diff --git "a/data/dm_maths/full_data_1/11152_11255.jsonl" "b/data/dm_maths/full_data_1/11152_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/11152_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let q = 4 - 6. Let t(w) = w**3 + 8*w**2 + 7*w - 7. Let y(c) = c**3 + 7*c**2 + 6*c - 6. Let p(k) = -5*t(k) + 6*y(k). Give p(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 281 - 79 = -70*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1160, -1158, -1156, -1154, -1152?\n\"Answer: 2*s - 1162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 4*v - 3*k - 42, 4*v = -5*k - 16. Calculate the remainder when 1709 is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1160 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*n - 33 = -11. Let k be (-6 - (0 - 0)) + -25 + 26. Let t(j) = -3*j + 2. Let m be t(1). Sort k, 4, m, n in descending order.\nAnswer: 4, n, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4060107 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2058924681 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven fifths of a litre in millilitres?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 268*t**4 + 280*t**3 - 524*t**2 - 24*t = 0. What is t?\nAnswer: -2, -3\/67, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 + y + (0*y + 4*y - 3*y)*(2 - 3 + 2))*(-705*y - 349*y - y**2 - 189*y) to the form x + p*y**3 + a*y + j*y**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153*p - 44*p - 60*p - 52*p - 636 + 636.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**3\/9 - 12274*s**2\/3 - 98230*s\/3 - 257866\/9 = 0. What is s?\nAnswer: -7, -1, 18419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.35 - -2.35. Let a = 888.09 - 876. Let w = -12 + a. Sort 3, w, k.\nAnswer: k, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g + 1 = -g + 4*t, -5*g = 5*t + 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l - 1. Let p be x(-1). Let k = -4 - p. What is the remainder when ((-14)\/(-7))\/(k\/50) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2742 (base 10) in base 4?\nAnswer: -222312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.7 + -1.2. Which is the nearest to -1? (a) 0 (b) -1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43 + 42.7. Let q = -0.01 + 0.01. What is the second smallest value in p, q, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g = 3*h + 5*g + 333, g - 222 = 2*h. Let s be ((-37)\/h)\/((-3)\/(18\/11)). Which is smaller: -8\/7 or s?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275752915453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 31*y**3 - 3*y**2 + 13*y - 16. Calculate the least common multiple of o(2) and 24.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 5:46 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -41. Let p(x) = 23*x**3 - 2*x**2 + 1. Let q be (3 + 1 - 3)*1. Calculate the least common multiple of i and p(q).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2\/7, -0.047, -4.\nAnswer: -4, -0.3, -2\/7, -0.047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + -4*(-9)\/(-6). Put 10, 2, -7, o in decreasing order.\nAnswer: 10, 2, o, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233305535 (base 6) in base 10?\nAnswer: 4363619","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**3\/4 + 13578*b**2 - 2662071*b + 5269824 = 0. Calculate b.\nAnswer: -18298, 2, 192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34888397 - -34885937.8991. Let p = x + 2459. Round p to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 32065468 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 700 and 43100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3628617*u**3 + 4351180.\nAnswer: -10885851*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 8*g**2 - 8*g + 120. Let v be l(6). Solve v*m - 5*m = -8*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10776 is divided by 117?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 215 = -4*h. Suppose -35 = 2*z - h. Let v(j) = j - 2. Let c(l) = 4*l - 8. Let y(g) = 2*c(g) - 9*v(g). Calculate y(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -69*a**4 - 8638*a**3 - 768*a**2 + 944*a - 1 wrt a.\nAnswer: -1656*a - 51828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.80525456 rounded to two decimal places?\nAnswer: 1.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.1 - 0.7. Let j = 17 + -16.7. Which is the closest to 1? (a) 1 (b) j (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38238 is divided by 12593?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-92)\/6 - 2\/(-6). Let i = w + 23. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - 38\/(5 - 4) - -8. Put 5, -6, w in descending order.\nAnswer: 5, -6, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, p: 3, t: 7}. Give prob of picking 1 h and 3 p.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 28 (b) -5 (c) -0.5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106 - 0 - ((117 - 67) + 7 + -39 + -12).\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-4) - 73\/(-44). Let x = 1\/11 + t. Which is the nearest to 2\/3? (a) x (b) -0.2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (1 - 4) - -1) + 16 + -15?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28847*j - 28848*j - 3*c - c = -84, -2*j + c + 204 = 0 for j.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -533429, -533365, -533277, -533153, -532981?\nAnswer: -532749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 98.919 + 0.081. Let v = 99 - r. Sort 0.3, -0.2, -0.11, v in ascending order.\nAnswer: -0.2, -0.11, v, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 47245 + -20400?\nAnswer: 26645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, 1, -101?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -554*o**2\/11 + 3460288*o\/11 - 24984\/11 = 0. What is o?\nAnswer: 2\/277, 6246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 417443 is divided by 238.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 369\/18 - 33\/22. Solve p*d = 66 - 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 0*a = -3*a + 62, -4*w + 2*a = 48. Is ((-18)\/w)\/(37\/(-40) + 1) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 307*g**5 + 24*g**3 - 64*g**2 - 303*g**5 - 75*g + 15*g + 2*g**4 + 22*g**4 + 72 = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -3.99. Let w = -23\/76 - 15\/76. Which is the nearest to w? (a) -3 (b) 5\/4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1743\/((4\/1)\/4 + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oofooffooofffffqqo. Give prob of sequence qoo.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o = 10*o + 3452 - 3716 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (5 - 1) - -1 - 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f + 17. Let c be z(7). Suppose c*t + r = -2*r - 2760, 3*t + 2748 = 3*r. Is t\/(-12) - (-4)\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - -4 - 0) + -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/(-5) - (-1473)\/15?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 529144 is divided by 756?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 27 = 3*u, 6*t = -u + 4*t + 8. Let x(q) = q**3 + 8*q**2 - 3*q - 6. Calculate the least common multiple of x(-8) and u.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 5*l - 8. Let g be 18 + 15\/(-1 - -6). Let v = -19 + g. Let n be o(v). Solve 2*s - 4 = n*t, -7 = 3*t - 1 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/2*185\/(-2269395)*87?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 17. Let j be (-1)\/((1\/(-17))\/q). Suppose 0*u - 2*u + j = v, 4*v + 5*u = 77. List the prime factors of v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/9*-18*(-11)\/264\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 + -32. Let h(s) = -s**2 - 9*s - 12. Let t be h(m). Suppose 0 = -t*w + 4*w + 24. Solve -2*c - w + 2 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 245*x**2\/2 - 10*x + 12. Let l be q(-6). Round l to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 41 - ((-12)\/(-3) - 4). Suppose -u - 25 = -n. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 368527842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 31753 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) - sqrt(600))\/sqrt(4))\/(sqrt(300)*-1).\nAnswer: 2*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/4)*(b\/b**0)\/b*(b**(-1\/2))**(2\/3) assuming b is positive.\nAnswer: b**(-7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -51, -94, -171, -294?\nAnswer: -475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1308*a**2 + 52323*a + 120.\nAnswer: 3*(a + 40)*(436*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 - -18. Let q(k) = -5*k + 11. Is q(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15 - -757c?\nAnswer: 7592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -6*m**3 + 113*m + 13. Let k(y) = 3*y**3 - 56*y - 6. What is 6*d(u) + 13*k(u)?\nAnswer: 3*u**3 - 50*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**3 - 3*b**2 - 4*b - 19. Let i(q) = -2*q**2 - 26*q + 5. Let f be i(-13). Is 4 a factor of j(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -61 + 5*n + 9*n**3 - 7*n**2 + 55 + 6*n. Let u be v(5). Suppose -4*a + u = 63. List the prime factors of a.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 165646378 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*w**5\/6 + 4217*w**4\/6 + 29577*w**3\/2 + 640703*w**2\/6 + 826042*w\/3 + 93982 = 0. What is w?\nAnswer: -822, -7, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -105396\/3905 and -26 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 <= -56.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 5*h + 14. Solve -4*z + 3 = u, h*z - 2*u = -u - 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**31)**(-3\/11) assuming u is positive.\nAnswer: u**(-93\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92 and 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**3 - 17*h**2 - 2. Let n(d) = -5*d**3 - 34*d**2 - 4. Determine 4*n(a) - 9*w(a).\nAnswer: -2*a**3 + 17*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 99 + -23. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*i - 3036 - 3462. Is i a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2172356, -4344709, -6517062, -8689415, -10861768?\n\"Answer: -2172353*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10886 is divided by 55.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000160064 to 6 decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**2 - 253*t - 9370. Let g(v) = -33*v - 1. What is the lowest common multiple of g(-2) and x(-30)?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*b + 54*b = 972. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/10)\/((-112)\/70). Which is the nearest to 0? (a) -2 (b) u (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9758 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -378 = 28*u - 60*u - 22*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vavavvavjaavvva. Give prob of picking 3 v.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/4)\/((-9)\/(-60)). Suppose -24 = 4*q - g*q. Suppose -25 = -2*w + 5*j, 4*w + j - q*j - 57 = 0. Solve -4*v + w = v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - 15, c - 29 = -10*k + 13*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -2*c**5\/3 - c**4\/3 + 4. Suppose l(b) = 0. What is b?\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185329108667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2 - 21*k + 6. Let c be v(10). What is the third biggest value in 2\/9, c, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and -1.2454.\nAnswer: -1.2454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63 and 399.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 522*u + 13*u**4 + u**2 - 12*u**2 - 8*u**4 - 2*u**4 + 6*u**4 wrt u?\nAnswer: 108*u**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 11) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 10529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -2\/21, 8.66 in ascending order.\nAnswer: -0.5, -2\/21, 8.66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2*h = -13, -2*y = y + 4*h + 5. Let p = 3 - y. What is the highest common divisor of p and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19\/6 or 0.03807944?\nAnswer: 0.03807944","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -240*j - 32. Let q(g) = 37*g + 5. Determine -5*o(m) - 32*q(m).\nAnswer: 16*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) 3.88 (c) 1 (d) -0.4 (e) 55\/3 (f) 0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = 5*x + k, -23 + 8 = -2*x + 5*k. Suppose -x*b + 9*b = -1089. What is the remainder when b is divided by 32?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 603.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-2)*(-28)\/6)\/((-26)\/156*4).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**2*(p**(-5)\/p)\/p)**33)**(1\/11) assuming p is positive.\nAnswer: p**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0136202 to four dps.\nAnswer: 0.0136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 358 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -12*r**3 + 82*r**2 - 42*r - 42. Let a(p) = 8*p**3 - p. Let z(j) = -2*a(j) - d(j). Determine h so that z(h) = 0.\nAnswer: -21, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 3*j - 20. Suppose 5*m - 20 + 80 = 0. Let a be o(m). Suppose 0 = -5*i - 2*w + 96, -4*i + w = -3*w - a. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7274 is divided by 519?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*r - 3*r - r)*(-510 + 180 - 237 - r)*(2*r - 2*r**2 - 2*r) in the form p*r**3 + n*r**2 + b*r + g*r**4 + z and give p.\nAnswer: 2268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 + -31.81. Let p = h - -0.01. What is the nearest to 0 in p, -1, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -923*k**5 + 19*k**4*l**3 - 3*k**2*l + 29*k*l**3 - 76*k*l wrt k.\nAnswer: -55380*k**2 + 456*k*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 33*y**2 + y - 27. Let m be h(33). What is the fourth smallest value in 2, -2\/11, 0, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -288, -272, -246, -210, -164, -108?\n\"Answer: 5*i**2 + i - 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 440 and 261316.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddddddddddtdddddd. What is prob of sequence dt?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 109, 223, 335, 445, 553, 659, 763?\n\"Answer: -r**2 + 117*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 12:34 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 0 + 0)*(-4 + 5 - 2)*(112*o + 519*o**3 - 82*o**3 - 115*o).\nAnswer: 437*o**4 - 3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 16*k**2 - 187. Let a(u) = u + 179. Give d(a(x)).\nAnswer: 16*x**2 + 5728*x + 512469","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cchhzhzhhzhhzzhh. What is prob of sequence zc?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -303.403 to the nearest 10.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + ((sqrt(243) - -6*sqrt(243)*-1) + ((4 + sqrt(243) + 2)**2 - sqrt(243)))*2*-1).\nAnswer: 108*sqrt(3) + 560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ikkiiiikiikkikkkikk. What is prob of sequence ki?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -6*q - 25. Let n be y(-5). Suppose 2*c + j - 982 = 6*j, -c - n*j = -506. What are the prime factors of c?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21.02 - 21.0201605. Round l to 5 dps.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-5)*(-60)\/(-48). Determine q, given that 1\/2*q**2 + 0*q + 0 - l*q**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5136.276kg?\nAnswer: 5136276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 101450*d**2. Let g(w) = 227*w**2. What is g(p(z))?\nAnswer: 2336307267500*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 78 + -22?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**2. Let q(y) = 21*y**2 - 528*y + 2. Calculate q(u(r)).\nAnswer: 84*r**4 - 1056*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 27*o**2 + 190*o + 6. Give a(8).\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2911 and 31808?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 29 - 12 + 0*c**3 - c**3 - 58*c**2 - 4 - 11 in the form i + r*c + l*c**2 + j*c**3 and give l.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -3*h + 3*d, -20*d + 16 = -2*h - 25*d for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 + 3*a**2 - 4*a**2)*(799*a + 1183*a - 314*a + 826*a).\nAnswer: 2494*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 2*t = -6, -37*t + 34*t - 19 = -i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 4*a - a + 7*a)*(-2*a - 2 + 2)*(-59 + 7*a**2 + 59).\nAnswer: -140*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 43 and 37 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 151*a + 38*a + 5229 + 1764 for a.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 0 + sqrt(5324))**2 + -1*(sqrt(176) + 1))*4 + 2.\nAnswer: 160*sqrt(11) + 21298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12540.2 * -0.99.\nAnswer: 12414.798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/356412 and 67\/252.\nAnswer: 1069236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-4) - (-17)\/8. Let x = -1\/19715 - 19712\/59145. Which is the nearest to x? (a) s (b) 0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (28\/(-6)*(-222)\/(-259))\/14. Let o = -4.4 - -4. What is the smallest value in -0.06, 0, o, s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 466086 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**3. Let r(m) = 7*m**3 - 6. Let k(q) = -q**3 + 1. Let u(g) = -6*k(g) - r(g). What is -6*u(i) + 2*w(i)?\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o = -19*o + 35. Let d(a) = 6*a + 5. Let x(s) = -s - 1. Calculate o*d(w) + 5*x(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*o - 360 - 314 + 674.\nAnswer: 20*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (56\/(-10))\/(6\/(-45)). Suppose 2*x - 2*v = 3*v + 51, 4*x + 2*v = h. Let o = -32 - x. Round o to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 17699291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 228427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h + 10. Suppose 2*o - 2*u + 14 = -2*o, -2*u + 12 = -2*o. Let z(v) = 0 + 1 + 0. Let f(y) = o*d(y) + 6*z(y). Give f(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 288 and 15?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 6\/7, 11.\nAnswer: -4, 0, 6\/7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*50*4\/8. Suppose 4*a - m - 4 = 0. What is the units digit of 20\/130 - (-594)\/a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1500\/(-1125))\/((-7)\/(-3))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 + 6*r**2 - 2*r**2)*(-12 - 45 - 207).\nAnswer: -1320*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 61 or 901\/15?\nAnswer: 901\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 72 * 0.0866.\nAnswer: 6.2352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -601, -1319, -2159, -3121, -4205?\nAnswer: -5411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide (-2)\/6 + (-2197)\/(-39)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2128151819 is divided by 15410.\nAnswer: 15409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h**2 + 13*h + 13. Let q = 4626 - 4619. Let y(o) = -3*o**2 - 9*o - 9. What is q*y(b) + 5*m(b)?\nAnswer: -b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13426*g**2*l**3*x**2 - 391*g**2*x**2 - 723*g*l**2*x**2 - 6*g*l**2*x - 31*g*l**2 - 2*l**3*x + l**3 wrt g?\nAnswer: -26852*l**3*x**2 - 782*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.027 - -0.447. Let s = t - -0.08. Let a = -215\/6 + 36. What is the closest to -1\/4 in a, 4\/9, s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -c68941?\nAnswer: -c68939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1428 <= -1428?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 733236096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 969, 918, 843, 738, 597?\n\"Answer: -h**3 - 6*h**2 - 26*h + 1002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/2)*s**(-1\/8)*s*(s*(s**(3\/7)\/s)\/s*s)**(-1\/5))**(4\/5) assuming s is positive.\nAnswer: s**(81\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -12352151 (base 6) in base 13?\nAnswer: -1118b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3696 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 702576007 to the nearest integer?\nAnswer: 26506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -1 - (75 - (-8 - (-6 - 24)))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5\/65*(-20)\/(-10)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-1*(sqrt(350)\/sqrt(2))**2.\nAnswer: -700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -128\/3 - -1667\/39. Let k = 33\/91 - m. Let 2\/7*v**2 - k + 0*v = 0. Calculate v.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71045, -71167, -71291, -71417, -71545, -71675?\nAnswer: -71807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m + m + 2 + 12*m.\nAnswer: 11*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 7:27 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -3 + 7 + 45 + -61 - 51?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z - 15. Let h(s) = s**2 - 7*s + 6. Let x be h(5). Determine c(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 642 - 458. Calculate the common denominator of -16 and (-5 + f\/36)*(0 - 25).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 200\/(-60) + ((-8)\/(-2) - 0)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.12 - -5.12. Let k = 4.8 - f. Let z be ((-4)\/(-6) + 0)\/2. What is the closest to z in k, -4, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 5. Let i(n) = n**2 - 9*n + 5. Let a be i(g). Let w(v) = 2*v**2 + 5*v + 2. Does 5 divide w(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 668, 1858, 4490, 9284, 16960, 28238, 43838, 64480?\nAnswer: 90884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 6:43 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) -2\/5 (c) 2\/3 (d) -119 (e) -5 (f) -0.6 (g) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((16\/192*-18)\/(-29))\/(((-36)\/(-16))\/(-3)).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of b**4\/3 + b**3\/3 + 5*b**2 - 5*b + 15. Let s(z) be the first derivative of r(z). List the prime factors of s(-5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212127229?\nAnswer: 19, 23, 485417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/17892489 and 7\/24.\nAnswer: 143139912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*r**2 - 6*r**2 + 2 - 18*r**2.\nAnswer: -36*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8865.85 - -8866.312211. Let r = -101.457311 + j. Let k = 101 + r. What is k rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 7. Suppose -3*a + o*w - 3*w = -120, -3*a + 120 = 5*w. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 3, -o = -4*q + 20 - 7. Suppose 8 = -3*s - 4*c + 37, 10 = 2*c. Solve -3*w - q*k + 9 = -0*w, s*k - 9 = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(68) - sqrt(68))\/sqrt(4) + 4*(-1 + sqrt(17))**2.\nAnswer: -7*sqrt(17) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9142 and 15251468?\nAnswer: 1306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 + -34. Let s be ((-9)\/6)\/(27\/(-4)). What is the nearest to -1 in h, s, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1474298437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.588 times -1.59?\nAnswer: 2.52492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -463 times -284\nAnswer: 131492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59 + -52. Is 8 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 1548 = 2*o - 446, 0 = -4*s - 5*o + 1109. Let v = 387 - s. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9682417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 20 - i**2 + 15851*i**3 - 1992*i**3 - 8*i**2 + 0*i**2 + 12*i. Let p be n(-10). Round p to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -2010?\nAnswer: 2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-2952))\/(13*46\/(-2691)).\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/888 and -57\/40?\nAnswer: 4440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -79 + 68 + 2 + -2 + 18\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 40*f**2 + 39*f - 7. Let o be k(-39). Let t(r) = r**2 + 5*r - 22. Calculate t(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -19. Is -3\/2 != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rk when two letters picked without replacement from {k: 2, a: 1, r: 2, s: 1, n: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -42241 + 1?\nAnswer: -42240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -7*(-5 - (-66)\/14). Suppose 37 + 25 = 3*d - z, 4*z + 8 = 0. Solve b*r + d = 5*g - 2*g, -5*g = -r - 24 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -2*b - 2. Let o be (-6)\/4*b*-22. Let g = 625 + -601. Solve -2*i - o = -5*k - 12, -3*k = -5*i - g for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20393*u**3 - u + 475266 wrt u.\nAnswer: 61179*u**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 325.8 - 358. Let x = u - -32. Let y = -0.21 - -2.21. Which is the closest to 3? (a) x (b) -3\/4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -432566 or -431331?\nAnswer: -431331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 840*l**3 + 756*l**4 + 46*l**2 + 500 + 1248*l**3 + 108*l**5 + 1900*l + 2794*l**2 = 0.\nAnswer: -5\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 9 + (12 - (-8 - -21)) - 9 - 22?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from nnnnnnnnnnnnnonnnnn.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.4 (b) -107 (c) -0.2 (d) -0.5 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5*z = 6*z - 853, 4*z + 550 = -2*d. Let a = d - -287. Solve 5*x = 4*m + 35, 3*m = a*x + 4*m - 7 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 4*b**2 - 4*b + 6*b**3 - 5 + 70*b**3. Let z be l(5). Round z to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 s when three letters picked without replacement from qssqxsxxqxsxqxsxx.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13090798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*n = -39*n + 35. Let r = n - 23. Suppose i - r = -0*i. Solve -5*t - 37 = -i for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 190691?\nAnswer: 3\/190691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2510735 + -1?\nAnswer: -2510736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3240732 rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 u, and 2 c when four letters picked without replacement from cuuccuru.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-74)\/370 + (3 - 8)\/(-25)*31.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 25*n**2 - 23*n - 8. Let p be g(24). Let l be p\/6*9\/6. Is l greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -237*z - 16. Let a(w) = 356*w + 23. Let p be (-3 + -2)\/10*10\/(-1). Let j(s) = p*a(s) + 7*n(s). Differentiate j(o) wrt o.\nAnswer: 121","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/12*(-1)\/4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72608.\nAnswer: 2, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 749971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 172 = -7*n + 6*n, -l - 1 = 0. Determine m, given that -n*m - 161*m + m**2 + 316*m = 0.\nAnswer: 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4651 - -8\nAnswer: -4643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1827 and 49?\nAnswer: 12789","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*c**3*f**3*s**3 - 49*c**3*f**3*s**2 + 7*c**2*f**3 - 5*f**3*s**3 + f*s**3 wrt c?\nAnswer: -18*f**3*s**3 - 294*f**3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/9 - 2602*x**2\/9 - 2600*x\/9.\nAnswer: -2*x*(x + 1)*(x + 1300)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 996459 and 24094.\nAnswer: 1721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17)*1 + 2)*5)**2.\nAnswer: 100*sqrt(17) + 525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32.2556l to millilitres.\nAnswer: 32255.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -46, -130, -248, -400, -586?\nAnswer: -806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-188)\/(-9212))\/((-2)\/(-14)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/9))**(-2\/29) assuming u is positive.\nAnswer: u**(-4\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*q**3 - 552 - 855*q**3 - 43*q**3 + 552.\nAnswer: -853*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ztt when three letters picked without replacement from tzzzzzztzztztzzzzzzz?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4907 - -12482. Let l = 17044 - i. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2442*o. Let g(u) = 2*u. Determine g(y(n)).\nAnswer: -4884*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(3) + -1) - (sqrt(147)*-1 + sqrt(3)))**2 - (sqrt(1176)*1)\/sqrt(8).\nAnswer: 9*sqrt(3) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -0*a + 56. Is a a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -9 + 1 + (-567 - -575)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from puyrpib. What is prob of picking 1 i, 1 r, 1 p, and 1 b?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 5:56 AM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 14, 47, 100, 179, 290, 439, 632?\nAnswer: 875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 n, and 1 z when three letters picked without replacement from nyndndz.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**5\/9 - 453298*o**4\/9 - 25693721468*o**3\/9 - 1001329085212*o**2\/9 + 2079741148030*o\/9 - 1052717888050\/9 = 0.\nAnswer: -113305, -41, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n - 2*f = -61, -9 = n - 60*f + 45*f + 17*f for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.09 - 19.29. What is o rounded to zero decimal places?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 8) in base 11?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/4 - 14*l**2 - 513*l\/4 - 405\/2.\nAnswer: -(l + 2)*(l + 9)*(l + 45)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.2028954 from 20.\nAnswer: 21.2028954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -512*k**3 - 3*k + 127.\nAnswer: -3072*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -56, -38, -16, 4, 16?\n\"Answer: -f**3 + 8*f**2 + f - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3\/2 + 15*a**2\/2 + 39*a\/2 + 21\/2.\nAnswer: -3*(a - 7)*(a + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2148978315 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53714 and 3065212?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11236*t**3 + 6382260*t**2 + 120417*t + 568.\nAnswer: (t + 568)*(106*t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13301 and 426854.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2792, -3803, -6620, -12155, -21320?\nAnswer: -35027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 - 42567*u + 13801572.\nAnswer: 3*(u - 13857)*(u - 332)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b**3 + 11*b - 5. Let l(o) = -8*o**3 - o**2 + 32*o - 15. Let q(x) = -11*d(x) + 4*l(x). Suppose 6*m - 3 - 39 = 0. Is q(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 0)\/(-1 + 2). Suppose 3*u - 2*b - 60 = m, -b = -u + 2*u - 15. What is the highest common divisor of u and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 1518*d**3 - 99. Let v(t) = 31*t**3 - 2. Calculate 2*b(f) - 99*v(f).\nAnswer: -33*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 8*m - 7. Suppose 2*v - 12 = 3*g + 7, -4*v + 23 = -3*g. Calculate s(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*a**2 + 3*a**2 + a**2 + (-2*a + 2*a + 2*a**2)*(0 + 4 + 0).\nAnswer: 20*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 59612, 119481, 179350, 239219, 299088?\n\"Answer: 59869*y - 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1650 - 1640. What is the least common multiple of 1080 and y?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3*d = -16*d. Suppose -5*z = 5*l - 895, 3*l - 3*z + 0*z - 549 = d. What are the prime factors of l?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 18\/5, 0.06?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 j when four letters picked without replacement from pppqpqpppjojjqpppppp?\nAnswer: 78\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**2 - 3*m**2 + 5 - 16 to c*m**2 + f + j*m and give f.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1731845026.\nAnswer: 2, 29, 29859397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m\/(m**1\/m)*m*m)\/m)*m*m)**(-19\/6))**(-1\/13) assuming m is positive.\nAnswer: m**(19\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 - (2 - 1 - -10 - (4 + -1))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.21 + -0.01. Let q = 25090 - 25086. Sort q, 1\/3, o, -2\/61 in decreasing order.\nAnswer: q, 1\/3, o, -2\/61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, x: 2, m: 2, v: 8, l: 2}. Give prob of sequence fx.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t + 26*t + 339 + 31 = 0 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 4:48 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 1333 = 3*l, 2*l - 832 = 3*d + 56. Is ((-1)\/3)\/((-1)\/l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, q: 5}. Give prob of sequence qcq.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5370549 is divided by 2685240?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/11)*n**(-6)*n)\/(n**(-1\/15)\/n*n**(-1)*n))**(2\/21) assuming n is positive.\nAnswer: n**(-1238\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h = -43 - 1 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyk. What is prob of sequence ky?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2566840 + 1423840. Round v to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48861 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**4 + 135*n**3 + 1137*n**2 - 8775*n + 7500 = 0. Calculate n.\nAnswer: -25, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3138137754 to the nearest integer?\nAnswer: 56019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/3*((-428)\/6634 - 538\/310)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 2.18\nAnswer: 2.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -637, 5, 2, -1 in ascending order.\nAnswer: -637, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s = -12*s - 6. Put 0, s, 2 in descending order.\nAnswer: s, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 13\/(-15) + (-20)\/150. Is (j - 0\/(-3))*-37 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 671*s**2 - 3171*s**2 + 646*s**2 + 1166*s**2 + 679*s**2.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 36*m**2 + 69*m + 103. Give p(-34).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*w + 3*w - 41*w + 341 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.053 from -0.282.\nAnswer: -0.335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0468637629 rounded to 6 dps?\nAnswer: -0.046864","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, q: 12, t: 2}. Give prob of sequence qo.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 448174.1 millilitres in litres?\nAnswer: 448.1741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 11:37 AM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1 + sqrt(425) + sqrt(425))**2 + -1 + sqrt(833)*1 + (2*(sqrt(153)*4 - sqrt(102)\/sqrt(6)*-6))**2.\nAnswer: -13*sqrt(17) + 23734","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 10*f - 5*f - 5*f + 2*f**2 as n*f + z*f**2 + p and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + (2 - (-1 - -75)). Let d = h - -61. Let z be (2*3\/9)\/(d\/9). Which is the nearest to 0? (a) 1 (b) z (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 117 (b) 0.05 (c) 0 (d) -0.3 (e) 3\/2 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-154))\/((((-126)\/345)\/14)\/(48\/(-40))).\nAnswer: 46\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 478805 and 170.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 29.2 (c) -30 (d) -2 (e) -2\/21 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 q when three letters picked without replacement from qqyyqyyyqyyyqqyyyy.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*b**4 + 544762*b**3 - 33281174*b.\nAnswer: 324*b**2 + 3268572*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 10. Let b = -0.1 + -0.5. Let f = w + b. Is -2 at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -27379*x**2 + 61*x - 742. Let v be r(21). What is v rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 + 21 = 3*j. Let v(s) = -s**2 - 24*s - 8. What is the remainder when v(-19) is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -48f7c1?\nAnswer: -48f7c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2276\/3813 + -119\/246. Find the common denominator of 29\/50 and p.\nAnswer: 1550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.14 - 0.2. Let v = -2.35 + 32.75. Let o = v + -26.4. Which is the second biggest value? (a) o (b) -4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000398322836 rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 386 a factor of 7039482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 - 3.9. Let b = 3.7 + u. What is the third biggest value in 1, -2, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t - 1. Suppose 24 = 12*y - 12. Suppose 2*l - 29 = 2*d + y*d, -27 = -l + 5*d. Suppose l*s - s = -9. What is q(s)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -545.5714183 rounded to 0 decimal places?\nAnswer: -546","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3241051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 47. Let d = -29 + i. Which is the second biggest value? (a) d (b) -3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 59669, 119335, 179001, 238667?\n\"Answer: 59666*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -24234 (base 8) to base 6\nAnswer: -120044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -308323315 from 1.\nAnswer: 308323316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (sqrt(432) - -2*sqrt(432)) + -4)*-3)**2*-5.\nAnswer: -177840 + 25920*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21783493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 897624 a multiple of 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 a when two letters picked without replacement from {a: 5, b: 1, d: 7, m: 1, v: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42619.99982657 - -42620. Round t to five decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -2, 5, 92, -1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 (base 5) in base 4?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 56*q**2 - 163*q - 12. Let t be o(3). Solve 0 = 5*n - 5*i + 35, t*n + 4*i - 24 = 6*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by -47?\nAnswer: -18\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a + 4. Let i be t(-3). Suppose 0 = 3*p + 4*x - 13, -5*p + 2*x + 0*x = -i. Sort -5, 1, p in decreasing order.\nAnswer: p, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**2 - 257 + 149 + 108. Suppose 3*t = 5*k - 241, -4*t - 112 - 84 = -4*k. Let h(p) = 12*p + 47 - k. Calculate w(h(b)).\nAnswer: 288*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 19*w - 7. Let x be i(-3). Let p be (-4)\/(-6)*24\/x. Which is the nearest to p? (a) 4 (b) 2\/13 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -181 - -1631\/9. Let l = -10.7 - -3.2. Let u = 7 + l. Which is the closest to 1? (a) 0.1 (b) u (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*l + 78 = 4*v, 4*v = 2*l + 84. Let x = v + -23. Let z(b) = -8*b. Is z(x) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 19 (c) 3 (d) -11\/9 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 4*x - 16. Let s = 60 - 53. Let z be r(s). What is the second derivative of 5 + 16*t**5 - z - 21*t + 5*t**5 wrt t?\nAnswer: 420*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112654250 is divided by 3435.\nAnswer: 3425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 2*b**3\/21 - b**2\/7 - 2. Factor f(o).\nAnswer: 2*o*(o - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b + 12. Let q(g) = 58*g + 1747. Let m be q(-30). What is u(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*z - 499*z - 331*z)*(-3 + 3 + 1)*(2 - 4*z + 0 + 3*z) in the form a*z + x + p*z**2 and give p.\nAnswer: 817","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m - 5*m**3 + m**2 + 4*m**3 - 5*m. Let g be o(0). Suppose g*y = 4*y + s - 183, 146 = 3*y - s. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 45 - 396.\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131747.\nAnswer: 7, 11, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -335*w - 9880. Let v(x) = 15*x + 449. What is 2*t(k) + 45*v(k)?\nAnswer: 5*k + 445","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -54043180 at most as big as -54043181?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0028971 to 5 dps.\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -360024 + 2?\nAnswer: -360022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (29 - (-13 + 27) - -12)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 3:31 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 15. Suppose -m*h + 34 = 2*f, -4*h = 5*f + 44 - 134. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 3*y + 8 + 3, -4*y = -2*c + 2. Let q(k) = -12*k. Let m(b) = -16*b. Let o(j) = c*q(j) + 4*m(j). Let r(p) = -24*p**2. Determine o(r(a)).\nAnswer: 96*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*s + 13, g + 15 + 1 = 3*s. Suppose -16 = 4*j, -2*j + j = 3*m + 19. What is the biggest value in s, m, 0.4, -6\/25?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4 + 0. Let j = -7 - -12. Let f = -21\/2 - -11. What is the third biggest value in o, f, j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*h = -4, 0*t + t + 1 = -2*h. Is (t\/(3\/(-2)))\/(12\/648) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 124.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3548217.\nAnswer: 3, 1182739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (1 - -22) - (0 - -9).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*b + 254 = 918 + 62 + 1059 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -281*r - 104996 = -92888 - 338630. What is the highest common divisor of 830 and r?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2157?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1461015*f - 2114231.\nAnswer: -1461015","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v = 5*h - 5, -6*v = -5*v + 4*v + 4*h + h + 7 + 13 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 9 = 33. Let z(x) = -x. Let f = 1491 - 1489. Suppose 0 = 5*s - 2*u + 7, u + f = -3*s - 0*u. Let h(q) = -8*q - 2. What is p*z(w) + s*h(w)?\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1002758*u**4 - 211976?\nAnswer: 4011032*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-203 - 493)*9\/216?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 15*i - 4. What is j(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/24*(20 + 2416\/(-120))*2.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -11, -3\/4, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -78 + 83. Suppose -36 = -3*h + 5*q - 1, 2*h - 30 = 5*q. Solve -z*b + h = -0*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/3 + 3 + 1. Is 10 a factor of (-1)\/(l\/(-4)) - -33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/2, 0.345, 0.1, 7, 2\/15, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 266 by -2.\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -103 + 611\/6. Let u = 1265 + -3833\/3. What is the common denominator of f and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -35, -149, -339, -605, -947?\n\"Answer: -38*c**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 87.34 + -87.34. Sort -2\/13, -0.6, 3, -3, q in descending order.\nAnswer: 3, q, -2\/13, -0.6, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*(r\/(r\/(r**15*r))*r)\/r)\/r)\/(r\/r**(-2\/25)))\/(r**(-36)\/r*r*r**(19\/5)*r) assuming r is positive.\nAnswer: r**(1153\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(16) - -6*sqrt(16)*2)\/(-2*sqrt(128)).\nAnswer: 13*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*n + 69 = 0, n = -2*c + 4*n + 87. Does 17 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 72520475.107126 + -72520400. Let d = v - 74.2672. Let g = -0.84 + d. Round g to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*k = -9*k + 1358 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -59 - -61. Suppose -5*l - y - 14 = -56, -l + 3 = h*y. Calculate the remainder when 34 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**2 + b + 1. Let u be a(-1). Let n be u\/(-1)*(-6)\/4. Let z be (6 - 2) + n\/(-3). Solve 0 = z*r + 5*p - 25, -4*p = r - 1 - 4 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 29. Let x be ((-1*4)\/(-2))\/((-56)\/(-140)). Solve n + q = -4*s + 4, -5*s - 10 = x*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 17. Suppose -8 = -3*i + 4*y, -y = -3*i - 3 - 4. Let l be 0 - 9\/(-4 - (i - -1)). Let z be w(l). Is -65 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 222 - 218. Calculate the lowest common multiple of 2 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -6*r + 28. Let v be i(4). Suppose 0 = -v*o + q + 947, 0 = 3*o + 4*q + 19 - 715. List the prime factors of o.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-24)\/9)\/(14 - (-792)\/(-54)). Solve 2*d - a*v - 1 = -3*d, 0 = 2*d - 2*v - 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000586132135 to 6 decimal places.\nAnswer: 0.000586","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 341 + -340.9. Which is bigger: p or 0.232?\nAnswer: 0.232","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 6:45 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*j + 118*j - 1 - 123*j**2 + 126*j**2.\nAnswer: 3*j**2 + 62*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 7*s - 8. Suppose -85 - 25 = -s*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -300*h**2*q**5 + h**2*q**3 - h**2 + 46*h*q**2 wrt q?\nAnswer: -18000*h**2*q**2 + 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5915 is divided by (490\/56 - -8) + (-1)\/(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3*d - 6, 4*d - 4 = -3*n - 10. Let r be (0 - n)\/(-8) + (-561)\/(-2516). Is 1 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 8*r**2 - r - 3. Let p be d(-8). Suppose 0 = 2*x - 5*h, -4*h = -0*h. Suppose 6*u = 12 - x. Solve 3 = u*y - 7*y + 4*v, -p*v = -3*y + 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4330524.\nAnswer: 2, 3, 11, 53, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (6 - -112) + (6 - (-9 - -35)).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2 - 4)\/4*-46 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41732 is divided by 296.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r. Let n(h) be the second derivative of -31*h**4\/12 - 80*h + 2. What is l(n(p))?\nAnswer: -124*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2662 - 90515*m + 1329 + 1333.\nAnswer: -90515*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-7)*(-4)\/(-3) - -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (0 - 1 - -1) - 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101 + -13?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -1\/5203172 in increasing order.\nAnswer: -1\/5203172, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8736 by -312.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*p**2 + 4*p**3 + 769*p - 6*p**3 - 819*p + 5*p**2 = 0. What is p?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -362*p + 3. Let u(j) = -8*j. Give t(u(y)).\nAnswer: 2896*y + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 1881*i - 73. Let n(h) = 2*h**2 + 61*h + 36. Let g be n(-30). Is v(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, c: 2, e: 4, x: 1, q: 1}. Give prob of picking 1 x, 1 q, and 2 c.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 438 is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48444 - 48457. Sort i, 1\/2, -10\/9, 0.1 in decreasing order.\nAnswer: 1\/2, 0.1, -10\/9, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of t**6\/240 + t**4\/4 + 3*t**2. Let g(l) be the second derivative of r(l). Let i(c) = 4*c. Give i(g(q)).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-120)*(62\/(-154) - 1518\/(-2783))?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9449952 is divided by 1281.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i\/(i*i\/(i*i**(-1\/6))))\/i)**12 assuming i is positive.\nAnswer: i**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1640*u**3 + 1643*u**3 - 3282*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -76, -101, -122, -139, -152?\n\"Answer: 2*k**2 - 31*k - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven halves of a meter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a millimeter in micrometers?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 15. Let z(t) = 2*t - p*t + 9*t - t. Let a(m) = 8*m + 10*m - 11*m. Determine a(z(k)).\nAnswer: 35*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.657 - 0.957. What is the third biggest value in -11, v, 0.3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m - m - 4*m + 6*m. Let l(f) = 6*f**2. Determine l(x(t)).\nAnswer: 54*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 101349, 180110, 258871?\n\"Answer: 78761*z + 22588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*a - a + y, 4 = -4*y. Let u(c) = -c - c**2 + 3*c**2 + 4 + 7*c - 3*c**2. What is the smallest common multiple of a and u(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*k - 108*k + 235*k - 107*k - 105*k.\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -745 (c) 2 (d) -20.41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 7:07 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yc when two letters picked without replacement from {y: 2, s: 3, a: 2, c: 9}?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*p = -27*p - 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-14\/9))\/s)\/s*s\/(s**(2\/59)\/s*s) assuming s is positive.\nAnswer: s**(-844\/531)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/5)\/((-2022)\/33700)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2355696 divided by -38.\nAnswer: 61992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1797*p - 1789*p + 5397*p - 1812*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1024 (base 8) to base 4\nAnswer: 20110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4309 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22351*h**2 + 3*h + 630569.\nAnswer: -44702*h + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3402 is divided by 83.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*o**2 - 36*o**2 - 39*o**2 + 152*o**2 - 37*o**2 + 1803*o in the form v*o + j*o**2 + m and give v.\nAnswer: 1803","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -5*n**2 - 184*n + 2996. Calculate a(-49).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xfux. What is prob of picking 1 x and 1 u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 7*f + 3518. Let v(x) = 2*x**2. Calculate v(j(a)).\nAnswer: 98*a**2 + 98504*a + 24752648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14.4018374666 - 70399.7638544666. Let x = h + 70352.362. Let g = x - -33. Round g to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/572550 and -121\/400?\nAnswer: 4580400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 - 2)\/(3\/(-842)). Let n = -797 - y. What is the remainder when 68 is divided by n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*b = -b - 21*b + 1242 for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3055 - 3056. What is the biggest value in -5, 1\/4, -0.13, g?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 28 - 23 - 4*w - 7*w - w. Let j be l(11). Round j to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 512.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66473, 58518, 50563, 42608, 34653?\nAnswer: 26698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -11101 (base 2) to base 7\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/8)\/(-1)*(2 + 6). Suppose 0 = 4*r + y - 63, c*r - 6*r + 93 = -5*y. Suppose 5*s - 4 = 21. Solve -2*n - 3*q + 13 = 2*q, -4*q = -s*n - r for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j**3 - 2 + 5*j**2 + 24*j - 22*j + 6*j**3 as r + t*j + u*j**3 + y*j**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.485299425356 plus 5?\nAnswer: 5.485299425356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8)\/(-2))\/92)\/(61\/(2318\/(-95)))?\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((1*sqrt(605) - sqrt(605) - sqrt(605)) + 2 - sqrt(605)) - (sqrt(605) - (2 + sqrt(605) + sqrt(605))*-3)*5)**2.\nAnswer: 25234*sqrt(5) + 829206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**2 - 57*j + 373. What is t(6)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -917 at most -925?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1.4, 4, -0.2, 3\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -808 - -1160. Suppose -6*j - 10*j = -z. Calculate the greatest common divisor of 99 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -122*k + 121*k + 6. Let f(j) = 15*j + 96. Let i be f(k). Calculate the greatest common divisor of i and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 37.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -15e?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 + 88 + (-1 - -2) + -3 + -4 + -7.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11.2569 - 0.0831. Let a = 28 - 40. Let s = a - j. Round s to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 127689 and -0.5?\nAnswer: -63844.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 + 34. Suppose -2*b - 4 = -3*a - 16, -5*b - 3*a = -30. Solve -w*s = -b*s + 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 296*u**2 + 16*u - 50. What is the tens digit of y(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z - 3*z + 0*z)*(1 + 0 + 0 + (3 - 2 - 3)*(2 + 1 - 1) + 0 - 2 + 1) to the form n*z + d and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.7, 1.25, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zgo when three letters picked without replacement from zgo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51651073*g*x**5 - 2*g*x**4 + 77*g*x**2 - 12*g*x - 64173*g wrt x.\nAnswer: -3099064380*g*x**2 - 48*g*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 5*z. Let b be j(5). Suppose -5 = -0*r - r. Suppose -r*f + 4*m = -10, b = -5*f - m + 2*m + 10. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 141391304 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 85*f*m**4 - f*m**2 + 1344*f*m - 155*m**5 + 2 wrt m.\nAnswer: 2040*f*m - 9300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -718, 0.4, 4, -0.3, 2 in decreasing order.\nAnswer: 4, 2, 0.4, -0.3, -2, -718","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ottttotttosvtgtottxt. Give prob of sequence tvt.\nAnswer: 11\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-1\/3)*c)**(1\/43)\/(c*c**(-1)*c)**(-8\/9) assuming c is positive.\nAnswer: c**(359\/387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -87*c**5 - 5*c**2 - 8?\nAnswer: -5220*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 69*r**2 + 23*r - 276. What is the thousands digit of z(25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.368789483 rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -1 - 3 + 1 + s**3 - 2*s**3. Let j(t) = t. Give x(j(k)).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 1584015.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*o - 3*o, 0 = 3*c - 4*o + 52. Let d = 7 + c. Let i = -2 - d. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, h: 1, s: 2, t: 1, a: 2, j: 2}. Give prob of sequence swt.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3*i + 0 + (3 + 2 - 7)*(-1 + 2*i + 1) + 5 - 2*i - 5)*(-23*i + 31*i - 25*i + 8 + (-2 + 2 - 1)*(0 + 0 - i)) as f*i + l*i**2 + b and give f.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -850 - 306*y**2 - 174*y**2 + 850 - 41*y**2. Let c(o) = o. Calculate c(g(q)).\nAnswer: -521*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39\/((-234)\/(-24)))\/((168\/(-318))\/14)?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6006, -12403, -19202, -26403, -34006?\n\"Answer: -201*c**2 - 5794*c - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1))**(-50)*(g**1)**(3\/23) assuming g is positive.\nAnswer: g**(1153\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 724, 1333, 1942, 2551, 3160, 3769?\n\"Answer: 609*k + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 21 + (-62 - -21).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 3*w**2 + 6*w - 4. Give k(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -12*r + 41 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-22)\/(-5) - 8\/20. Suppose 3*h - 3 - 17 = -4*j, -j + 18 = x*h. Suppose -13 + 40 = 3*a. What is the least common multiple of h and a?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 4 (b) 0.2 (c) 6.2 (d) 12 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20421149110 rounded to the nearest one million?\nAnswer: -20421000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 77, 76, 73?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 5, 0, -8673, -10, -2 in descending order.\nAnswer: 5, 3, 0, -2, -5, -10, -8673","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 1308804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(1\/3))**(19\/4) assuming x is positive.\nAnswer: x**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 751 and 1504253?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -142*q + 77*q - 11*q as f*q + h and give f.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1417 and 125450?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 1 + 2 + 8047*r - 8045*r.\nAnswer: 2*r + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2939200 and 3300?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 19)*20\/40. Let g = -28\/3 - y. What is the closest to -0.3 in g, 2, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gddddddggggdggdgdgg. What is prob of picking 3 d?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((1*sqrt(105) - sqrt(105))\/sqrt(7))\/(sqrt(12)*-5) + 1 + 1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/174572 and 85\/76.\nAnswer: 174572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123 - -11331132?\nAnswer: 11331003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(-28))\/(-3)*24\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 187\/(-22) - (6\/(-4) - 0). Let k(j) = 11*j - 1. Let b(v) = 5*v. Give z*b(s) + 3*k(s).\nAnswer: -2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -156 and -12 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-44)\/i*i*i**(4\/7)*i)**(-4\/23) assuming i is positive.\nAnswer: i**(1188\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -266*g - 3193. Let n be x(-12). Let l(j) = j**2 + j - 5. Let k be l(-4). Put n, 4, k, 5 in ascending order.\nAnswer: n, 4, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 11:45 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8787052, 8787059, 8787066, 8787073?\nAnswer: 8787080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 93 - 51. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22.276 + 15.276. What is the closest to -2 in h, -1, 2, 132\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -677*b**5 + 974*b**2?\nAnswer: -40620*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.92 - 24. Let r = m + 16. Let w = -0.24 - r. What is w rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69983 to the power of 1\/2, to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 13 - (2 + 3 + -3). Suppose 6*a - 3*a - 5*h + 14 = 0, 2*a = h. Solve a*t = g - 3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*b - 368696 + 51120187 + 16006931. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*f - 963 + 657 = -770 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 478 - 234. Suppose -4*p + 180 = -z. Calculate the remainder when p is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4*p + 4. Let h = -200 - -204. Calculate t(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 14*k**3 + 45*k**2 - 8*k - 12. Let y(w) = 5*w**3 + 16*w**2 - 3*w - 4. Let v(z) = -4*h(z) + 11*y(z). What is v(-5)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, l: 7, h: 8}. What is prob of picking 1 h and 1 g?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1036 and -1?\nAnswer: -1036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.6, -55, -3\/4?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + l = -2*l - 18, 0 = -3*l - 15 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - f = 0. Suppose -5*l - 2*m - m + 33 = f, l + 4*m + 7 = 0. Let d(q) = 2*q - 7. Is d(l) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 19*y**2 - 11*y - 24. Is a(17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 4*b - 525. Suppose 35 + b = -5*p. Let l = p + 61. What is the remainder when l is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12677266715 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 - 0.2. Let l = -0.5 - -0.7. Let w = 4.8 + l. Sort f, w, 0 in ascending order.\nAnswer: 0, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -230*t**3 - 2*t**2 + 252*t + 498. Calculate g(-2).\nAnswer: 1826","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.76 + -0.7715. Let r = -210.9885 + n. Let a = 208.22 + r. What is a rounded to one decimal place?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 11238 + 1123. Let i = g - -3494. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z**3 - 2*z**3 + 4*z**3)*(-4 + 4 + 2*z) + (-4 + 4 - 4*z)*(-160*z**3 + 54*z**3 - 240*z**3) to b*z**4 + f*z**3 + k + l*z**2 + a*z and give b.\nAnswer: 1388","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.58 + 0.68. Let x = r - -3. Which is the second smallest value? (a) -3 (b) x (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of j**6\/90 + j**5\/60 + 178*j + 17. Let k(a) be the first derivative of f(a). Factor k(z).\nAnswer: z**3*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36536742083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b = -14*b + 16. Let z = b + 45. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/(x\/x**(-3\/11)))\/x**6)**(2\/51))**(-9\/5) assuming x is positive.\nAnswer: x**(348\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d. Let y(l) = -13*l + 2. Let w(f) = 26*f - 5. Let g(v) = -4*w(v) - 10*y(v). What is g(j(c))?\nAnswer: -52*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80 (base 9) to base 8.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z. Let l(w) = w**2 + 4*w - 1. Let s be l(-6). Let p = -2 + s. What is the units digit of v(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-2))\/((-84)\/(-56)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12 + -14?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 2*i + 20. Suppose 0 = i*l + l. Solve -3*x - 2*x = 0, l = -4*v + 5*x for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 314.58 and 0.2.\nAnswer: 314.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/(-5)*1\/2. Let z be m\/12 + 9\/270. Let w = -2.1 + 2. Which is the second smallest value? (a) w (b) z (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + r + 0*r)*(-1 + 6 + 1) + (3*r - 2*r + 0*r)*(-3 + 2 + 0) + 3 + 2*r - 3*r - r + 120*r + 129 - 129.\nAnswer: 129*r + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62511 = -29*k - 61699. What is the remainder when k is divided by (-92)\/(-16) - 1\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**3 - 26*i**2 - 46*i + 17. What is the lowest common multiple of q(-11) and 429?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 73 - -1063?\nAnswer: 10d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + n - 1. Let d be -4*(2\/8 + -1). Let x(t) = -2*t**2 + 12*t + 37. Let b(k) = d*a(k) + x(k). What is the lowest common multiple of 20 and b(-14)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-30))\/((10\/(250\/(-15)))\/(-9))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 5 - 3)*(0 + 0 - d) - 4*d + 4*d - d - d - 1 + 1)*(12 - 16 + 10).\nAnswer: -18*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 102940451891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 10*d**3 - 5*d. Let l(x) = -2*x**3 + x. What is -2*i(n) - 11*l(n)?\nAnswer: 2*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 21754 = 21316?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/6121280 and 101\/548020.\nAnswer: 324427840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190*z + 177*z = -90 - 222. Calculate the highest common factor of z and 2028.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 233 + 499. Let p = 369 + o. Solve -z = -p*l - 14, 0 = z + 3*z + 4*l + 24 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {t: 4, a: 8, f: 4, q: 4}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -520*s - 36238 = -38318 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 3 (c) 0 (d) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) -2\/3 (c) -11 (d) 3 (e) 140 (f) 8 (g) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 3*a. Suppose -3*o - 4*t - 16 = a, -2*t - 20 = -3*o + 3*t. Solve o*n = -3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 6*l**2 - 2625291*l + 2625291*l. Let v(g) = 621*g. Calculate v(z(y)).\nAnswer: 3726*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 8 = 4*g. Let x be ((-1)\/g + 2)*2. Let k be 3 + 2\/(-3 + x). Solve -k*i + 5*z + 14 = -12, z - 2 = -i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -251, -250, -257, -278, -319, -386, -485?\nAnswer: -622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*z - 16*z - 474. Let l = 184 + z. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c + 2 + 4*c**4 - 2*c - 2 wrt c?\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 565138705 to the power of 1\/2, to the nearest integer?\nAnswer: 23773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 5*i - 77, i - 31 = -4*a - 8. Solve 13 = -l + 3*l + 3*s, 5*s = 4*l - i for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -88 + 221. What is the highest common factor of o and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1214127 (base 13) in base 16?\nAnswer: -558e22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 26 = -326. Let v = -18 - n. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.15 and 0.4.\nAnswer: -1.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, b: 1, l: 4, e: 2}. Give prob of sequence bec.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(50)\/sqrt(2))\/sqrt(5))**2.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*t**2 + 11 + 6*t**2 - 15*t**2 - 3 + 0 as n*t**2 + b*t + r and give n.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15643 to the power of 1\/2, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 14*s**2 - 13*s - 25. Let x be f(15). Let m be ((-120)\/16)\/x + 10\/4. Let p = 20 - 27. Put -1, m, p in decreasing order.\nAnswer: m, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160682042.\nAnswer: 2, 5021, 16001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 32285070 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 3*s - s. Let w = s - -8. Does 17 divide -2 - -2 - 1 - w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 5*f + 2. Let z be o(6). Let l(q) = -q**2 + 9*q - 8. Let m be l(z). Let 1\/4*c**4 - 1\/4*c**3 + m*c + 0 + 0*c**2 = 0. Calculate c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -65*k**3 + 78*k**2. Let q(x) = -7*x**3 - x**2 + 16*x**3 - 7*x**3 - x**3. Calculate -d(r) - 78*q(r).\nAnswer: -13*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 567*w + 639*w + 31584 = -3390 for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -889655771 - -11.\nAnswer: -889655760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.03, 10, -0.4?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/2*(-15)\/(-30).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 51\/36 - 12\/16. Let b(g) be the first derivative of -g + 0*g**2 + 4 - w*g**3. Differentiate b(d) wrt d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 67.891817 to 1 dp.\nAnswer: 67.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -5*k + 33, -7 = -5*h + 3*k - 2. Suppose 4*r = -0*r + m + 80, 40 = 2*r + 5*m. Let u = h + r. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260623 (base 10) in base 7?\nAnswer: 2133556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*c**5 + 37*c**4 + 87*c**2 wrt c.\nAnswer: -180*c**2 + 888*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a**2 - 19*a - 20. Let g(y) = -5*y**2 - 29*y - 30. Let q(z) = -5*g(z) + 8*s(z). Calculate q(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/2 = -3\/79811951?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 >= 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -1\/2*a**2 - 5\/12*a**4 + 4*a + 2\/3*a**3 + 1\/20*a**5 + 0. Determine x(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 4*p + p)*(-6 + 0 + 5 - 2 + 2 + 2 + (3 - 4 + 3)*(6 - 3 - 2))*(713 - 89 + 5110).\nAnswer: -34404*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 489*k**3*p**2 + 44*k**3 - 593*k**2 + p**2 wrt p?\nAnswer: 978*k**3*p + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tqtrqtvrqqhqqtqqr. What is prob of sequence rq?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/3*93\/155*2\/(-9).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23*h**3 - 62248*h**2 + 2*h + 370443989 wrt h.\nAnswer: 69*h**2 - 124496*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*l**2*n*z - 7*l**2*n + 6*l**2*z + 4*l**2 - 3*l*n + 4*l*z - 3*n*z + 6*z wrt n?\nAnswer: -4*l**2*z - 7*l**2 - 3*l - 3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.47928417 rounded to four decimal places?\nAnswer: -1.4793","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-842)\/(-20) - (-9)\/(-90). Suppose -2*v - 42 + x = 0. Suppose 5*l + 8*h = 10*h + 15, v = -l + 4*h + 3. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(2\/7 - (-36)\/(-28)). Suppose 5*w + 3*g - g - 40 = b, -g + 24 = 3*w. Is 4 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4409509 and 1803514.\nAnswer: 8273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2596 + -1b2a9?\nAnswer: -18a13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*g + 6 - 6)*(6*g**2 - 8*g**4 + 14*g**2 - 20*g**2).\nAnswer: 72*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.94 + -0.06. Let u = -0.36 + 0.02. Let t = -0.04 - u. Sort p, 1, t in descending order.\nAnswer: 1, t, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 211034 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56383?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3433 = -6103*x + 6199*x + 23 for x.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 2:48 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 351, 1, -7 in descending order.\nAnswer: 351, 4, 1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 10. Calculate the smallest common multiple of 30 and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 7*c. Let w(b) = -b**3 - 5*b. Let q be ((-6)\/12)\/((-1)\/10). Give q*a(m) - 7*w(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 152365247527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 7*s - 18. Calculate the lowest common multiple of s and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 43, -1.91, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -77.64 - -77.84. Let c = -0.24 + 4.04. Let g = c + 1.2. Sort p, g, 14, 2\/15 in increasing order.\nAnswer: 2\/15, p, g, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/3)*l)\/(l\/(l\/((l**(1\/6)\/l)\/l))*l))**27*(l**(-7)*l*l**(-1\/7))\/((l*l**(-2))\/l*l**(5\/3)) assuming l is positive.\nAnswer: l**(2213\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)*6*3)\/(sqrt(500) + ((sqrt(500) + sqrt(500)*2)*3 + sqrt(500) + sqrt(500) - sqrt(500)) - sqrt(500)).\nAnswer: 27*sqrt(7)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/2 and 79\/26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 0*o + o**2 - 13 - 9*o + 0*o. Let i be -5*32\/(-40) - 13. Is z(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-48)\/10*-1)\/((-2)\/(-40)). Suppose 0 = -3*x - x + 48. Calculate the greatest common divisor of x and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/5 and 3\/(-4) - (-468)\/80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14278 divided by 118\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/(-14) + (-12)\/42*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 717013?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 855337175 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5 + 12*t + 3*t + 303 + 155 - 55. What is j(-27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 10 - 4 + 115*j in the form r + k*j and give k.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -177300898, -177300897, -177300896, -177300895, -177300894?\nAnswer: -177300893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from anzzzzzzzznazazzzaza.\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 501 is divided by 135.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*a**2 + 11*a**2 - 4*a**2 + 23*a**2 to the form i*a**2 + p*a + k and give i.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -53*v + 80. Let r(d) = -70*d + 80. What is -3*k(w) + 2*r(w)?\nAnswer: 19*w - 80","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4149\/945 - (-2)\/14 and -25\/8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18 + 3 + -2 + -2. Suppose d - 5 = 2*w. Suppose -40 = -w*f + 10*f. Is -9 <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**3\/7 - 13130904*c**2\/7 + 91916500*c\/7 - 78785592\/7 = 0. Calculate c.\nAnswer: -3282733, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 167429082 * 4\nAnswer: 669716328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2391954 is divided by 597978.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 3*i + 21 = 0, 0*a - 4*i - 13 = -a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p + 6. Let a(x) = -4*x - 5. Let u(k) = -k + 2. Suppose -6*t - 3*h - 1 = -t, 8 = 4*t - 2*h. Let o(s) = t*a(s) - 3*u(s). Give 5*j(c) + 3*o(c).\nAnswer: 2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*i + 886 = 2166. What is the least common multiple of i and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 445131022 - 12?\nAnswer: 445131010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/13 + (-580)\/52. Let g = -7 - w. Put g, 0, -4 in increasing order.\nAnswer: -4, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*o**3 - 2*o**2 + 7*o + 3.\nAnswer: -(o - 1)*(2*o + 1)*(4*o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -162, -359, -558, -753, -938, -1107, -1254, -1373?\nAnswer: -1458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -735 and 3?\nAnswer: -2205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9141 = -1150*v - 42341 - 1418 for v.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -32*d**3 - 35*d**2 - 8*d - 8. Let z(c) = -11*c**3 - 12*c**2 - 3*c - 3. Let g(x) = -3*y(x) + 8*z(x). Find the third derivative of g(l) wrt l.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(15\/(-106)))\/8. Let f = p - -9\/4. Let w = 27 + -32. Does f = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 38\/9 in 4\/5, 1, 73?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 2*x + 161. Determine p(-12).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from rzrmzzrxzr.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 19 = -5*f - 3*b, 2*b = -12. Calculate the greatest common divisor of f and 280.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((-2 - 11) + 7 + 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(204))\/sqrt(12) + sqrt(833) + -2.\nAnswer: -2 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0136 minus -0.015?\nAnswer: 0.0286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 10 = 4*f, -220*a + 216*a + 4*f = -16 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + (-26)\/((-26)\/(-11)). Let r(a) = a + 39. Calculate r(m).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33253 - 33314 - (0 - 11)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6480 and 10320?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.6 (b) -6\/11 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5 = 0, 2*c + 154 = -3*t + 7*t. Calculate the remainder when 112 is divided by t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 314447721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5200807?\nAnswer: 43, 79, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 116512687 a multiple of 1094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*n - 1980 = 7*n - 13656 for n.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.981 - -0.019. Let z = 3\/8 - 1\/8. Let r = 2\/1273 - 2556\/6365. Which is the nearest to z? (a) r (b) -1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19984 - -19984.02. Let n = -2.3 - -2. Which is the third smallest value? (a) n (b) p (c) 0.3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/6)\/((-2)\/9). Let z = t - -13. Suppose -8 = -2*c, 0*u - 5*c = 3*u - 128. What is the remainder when u is divided by z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5\/3 + -61\/6. Find the common denominator of -37\/16 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -3*v, 6*b = b - 5*v + 5 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8\/15 - -91\/30. What is the biggest value in o, -1\/4, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(68)*-2*2 - (sqrt(68) - -1*sqrt(68)*2)))\/(3*(sqrt(28) + sqrt(4032)*-1)\/sqrt(7)).\nAnswer: -28*sqrt(17)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 41*b**3 - 5820*b**2 - 278*b - 792. What is u(142)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6615\/17 - -389. What is the third biggest value in 11, -2, -0.5, y?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 42042333 + 4013?\nAnswer: 42101401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1961 is divided by 932?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 664 - -6787. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 + 0 - 1\/4*f**3 + 21\/4*f.\nAnswer: -f*(f - 7)*(f + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2201972?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 6*v**2 + 3*v + 8. What is the lowest common multiple of 4 and s(-7)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 87.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 + 46 - (-2 + -2 - -4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-24) + (-493)\/(-6). Suppose -2*a + 4*b = -r, -5*b + 7 = -13. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -37 + 724 - 1197 - 8*s as y + k*s and give y.\nAnswer: -510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 5, 3297, -0.22, 4, 2\/5?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of w**3 - 2*w**2 + 3*w - 1. Let i be 3*6\/45*5. What is x(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8277629697834 and -6?\nAnswer: 8277629697840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*o - 300 = -143*o - 262*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h**2 + h**2 - 2*h**3 + h**2)*(-3 + h**2 + 3).\nAnswer: -2*h**5 - 3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 925 + -913. Solve 2*o - s = -o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7*(-10)\/735)\/(1\/(-3)). Which is the nearest to 2\/3? (a) -2.8 (b) m (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -32*d**2. Let o(q) = 261 + 260 - 521 - 2*q. Calculate o(g(p)).\nAnswer: 64*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 164, 1352, 3574, 6830, 11120, 16444?\n\"Answer: 517*r**2 - 363*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.041 times 7593\nAnswer: 311.313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*w - 2*w. Suppose 35 = y + a - w*a, -y + 50 = 4*a. Solve 5*o - 3*j = -y - 2, 5*o - 4*j = -45 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 636529253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.16 + -44.1779168.\nAnswer: -44.0179168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8976 is divided by 598.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 22220021102 (base 3) in base 15?\nAnswer: 36d75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -53, -47, -39, -29, -17, -3, 13?\n\"Answer: j**2 + 3*j - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-174)\/(-2) - (1 + 0) is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30712948891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/9? (a) 1\/4 (b) -0.3 (c) 1\/6 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - (sqrt(171) + (sqrt(171) + 5*(sqrt(171) - 1*sqrt(171)) - sqrt(171))))\/(sqrt(441)*4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-128 - -129) + (1 - 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 7*z**2 + 9*z + 12. What is the common denominator of t(-8) and 10\/17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 723 + -721. Let y be (-12)\/(-5) - 4\/10. Solve -y*j + w = -j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 5:18 AM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -99 + 31. Let y = 124 + c. Does 19 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -11*g - 17. Let z be k(-1). Let w be (-2*(-6)\/15)\/z. What is the closest to 0 in 5\/3, w, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - -12 - (20 - -1)) + 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -208 + 229. Calculate the remainder when 6\/(-9) + (-370)\/(-6) is divided by g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2717*j = 191842 - 39690 for j.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/(2*sqrt(2)))\/(sqrt(300) + sqrt(300)*1).\nAnswer: sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 212109, 212110, 212111, 212112?\nAnswer: 212113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10836 a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-21)\/(-12) - (-2)\/8. What is the first derivative of -25 + 2*v**i - 7 + 45 wrt v?\nAnswer: 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of 31*p**6\/2 - p**4 - 109*p**2\/2 + 4*p - 1298. What is the second derivative of b(d) wrt d?\nAnswer: 1860*d**3 - 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/(-2) - 3)\/(1\/(-54)). Suppose 3*l - i = 27. Solve -5*w + 7 + l = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 17, 18, 31, 62, 117, 202?\nAnswer: 323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*m**4*w + 2*m**4 + 405*m**3*w + 724*m**3 + 7*m**2*w - 877630*m**2 wrt m?\nAnswer: 120*m*w + 48*m + 2430*w + 4344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 6*s - 286. What is a(50)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30772534 + 71*u + 6*u**2 - 71*u + 30772534.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6365 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 + 1 - (6 + -4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 20.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 147\/(-196) + ((-18180)\/(-16))\/3. Solve -l = -15*r - 303 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3384 by 846.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6051900 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.017 and -0.2.\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -98539, 10, -3, -2 in increasing order.\nAnswer: -98539, -3, -2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2411734 is divided by 62.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -116, -230, -334, -422, -488, -526?\nAnswer: -530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -7 (c) 921\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*((-231)\/(-6))\/7. Let a = n - -23\/2. Let 1\/2*b + 0 + 0*b**2 - a*b**3 = 0. What is b?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -0.02 (b) 2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = b + 2*b - 595, f = -b + 197. What are the prime factors of b?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*r**3*t**3 - 11*r**3 + 483*r**2*t - 8*r*t + 69586*t**4 wrt t.\nAnswer: 12*r**3*t + 835032*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -d**5\/20 + 7*d**4\/12 - 5*d**3\/2 + 9*d**2\/2 - 33*d - 50. Let m(a) be the first derivative of t(a). What is y in m(y) = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 248 - 25. Let o = x - 50. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5393 = -y, 5*a - 1707*y - 6739 = -1705*y. Calculate the remainder when a is divided by 54.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u**2 - 5*u - 2. Let f(l) = -l**2 - 2*l - 1. Let b = 62 - 72. What is b*f(v) + 4*a(v)?\nAnswer: -2*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + f - 1 = 0, -2*f + 2 = 3*v - 2*v. Suppose -s + 3*c = -51, -c = -v*c - 1. Suppose -s = 2*t - 342. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**3 - 2*c**3 - 2*c**3)*(-1 + 7*c + 3 + 8*c).\nAnswer: -45*c**4 - 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 228 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + -113. Let v = 830\/9 + l. What is the closest to v in -3, 2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-25)\/2*(-10)\/(-5). Let n = b - -20. Let x = 8 + n. Calculate the greatest common factor of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6231995709?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, -122, -356, -684, -1106?\nAnswer: -1622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 greater than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 11:52 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4\/3, 0.5 in descending order.\nAnswer: 4\/3, 0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 47\/9 + 1 - (-20)\/(-90). Let r(c) = 2*c - 9. Give r(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-30))\/((-2)\/(-10)). Suppose -3*u = -4*t + 10, 0 = -5*u - 5*t - v - 4. Let g(f) = -f - 2. Determine g(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*t - 18*t = -4*s + 28, 6*s + 2*s = -t - 4*s + 9*s + 17 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2931, 5800, 8669, 11538?\nAnswer: 14407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 38, 57, 76, 95, 114?\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u - 3 + 3. Let m(i) = 2*i**2 - 28*i - 24. Let y be m(15). Determine o(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54.26 + -55. Let l = 0.8 + v. Let y = l - 0.060062. Round y to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 6*t**2 - 2*t + 4. Let d be u(5). Suppose 68 + d = 3*l - 3*v, 0 = -4*l - v + 141. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of 13*y**2\/2 - y + 2416. Let d(v) = 12*v - 1. What is -6*d(a) + 5*q(a)?\nAnswer: -7*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -26, -11, 16, 61, 130, 229, 364, 541?\n\"Answer: r**3 + 8*r - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*g - 3105 + 3765 = 0 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 344323 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 9 (c) 5189\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -40*w + 14*w + 25*w - 3. Give y(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 8, x: 3, s: 2, c: 3}. What is prob of picking 2 x?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 1\/3 (b) 4\/3 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -4, -2, -12.\nAnswer: -12, -4, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 613, 2345, 5233, 9277?\n\"Answer: 578*w**2 - 2*w + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0610329933 to 3 dps.\nAnswer: 0.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -735 divided by 5.\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 9*t - 220. Suppose 87 = 4*j - p, 4*j - 2*p = t + 35. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4b7 + -3?\nAnswer: -4ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n - 18. Let y(r) = 3*r - 35. Determine 11*u(a) - 6*y(a).\nAnswer: -7*a + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104, -199, -304, -425, -568, -739, -944?\nAnswer: -1189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 0*k = 6. Suppose -c - k + 5 = 0. Suppose 6944 = 3*x - 2*o - c*o, -6976 = -3*x - 4*o. Round x to the nearest one hundred.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(2\/51)*q)**14*q*q\/q**(5\/4)*q**24 assuming q is positive.\nAnswer: q**(10873\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 9:41 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -5 - (-4 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8130 = -281*q + 10*q for q.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/5*(-124)\/24 and -65\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 184*q + 5. Let g(y) = 369*y + 8. Calculate 3*g(k) - 5*w(k).\nAnswer: 187*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 c when two letters picked without replacement from {q: 1, d: 1, t: 1, l: 2, g: 1, c: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 2:43 AM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -177090, -2, 305 in descending order.\nAnswer: 305, -2, -177090","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -898, -3652, -8242, -14668?\nAnswer: -22930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 392\/17 + 222\/(-3774) and 460?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*b + 144 - 11 = -6*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 276660 divided by 116?\nAnswer: 2385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -62 and 366885.\nAnswer: -22746870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a hour in minutes?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 5553748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 31*a + 160. Give c(-25).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 62811.5 meters in micrometers?\nAnswer: 62811500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -4, -3\/5, 3, -5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -68 - -141. Let w = b - 531\/8. What is the common denominator of w and 2 - ((-15)\/20 + (-137)\/(-16))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 90496?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 22*x + 123. Let d be z(-5). Let l be 4\/(2\/(-1)) + 6. Solve -2*t = 3*a - 1 + d, a - t = -l for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15481 is divided by 5156?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyj when four letters picked without replacement from {v: 1, l: 2, s: 3, j: 1, k: 1, y: 4}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13175 and 791197.\nAnswer: 613177675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1158061748.\nAnswer: 2, 289515437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of 5*x**4\/12 + 32*x**2 + 3*x. Let b(z) = 277*z**2. Give b(i(w)).\nAnswer: 27700*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9088778 and 850.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 37790 = -22304. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 9:47 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 0.3 (c) 155674\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2053 - -2568. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 248495395 take away 36?\nAnswer: 248495359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3422 + 524?\nAnswer: 4350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -1894917 and -1894958 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 0*a + 5*a)*(8 + 43 - 29)*(-3*a + a + 4*a).\nAnswer: 44*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 22513 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-88)\/48)\/11)\/(2\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l - 4*i = -32, 49805*l + 14 = 49802*l + 4*i for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 2\/103, -26, -2\/9, -3, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 3*u**2 - u + 3. What is a(5)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-8))\/(1\/(-4))*1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 1 = 0, l + l + 5*i = 509. Let o = 624 - l. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f + 49*a - 50*a = 16, -f + 4*a - 28 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 18*d + 1. Let c be k(1). Let l = 26 + c. Suppose 0 = 3*b - 4*u - 51 + 6, u - l = -3*b. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2325822*r**4 + 2*r + 5685988?\nAnswer: -27909864*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) - (sqrt(288) - (3 + 0 + sqrt(288)))) + sqrt(288) + sqrt(288) + 3 + sqrt(98)*-1)**2.\nAnswer: 348*sqrt(2) + 1718","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**3*x**(-1\/8)*(x**6\/x)\/(((x\/(x\/(x*(x*x**3)\/x)*x))\/x*x)\/x*x))**(-3\/13) assuming x is positive.\nAnswer: x**(-141\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of 0 + 4*i + 1\/6*i**3 + 0*i**2. Let n(k) = -31*k. Determine d(n(b)).\nAnswer: -31*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 1.9. Let z be (-6)\/10*-3*(-28)\/63. Which is the nearest to -1? (a) -13 (b) z (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12463936 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -72944 - 41*y**2 + 72944 + 372*y + 39*y**2. Let m(o) = -4*o**2. Determine h(m(d)).\nAnswer: -32*d**4 - 1488*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by (-6)\/72*-333 + (-2)\/(-8)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -65 + 68. Let w = 2 + n. What is the second derivative of -3*j**4 - 6*j**4 + 3*j**4 + 20*j + w*j wrt j?\nAnswer: -72*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 43*y**3 - 292*y**2 + 4*y - 444. Give f(7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-1*4\/8). Let z = 0 + -3. Put -4, z, p in increasing order.\nAnswer: -4, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243812968 to the power of 1\/3, to the nearest integer?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -4, 0, -692\/5, 285, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13285549 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 326 divide 9658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 82*f**3*n**3 + 22411*f**3*n + 10183*n**3 + 63*n wrt f.\nAnswer: 246*f**2*n**3 + 67233*f**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t**3 - 9*t**2 - 58*t + 38. Let p(z) = -4*z**3 - 13*z**2 - 87*z + 53. Calculate 7*l(c) - 5*p(c).\nAnswer: -c**3 + 2*c**2 + 29*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n + 3. Let r(t) = 1. Let x = 36 + -35. Let q(o) = x*i(o) + 4*r(o). Let v be q(-8). What is the highest common factor of v and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2402, -20181, -68388, -162221, -316878, -547557?\nAnswer: -869456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-4)*(2 + 352\/(-24))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is aa21 - -4?\nAnswer: aa25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(234) - -2*sqrt(234))*6)\/(((1*sqrt(200) - sqrt(200)) + sqrt(200))*1 + sqrt(200) + sqrt(200)) + 1)**2.\nAnswer: 18*sqrt(13)\/5 + 1078\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((4 + sqrt(125) - (1*sqrt(10))\/sqrt(2)) + -5 + -1*-1*sqrt(605) + sqrt(605) + (sqrt(605) - -2*sqrt(605)*2)))**2.\nAnswer: -5832*sqrt(5) + 1181016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-29)\/(((f*f**46)\/f)\/f*f*f)*(f**(-5\/14)\/f*f)\/(f*f\/(f**(-1\/3)*f)) assuming f is positive.\nAnswer: f**(-3263\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 917 times 1?\nAnswer: 917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2. Let g(q) be the second derivative of -5\/2*q**2 + 0 - 1\/2*q**3 + 3*q. Let m(i) = 4*i + 6. Let p(j) = -6*g(j) - 5*m(j). Give p(x(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -46 + 47. Which is smaller: -3 or f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12724821559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1411 less than 10.3777?\nAnswer: 1421.3777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1744 is divided by 46?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11408*s - 5706*s + 359*s**2 - 5702*s.\nAnswer: 359*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 5:58 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express d + 151 - 11*d**2 - 151 in the form y*d + f + i*d**2 and give i.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 4*w + 2. Suppose 5*u + 0*u = 2*k - 19, 0 = 3*u - 9. Suppose 2*g + j + 3 = k, g = 3*j - 7. What is p(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 23*d - 36. What is m(13)?\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10495?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) - (4 + (sqrt(176) + -1 + sqrt(176))**2)) + sqrt(176) + ((1 + sqrt(176) - sqrt(176))*2)**2.\nAnswer: -705 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**11*l*l**(1\/2)\/l*l**(-3\/5)*l*l\/(l*l*l\/l**(-1\/8)))**(-3\/5) assuming l is positive.\nAnswer: l**(1347\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-315)\/(-135) + 1178\/(-513)?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 - 16*n - 22*n + 39*n - 2*n**2)*(3 - 2 - 2).\nAnswer: 2*n**2 - n + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - m - m - 12 = 0, -4*m + 12 = 0. Let t = 2 - b. Sort -0.1, t, 4 in decreasing order.\nAnswer: 4, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (52\/(-96))\/((-4103)\/(-492360))\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p**2 + 27*p - 10. Let k be v(-8). Which is the nearest to k? (a) -2\/5 (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/24)\/(3\/4). Let o(q) = -3*q**3 - q**2 + 2*q - 1. Let k be o(1). Let h(t) = 2*t + 2. Let s be h(k). What is the second biggest value in w, s, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1))**(-45)\/(n**(-1\/4)*n)**(-4\/31) assuming n is positive.\nAnswer: n**(1398\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(10\/(-75))\/((-1)\/50*1).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 6 - 0. Let b(f) = f - 1. Let o(t) = 4*t - 3. Let i(r) = n*b(r) - o(r). Give i(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4725 and 3591.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/((l\/(l*l*l*l**(-3)*l))\/l))\/l)\/l**(3\/7)*l**2\/l**(-1\/6) assuming l is positive.\nAnswer: l**(157\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 12*j**3 + 14*j**2 - 8*j + 95. Solve z(o) = 0 for o.\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1849 and 5504?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/220 and -1\/8?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -10, 3*c - o + 5*o = 29. Solve 9\/4*a**2 + 27\/4 - 27\/4*a - 1\/4*a**c = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 114087626 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 27\/2*u**2 + 0 + 30*u + 3\/2*u**3 = 0. Calculate u.\nAnswer: -5, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 4) to base 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 7*a - 1. Let o be l(-8). Let c be (-4)\/8*-8 - o. List the prime factors of 53 + (-2 - -7) + c.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-1 - -8) - 13 - (-11 + 1 + 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**3 + 12 + 10*j**2 - 12 - 10*j - 16*j wrt j.\nAnswer: 6*j + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -38*a**2 + 272*a - 10. Determine p(7).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 36291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4*t = t + 49, t = -2*b + 7. Suppose 0 = 4*d + 2*k + 8 - 2, -3*d + 2*k + b = 0. Solve 2*m - 6 = -d*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) - (-4 + 0 + sqrt(2736)))**2 + (sqrt(2736) + 1)*2 + 2.\nAnswer: 20 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 5:23 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.04 (b) 3 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -54222 divided by -34817\nAnswer: 54222\/34817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -17\/5 (b) -1\/23 (c) -2.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**4\/4 - 93*q**3\/4 + 105*q**2\/2 + 93*q - 198 = 0. Calculate q.\nAnswer: -33, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-20)\/(-5) - 17.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76*(-2)\/(-66) - (-31)\/(-31) and 40\/21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133175 (base 8) in base 3?\nAnswer: 2101002021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 7816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - -17) + 16 + -29 - 3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 1:26 PM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -3*d**2 - 600*d - 18837 = 0.\nAnswer: -161, -39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 10:19 PM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -639.691 to zero dps.\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46405.867 - 46518. What is s rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 43*a + 1334. Give t(-34).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 31*m**2 + 131*m. Calculate q(26).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 623918 and 1884.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -2*m - 4, 2*m - 6*m + 46 = 5*v. Let i = -570 - -573. Suppose -5*d = -2*r + 26, -d = i*r - v*d - 29. Solve 4*k - r*p + 0*p - 1 = 0, 5*p = 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 21*k**5 + 3*k**2 - 112*k - 4. Let m(n) = 41*n**5 + 7*n**2 - 224*n - 9. Let i(d) = 5*a(d) - 2*m(d). What is the second derivative of i(f) wrt f?\nAnswer: 460*f**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1101084 + 0.113826.\nAnswer: 1101084.113826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*c - 33 = 9. Let a(y) = -9*y - 3. Let w be a(-1). Suppose -3*n = -o - 8, -o + 4*n = 6 + w. Put -5, o, -47, c in decreasing order.\nAnswer: o, c, -5, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 17\/(476\/24) + 1\/7. Solve q - 6 = 5*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -454119.65 to the nearest one hundred.\nAnswer: -454100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2056*r - 26742. Determine d(13).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -6. Put r, 4, 6, 5 in ascending order.\nAnswer: r, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2 - 6 - 1 + 3. Let x(r) = -r**2 - r + 5. Let z(d) = -3*k(d) - x(d). Determine z(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -727\/3285003?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*v**2 + 3 - 3.\nAnswer: 88*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-1325))\/(1\/(-10)))\/(290\/504600*-232)\nAnswer: 6\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28270*i**3 + 14137*i**3 + 14110*i**3.\nAnswer: -23*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2)\/((-58)\/116).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 503*w - 505*w - 41 = 3*n, w + 5*n + 73 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 134587 divided by -4\nAnswer: -134587\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 946.87 + -946. Let h = 91 - 91.47. Let t = h + f. Which is the smallest value? (a) 0.3 (b) t (c) -1\/3 (d) 0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1107 bigger than 1101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 - 92*o + 88.\nAnswer: 4*(o - 22)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139815981 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*1*sqrt(405) - sqrt(55)\/(1*sqrt(1331)) - ((2 + sqrt(1125))**2 + sqrt(540)\/(sqrt(12) + sqrt(24)\/sqrt(2))).\nAnswer: -1129 - 1949*sqrt(5)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1768)\/32 - 1\/(-4). Let m be (1 - -1)\/((-22)\/i). Solve -4*h - m*s - 25 = 0, 4*h = -4*s + 7 - 27 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 18*t**2 + 18*t - 17. What is y(-19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.099 + -0.099. Which is the nearest to 0? (a) g (b) -0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103458\/(-3208) + 12\/(-16).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 divided by 23.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2017 is divided by 658.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r**2 - 4*r**2 + 5*r**2)*(-7*r - 14*r - 3*r).\nAnswer: -168*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -701436 divided by 175359.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 26 = -2*l, -2*l - 2*l - c + 16 = 0. Suppose -2*n + 4*n - 8 = 0. Find the second derivative of 3*b**n - 4*b + l*b + 0 + 0 wrt b.\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -1988*o**2. Let z(s) = -1593*s**2 - 1591*s**2 + 4783*s**2 - 1600*s**2. Calculate z(n(a)).\nAnswer: -3952144*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121000112 (base 3) to base 15.\nAnswer: 36d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**3 + 3*t**2 + 18*t + 13. Let q(l) = 7*l**3 + 8*l**2 + 63*l + 38. Let d(c) = -10*b(c) + 3*q(c). Determine d(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-2 - -3) + 7 - 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.421 + -0.121. Let d = z + -9.2. Let s be 0 + ((-12)\/(-10))\/(-3). Which is the smallest value? (a) -4 (b) d (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 163, 153, 127, 79, 3, -107, -257?\n\"Answer: -w**3 - 2*w**2 + 3*w + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -406 + -1167. Let x = d - -2859. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1752128 is divided by 1504?\nAnswer: 1472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, -57, -25, -4 in increasing order.\nAnswer: -57, -48, -25, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -58 (b) 14 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/128*282*5*4\/(-30)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/2*(-50)\/575*4\/(-18)?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -163992023\/3 or -54664007?\nAnswer: -163992023\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12 and -6021.5.\nAnswer: -6033.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 56b?\nAnswer: -567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 5*x - 242. Let y(k) = 2*k**2 - 12*k + 485. Let w(h) = -11*p(h) - 6*y(h). What is the derivative of w(j) wrt j?\nAnswer: -2*j + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.01 (b) 0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**2 + 7*h + 17. Let i(g) = g**2 - 3*g - 8. Let m(j) = 4*d(j) + 9*i(j). What is the lowest common multiple of m(-5) and 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -1957648.\nAnswer: -5\/1957648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5 = -3*z - z, 0 = 4*p + 5*z + 5. Let u(v) = -v**3 + 6*v**2 - 4*v - 1. Give u(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -299*c**2 - 255*c**2 + 682*c**2.\nAnswer: 128*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/7*g**4 + 0*g**2 + 0*g + 0 - 2\/7*g**5 - 8\/7*g**3.\nAnswer: -2*g**3*(g - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 less than -1.15428475791?\nAnswer: -2.05428475791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2389 - -2449. What is the highest common factor of y and 828?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-36))\/(40\/((-30960)\/301))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**3 - 10*d**2 + 2*d - 6. Give x(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.65 + -2.2. Let p = t - 7.15. Is p at least as big as -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49\/3 or -1390?\nAnswer: -1390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and 709155.\nAnswer: 709154.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 4, 0, 2\/3 in descending order.\nAnswer: 4, 2\/3, 0, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 4*j + 10, 72*j - 75*j + 4*d + 5 = 0. What is the third biggest value in -2\/3, j, -578?\nAnswer: -578","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 2:23 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*2\/(-2) - (-90)\/225?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6792303 - -380385009\/56. Let o = z - 2048\/7. Is -7 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 57 + ((-12 - -26) + -9 - 5).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 29*r**2 - 20*r - 551. Calculate the remainder when 1013 is divided by q(-29).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*g - 2*k, 0 = -5*g - k + 1 + 1. Let s = g - -4. Let o be (-72)\/5*(0 - s). Round o to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-5) - 24\/20. Let t = 11 + m. Calculate the common denominator of 1\/9 and 2\/18*t\/(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) 2 (c) 1\/3 (d) 4 (e) 45.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o + 3*o + 6*o)*(-4*o - o + 6*o) - 2 + 2 - 2*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-16)\/648 - ((-287584)\/19737)\/(-76)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46 - 22. What is the greatest common divisor of 3 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4761250 and 1066520.\nAnswer: 133315000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-2) + 1\/2. Suppose -6 = -m*n - 0. Sort -5, n, 7 in ascending order.\nAnswer: -5, n, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-27 - -18)\/(1 + -51) and -29\/40.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*b + 109. List the prime factors of b - 9\/(-3) - 0.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 5*o - 12, -3*o + 4*v - 5 + 21 = 0. Suppose -5*b + 10 + 0 = 0. Suppose 2 = -c + b*c. Solve o = c*n - n, -3*i - 9 = n for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) -24.2 (c) -42 (d) 0.3 (e) 4 (f) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -121, -1921, 5 in descending order.\nAnswer: 5, -121, -1921","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 43115 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2 + 210501970*w + 2215553968694045.\nAnswer: 5*(w + 21050197)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 2. Let d(y) = -4 - 2*y + 2 + 3*y + q. List the prime factors of d(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 5. Let k(g) = -2*g**3 - 14. Calculate -14*b(w) - 5*k(w).\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 32*c + 4071. Let s(i) = -14*i - 2036. Determine -9*s(p) - 4*w(p).\nAnswer: -2*p + 2040","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20.7 - -20.64.\nAnswer: 41.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 69 - 25. Let y = 81 - v. Let l = y + -37.5. Which is the biggest value? (a) l (b) -5\/6 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 3*w - 4*q - 15, -2*w + q = -10. Suppose -w*g + 3976 = -3*m, -5*g - 10 = -5*m - 3980. Suppose -30 = 13*a - g. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 z when two letters picked without replacement from {v: 1, i: 1, x: 1, m: 2, n: 1, z: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -53*j**2 - 4. Let r(w) = w**2 - 2. What is -2*r(p) + t(p)?\nAnswer: -55*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 4:58 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 4:14 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5940\/(-1155)*1)\/(((-2)\/(-8))\/(21\/(-8))).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.11 * -4.\nAnswer: 4.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*f - 8*f = 4*n, 2*n = 4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10102111212102 (base 3) to base 14.\nAnswer: 355877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 - 2 - 141*m + 28.\nAnswer: -141*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 42589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o - 10 = -11*o. Let g be (-11)\/((6\/20)\/(-3)). What is the greatest common factor of o and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 8:31 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 45*j**2 - 210*j - 42. Give l(-5).\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4, -10, -48, -122, -244, -426, -680?\n\"Answer: -2*h**3 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 6. Let g(n) = -2*n - 2. Let o be g(v). Find the second derivative of o*y**3 + 4 + 2*y - 4 wrt y.\nAnswer: 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 88, -0.2, -5 in decreasing order.\nAnswer: 88, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 34506260 a multiple of 441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 3*i = -225. Let t be (i\/(-3))\/(10\/(-30)). Calculate the greatest common divisor of t and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -407*k - 88. Let y(n) = 14*n + 3. What is 3*i(o) + 88*y(o)?\nAnswer: 11*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -6*q + 2. Let o be b(-1). Suppose -o*j + 60 = -3*j. Calculate the remainder when j is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 352 and 512?\nAnswer: 5632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 9547*s - 18232*s - 14669*s - 1)*(1 - 2 + 2) in the form g*s + t and give g.\nAnswer: -23354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000050666997 to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 203291562*q**3 - 12423194*q?\nAnswer: 1219749372*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1343 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 22408996 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, p: 1, o: 1, h: 3, k: 8}. Give prob of picking 1 n and 1 o.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5302900303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 204 and 204?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4*s - 12 = 0. Suppose s*m = 7*m - 135. Let w be (m\/6)\/((-9)\/12). Calculate the greatest common factor of w and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 5 - 1 - 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c - 6. Let t be g(-4). Let x(w) = -5*w**t - 1 + 9*w + w**3 + 8 - 2*w**3. Give x(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -2421?\nAnswer: 2424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 3*v - 6, -17 = -4*z - 2*v + 7*v. What is the remainder when z is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -3*n + 3 - 22, 2*b = 5*n + 33 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2062.000014528 - 2062. What is u rounded to 7 dps?\nAnswer: 0.0000145","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 619059807 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w**2 + 17 - 2*w**2 - 59*w + 52*w. Let q be x(4). Suppose 0 = -5*m - q*r + 140, -6*m = -m - r - 116. Calculate the least common multiple of 9 and m.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 211 divided by -4.\nAnswer: -211\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 3\/710 (b) 3\/2 (c) 0.5 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 45 - 43. Solve -t = l + 5*m, -5 = -5*l - 0*m - 2*m for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t - 11. Suppose -2*j + 3*j + 9 = 0. Let r be z(j). Let d be (r - (-224)\/108)*6. Sort d, 5, 4\/3 in descending order.\nAnswer: 5, 4\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 + -4 + 8)*(-17)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -339055.0039 - -339121. Let b = -66 + k. What is b rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 155.56 * 17995.\nAnswer: 2799302.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 415 minutes after 8:48 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -50945.\nAnswer: -4\/50945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000009916 rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 1 - 3*y**3 - 43*y**2 + 3 to n + j*y + d*y**3 + z*y**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02825251 rounded to three decimal places?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h. Let j be (1\/1)\/(8\/16). Let r be (j\/4)\/(3\/18). Let y(i) = 3*i**2 + 4*i**2 - r*i**2. Determine y(n(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -12*(47 + (-6 - -9)). Let b be n\/(-102) + (-8)\/(-68). Solve b = 12*y - 14*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*5*-1*(sqrt(315) + (sqrt(315) - (sqrt(315) + -3*sqrt(315))))\/((sqrt(400)\/sqrt(8))\/sqrt(10)))**2.\nAnswer: 630000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 992\/(-93) + 11160\/135.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 82 = -19. Is 634 + (-13 + 3 - u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44442 (base 8) to base 6\nAnswer: -222402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 33, 79, 135, 201, 277?\n\"Answer: 5*f**2 + 31*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*q - 30 = 14, -4*m + 4*q + 64 = 0. Suppose 215 = 5*v + u, -v + 24 = -0*u + 4*u. What is the remainder when v is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 2 = 3*v + n, 2*v + 5*n + 11 = 0. Suppose -f = v*r - 2*f - 7, -3*f + 3 = 0. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (159\/5830)\/((-72)\/30*1)\nAnswer: -1\/88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 2\/35 (c) -0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2609, -3\/4, -3.7, -2, -4, 4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205*g + 218*g**3 + 205*g.\nAnswer: 218*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*b - 4*b - 8901 = 0. Suppose b = 11*o - 735. Does 17 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -424?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 299932\/(-4442200) - (-15)\/190.\nAnswer: 2\/175","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i. Let m(y) = 29*y - 9. What is f(m(c))?\nAnswer: 29*c - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-28)\/(-48))\/(-7) + (-391)\/6324)\/(21\/28).\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -6*f. Let m(v) be the first derivative of -v**3\/3 + 20. What is m(u(p))?\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 47 * -0.061.\nAnswer: -2.867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -166*v - 1692*v - 120*v - 251*v to the form r + j*v and give j.\nAnswer: -2229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -13*h - 28. Let x(g) = 3*g + 7. Suppose 0 = -y - 4*y - 4*t - 57, 0 = -4*y + 2*t - 30. Determine y*x(w) - 2*z(w).\nAnswer: -w - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 2 - 1)*(-6 + 4*r + 6) - 2*r - r - 2*r)*(-2*r**2 + 0*r**2 + 5*r**2) to the form w*r**3 + n*r**2 + f*r + i and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -673.9 - -648. Round p to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15837665.5*-9\nAnswer: 142538989.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 423*d + 5. What is the hundreds digit of c(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 5:02 AM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ub when two letters picked without replacement from {b: 2, h: 1, u: 2, a: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (50 - 1058)\/36 + 28. Let j(g) = -g**3 + g**2 + 7*g - 1. Let z(d) = -5 + 9*d + d**2 - 3*d - d**3 + 3. Let q(o) = 6*j(o) - 7*z(o). Determine q(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71 divided by -21.\nAnswer: 71\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 11*n + 2. Let z = 7 + -17. What are the prime factors of q(z)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, -3, 4, -115\/57?\nAnswer: -115\/57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**3 + 2*m**3 + 2*m**3)*(628 - 304 - 245) - 4*m + m**3 + 4*m.\nAnswer: 159*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*w = -0*w - 86, -82 = 4*x + 2*w. Let s(m) = m - 51. Let y be s(0). Let u = x - y. What is the remainder when u is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(2200) - (-2*sqrt(2200) - sqrt(2200))*-2))\/(-2*sqrt(396)*2 - (sqrt(396) + -6*(sqrt(396) - sqrt(396)*2 - sqrt(396)) - sqrt(396))).\nAnswer: 25*sqrt(2)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**3\/10 + 1224593*s**2\/10 - 74981278323*s\/2 - 374907616209\/10 = 0. Calculate s.\nAnswer: -1, 612297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/150*-5*(-2 + (-21)\/(-6)). Let w be (-1)\/(-10)*16\/12. Which is the nearest to -1\/2? (a) o (b) w (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 2.6. Let x = -26.5 - -22. Let g = x + -0.5. What is the closest to 0 in 1, g, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -10*s**2 - 7*s - 7. Let d(p) = -7*p**2 - 5*p - 5. Let x(c) = 7*d(c) - 5*l(c). Let j(m) be the first derivative of -5*m**2 - 2. Calculate j(x(t)).\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 360761528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j**2 - 3*j - 2. Let w be r(-2). Let m = -3 - w. Let k be 12\/m + (-2)\/1. Is k at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 2 = 3694*p - 3695*p - m, 0 = p + 12*m + 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -6 - (16\/6)\/(16\/(-24)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47197, 94598, 141999?\nAnswer: 189400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 204338?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5*s**2 + 27*s + 12. Let l be h(-5). Let g be ((-1)\/l)\/(19\/(-570)). Sort -5, -3, g, 1 in decreasing order.\nAnswer: g, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 80 = -5*f, 4*f - 5*o = -0*f + 64. Solve 5*k + f - 2 = -4*w, 3 = -w - k for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1229 + 3273. Is 23 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 92, 165, 256, 371, 516?\nAnswer: 697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 30*q**2 - 75*q + 1673. List the prime factors of f(28).\nAnswer: 7, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1189878 by -6.\nAnswer: -198313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 12 = -2*j. Let y(d) be the second derivative of -d**5\/60 + d**3\/6 - d**2\/2 + 2*d. Let f(r) be the first derivative of y(r). Give f(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1690 by -10.\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = 4*b + 32. Does 8 divide ((-1)\/1)\/(1\/b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 40*s**4 - 5*s**2 - 11*s - 1154. Let h(l) = l**4 - l**2 - 3*l. Let j(u) = 5*h(u) - n(u). Differentiate j(a) wrt a.\nAnswer: -140*a**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 m when four letters picked without replacement from xmmmmxmmmmmxmmmmmm?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**3 - x**3 + x**3)*(2 - 2 + x) + (4*x - 1 + 1)*(9*x**3 - 8*x**3 + 6*x**3).\nAnswer: 30*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -16*i. Let y(k) = -3*k**2 - 5*k - 5. Let b(l) = l**2 + 2*l + 2. Let m(j) = 5*b(j) + 2*y(j). Give v(m(c)).\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 1 = 2*a, 0*h + h + 5*a + 4 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14284*v**2 + 33716*v**2 + 20177*v**2 to the form b*v**2 + c*v + k and give b.\nAnswer: 39609","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-35)\/(-6) + 12\/72. Solve -25 = 5*m - 4*s, 5*s - 1 = -m - o for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (-14 + (-28 - -31 - -25))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2449114 divided by 214\nAnswer: 1224557\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**5 - 14*j**4 + 358*j**3 + 126*j**2 - 3060*j = 0.\nAnswer: -17, -3, 0, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 27660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 465749 is divided by 143?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 - 58 = h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20320 - 7431. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, x: 2, y: 1, b: 8, d: 3, p: 1}. Give prob of picking 1 p, 1 b, and 1 d.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 201, 461, 733, 1017, 1313, 1621?\nAnswer: 1941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.3 + 1.1. Let k = j + 11. Which is smaller: k or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-62 - 15)\/7?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 33*q**3 + 2*q**2 + 2*q + 1. Let n(t) = -67*t**3 - 5*t**2 - 5*t - 5. Give 2*n(w) + 5*v(w).\nAnswer: 31*w**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 31 = -9*s + 2*k, 3 = s - 2*k. Let j = 11 - s. What is the nearest to 1\/3 in 0.4, 1\/4, j?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by (-157)\/(-6) - 3\/18.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.03 + 0. What is the second biggest value in 0, g, 2\/9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 380*y**2 - 7*y + 5. What is the hundreds digit of u(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from {p: 7, u: 3, v: 2, l: 3}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -141907\/16 + 8874. Find the common denominator of u and 73\/30.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*r = 1256, 16*r = -q + 19*r + 1268. Solve 7*l + q = 1227 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -50448 and -68967?\nAnswer: 18519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 199443.3 years to millennia.\nAnswer: 199.4433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -42646, -85314, -128004, -170716, -213450, -256206, -298984?\n\"Answer: -11*p**2 - 42635*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 4*t + 35 + 128, 2*t = -10. Let h = 260 - q. Calculate the highest common factor of h and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 8:50 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**2 + 2*s + s - 3*s.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 4*h - 6*h + 2*x - 24, 3*h - 69 = -6*x for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1897, -1905, -1913?\nAnswer: -1921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -36, -48, -58, -66?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-160)\/120*(-3)\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 6*n. Let q be l(-7). Let a = q - 11. Let g be a\/3 - (6 - 6). Which is bigger: -2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) - (sqrt(60)\/sqrt(4)*-2 - sqrt(15)))\/(sqrt(225)\/sqrt(5)).\nAnswer: 4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3716403*c*q**3 + 13*c*q**2 + 31*c*q + 2*q**3 - 2*q**2 - 3*q + 18 wrt q.\nAnswer: 22298418*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 9*h - 9. Let c(t) = -35*t + 35. Let u(x) = 2*c(x) + 9*z(x). What is the derivative of u(f) wrt f?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of o**4\/4 - 7*o**3\/3 - 3*o**2\/2 - 5*o - 471. What is v(8)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d + 12. Determine k(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k - 12. Let z be o(8). Let h(g) = -g**3 - 4*g**2 - g. Let x be h(z). Let p(c) = -4 + 2*c**2 + x. Let s(n) = -4*n. Determine s(p(f)).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 340387477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 9) in base 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -103593, -103309, -103025, -102741?\n\"Answer: 284*l - 103877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199258 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-51)\/102 + 18284\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 + 0)*(2*q**3 + 2*q**2 - 2*q**2 - 2).\nAnswer: 8*q**3 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 79 = -6*c - 3*l, 3*c - 106 = -2*l. Let g = -17 + -9. Let q(f) = -f - 2. What is the lowest common multiple of c and q(g)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 5*r - 85, -3*n = -5*r - 9 + 64. Let d = n - -26. What is the smallest common multiple of 10 and d?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -1851?\nAnswer: 1854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = y - 5*b, -3*y - 113 = 3*b - 149. Let q(k) = -k**2 + 19*k - 87. Determine q(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 953, 952, 951, 950, 949?\nAnswer: 948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -433 = -y + 2*l, -l = -y + 347 + 83. Let f = -161 + y. Let c = f - 66. Round c to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.04 (b) -0.5 (c) -1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from ueuueddeeuu.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 0.1704775\nAnswer: 0.08523875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00725906217 to seven decimal places.\nAnswer: -0.0072591","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 93 and 810192.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/10 and 3\/3723209.\nAnswer: 37232090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52 - 35. Let v be r + -13 + (1 - -32). What is the highest common divisor of 74 and v?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -17*j + 2. Let b(q) = 18*q - 2. What is -4*b(w) - 5*u(w)?\nAnswer: 13*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*w - 125*w**2 + 139*w**2 - 44*w to q*w**2 + n + g*w and give g.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2351*a**2 + 2. Let t(b) = 9410*b**2 + 9. Determine -9*s(w) + 2*t(w).\nAnswer: -2339*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3 + 2 + 4 - 2 - u**2 - 2*u**3. Let d be b(-1). Solve 6*s - 15 = d*s - 3*c, 2*s = -c + 5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 24 = 3*j. Let y = 20 + j. Let u(s) = 10*s - 21. Is u(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 20. What is the least common multiple of q and -1*((-5 - -2) + -2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1896436079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 788486 or 789505?\nAnswer: 788486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**2 - 24*g + 1. Let x be h(-12). Let w be (-3)\/(-12) + x\/(-4). Is ((-388)\/8 + w)*-2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q + 1. Let x = -44 - -43. Let s(f) = 2*f**3 - 2*f**2 - 4*f + 6. Determine x*s(i) + 4*z(i).\nAnswer: -2*i**3 + 2*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ocnnxpncoo. Give prob of sequence pnn.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -56*g**2 + 28*g**2 - g + 27*g**2.\nAnswer: -g*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**3 - 11*t**2 + 4*t + 1. Let y be l(3). Let b = 36 + y. Solve -b*g - 4 = -0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25723 and 114423?\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**3 + 17*i**2 + 7*i - 112. Calculate q(9).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 6056 = 5*g + 6042, -m - 2*g + 3 = 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1661, -6648, -14939, -26516, -41361, -59456?\nAnswer: -80783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 19*s**2 + 20*s + 18. Let y = -9 + -4. Let n be (y - -12)\/((-1)\/(-17)). What are the prime factors of h(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x**(-8)\/x)*x\/(x\/x**7)*x**8*x**(-7)\/x)\/((x\/(x\/x**9))\/(x**7\/x))**(2\/37) assuming x is positive.\nAnswer: x**(660\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.1595 - 3.2385. Let k = 0.4 - -0.1. What is the third biggest value in l, 5, k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 2*g**5\/35 - 363*g**4\/14 + 3120*g**3 + 4732*g**2 + 2499. Factor l(o).\nAnswer: 2*o*(o - 182)**2*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c**2 - 3*c**4 - 2 + c**4 + 6*c**4 + 1 in the form z*c + m*c**3 + x*c**4 + d + h*c**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -500*f. Let x(o) = 23*o + 21*o + 6*o - 49*o. Calculate j(x(q)).\nAnswer: -500*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65 + 5 + 11*o**2 + 66 + 51 + 37 - 51.\nAnswer: 11*o**2 + 173","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12202121 + 11101?\nAnswer: 12220222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 + 53. Is 15 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -39849 and -39665 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w**2 - w**2 - 3*w**2)*(38*w**3 - 3*w**3 - 17*w**3).\nAnswer: 36*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 80 = 3*s + 209, 2*f = s - 98. Let j = f - -62. Calculate the highest common factor of j and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*4\/(-224))\/((-4)\/(-16))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*f**3 + 20*f**2 - 20*f**2)*(0 + 2*f**2 + 0).\nAnswer: -34*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-282*q + 482*q - 387*q)*(2 + 1 + 1 - 4 + 0 - 1 + (2 - 3 - 1)*(-2 - 2 + 5)).\nAnswer: 561*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 10:40 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36474 is divided by 570.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 1 + 63 = 2*a, -278*a - 428 = -2*u - 146 + 878 for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -2 - (71 + -68)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 + 45. Let u = 113 - 111. Let h be ((-2 + u)\/2)\/(2 + -1). Solve 0 = -h*r + 5*r - 5, c*k + 5*r = -10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 10*x**2 + 15*x + 20. Let q(z) = 22*z**2 + 30*z + 40. Let n(v) = 7*k(v) - 3*q(v). Calculate the remainder when 215 is divided by n(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1490772?\nAnswer: 2, 3, 124231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 4*m + 8. Let o = 14 - 18. Let q be u(o). Which is the third biggest value? (a) -3 (b) 0.3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3826 (base 15) in base 2?\nAnswer: 10111010111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/3, 3\/8, 2\/13, -1\/1187?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 11*s = 3*t - 27, s - 18 = -2*t. Solve t*a + 4 = -5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 5*z**5 + 3240*z**4 - 83420*z**3 + 474110*z**2 - 240105*z - 800870 = 0.\nAnswer: -673, -1, 2, 7, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) 1105 (b) 1\/2 (c) -3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*k - 1313, 3*o + 3*k + 354 = 2322. What is the greatest common factor of o and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -148*y**5 + 62625*y**4 + 123986*y + 352 wrt y.\nAnswer: -2960*y**3 + 751500*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s. Let u(v) = 234*v**2. Let w(x) = -13*x**2. Suppose -4*o - 460 = -5*n + o, 5*o - 86 = -n. Let d(g) = n*w(g) + 5*u(g). Give d(h(r)).\nAnswer: -13*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55103, 55124, 55145, 55166, 55187, 55208?\nAnswer: 55229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 5\/38?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38190 and 6834.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7*(-4)\/84)\/(1\/(-21)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 5*j**2 - 2*j + 3. Let d(o) = 28*o**2 - 2*o - 3. Let x be d(-1). Suppose -8*f - f = -x. Determine w(f).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - s. Let v(r) = -r + 1. Let p(b) = -12*b**2 - 9*b - 6. Let x(t) = -p(t) - 6*v(t). Suppose -f - 100 = -101. Determine f*x(y) + 15*n(y).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1988331 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-24)\/(-5))\/3)\/((-76)\/190)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(3) + -3 + -1 + sqrt(3)) + -1 + 1.\nAnswer: -4 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30580.\nAnswer: 2, 5, 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 + 27. Suppose 4*h = 3*a - v*a + 873, 0 = h - a - 222. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(18)\/(2*sqrt(3)))\/sqrt(3) + -5*sqrt(50)*-4)*-5)**2.\nAnswer: 1010025\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 756 and 98.\nAnswer: 5292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1935 + p - p**3 + 1935 - p**2)*(-81 + 2*p + 81) to the form d*p**3 + j + f*p**4 + l*p + s*p**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -d (base 15) in base 3?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/5, -0.01, -2\/15, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25 and 45?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-154)\/396)\/(14\/(-24))*(-12)\/34?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -2*k + 7*s - 3*s, -k = 4*s - 47. Calculate the greatest common divisor of 1 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7646567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of s**2\/2 + 8*s + 3. List the prime factors of q(6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42946763?\nAnswer: 109, 394007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -0.1 (b) 2 (c) -1 (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 5*c + 29. Let r(d) = -2*d - 9. Give 4*p(a) + 11*r(a).\nAnswer: -2*a + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + (7 - 1) + -86 + 33 + 71.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 130, 295, 526?\nAnswer: 823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.283 - -0.583. Let u = 3 + -6. Let b = 5 + u. Sort b, i, -0.4.\nAnswer: -0.4, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 585.9502 + -586. Let p = 0.041 + l. Round p to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2 - 242*n - 6264. Give d(-85).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 2*a + v, -4*a + 3*v + 153 = -0*v. Let c be (-2)\/7 - 360\/14. Let n = c + a. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -33*s**3 + 17*s**2 - 35*s - 7416. Let v(u) = -4*u**3 + 2*u**2 - 4*u - 927. Calculate 2*b(i) - 17*v(i).\nAnswer: 2*i**3 - 2*i + 927","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/14 and 113\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 5. Let i = 36 - 32. Let c(v) = i*v - 3*v - 4*v + p*v + 4. Give c(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-132))\/(-25 - (-4 - -4)). Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 204? (a) 0.13 (b) 0.27 (c) 3.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2 - 94*a**2 + 7*a**3 + 234*a**2 - 83*a**2 + 3*a**5 - 32*a**3 wrt a?\nAnswer: 180*a**2 - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010245 rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 114629281?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*q - 6*q + 11*q + 96*q**2 to t*q + r*q**2 + n and give r.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10065*-0.5\nAnswer: -5032.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 24*v - 106. Suppose -403 - 337 = -148*w. Determine q(w).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -826325 and 2.\nAnswer: -826323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 3*r - 3*j + 1, 2*r + 13 = -j for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -8.083 greater than or equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-6) - 436\/(-24). Suppose -2*j + 88 = 2*j. Suppose 2*o = 2 + j. What is the greatest common factor of z and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/2490 and 28\/9545.\nAnswer: 57270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d - 1. Let j(o) = 2 + 5*o - o**3 - 3*o**2 + 9*o - 10*o. Let c be j(-4). Let a(x) = -2*x**2 + 3*x**c + 7*x - 6 - 13*x + 1. Calculate a(s) - 5*z(s).\nAnswer: s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1534 (base 8) to base 7\nAnswer: 2336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280244.\nAnswer: 2, 70061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 319 + -318. Let y be l*3 + (9 - (0 + 8)). Solve n = 5*p + 23, -16 = y*p - n - n for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103307470 to the power of 1\/2, to the nearest integer?\nAnswer: 10164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 743*c*g**4 + 2*c*g**2 + c*m**2 + 3*g**3*m**2 - 6*g*m + 2*g + 36*m**2 wrt g?\nAnswer: 8916*c*g**2 + 4*c + 18*g*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 1441 = -347. Which is bigger: u or -546?\nAnswer: -546","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -342223 (base 5) to base 6\nAnswer: -132232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000539 to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllloolllllllllllllo. What is prob of picking 1 l and 3 o?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + x + 12 = 0. Let n(w) = -w**3 - 6*w**2 - 6*w - 1. Let q(z) = -z**2 - z. Let t(g) = x*q(g) + 2*n(g). Factor t(m).\nAnswer: -2*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r = 15*r - 30. Suppose -g + 6*g + 2*k - r = 0, 0 = -2*g - 5*k + 33. Let h be (8\/6)\/4 - 1. What is the second biggest value in 14, g, h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = k - 3*k + 97, -3*k = 3*a - 60. Suppose -1058 = 9*z + 499. Let l = z - -230. Calculate the greatest common factor of a and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83233 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*b - 6400 = -6893 + 15857 for b.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2392 - -2389. Which is the fourth biggest value? (a) -33 (b) f (c) -2 (d) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwwa when four letters picked without replacement from wwwaawwwwwww.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - (-91)\/(-21))\/(1\/(-24)). Solve -5*b - 5 = -w - n*b, -w = -2*b + 10 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/3, -3, 2349755\/3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.2 (b) 257 (c) -1\/4 (d) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*j**5\/2 + 847*j**4\/2 + 3317*j**3\/2 - 3223*j**2\/2 - 819*j + 324 = 0 for j.\nAnswer: -9, -4\/7, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(3) - (2*sqrt(15))\/sqrt(5)).\nAnswer: -sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 11:48 PM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 2. Suppose -j*o + 19 = 7. What is the remainder when 28 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f*x**4 - 57*f*x**2 + 3*f*x - 11*f + 6*x**2 wrt x.\nAnswer: -24*f*x**2 - 114*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.88601 + 1.2182. Round a to two dps.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*(m\/m**(3\/5))\/m)*m**(-1\/7))**28\/(((m\/((m**2\/m)\/m))\/m*m\/(m*m*m**6))\/(m\/m**1*m)**(7\/5)) assuming m is positive.\nAnswer: m**(106\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-2)\/(-2) - 3) + 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18117 and 243.\nAnswer: 163053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14859, -14858, -14857, -14856?\n\"Answer: v - 14860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 7:30 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.1, -21360, -6\/11, -2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/9 (b) -0.34 (c) 0 (d) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((23 - 6) + 0 - 16) + -17.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of 0*u + 7\/15*u**4 + 1\/75*u**5 + 98\/15*u**3 + 0 + 9*u**2. Factor o(i).\nAnswer: 4*(i + 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*x**3 + 926*x**3 + 188*x**3.\nAnswer: 1148*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5455 divided by -8\nAnswer: -5455\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/2 - (-2)\/(-4). Let h = 8 + -1. Suppose -c - 3*b + h = 0, 6*c - 13 = c - x*b. Sort c, 4, 0 in decreasing order.\nAnswer: 4, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1057852, -2115703, -3173554, -4231405, -5289256?\n\"Answer: -1057851*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (30\/20)\/((-3)\/(-4)). Let a = 41 - 24. Suppose 3*d = a - 5. Solve -4*i + 1 + 17 = -5*p, -3*p = d*i - z for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10.842 - 0.158. What is the closest to -0.2 in a, 1\/2, 1\/5, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 20.0013?\nAnswer: 60.0039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -447, -446, -445, -444, -443?\n\"Answer: g - 448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 1\/3 (c) -928\/67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 0*t - 2*q = -868, q = t - 211. What is the remainder when t is divided by 26?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -v - 3*d, -4*d - 14 + 58 = 5*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -2*z + 42, -4*z = -o + 15. Solve -15*s - n = -11*s - 20, -o*n - 5 = -s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**7*b**(-6\/11)*(b*b**(-11))\/b**(-8) assuming b is positive.\nAnswer: b**(49\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3 - 1. What is the closest to 0 in -2\/13, 5, n?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 528*u - 533*u - u**2 + 0*u**2 + 6. Let n be o(-6). Factor n + 2\/7*p**5 - 2\/7*p**3 + 0*p + 0*p**4 + 0*p**2.\nAnswer: 2*p**3*(p - 1)*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.109555 to 3 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t - 4*t - 3*t - 3*t - t + 2*t + 2 - t - 2 + (-1 + 3 - 4)*(3*t - 3*t + t) - 93 - 4566*t - 4557*t + 9119*t.\nAnswer: -11*t - 93","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 22 = 5*r, 4 + 4 = -2*r + i for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 49*v**2 + 591*v + 40. Calculate the least common multiple of 88 and k(-12).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 15. Let f = -41 - -35. Let y = 2 - f. Is h less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -3*r + 23360, 0 = -3*r + 3*f + 27623 - 4259. Let n = r + 37400. Let p = n - -28816. Round p to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n + 5. Let r be o(-5). Let l = 46247 - 46242. Calculate the greatest common divisor of l and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 t when three letters picked without replacement from {r: 1, b: 2, s: 1, t: 2, d: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -11*n + 99. What is k(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -444 = -4*o - 3*g, 5*o - 5*g = 333 + 187. Let d = -111 + o. Sort 3, -2, d in increasing order.\nAnswer: d, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 172.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - (-3 + -1)) + 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -762, -1, 2, -2, 0 in descending order.\nAnswer: 2, 0, -1, -2, -5, -762","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 155 - 763\/5. Put d, 5, 1\/3 in descending order.\nAnswer: 5, d, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 4*j + 16. Let c be s(-3). Let i(p) = 1. Let u(q) = -5*q**2. Give c*i(b) + u(b).\nAnswer: -5*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -j**4\/3 - 4*j**3\/3 + 19*j**2. Differentiate w(m) with respect to m.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 764 + 782 = 199*y - 2832 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1709659l to millilitres.\nAnswer: 170.9659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30.946 + 0.054. Let s = -33 + y. Put 0, 1, s in ascending order.\nAnswer: s, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56520, 113047, 169576, 226107?\nAnswer: 282640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*f + 62 - 14 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-114)\/(-133))\/(-10 + 13). What is the nearest to -1 in -90, h, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1647600037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddvd when four letters picked without replacement from {v: 17, d: 3}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**2\/2 + 32723*h\/2 + 1809966 = 0.\nAnswer: -32612, -111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*a + 924 = 241*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*p - 8*p - 48*p + 5*s + 291, 0 = -3*s - 9 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 361 - 358. Find the third derivative of -867*s**c - 847*s**3 - 34*s**2 + 1868*s**3 wrt s.\nAnswer: 924","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*v + 355*v. Which is the fourth smallest value? (a) -7 (b) 1\/2 (c) 23 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, h: 4, d: 2}. What is prob of picking 1 d and 2 u?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/11*f**2 + 1002\/11*f.\nAnswer: 2*f*(f + 501)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -781*n - 7710. Give r(-10).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0*5\/(-95) - -136349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1*(-18 + 5))\/(-1). Find the second derivative of -7*i**5 - 35*i - 10*i**5 - x*i + 3*i wrt i.\nAnswer: -340*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2016 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: List the prime factors of 13427.\nAnswer: 29, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 1\/51, 2\/17 in descending order.\nAnswer: 2\/17, 1\/51, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4288979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -178.835 - -129.59. Let o = 0.355 - q. Round o to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-255)\/(-30) - 3\/2) + (1 - 12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 0, 276, -16, -14 in ascending order.\nAnswer: -16, -14, 0, 3, 4, 276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -2. Let q(d) = 4*d**3. Let t be q(-1). Let u = t + 8. Sort -3, c, u.\nAnswer: -3, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - 1. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26538348803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.9164 millilitres to litres.\nAnswer: 0.0959164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 times -1.58?\nAnswer: -60.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = x + 63. Let s = x - -36. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 392 - 792. Round u to the nearest 10.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-180)\/(-108)*(-1)\/5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6179887 is divided by 1970.\nAnswer: 1967","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2280 and 4845?\nAnswer: 38760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -2*o - 8, 3*o - o = 2*u - 2. Let x be ((-5)\/o)\/(1\/2). Let m = -341.8 - -345.8. Which is the second biggest value? (a) m (b) 2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 760636 or 760635?\nAnswer: 760635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 979696901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 228022848 to the nearest integer?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 0.5 (b) 311 (c) 0.1 (d) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**2 - y + 4*y - 7*y.\nAnswer: -3*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 96.562 to 0 dps.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 + 2)*(-2*b + 4*b - 3*b) - 20*b - 278 - 278 + 546 to g*b + d and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30*p**6 + 102174*p**5 - 18577187*p**2?\nAnswer: 3600*p**3 + 6130440*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -38a89 (base 16) to base 14\nAnswer: -60809","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 730.09105 rounded to the nearest integer?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37427.68 + 36728. What is f rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/16)\/((12\/8)\/(-3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 799, 798, 797, 796?\nAnswer: 795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 21 = 2*d, -5*y - 21 - 3 = -3*d. Suppose -w - 10 = -d*w. Suppose w*c - m = 85, -c + 2*m = 2*c - 58. Is 8 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 1:57 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 + (-56)\/(-2) - 3 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 48\/11, -0.4, 2, 9\/2?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7475567?\nAnswer: 11, 679597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216807.\nAnswer: 3, 72269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 1057?\nAnswer: 38052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-9) - 1\/(45\/35)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + 1. Let c(h) = -39*h**3 + 4*h**2 + 6*h. Let t be c(-2). Suppose -w*u + t = -2*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255945422.\nAnswer: 2, 59, 2169029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.58985 centuries in years?\nAnswer: 2358.985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -71181 (base 9) to base 8.\nAnswer: -133332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59 - -59. Let k = -0.006 + 4.006. Which is the third biggest value? (a) -5 (b) -2\/17 (c) n (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (15 + 1)\/(-8)*(-113)\/2. Let t(r) = 33 - 10 - n*r - 9 - 14. Let b(l) = -2*l**2. Determine t(b(v)).\nAnswer: 226*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*(r\/((r*r**21)\/r*r*r))\/r*r*r)**(-37)\/((r**33\/r)\/r*r*r*(r\/((r**(5\/8)*r*r)\/r))\/r) assuming r is positive.\nAnswer: r**(5373\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krrkrrrrkrkrrrrk. What is prob of sequence kr?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.67000863 + 3.67. What is f rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r**3 + 3*r**2 - 7*r - 1. Let i(n) = -2*n**3 + 2*n**2 - 6*n - 1. Let p(l) = -3*b(l) + 4*i(l). Suppose 0 = 2*t + 10 - 16. Give p(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 3*u = 6*u + 112, 5*u = t - 18. Solve 0 = -4*j + 2*f + f - t, 0 = -3*f + 3 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 1 + 1840 + -1834?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -8*a + 19*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 71.701?\nAnswer: 286.804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(15)\/(sqrt(10)\/sqrt(2)))**2.\nAnswer: 10*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1519.7 - 1520. Which is the nearest to 0.2? (a) 0.1 (b) n (c) 126 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/33 + (-13044)\/(-11). Let n = j - 21337\/18. What is the common denominator of 16\/80*(-6)\/(-24)*-30*11 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 5*n + d, 5*n = -11*d + 8*d + 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 10:52 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8435417ml to litres.\nAnswer: 0.0008435417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w - 4. Let v(k) = 7*k**2 - 109*k + 4. Let z be v(21). Let f = 799 - z. Give p(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 422374.2 litres in millilitres?\nAnswer: 422374200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19233821 is divided by 65.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0383 in -0.5, 28, -0.9, -3\/7, 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jji when three letters picked without replacement from iijjii?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2189111 and -8.\nAnswer: 2189103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of 227*v**3\/3 + 16*v**2 - v - 80. Is o(1) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**1\/k)**(-6\/17)\/(((k*k\/k**(2\/19))\/k)\/(k*k**(-3))))\/(k**(-2\/3)*k*(k**(2\/11)*k*k*k)\/k*k*k**(-3\/4)\/((k**(-6)*k)\/k)) assuming k is positive.\nAnswer: k**(-29243\/2508)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of 0*q**3 - 1\/10*q**5 + 0 - q**2 - q + 0*q**4. Differentiate v(g) with respect to g.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1059*c + 1067*c = 448. Calculate the remainder when c is divided by ((-2)\/(-4))\/(2\/116).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1703176846 plus -92004?\nAnswer: 1703084842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 9*n - 4. Suppose -38*g - 48*g + 37*g + 294 = 0. What is s(g)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 1384758\nAnswer: -6923790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 3*k - 115 = 2*c, -3*k = 2*c - 65. Suppose 0 = 2*t - 0*t - 148. Calculate the remainder when t is divided by c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 6*u**2 - 5*u - 3. Suppose 0 = -4*i + 2*i - 8. Let w be g(i). Let b = w - 40. Does 10 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1855*l + 2 - 12 - 9709*l + 10 to o + u*l and give u.\nAnswer: -7854","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 - -34. What is the least common multiple of g and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -744 + 2453. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 224649 (b) 5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 6. Suppose 26 = -o*z + 8. Is (-2)\/z + (-4017)\/(-27) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 13*r - 2. Let w(j) = 684*j**2 + 133. Let f(o) = 513*o**2 + 98. Let z(k) = 19*f(k) - 14*w(k). Determine z(p(g)).\nAnswer: 28899*g**2 - 8892*g + 684","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35.8 + -35.68. Let l = 115.2 - 115. What is the nearest to l in r, 0, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 8 - ((-8 - 0) + (-6 - -17))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/2 of a decade?\nAnswer: 1740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2370\/36*666\/740)\/(3\/(-4))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + -2 + 1 + (sqrt(125) - -2*sqrt(125))**2 + ((-5*sqrt(175)\/sqrt(7))\/sqrt(5))**2)*3.\nAnswer: 3*sqrt(5) + 3747","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114771, 229493, 344215, 458937?\nAnswer: 573659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 5*a**3 + 12*a**2 + 6*a + 14. Let j(d) = -4*d**3 - 11*d**2 - 4*d - 12. Let v(x) = -5*f(x) - 6*j(x). Give v(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 + 0)*(0 - 3*u + 0) + (2 + 2 - 6)*(0*u - u - u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + sqrt(3) + sqrt(12)\/sqrt(4) + 4)*-6.\nAnswer: -18*sqrt(3) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -7*u**2 + 690*u - 30. Is 21 a factor of b(73)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 34 - 10\/((-130)\/(-143)). Solve -20*d + 15 = -z*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -124044041 (base 5) to base 14\nAnswer: -11d268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/30)\/((-1034)\/(-1034))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14 + 559\/143 - (-2)\/22. Let j(b) = b - 10. Calculate j(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 5, -3 in ascending order.\nAnswer: -6, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68730 is divided by 866.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.3 - -1.6. Sort 2, d, -3\/7, -2\/5 in decreasing order.\nAnswer: 2, d, -2\/5, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-2))\/(9\/(-36))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 18270*10.4\nAnswer: 190008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3*i - i + 64 = 0, 103 = -5*g + 3*i. Let l = 42 + g. What are the prime factors of l?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 41785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 0, 3, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 17*h**2 - 41*h - 1068. Calculate o(-18).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/935 and 2\/3983485.\nAnswer: 67719245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -535*v - 76*v + 131*v - 13920 = 0 for v.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u + 1. Let o(v) = 8*v**2 + 4*v + 7. Let h(x) = -o(x) + 3*s(x). Let a be h(-4). Let r be a\/(-13) + 14\/91. Solve j + r = -j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + -1 - -6*(sqrt(19) - sqrt(304) - sqrt(19)))**2.\nAnswer: 36*sqrt(19) + 6157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.166 + 1.1. Let x = -0.03 + f. Let i = -0.065 - x. Round i to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 + 67 = -3*y - 5*i, -5*y = -5*i - 5 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 12*c - 2. Let h be r(9). Suppose 4*d = -d + h. Suppose 0*v - v = -3. Sort 4, d, v in ascending order.\nAnswer: v, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(2268)*1 - (sqrt(28) + -4 + (sqrt(84)\/sqrt(3) - sqrt(28)))) + 1)**2.\nAnswer: -5451 - 480*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - 843) + -3 + 2. Let o = -9307\/11 - d. What is n in o*n**4 + 0*n + 8\/11*n**3 + 4\/11*n**5 + 0 + 2\/11*n**2 = 0?\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*q - q. Let f be 3*(-3)\/(-2) + 12\/(-24). Suppose -4*w + f*h + 40 = 0, 5*w - 4*h - 58 = -10. Calculate the remainder when w is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 smaller than 0.0562863?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 13261 (base 7) to base 2\nAnswer: 110111110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251222 is divided by 147.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + (-1092)\/140)*4\/(-7)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1182 (base 14) to base 11\nAnswer: -2327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n + 0*n + n + 2*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.17 + -0.83. Let m = 0.0051 + 4.9949. What is the third biggest value in o, m, -0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 124 and 88.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, w: 7, s: 1, l: 5, t: 1, m: 2}. Give prob of sequence mst.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 2:49 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/191 (b) 14 (c) -2 (d) -0.2 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -663 - -435. Let s = 230 + k. Which is the nearest to 1? (a) s (b) 3 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27405843?\nAnswer: 3, 9135281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-7)*y*y**(3\/7)*y**(1\/13)*y*y**(-13)*y assuming y is positive.\nAnswer: y**(-136\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6*64\/(-72)*(-9)\/4. What is the greatest common divisor of 12588 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4450)\/(-9256) - (-15)\/(-60).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -63689*444\nAnswer: -28277916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15224*p**2 - 182692*p + 48.\nAnswer: 4*(p - 12)*(3806*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22350653.\nAnswer: 13, 571, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19646 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224*q - 5867865 - 2467482 = -155*q. What is the hundreds digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53452 divided by 2600?\nAnswer: 13363\/650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 3*l**2 - l - 2. Calculate h(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 - (-17 + -20 - -30).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1425, -2888, -4367, -5868, -7397?\n\"Answer: -c**3 - 2*c**2 - 1450*c + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 9:28 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -593, -591, -589?\nAnswer: -587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -22, 0.05, -1\/84, -4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2. Let o be 4\/(-38) - (-3580)\/76. Let x(r) = -416*r**2 + 113*r**2 + o - 47. Calculate x(a(y)).\nAnswer: -303*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/31, -73, -1122.9?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) -2 (b) 359 (c) 0.3 (d) 4 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2473*13.26\nAnswer: -32791.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9922096.\nAnswer: 2, 727, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 4*m = 6*m + 97, 0 = -4*b + 5*m + 141. Let k(r) = -r**2 + 36*r + 118. What are the prime factors of k(b)?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f + 22*f + 0*f. Let s(l) = -l**2. Calculate s(x(y)).\nAnswer: -361*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1998 and 13875?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2392?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.71603167 + 6.666\nAnswer: 7.38203167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 93.6 and -8.043.\nAnswer: -752.8248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/9, 1\/3, 0, 1 in ascending order.\nAnswer: 0, 1\/9, 1\/3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 2, -6, -3\/49, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 4. Let x = o - -10. What is the least common multiple of 4 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**2 + 3 + 0*t**2 - 24.\nAnswer: -t**2 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/3*(-6)\/16. Let z be 5\/4 + 8\/(-4). Let u be (2\/12 + 0)*2. Which is the nearest to 2\/9? (a) r (b) z (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -138 + 295. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + sqrt(500) + 5 + (sqrt(500) + sqrt(500) + 0 - sqrt(500))*6)**2*-5*-3.\nAnswer: 50400*sqrt(5) + 2206440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/50*58)\/((72\/(-80))\/3)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 180 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*v = -0*v + 8, 2*v - 4 = -2*c. Factor 1 + 3*m**3 + 3*m - 6*m + 3*m**2 - 4*m**c.\nAnswer: (m - 1)*(m + 1)*(3*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(288)*1*4)\/(sqrt(441)*4 - 5*sqrt(81)).\nAnswer: -80*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 125 - -169a6?\nAnswer: 17020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**4 + 7*x**3 + 11*x**2 + 5*x. Let z = -11 + 17. Let i(d) = 3*d**3 + 6*d**2 + 3*d. Let v(c) = z*h(c) - 11*i(c). Let v(y) = 0. Calculate y.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -8 - 410*c**3 - 3 + 409*c**3 + 12*c + 10*c**2. Let s be a(11). Is 9 + (s - -1) + (-6)\/(-6) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - 51. Let h = 61 + t. Is 6*8*h\/(-6) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 15 = -p, 9*p + 25 = -5*w + 12*p for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1568 and 33152?\nAnswer: 232064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 178426 a multiple of 345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -14*r. Let q(o) = -4*o - 3. Let v(w) = -18*w - 6. Let t(b) = 2*q(b) - v(b). Give t(u(p)).\nAnswer: -140*p","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 0. Suppose 4*p = 14*p - 30. Suppose 2*o - 3 = b, 5*o - 34 = -p*b - 10. Solve -b*x = 4*t + 14, -x + g*t = 2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -874, -5610, -18464, -43498, -84774?\n\"Answer: -677*r**3 + 3*r**2 - 6*r - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -195*y**3 - 7*y**2 + 107*y - 101. What is w(1)?\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 169892167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 66292*i**2 + 36*i + 2470.\nAnswer: 132584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -20849143 plus -137582?\nAnswer: -20986725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pa when two letters picked without replacement from {p: 4, e: 1, k: 3, a: 4, d: 2}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 216\/28 + 4\/14. Let q be (-2)\/4*s\/(-28). Let v = -0.1 + 0.3. What is the closest to 0 in q, v, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 50*h - 20738 = 48*h, 5*h = 3*f - 15534. What is the thousands digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 15*r + 1962. Let n(w) = 4*w + 653. Determine 2*i(u) - 7*n(u).\nAnswer: 2*u - 647","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6546241 (base 7) to base 14.\nAnswer: -16c258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 2 = a, a - 4*j = 12 - 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/5)\/(-6*3\/18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbbofbobxrfbbfrbb. Give prob of sequence xbr.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(-1)*(-4)\/(5 + -9). Let f be 2\/y + 504\/(-735). What is the nearest to -1 in 3, f, 6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rysl when four letters picked without replacement from {r: 1, s: 5, l: 1, y: 1, m: 1}.\nAnswer: 5\/3024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -20, -s - 3*p - 12 = -4*s. Let m(d) = -20*d - 21. Let b(q) = -7*q - 7. Let t(r) = 17*b(r) - 6*m(r). What is the units digit of t(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -1\/3*z - 1\/3*z**4 - 2\/3*z**2 - 1\/15*z**5 - 2\/3*z**3 + 11. Factor q(f).\nAnswer: -(f + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -473 - -746. Suppose 20*n - u = -n. Suppose -a - 4*a = -25. Solve -4*h - a = -n for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15870896047 - -3170.\nAnswer: -15870892877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 492 - -63?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, t: 2, o: 10, y: 4}. What is prob of picking 1 d and 2 y?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*g = 0. Let n(u) = -u**3 + 7*u**2 + 3. Let k be n(7). Solve g = -k*f + 2*q + q, 4*f - 5*q = -5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((5\/(3\/(-3)))\/(-39))\/(18*41\/(-2214))?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-4)\/(-14) + (-1250)\/(-35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, -2, -3\/4, 1\/17 in descending order.\nAnswer: 1\/17, 0.05, -3\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 6*i - 2. Let k(f) = 7*f - 3. Let j(b) = 6*d(b) - 5*k(b). What is the remainder when 24 is divided by j(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -41.6 to the nearest integer.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 464 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -1. Suppose f = 2*y - y - 4. Solve y*h = h + 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 40 (c) 1 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v**3 - 378*v**2 - 103*v**2 + 4*v**3.\nAnswer: -2*v**3 - 481*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than or equal to -2\/95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*y = 24. Which is the biggest value? (a) y (b) -1\/3 (c) 1\/3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62889?\nAnswer: 3, 20963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -0*r + r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**3 - 20*x**2 + 23*x - 60. Let s be q(-11). Does s = -71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-9))\/(1412\/57186).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 4*u - 5*w + 19, -2*w + 2 = 2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.694589 meters in centimeters?\nAnswer: 869.4589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29977925 to the power of 1\/2, to the nearest integer?\nAnswer: 5475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cf when two letters picked without replacement from {c: 7, f: 12}?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2. Let w(i) = -2*i**2 + 3*i**2 + 4*i**2. Calculate w(r(j)).\nAnswer: 20*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 633*b + 4212*b - 833*b.\nAnswer: 4012*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -4*o + 5*i, -i = 3*o - 8*o - 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/6 of a hour?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1284 or -11?\nAnswer: 1284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1187 is divided by 1178?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, u: 7, p: 1, z: 3}. Give prob of sequence zupc.\nAnswer: 7\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**2\/9 + 2350*c\/9 + 16256 = 0. What is c?\nAnswer: -2286, -64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 14) in base 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 + 55*x.\nAnswer: -x*(x - 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51655 + 2*q**2 + 1362*q - 51655.\nAnswer: 2*q**2 + 1362*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -511 = 41683*y - 41610*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000 - 122120012012?\nAnswer: -122120011012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4, 4*h = -2*z + 7*z + 262. Calculate the remainder when h is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 57 + -250. Let w = 193 + o. Solve p + 5 + w = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*b - 4020 = 21*b for b.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a milligram in micrograms?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-453695)\/2486)\/((-10)\/(-8))?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5 = -3. Suppose 0 = o*t - 4*t + 4. Suppose 0 = -3*x + t*x. Solve 5*s = -3*u + 2 - x, 2*u + 5*s = -2 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -462 and -42?\nAnswer: 19404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1 + (sqrt(396) - sqrt(396)*2) + -2 + (sqrt(396) + 2)*-5*-6*-4)**2.\nAnswer: 354288*sqrt(11) + 5857372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4 - 12718*m**3 + 101598*m**2 + 114318*m.\nAnswer: 2*m*(m - 6351)*(m - 9)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5781156 to the power of 1\/3, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 937\nAnswer: 93.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5219\/15 + -1738\/5. Let q = -0.1 + 0.19. Let u = -4.91 - q. Sort s, -6, u in descending order.\nAnswer: s, u, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19743133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvwvvvvvvvwvvvv. Give prob of picking 4 v.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153041 is divided by 17002?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/2, -0.5, -2\/9, -3\/8?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2995?\nAnswer: 5, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -y - 0*y + 3*z, 0 = -y - 4*z + 2. Suppose 4*m + 1214 = 4*a + y*m, 2*m = -4*a + 1234. What is the common denominator of ((-5)\/28)\/(18\/a) and 93\/14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*n**3 - 37*n**2*w**2 + 3*n*w**2 - 64*w**2 wrt n.\nAnswer: 60*n - 74*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 1 + 4. Let m be f*((-1 - 7) + -1). Does 2 divide 0 + -2 - (2 - m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4923726421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 491, 987, 1479, 1967, 2451, 2931, 3407?\nAnswer: 3879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 352303 (base 8) to base 3\nAnswer: 20002121120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306 is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -12, v + 2*v - 2*f = 63. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-76)\/266)\/(8\/(-1638))*72\/(-54)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 4, 18.\nAnswer: -3, -1, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 204356 divided by 13.\nAnswer: 204356\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -2*t**3\/27 - 2*t**2\/9 + 12. Solve l(w) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2833.008ml to litres.\nAnswer: 2.833008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-2)*(-3 - -9). Let t(m) be the third derivative of 0*m + 0 - 1\/60*m**5 - m**c - 5\/24*m**4 + m**2. Calculate t(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-8)*((-3536)\/(-561))\/13?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 21, 30, 41, 54, 69, 86?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is cad - -1e2?\nAnswer: e8f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5\/317 - -352\/2219. Factor -1\/7*s**2 - j*s + 0.\nAnswer: -s*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 27*l**2 - 103*l - 133. What is the hundreds digit of u(19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + (-4 - -7) + (-3 - -5) + -6?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -g + 5*g. Let i = 11 + g. Let d = i - 4. Which is bigger: -2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 750669 is divided by 3277?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/sqrt(5) + 2 + sqrt(48)*-1 + 5.\nAnswer: -3*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**1*c)**(1\/25)*c**(-1\/8)\/(c*c\/(c*c**(-6))))**45)**(1\/45) assuming c is positive.\nAnswer: c**(-1409\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of 1\/56*w**8 - 1\/6*w**4 + 0*w**2 + 0*w**6 + 0*w**3 + 0*w**5 + 4*w + 0 + 0*w**7. What is the third derivative of h(d) wrt d?\nAnswer: 120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - q - 5. Let b be h(8). Let z = 39 - b. Calculate the remainder when (4\/z)\/(3\/(-873)) is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**5 - 6*u**5 + 2*u**5 + 8*u**3 - 8*u**3 - 35*u**5 + u**5 + 6*u**5 - u**5 + (-2 + 2 - 1)*(u**4 - 2*u**5 - u**4).\nAnswer: -29*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(-250)*-4*-5. Let a = 6 - 3. Let d = a + -4. What is the third biggest value in 1, d, f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 - 2*q**3 - 3 + 0*q**3)*(62 - 62 - 67).\nAnswer: 67*q**3 + 201","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6424 + 6424 - 2*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -3\/13, 2, 0.4, 3\/4, -4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a4ba + -40?\nAnswer: -a50a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 939767946*i*y**2 - 1475642*i*y + 127*i wrt y.\nAnswer: 1879535892*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**3 - 4*c**2 + c + 5. Give s(-4).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, h: 1, u: 3, q: 1, k: 2, v: 2}. Give prob of sequence vxq.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -7*v**3 - 5*v + 5. Let y(c) = 7*c. Let j be y(2). Let a(q) = -q**3 - 18*q**3 + 14 - q**3 - 14*q. Calculate j*o(n) - 5*a(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -a**4\/14 - 20*a**3\/21 + 11*a**2\/7 + 110. Factor r(f).\nAnswer: -2*f*(f - 1)*(f + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 4. Suppose 5*a - 45 = -3*w - s*w, -4 = 2*w. Solve 4*c - 28 = 2*o, -c - 4 - a = 5*o for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 161 - 111. Is ((-284)\/10)\/((-20)\/d) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/1655 and 33\/70.\nAnswer: 23170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -22811.515 to the nearest 100.\nAnswer: -22800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 964339650 divided by 192867930?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.64132 years in decades?\nAnswer: 3.864132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-182 - -178) + (26 - (0 + 2) - 3)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 102.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1098 and 174402.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 7*v. Suppose d + 4*n - 6*n + 2405010 = v, 3*n = d + 2405015. Round d to the nearest 100000.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2396, -2, 1 in descending order.\nAnswer: 2396, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -181, -50, 6, -4 in descending order.\nAnswer: 6, -3, -4, -5, -50, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 31413?\nAnswer: 31413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s - 168 = 126. What is the remainder when 116 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 1 - 3. Let a be 6\/(((-3)\/k)\/1). Let v be (-1)\/(0 + -1) - 1. Solve a = -2*m + 3*h, 3*m - 4*h - 1 + 7 = v for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 - -0.4. Let h be 0 + 0 + (-2)\/(-6). Suppose -3*s = -2*s. What is the closest to s in h, r, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2973*c**2 - 4*c - 4. Let i(r) = -8900*r**2 + 11*r + 11. What is 4*i(m) + 11*t(m)?\nAnswer: -2897*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -25 (b) 1 (c) 2\/7 (d) -0.4 (e) 0.157\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 265181*g - 44183?\nAnswer: 265181","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37765, -75358, -112943, -150520, -188089?\nAnswer: -225650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1100 is divided by 31?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 6*m**2 + 2*m + 2. Does 5 divide w(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360*n**3 - 338601*n**2 + 188931*n + 8460 = 0. What is n?\nAnswer: -1\/24, 3\/5, 940","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(720)*2)**2 + sqrt(245) + (5 + (-1*sqrt(245) - sqrt(245)))**2.\nAnswer: -133*sqrt(5) + 26925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 7 + 3*g - 4*g + 0*g. List the prime factors of m(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v\/(v**(-3\/8)\/v)))\/(((v\/v**(4\/13))\/v)\/v))**(-5\/4) assuming v is positive.\nAnswer: v**(-485\/416)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13222550 - -1?\nAnswer: -13222545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -26*x + 281, -2785*x + 21 = -2784*x + 2*n for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + m = c - 7, -4*c - 4*m - 4 = 0. Let f be c\/4 + (-195)\/(-52). Sort f, -5, -2 in descending order.\nAnswer: f, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p - 14. Give i(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 18*a + 21961. Suppose 0 = -6*o + 13*o. Is z(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 111*g**2 - 27*g - 38. Let t be y(-6). Let l = -2646 + t. Is 18 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1097 - -1096.7486. What is g rounded to 3 dps?\nAnswer: -0.251","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 205 - 205)*(-1 - 2*f + 1).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -133, 13\/5, 447 in ascending order.\nAnswer: -133, 13\/5, 447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9\/371 + -4007\/12243. Which is greater: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37292 - 32408. What is the remainder when o is divided by 94?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (108 - 112 - (7 + 0)) + 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(2) + -3)*6*3*-1.\nAnswer: -54 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n + 292. Let q(a) = -46910*a. Determine k(q(s)).\nAnswer: -46910*s + 292","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 50249100 rounded to the nearest 1000000?\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 217?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w - 14*w - 4 = 0. Let j be ((-44)\/w - 7)\/(-18). Which is the nearest to 1? (a) -3\/8 (b) 0 (c) 1 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1531739 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1255 - 5435 = -959*a + 2900 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 10237 = -2*u + 7890, 3*u - 4*m = 27233. Let f = u - 126899\/14. What is the common denominator of f and 41\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.1 (b) 3\/4 (c) -6 (d) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -798 + 1117. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 264\/96*8\/(-10).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 (base 16) in base 15?\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15482, -30920, -46300, -61622, -76886?\nAnswer: -92092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -53 + 552. What is the remainder when n is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-5 - 232\/(-46)). Let v be (-10)\/(-50) - o\/65. Which is the fourth biggest value? (a) v (b) 0 (c) -1\/4 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*b = 33*b + 8. Let r(u) = 5 + u**3 - 1179*u + 1184*u - 7*u**2 - b. Give r(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 824*b - 7. Let n(q) = -6*q**2. Calculate j(n(i)).\nAnswer: -4944*i**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 488735?\nAnswer: 5864820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 216756 and 8028?\nAnswer: 216756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8\/25 of a minute?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.8 + -1. Sort -0.1, h, 1\/33 in descending order.\nAnswer: 1\/33, -0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/8, -2\/11, -366, 0.6?\nAnswer: -366","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5141831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h + 4. Suppose w = -4*w + i + 246, -2*w - 2*i + 108 = 0. Suppose -w = -0*p - 5*p. What is the least common multiple of c(0) and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5987*r + 5979*r - 17986*r + 1760 = -5988*r for r.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g**2 + 63346*g + 506559. Calculate w(-8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 7) in base 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 9*g + 4. Let s = 6 - -3. Let t be a(s). Find the third derivative of 4*h**2 + h**4 - h**4 + 7*h**t - 3*h**4 wrt h.\nAnswer: 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1018 or 192475\/189?\nAnswer: 192475\/189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -12. Suppose -c = -j - 4, -c - c = 2*j + a. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 + 5 - 1) + 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*t - 81*t - 1933 = -20*t - 18547 for t.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3208 - 1782 = 0. Let w = l + 4815. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 1. Let x(y) = -4*y**2 - y + 3. Let d be x(-2). Let u = -11 - d. Solve u*c + 2*c = -8, z = 4*n - c + 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*h**3 - 349*h**2 + 7*h - 72943.\nAnswer: -21*h**2 - 698*h + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*l**3 - 15*l**5 + 21819*l**4 - 24*l**5 - 21819*l**4 - 2*l**3 + 492*l**2 wrt l.\nAnswer: -2340*l**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.15 + -8. Let j = 0.15 - z. Let p = -30 + 29. Which is the smallest value? (a) j (b) 3\/5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.14 + -3.14. What is the nearest to 1\/3 in -1\/2, g, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -1074*z - 47263. Determine l(-44).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**5\/60 - s**4\/24 + s**3\/6 + s**2. Let i = -131 + 131. Suppose i = -4*r, -4*r + 2 = k - 3*r. Give m(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 * -53.482\nAnswer: -64.1784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of y**4\/6 - 31*y**3\/3 + 130*y**2 - 1561*y. Factor r(o).\nAnswer: 2*(o - 26)*(o - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-15)\/(-60))\/((-2)\/12). What is the closest to -0.3 in o, 4, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-20)*8\/(-18)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 110 = 4*z - 50 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of g**9\/5040 - g**8\/560 + g**7\/210 - g**4\/8 - 3*g**2. Let m(k) be the second derivative of u(k). Let m(f) = 0. Calculate f.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 59 + 39 = 0. Solve 0 = p + i - 7 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -6, -1, -10 in decreasing order.\nAnswer: 21, -1, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 38749973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 3*n + 3. Give d(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 26*y**2 + 49*y - 33. Suppose 0 = s - 5*f + 12, -13*s + 18*s + f + 112 = 0. Let n be d(s). Calculate the highest common divisor of 75 and n.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 25906 = -2*w, 0 = -2*l - 2*w - 3*w + 25918. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 7:03 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (21\/14)\/((-171)\/(-4))*-30. Which is bigger: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39.04 + 44.04. Let r(n) = n**3 - 7*n**2 + 7*n - 9. Let j be r(6). Which is the nearest to 0.1? (a) o (b) -2\/7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -15*l**3 - 8*l + 3. Let f(g) = -29*g**3 - 15*g + 5. Let o(u) = -3*f(u) + 5*r(u). Find the second derivative of o(i) wrt i.\nAnswer: 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -102 - -101. Which is the nearest to p? (a) -0.3 (b) 2.4 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - y + y)*(-1 + 3*y**2 + 1)*(6*y - 5*y - 3*y) + y**4 + 2*y - 2*y + (-2*y**2 + y - y)*(5*y**2 + 0*y**2 - 4*y**2).\nAnswer: -13*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y**3 - 23*y**2 - 10*y + 17. Let l be f(8). Let r be (-4 - -4)\/8 - l. Let w(s) = 2*s**3 + s**2 - s - 1. Determine w(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209480.\nAnswer: 2, 5, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 745.7 - 717. Let d = w - 29. Let q = -0.2 - -0.5. What is the third smallest value in -4\/9, q, d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - (-6)\/(-3))*1\/(-2). Suppose v = -8*n + 115 - 3. What is the remainder when 40 is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-48)\/14)\/((-5)\/35). Let i be (-4542)\/(-8) + r\/(-32). Let f = -6233\/11 + i. Is f > 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -22781352*s - 91125404. Give z(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(143)*-1)\/(1*-1*sqrt(11)) + -4.\nAnswer: -3*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -3*w**4\/2 - 1926*w**3 + 2044455*w**2\/2 + 4111974*w + 4119654 = 0.\nAnswer: -1687, -2, 407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = s - 153. Suppose 0 = 14*l - s*l + 84. Calculate the lowest common multiple of 88 and l.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -76100 + 27227. Let v be 14\/(-7) - g\/(-20). Let k = -2445 - v. Calculate the common denominator of k and -53\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 k when three letters picked without replacement from pqpxkppkkbqqqp?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -t - 15. Let l(b) = 8*b**3 - 20*b - 5. Let n(m) = 8*m**3 - 21*m - 6. Let g(y) = t*n(y) + 6*l(y). Find the second derivative of g(o) wrt o.\nAnswer: 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 7*w**2 + 5*w + 8. Let f be d(-5). What is the highest common divisor of 209 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3d - -3a90?\nAnswer: 3acd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-4*(sqrt(156)\/sqrt(3)*-3 + sqrt(208)*-4))\/(1*-4*(sqrt(88)\/sqrt(2))\/sqrt(11)))**2.\nAnswer: 6292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 616*d + 9 + 300*d**2 + 317*d + 2 + 299*d - 294*d**2.\nAnswer: 6*d**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20723 by 1219.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15740 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3 - 5*d + 2*d + 1. Let o(n) be the second derivative of n**3 + 5*n**2\/2 - 4*n. Calculate -2*o(s) - 5*p(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 236 + -234. Let m = 28218507 + -17688503. Suppose 5*t = -5*l - 17550010, -t - n*l - m = 2*t. Round t to the nearest 100000.\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 11*c**2 - 13*c - 8. Let r be l(-12). Suppose r*n - 16 = -0*n. Is 3 a factor of (n - -3 - -3) + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -389 - -375. Let x = g + 14.3. Which is the second biggest value? (a) -7 (b) -11 (c) x (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 15 = -0*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 643891621.6618 and 5?\nAnswer: 643891616.6618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 458060?\nAnswer: 2748360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**2\/7 - 29531484*l\/7 + 59063052 = 0. Calculate l.\nAnswer: -9843842, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 8, 4, -1\/2, 0.2, 169, -813?\nAnswer: -813","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1925*j**3 - 116 + 1954*j**3 + 116.\nAnswer: 29*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in five quarters of a millisecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - 2)*(-3 - 2). Let k be (n\/((-25)\/(-8)))\/(6\/30). Let z be 6\/(-8) + (-46)\/k. Solve 10*q + 5*f - z = 5*q, -5*f - 3 = q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-25)*(-24)\/(-48))\/(3\/615).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 11*c + 731. Let v(i) = 6*i + 325. Let n(a) = -4*t(a) + 9*v(a). Let h(q) = 123*q**2. Calculate h(n(b)).\nAnswer: 12300*b**2 + 2460*b + 123","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.268 and -284?\nAnswer: -76.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 91\/2480?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16238, 32480, 48708, 64916, 81098?\nAnswer: 97248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1470, 3345, 5622, 8301, 11382, 14865, 18750?\n\"Answer: 201*h**2 + 1272*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 12*4*3\/18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of 9*d**5\/20 - d**4\/4 + d**3\/3 + d**2\/2 - 8*d. Let w be (-1)\/(-2)*(4 + -2). Does 3 divide a(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -9. Let c(r) be the second derivative of -r**3\/6 - 3*r**2\/2 - r. Let w be c(-7). Solve 0 = 2*b - w*p, 4*b - u*p = 3 + 7 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(56)\/(sqrt(80)\/sqrt(90)) - ((6*sqrt(56))\/sqrt(8) + (sqrt(63)*2 - sqrt(7) - sqrt(7))))**2.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06058 to three dps.\nAnswer: -0.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18897.\nAnswer: 3, 6299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.4*-4.\nAnswer: -21.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68292 divided by 2.\nAnswer: -34146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84690429?\nAnswer: 3, 19, 59, 25183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -6*r - 74. Let w be (r\/28)\/((-29)\/(-12)). Put w, 4, 3\/5 in descending order.\nAnswer: 4, 3\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-91))\/((-200)\/148200)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8705 = -4*s + 3*j, -3*s + 8622 = 5*j + 2115. Suppose 9185 = -57*p + s. Which is the fourth smallest value? (a) -2 (b) 2\/3 (c) p (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 726 divided by 242.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, 5, 4, 216?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20787 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 10:37 PM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50, 52, 48, 32, -2, -60, -148?\nAnswer: -272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k - 27. Let g be r(-10). Solve -3*i**2 + 2*i**g + 2*i**2 - 3*i**2 = 0 for i.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w. Suppose 2*k - 19 = -5*n - 8, -5*n - 79 = -3*k. Let g(l) = 24*l**2 - k*l**2 + 14*l**2 + 33*l**2 + 0*l**2. Calculate i(g(m)).\nAnswer: -106*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a. Let h(p) be the first derivative of 4*p**3\/3 + 214. Calculate h(b(r)).\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 2*s**3 + 2*s**2 - 12*s - 3. Let q(p) be the first derivative of g(p). Let f(d) = -2*d**2. Give f(q(v)).\nAnswer: -288*v**2 - 192*v - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4.3 from 29186560.\nAnswer: 29186555.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in 2\/3, -4\/5, -0.3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 7:33 AM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5502, 5500, 5498, 5496?\n\"Answer: -2*h + 5504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x - 5. Let y(k) = 20*k + 26. Suppose -u - 11 = -z, 55 = -5*u + 2*z + 2*z. What is u*i(r) - 2*y(r)?\nAnswer: 4*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -w**6\/6 - 3*w**3 + 13*w. What is the second derivative of x(a) wrt a?\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21*12\/(-105)*-185 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -932.\nAnswer: 925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -813.16 rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1365*y**2 + 57*y + 4.\nAnswer: 2730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2. Let x(p) = -15617222*p. Determine x(r(i)).\nAnswer: 15617222*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 25*p - 54. Let h be c(6). Suppose -h = -3*v - 21. Find the second derivative of 9*z + 14*z - 2 + 8*z - v*z - 18*z**2 wrt z.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 1\/9499, -26?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of o**4\/4 - 5*o**3\/3 - 5*o**2\/2 - 3*o + 2. Suppose -2 = b + 4*z, 0*z + z + 14 = 2*b. Give h(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**2 - 4*j + 6. Let n be h(-3). Suppose 26*f - 31*f + 15 = n. Let q = -83\/12 + 25\/4. What is the third biggest value in q, 0.5, f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7576931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 169*h**2 + 1. Let c be f(2). Let v = 2848 - 1558. Let k = c + v. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25 + 9 - 9391*u - 62 + 28 in the form p*u + b and give p.\nAnswer: -9391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g - 1. Let s be c(3). Suppose -i - s*i + 27 = 0. Is 37\/(-3)*i\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5240 and 550727930?\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + 110 + -46 + -26?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/303, 0, -879\/8 in decreasing order.\nAnswer: 2\/303, 0, -879\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 55 (base 7) to base 14\nAnswer: 2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**2\/7 + 6*k\/7 - 4\/7 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1018427 + 0.7?\nAnswer: -1018426.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 0*y + 16 = -2*n, 0 = -4*y - 3*n + 4. Let h be (-18)\/(-4) + -7*1\/(-14). Solve y*z + z + h = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -210 + 3?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35166*h + 35164*h + 114*v + 1264, -3*h + v = -26 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/35859131 or 0?\nAnswer: 6\/35859131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 92b - -24a3?\nAnswer: 3101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 r when two letters picked without replacement from {b: 1, r: 1, a: 1, z: 2, e: 5}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1219\/7 + 349\/2. Let o be (-9385)\/4*3\/5. Let v = o - -1396. Calculate the common denominator of v and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3258, 16267, 38076, 68691, 108118, 156363, 213432?\n\"Answer: v**3 + 4394*v**2 - 180*v - 957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39.85 + -0.85. Let n = 31.2 - j. Let g = n + 8.1. What is the smallest value in 10\/11, -2, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -1291*j + 239. Let q(h) = 643*h - 121. Let y(r) = 2*m(r) + 5*q(r). What is the derivative of y(f) wrt f?\nAnswer: 633","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 450*n**4\/7 + 46085854*n**3\/7 + 409652*n**2\/7 = 0.\nAnswer: -102413, -2\/225, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-8)\/t)**(-16\/3) assuming t is positive.\nAnswer: t**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 9) to base 5\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -2*s + 13. Is 13 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-8)*(-56)\/2. What is the highest common factor of 126 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 7:11 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -ba + -7?\nAnswer: -c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 56, 274, 894, 2114, 4132, 7146?\n\"Answer: 33*v**3 + 3*v**2 - 22*v + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 186651810 and 3186?\nAnswer: 3186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**4 - 13*z**3 + 56*z**2 - 92*z + 48 = 0.\nAnswer: 1, 2, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 816 and 11424?\nAnswer: 11424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 + 205682*c + 2262623.\nAnswer: -(c - 205693)*(c + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(4\/3) - 270\/40?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 21*k**6\/2 + 19*k**4\/4 - 3236*k**2 - 4122. What is the second derivative of g(m) wrt m?\nAnswer: 1260*m**3 + 114*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2794 = -10*b + 2536. What are the prime factors of b?\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*o**4 + 26792*o**2 - 2*o**3 - 10*o - 2 - 26792*o**2 to d*o**2 + x*o + z*o**4 + q*o**3 + h and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 76.99981 + -77. Round z to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + 36 - (-3 + 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 26. Solve m - 5 = -r for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -12*(-3)\/8*2. Let l be (1116\/16)\/m - 6\/8. Let g be -4 + l\/((-175)\/(-90)). Which is the nearest to 2\/5? (a) g (b) 2\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 2, -33, -2\/9, 2\/139.\nAnswer: -33, -0.3, -2\/9, 2\/139, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 589993.1 kilograms?\nAnswer: 589993100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 348, -4, 0, -111, -34, -2 in descending order.\nAnswer: 348, 0, -2, -4, -34, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 213\/(-6)*2*(-6 + 4) and 1?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2681238 and 11?\nAnswer: 29493618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4321615 (base 7) to base 9.\nAnswer: 882154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -7*r**3 + 6*r**3 + 360*r - 5*r**5 + 2*r**3 + 180 + 4*r**3 - 25*r**4 + 205*r**2 = 0.\nAnswer: -3, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 48, -1, 2, 4 in increasing order.\nAnswer: -1, 1, 2, 4, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -6 (b) 0.6 (c) -22 (d) -2 (e) 93\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -109824 plus -0.00571?\nAnswer: -109824.00571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/(-5)*(6 - 1). Let y be (-107798)\/f + 11\/77. What is y rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 56\/(-12))\/(5\/60).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -6*b**3 - 4*b**2 + 3*b - 4. Let a(u) = -u**2 + 2*u + 20. Let m be a(6). Let k(s) = -4 + 2*s**3 - 3*s**2 + 2*s - 7*s**3 + 1. Give m*k(p) + 3*l(p).\nAnswer: 2*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 7*c**2 + 2*c + 2. Let g be -32 + 33 + 5 + -1. Suppose 3*a + 10 - 2 = -q, 3*q = g*a - 10. Let j(x) = 8*x**2 + 2*x + 2. Give q*j(p) + 6*b(p).\nAnswer: 2*p**2 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -81*s + 74*s + 21. Let r(q) be the first derivative of -2*q**2 + 2*q**4 + 4 - 4\/5*q**5 + 8\/3*q**s - 4*q - 2\/3*q**6. Find z such that r(z) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*q**4 - 6*q**4 + 5*q**4)*(-4 + 2 + 0)*(-6 + 11 - 8)*(-4 + 6 - 3).\nAnswer: -132*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -177744*m**6 - 822*m**2 + 8*m + 1?\nAnswer: -21329280*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + i**2)*(-31310 + 84350 + 38529 + 57946 - 2*i) to the form j + l*i**2 + n*i + s*i**3 and give l.\nAnswer: 149515","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13309138.\nAnswer: 2, 947, 7027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 96542?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -82*y**2 - 25*y - 123. Let b be k(-4). What is the common denominator of (b\/(-880))\/(27\/(-18)) and -151\/66?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120b8 (base 15) to base 8.\nAnswer: 160314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -2\/13 (b) 2 (c) 237 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1529.5 + -1381.\nAnswer: 148.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4393 is divided by 205?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -336.31 and 5.\nAnswer: -1681.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 19 + 10. Let z(j) = -j**2 + 33*j - 165. Let u be z(5). Let k = h + u. What is the closest to 0.04 in k, -4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(42) + sqrt(126)\/sqrt(3)*-3)\/(sqrt(66)\/(-2*sqrt(11)) - sqrt(108)\/sqrt(2)).\nAnswer: -18*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**5 + 15*r**5 - 4*r**5 - 3*r**5 + 0*r + 0*r + (4*r**5 - 4*r**5 + r**5)*(-5 + 3 + 0) - r**2 + 3*r**5 + r**2.\nAnswer: 12*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 1321 - 1220. What is the remainder when q is divided by 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of 10*a**3\/3 - 5*a**2\/2 + 2*a. Suppose -3*r + 96 = 81. List the prime factors of d(r).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 34*m**3 - m**2 + m - 1. Calculate the smallest common multiple of 15\/1 + 6\/(-10)*-5 and c(1).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -63691 + 106664. Suppose 668*j = 661*j + a. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 3 + 2)*(-2 + 2 - 2) + 3 + 0 + 0 + 0 + 4 - 3 + 1 - 6 + 3 + (-1 + 3 + 0)*(-5 + 3 + 1) + 1 + 0 - 2)*(2*t**4 - 2*t**4 + t**4).\nAnswer: -3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6b (base 15) in base 5?\nAnswer: -401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-6*4*(-5*-2*sqrt(343) + -3 + (sqrt(343)*-2 - sqrt(343)) + sqrt(343)))**2.\nAnswer: -193536*sqrt(7) + 12649531","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8372)\/(-115) + -35 - 39)\/(12\/(-320)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76305955?\nAnswer: 5, 11, 53, 26177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j - 9. Let g(a) = 3*a + 9. What is -4*g(z) - 5*l(z)?\nAnswer: -2*z + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -192 + 293. Suppose -2*c + 0*f - 5*f = -x, 5*f + 235 = 5*c. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*l**2 - 341*l**4 - 346*l**4 + 685*l**4 - 142*l wrt l.\nAnswer: -24*l**2 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*c**3 - 3*c**3 - 21*c**3 + 12*c**3.\nAnswer: -45*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 97699.82cm?\nAnswer: 976998200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c**3 + 3*c**2 + 2*c + 7. Let a(w) = 2*w**3 - 2*w**2 - 1. Let v(u) = 2*a(u) + z(u). Calculate v(3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-five quarters of a tonne?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(1\/11)*o*(o*o**(4\/7))\/o assuming o is positive.\nAnswer: o**(128\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, b: 7, r: 2}. What is prob of picking 1 f and 2 b?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.04 - 0.0400055. Round h to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 321 - -1?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 184400008 and 13.\nAnswer: 184400008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 738 and 216?\nAnswer: 8856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1022480 - -2176480. Round p to the nearest ten thousand.\nAnswer: 1150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 121, 110, 99, 88, 77, 66?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -6\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 280272.\nAnswer: -1\/140136","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/4*(-6)\/(-14). Let y = b - 19\/10. What is the closest to y in 5, -1\/6, -4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (94 - 78 - (-3 - (19 - 0))) + -11?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7997831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16.3 in -0.2, 5, 0.06, -1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**3 + i**2 - i**2)*(758*i**2 - 89*i**2 + 773*i**2 + 822*i**2).\nAnswer: -2264*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -6*q**2 - 40*q + 106. Let a be b(2). Let z(k) = 11*k - 2. Let y(v) = 10*v - 2. Calculate a*z(x) - 3*y(x).\nAnswer: -8*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -70665*h*v + 222539*h with respect to v.\nAnswer: -70665*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/28081 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**3 + 2*k**3 - k**3)*(-k + 2*k + 0*k + (-k + 2*k + k)*(3 + 2 - 3) - 3*k + 0*k + 0*k).\nAnswer: 2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -6*s**2. Let l(b) = -5*b + 18. Let z(m) = 9*m - 35. Let t(q) = 11*l(q) + 6*z(q). Let n(g) = -3. Let f(o) = 12*n(o) - 3*t(o). Calculate v(f(i)).\nAnswer: -54*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t + 2. Let o(i) = -38*i - 22. Let r(s) = -24*f(s) - 3*o(s). Does 16 divide r(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l + 13*l + 7*l - 16*l + 20*l.\nAnswer: 28*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 2*j**2. Let w(t) = 215 - 120*t**3 - 16*t**2 + 1 + 19*t - 127*t + 132*t**3. Let o(a) = -8*p(a) + w(a). Let o(h) = 0. Calculate h.\nAnswer: -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 367436208 divided by 45929526\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 9:11 AM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6924950, -13849267, -20773572, -27697859, -34622122, -41546355?\nAnswer: -48470552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.1297 less than -5.75388?\nAnswer: -16.88358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20\/21 + 377\/462. Find the common denominator of -29\/244 and v.\nAnswer: 2684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1744, -1746, -1748, -1750, -1752?\nAnswer: -1754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1421633 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 11:28 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -888 plus -141404?\nAnswer: -142292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 5:05 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**3 - 13*n**2 - 14*n + 10. Let w be j(-5). Suppose -2*l = 2*l. Suppose -1 - 11 = 3*s, w*u - s - 749 = l. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-54)\/(-4))\/(39\/260) and 99.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**(3\/8)*b*b**(4\/9))**10)**(-18\/7) assuming b is positive.\nAnswer: b**(-1375\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 - (1 + 3 - 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*l**2*x**2 + 3*l**2*x - 23*l**2 + 14*x**2 + 3*x + 37 wrt l.\nAnswer: 50*l*x**2 + 6*l*x - 46*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, e: 4, w: 3, z: 2}. Give prob of picking 1 e and 1 z.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38386 is divided by 111.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y = 43*z + 41*z - 89*z - 153, 3*z = 2*y - 0*y - 19 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 74804327657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1184 - 4.8816. Which is the nearest to -1\/5? (a) s (b) 0.1 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -158*k - 5. Let s be z(5). Let g be (-8)\/(-28) + s\/(-35). Suppose -g = -5*b + 37. Calculate the remainder when 42 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 4:39 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -564 + 1720 + 14*i - 563 - 593. Let m(l) = l**2 + 0*l**2 + 4*l**2. Determine m(z(g)).\nAnswer: 980*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3*(1 + sqrt(637)) + 2 + -4 + (-1 + sqrt(637))*-2)**2*3.\nAnswer: -47802 - 630*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49 + 51 + 39 + 28 - 167 - 96*b.\nAnswer: -96*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2133 + 2134 + 2 + -1*(-30)\/2\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*z + 16 = -0*j, 3*j - 2*z = 8. Let q be 4 - (2 + j) - 0. Suppose x - 8 = -2*w + 70, -q*w = 5*x - 78. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 4 - (-2 - (4 - 6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9197 (base 10) to base 6\nAnswer: 110325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*24.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5*a - 28 = 0, 0 = -2*k + a - 1. Let l = -1 - k. Calculate the highest common divisor of 18 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15420455 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 79\/2 of a millennium?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/25 of a tonne?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**3 - 879*u**2 - 257547*u - 25153757 = 0. Calculate u.\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333*u + 48 = 337*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -13*v**2 - 16*v + 8. What is q(-3)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*j = -28*j. Let q(m) be the first derivative of j*m**2 + 0*m - 6\/5*m**5 - 2\/3*m**3 - 5 + 0*m**4. Find the third derivative of q(r) wrt r.\nAnswer: -144*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*1 - (-1 + -1)) + (-121)\/(-242)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 499 - 461. Calculate the remainder when 181 is divided by s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13886134 to the nearest integer?\nAnswer: 3726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*(3 + 108\/(-8)). What is r rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 0, 254, -1 in descending order.\nAnswer: 254, 1, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2718*w - 2722*w = 4*y - 72, 2*w + 342 - 132 = 2*y + 170 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/32)\/(96\/14848*-29).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 7964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 108 = 10*m. What is the second derivative of 2*p + m - 15 + 19*p**2 + 29*p**2 wrt p?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by (-6)\/51 - 172\/(-17).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/10 and 13\/50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7972.\nAnswer: 2, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 100123 (base 4) to base 6\nAnswer: 4511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 17*n = 12. Let x be 5*(1 + 0)\/(-1). Let o = -3 + 4. Sort n, o, x in decreasing order.\nAnswer: o, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*p - 2 = 150*p. Suppose -5*r - 5 = 0, -5*b + 4*r = -0*r - 24. Factor 3*y**3 - y**4 + 0*y**3 - b*y**3 + p*y**2.\nAnswer: -y**2*(y - 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 50\/10836363 or 0?\nAnswer: 50\/10836363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 118?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.037460393 rounded to three decimal places?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 88 = 4*m, -3*m + g = 195 - 256 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/9 (b) 5 (c) -0.2811\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -48 - -50. Suppose -236 = -3*l - 0*l + v*n, -2*n + 232 = 3*l. List the prime factors of l.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4587890, -4587889, -4587888, -4587887, -4587886?\n\"Answer: k - 4587891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -1243*n**5\/10 - 5*n**4\/12 + 4*n**3\/3 - 3*n**2\/2 + 914*n - 5. What is the third derivative of u(j) wrt j?\nAnswer: -14916","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + w + w)*(-1 - 2*w**3 + 1 + (w**2 - 2*w**3 - w**2)*(-2 + 0 + 4) - 575*w**2 + 69*w**3 + 575*w**2).\nAnswer: 63*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 199329161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/180)\/(-3*(-3)\/(-45)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -129 + 6*a + 130 - 36*a. Calculate i(-1).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 47 - (-1)\/1. Let c be -22*9\/(-18) + 218\/6. Let g = b - c. Sort g, 0.1, -7 in increasing order.\nAnswer: -7, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 7125.462cm?\nAnswer: 0.07125462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 7*t**2 + 5. Let s be v(-7). Suppose 0 = 2*r - 3*r + s. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - 4*o. Let l be k(4). Let w = -11 - -13. Solve 5*f + 18 + w = l for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -28, -105, -282, -607, -1128, -1893?\n\"Answer: -8*s**3 - 2*s**2 - 15*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.02 + -1.98. Which is the second smallest value? (a) h (b) 5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 21*d + 135. Give l(-18).\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*k - 12 - 2 = 0, 4*i - 3*k + 4 = 0. Suppose -x - w = -150, -i*w + 299 = 2*x - w. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -19*i**5\/10 - 24*i**2 - 16*i. What is the first derivative of f(p) wrt p?\nAnswer: -114*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -14746 - 15570. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(26)\/(sqrt(8)\/sqrt(4) + sqrt(2)))**2.\nAnswer: -39\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n + 1 + n**3 - 2 - 5*n**2 - 5 + 4 to r*n**2 + b + q*n**3 + h*n and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4712936102 to 2 dps.\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5252 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125573796?\nAnswer: 2, 3, 3488161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3159\/(-26)*78\/(-9). Calculate the highest common divisor of 243 and t.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.10265s to nanoseconds.\nAnswer: 55102650000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = 5*v + 5*u + 323, 0 = -4*v - 3*u - 309. Let a = -41 - v. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2286601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11153807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001010100000010001101 (base 2) to base 7.\nAnswer: 53401543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5\/23*((-182)\/65)\/7\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92 + 2*a**2 + 11*a + 90 + 3*a**2 - 6*a**2 - 186.\nAnswer: -a**2 + 11*a - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 13*p**3 - 2*p - 545. Let o(s) = 72*s**3 - s**2 - 10*s - 2724. Give 2*o(k) - 11*y(k).\nAnswer: k**3 - 2*k**2 + 2*k + 547","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4013*c**3 + 4015*c**3 + 483 - 82.\nAnswer: 2*c**3 + 401","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 9. Solve k = i, 0 = -2*u + 3*i - 3 + 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -53*u**5\/30 - 52*u**3\/3 - 60*u**2 - 89. Let m(d) be the second derivative of b(d). Differentiate m(z) with respect to z.\nAnswer: -212*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 538, 548, 562, 580, 602, 628?\n\"Answer: 2*v**2 + 4*v + 532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*j, 1941 = -3*h + j + 12416. Is 157 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2 - 2*s + 16150. Let v(t) = -t. Determine v(g(f)).\nAnswer: 2*f**2 + 2*f - 16150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -81\/4, 1, -10932 in descending order.\nAnswer: 1, -81\/4, -10932","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -88 + 614\/7. Let d(x) = -x**3 - 6*x**2 - x - 3. Let b be d(-6). What is the third biggest value in t, 0.5, b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uyu when three letters picked without replacement from {u: 4, y: 1, r: 6}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m + 4*m + m + 109*m**2 - 110*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -5815*i - 1. Let l(k) = 234*k - 3. What is l(x(v))?\nAnswer: -1360710*v - 237","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) -0.50001 (c) 4.28 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2523108 is divided by 585?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 7*b + 10. Calculate a(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 e when two letters picked without replacement from {k: 3, n: 2, x: 6, c: 5, e: 1, s: 2}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 9 = 0, 3*p + 13 = -5*j - 33. Let g = 20624\/14735 + 1\/2947. What is the third smallest value in -0.5, g, j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4056 minus 0.02126609?\nAnswer: -4056.02126609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 8*r - 20. Suppose -l + r = 2. Let n(c) = -4*c - 75. What is the remainder when l is divided by n(-19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -4*h, 10 = 4*b - h + 3*h. Factor -b*z - 2*z**2 + 3*z + 3*z - 5*z.\nAnswer: -2*z*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 - 36. Let c(l) = -l**3 - l**2 - l + 5903. Is c(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(80) - (-5 + sqrt(80) + 0 + sqrt(80)) - (1 + sqrt(80) + 3)) + 5 + 1)**2.\nAnswer: 128*sqrt(5) + 5124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15544*f**2 - 62620*f - 1776.\nAnswer: -4*(f + 4)*(3886*f + 111)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 - 7*(-8)\/((-1176)\/(-63)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (75\/(-25))\/((-6)\/80). Calculate the highest common factor of 24 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 935699 is divided by 100.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 1217 + 76. Let i = x - 429. Solve 8*o = 7*o - i for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -347.8 + 115.8. Put k, 0.1, -0.3 in decreasing order.\nAnswer: 0.1, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197566924 is divided by 2006.\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**3 + 2*t**2 + 1. Let x(m) = -4*m**3 - 4*m**2 - 3. Let n = 633 - 628. Give n*o(r) + 2*x(r).\nAnswer: 2*r**3 + 2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -60, -58, -62, -78, -112, -170, -258, -382?\n\"Answer: -l**3 + 3*l**2 - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebejjnnjene. Give prob of sequence nb.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 118303 and 697?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t**3 + 18*t - 5. Let c(m) = 2*m**3 - 15*m**2 - 20*m - 58. Let h be c(9). Let q(r) = -5*r**3 + 18*r - 6. Give h*q(f) - 6*l(f).\nAnswer: -f**3 - 18*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 8*d**2 - 20*d - 8. What are the prime factors of n(-3)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 392 divide 53136528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, v: 9, d: 4}. Give prob of picking 1 d, 2 v, and 1 u.\nAnswer: 144\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000035202 rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 2)\/((-2)\/64). Suppose -4*r = 4*s - x, -7*s + 2*s + 36 = 4*r. Suppose 2*f - 5*q = -3*f + 15, 0 = 2*f - 4*q - 12. Solve 8 = -f*t + r*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.04 (b) -4 (c) -1\/2 (d) 2\/7 (e) -0.94\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 9. Let x(w) = -w**3 + 8*w**2 - 4*w - 5. Let l be x(7). Suppose 15*h + 2 = l*h. Is h at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7112, -14336, -21578, -28844, -36140, -43472, -50846?\n\"Answer: -j**3 - 3*j**2 - 7208*j + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 49125547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v - 5. Let m(d) = 6*d - 36. Let z(q) = m(q) - 7*t(q). Let j(c) = -7*c + 10. Determine j(p) - 5*z(p).\nAnswer: -2*p + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 6*g + h + 445 = 0, 445 = -5*g + 3*h. Let m = 29 + g. Let o = m + 63. Which is greater: o or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = -4*p - 3*z, -2*p = 6*z - 5*z + 13 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3debc (base 16) in base 13?\nAnswer: 8b59b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -4, -3\/8, 7, 31, -3, -2\/21, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 l when three letters picked without replacement from {l: 2, k: 2, w: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from mmmmvmmmmmvmmvmm?\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u**2 - 2*u**2 + u**2)*(u**2 + 24*u - 24*u) + 22*u**4 + 143*u - 143*u to n + r*u**4 + o*u**2 + a*u**3 + c*u and give r.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25052*m**3 + 6556*m.\nAnswer: 150312*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-3)*x\/(x\/x**(2\/19))*x**(-1\/2)*(((x\/(x*x\/(x**5\/x)*x))\/x)\/x**(-2\/5))**(2\/159) assuming x is positive.\nAnswer: x**(-102023\/30210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.0288417703512 + 0.0751?\nAnswer: 0.0462582296488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 46) + (-2 - -34).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1387*f - 18277 + 5830 = -4816 + 33979 for f.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-2)*(-4)\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 3*v. Suppose -9*i = -13*i - 16. Let p be y(i). Solve p = 5*d - 11 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3396*c + 4436*c + 69077 + 374143 = -4300*c for c.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18 and 0.2?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 c, and 1 p when three letters picked without replacement from {b: 5, w: 5, k: 3, c: 2, p: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 15 = -5*f, -5*u + 0*u = 2*f - 29. Suppose 2*x + 731 = 3*q, -u*q + 1219 = -7*x + 3*x. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i + 68. What are the prime factors of q(11)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8946 divided by -7.\nAnswer: -1278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 5366584?\nAnswer: 16099752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 0, 4*a - 20 = -4*w + 3*a. Let u = w + -2. Sort -5, u, 4 in descending order.\nAnswer: 4, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o + 4 - 4 + (-3 + 5 - 5)*(-4*o - o + 2*o) - 9*o - 5*o - 2*o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1539)*-1*-3 + (0 + sqrt(1539))*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*m - 770 + 2046 = -726 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2741132 by -1.\nAnswer: 2741132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 - (-130)\/(-10) - -58346*7 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1906.\nAnswer: 2, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110957 is divided by 4109?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**2\/l*l**5)\/((l**2*l)\/(l*l\/((l\/l**0)\/l))))\/(l**0\/l*l*l**(1\/3))**42 assuming l is positive.\nAnswer: l**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1\/7))\/x*x**(-3\/4)*(x*x**(2\/7)*x)**(-2\/93)*(x\/(x\/((x*x\/(x\/(x\/(x*(x\/(x\/x**(-1)))\/x))*x))\/x*x)))**48*x**(1\/4)\/x**(-8) assuming x is positive.\nAnswer: x**(134507\/1302)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/117785 + 1484123\/1884560. Calculate the common denominator of -103\/20 and d.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 x, 1 m, and 1 u when four letters picked without replacement from {i: 2, m: 5, l: 2, u: 1, x: 4}.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a gram in micrograms?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/72 and ((-106)\/32 - -3)*92\/27?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-936)\/(-84))\/(2\/14).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (8 + (-4 - -5 - 5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 75 and 2955?\nAnswer: 14775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 473090484*o**3 - 697148868.\nAnswer: 1419271452*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8756 is divided by 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 7*x**3 - 5*x**2 - 4*x - 3. Let r(g) = 5*g**3 - 5*g**2 - 3*g - 4. Let i = 65 - 62. Let q(j) = i*r(j) - 2*p(j). What is q(5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 25 - 2 - (-5 + 7 - 2).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -4, -3, -554, 18.\nAnswer: -554, -4, -3, 1, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -59*d**3 - 4*d**2 - d - 5. Is t(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1140441 to the nearest integer?\nAnswer: 1068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1253544683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(36) + (sqrt(36) - sqrt(324)))\/sqrt(3))\/(sqrt(100)*2))**2.\nAnswer: 3\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 11:06 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71803 is divided by 88.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -g**2\/2 - g + 546. Let r(l) = 4*l + 5. Calculate -18*i(f) - 4*r(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79279 is divided by 3053?\nAnswer: 2954","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -160*n*s**2 + 2*n*s - 33*s**3 + 4*s**2 + 13827*s wrt s.\nAnswer: -320*n - 198*s + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21850896.\nAnswer: 2, 3, 455227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(684\/361)*(-8)\/4.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 194321765 to the power of 1\/3, to the nearest integer?\nAnswer: 579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 51 = -11. Solve 3 = -w + i for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65208*u**3 + 195681*u**3 - 65261*u**3 - 65210*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -8*t + 75. Let x be (t\/(-10) + 2)*1. Let n(i) = i**2 - 6*i + 7. Let v be n(4). What is the closest to v in x, -0.1, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2180728 is divided by 30287?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1428302, -1428301, -1428300, -1428299, -1428298?\nAnswer: -1428297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/27*(-3 - 63\/(-15)). Which is the third biggest value? (a) u (b) -2\/67 (c) -0.3 (d) -0.2 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19778 is divided by 6584.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-4257)\/308 - -14 - 8\/(-14)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61524224 a multiple of 1139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17.692 + -1.308. Sort -1\/9, w, 3 in decreasing order.\nAnswer: 3, -1\/9, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 188*f**2 + 4. Let i(s) = -s**2. Calculate z(i(r)).\nAnswer: 188*r**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - o + 75 = 0, 2*j - 2*o = -18 + 36. Solve -j*q - 9 = 5*n - 11*q, -5*n + 5*q - 25 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 40, 0, -5, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 104 - -1976. What is the greatest common divisor of x and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -73 + 650. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/312376 and 37\/1171410.\nAnswer: 4685640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44304?\nAnswer: 2, 3, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -6 - -25) + -6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((8 - 1 - 0) + 1) - 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**2 + 0*h**2 + 2*h**2 - 5*h**2 + h**2 + 2*h**2 + (-6*h + h + 3*h)*(0*h - 2*h + 0*h) + 62*h - 7*h**2 - 62*h + 0 + 2*h**2 + 0 + 3*h**2 - 3*h**2 - h**2.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2718, -2730, -2756, -2802, -2874?\nAnswer: -2978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-70)*28\/(-238)*-17. Sort -0.1, -1\/56, v, -0.4 in increasing order.\nAnswer: -0.4, -0.1, -1\/56, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 41339, 82720, 124101?\n\"Answer: 41381*y - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -15376627?\nAnswer: -30753254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 8, -5\/7, 0, 0.2, -0.5, 5, 210.9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0447 + -0.5.\nAnswer: -0.4553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 5*p + 512840, 0 = -196*l + 194*l + 3*p + 205126. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - -13) + (-13)\/(13\/4). Let s be ((-30)\/75)\/(c\/10)*0. Solve 2*o + 3*w + 16 = s, -2*w - 6 = o - w for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 2:32 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 642274 and 118.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 + 24. Let l = 12 + y. Suppose h + l*w = 7*w - 9, w - 4 = 0. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110010101111110110 + 10000010?\nAnswer: 101110010110001111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l**5*n**2 - 7223097*l**4 - 83503*l*n**2 + 4*l*n wrt l?\nAnswer: -20*l**3*n**2 - 86677164*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19*a**2 + 19*a**2 + 22*a**3)*(-3*a + 1 - 1) as c*a**3 + g*a**2 + l*a**4 + k + o*a and give l.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 = 69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19740?\nAnswer: 2, 3, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-12)*265\/(156350\/(-25488)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = f + 3, -20*o + f = -170 + 255 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 10*z + 1. Let s(f) = -5*f**2 + 39*f - 4. Let h(p) = 2*s(p) + 9*x(p). What is the smallest common multiple of 8 and h(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/8*(-23 + -1). Suppose 0 = -3*i + 11*i - 32. Let s be (10\/i)\/((-20)\/(-96)). What is the greatest common factor of s and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6794989360 to the nearest integer?\nAnswer: 1894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.45 + 0.05. Let u = 22 + -25. What is the second smallest value in 0.06, f, u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*u, 4*u - 3*u + 4 = 4*i. Let -21*b**2 - 75*b**4 + 37*b**i - 65*b**3 + 20*b - 8 + 22*b**2 = 0. Calculate b.\nAnswer: -1, -2\/3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 5:22 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2430) - (sqrt(2430) - sqrt(2430)*-1))\/(-1*sqrt(10)*4).\nAnswer: 9*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8508 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4419057m to centimeters.\nAnswer: 44.19057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88 + 73 + 102 - 345 + 17*v + 82.\nAnswer: 17*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/3*7\/(-30)*178\/623.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 192 and 470336.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314\/4 + 11\/22 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnaappcaapcpak. Give prob of sequence anc.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - y - 10, -16*y - 8 = 5*b - 17*y. Is b at most -25\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*x + 621 = 108 + 53 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1482794.\nAnswer: 2, 263, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19713 is divided by 504.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/12 - (-290)\/6. Let c be (-3 - -4 - 10) + 1. Let z = h + c. Calculate the remainder when z is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*u - 6*u. Solve 0 = 4*v + 5*b - 25, -u*v - 3*b + 18 = -v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -8\/339?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from amggnggaaa. Give prob of sequence mggg.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**3 + 15*w**2 - 11*w + 11. Give s(7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 374 divide 5207150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 164377513 to the power of 1\/3, to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.585852 to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4537\/(-3141))\/(65\/(-15)))\/((-1)\/(-126))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*s + 3*s - 23123 = 11217. Suppose 3*a - 10 - 5 = 0. Suppose -a*y - 3*m = -s, 0 = y + m + 2*m - 190. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -207.069804 + -66.\nAnswer: -273.069804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -997*u**7\/35 + 978*u**3 - 3153*u**2. What is the derivative of j(q) wrt q?\nAnswer: -23928*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1501332933 to the power of 1\/2, to the nearest integer?\nAnswer: 38747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24330 is divided by (-8)\/(-36) - (11080\/42)\/(12\/(-14))?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3072 and 1152?\nAnswer: 9216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 - 32 + 54)*(-4*q - q + 3*q)*(-6 + 3 + 0)*(9 + 9 + 0) as o + n*q and give n.\nAnswer: 1512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3732937.\nAnswer: 13, 287149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - (-3 + (-3 - -7)). Solve 2*x = -d*w - 3, -4*x + 0*w - 11 = w for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -0.4, -1004, 0.3 in increasing order.\nAnswer: -1004, -2\/3, -0.4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5885157 to the nearest integer?\nAnswer: 2426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -257 - -257. Suppose 3*r = -g*r + 8157. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**2 + 6999*x - 14047*x - 14*x**3 - 1 + 7045*x to the form c*x**3 + d*x**2 + v*x + s and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, k: 7, j: 5, b: 1, y: 4, n: 2}. What is prob of sequence yjn?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0*x = 0. Let k = -2 - -6. Suppose -p - 17 = -k*i - 8, -2*i = 4*p - 18. Solve -3 = -x*b + i*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -16*q**2 + 91*q - 61. Let n(p) = -3*p**2 + 18*p - 12. Let j(c) = -2*i(c) + 11*n(c). Let w be j(15). Suppose 3 + w = 4*d. Is d equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1874989 or -1874984?\nAnswer: -1874984","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -294482*t**2. Let i(a) = -2*a. Give i(d(q)).\nAnswer: 588964*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 34. Suppose -4*n + 24 = 0, 3766*y = 3764*y + 4*n - 8. Calculate the least common multiple of l and y.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6887091, 13774193, 20661297, 27548403, 34435511, 41322621?\nAnswer: 48209733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41342386?\nAnswer: 2, 439, 47087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1441 = 5*g - 819. Let i = g + -220. Suppose 108 = 4*h - i. Is 17 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*((n*n*n*n*n**(2\/13))\/n*n)\/n)\/(n**(-2\/3)\/n)*n**1\/(n*n**(5\/4)) assuming n is positive.\nAnswer: n**(713\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -13*h - 7. Let c(n) = -7*n - 4. Let j be 15\/(-5) - (-3 + 1 + 11). Let m be (-2 + -4)\/12*j. Give m*o(t) - 11*c(t).\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 12, 6, -2, -12, -24, -38?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -802, -6337, -21276, -50293, -98062, -169257, -268552?\n\"Answer: -779*c**3 - 28*c**2 + 2*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5647584 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*j + 7871 - 5780 = 0 for j.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 42*u + 88 = -4*u. Let k(q) be the first derivative of -36*q + 0*q**u - 37\/3*q**3 - 32. What is the derivative of k(y) wrt y?\nAnswer: -74*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4*i**2 - 5*i - 4. Calculate the remainder when b(-3) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -435653 + -61?\nAnswer: -436044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/17 + 26*r**2\/17 + 322*r\/17 + 294\/17.\nAnswer: -2*(r - 21)*(r + 1)*(r + 7)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2*q, 5*m + 4*q + 2 = 30. Factor 8*h**3 - 6*h**3 + h**5 + 2*h**m - h**3.\nAnswer: h**3*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.451219mg in nanograms?\nAnswer: 451219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 27*q**2 + 163*q - 22. What is the lowest common multiple of 528 and a(-10)?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1028, -8338, -28190, -66854, -130600, -225698, -358418, -535030?\nAnswer: -761804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -4, 432 in ascending order.\nAnswer: -4, -2, -1, 432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = 15 - 9. Let l be (8 + (-12)\/4)\/v. Put -0.2, -0.5, 3, l in increasing order.\nAnswer: l, -0.5, -0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -88464 or -89170?\nAnswer: -88464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 8296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-7) + 1 - 1. Let f = -0.6 - 7.4. Let x = f - -6. Which is the nearest to 0? (a) x (b) 3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4328 is divided by 1358.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 42372\/13693?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-95)\/19 + 18\/(-2). Which is the fourth biggest value? (a) h (b) -3 (c) -0.2 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*n + 169*n - 39*n - 45*n - 39*n.\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4165\/140 - 30 - (-13)\/4. Suppose -6\/7*z**2 + 3\/7*z**d + 3\/7*z + 0 = 0. Calculate z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**4\/2 + 14625*r**3 - 71296875*r**2\/2 = 0 for r.\nAnswer: 0, 4875","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.16 times 0.056?\nAnswer: -0.51296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9701 + 145519\/15. Determine c, given that -j*c - 2\/15*c**2 + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 659*o - 252. Let n(k) = 508747*k - 194628. Let b(x) = -6*n(x) + 4634*y(x). Let u(z) = 9*z. What is b(u(f))?\nAnswer: 11916*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 70 = 40. Suppose 0*u + u + 2 = 0. Let a be (u\/(-96))\/((-3)\/j). Is a bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*h - 5*u - 3, -h = -3*u - 7. Is h less than 9\/46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (56 + 51 - 444)*(5 - 5 - 18*x) as n + m*x and give m.\nAnswer: 6066","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b. Let s(y) = -21971*y. Give r(s(x)).\nAnswer: 43942*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-100*i - 45*i + 1555*i + (5 + 3 - 6)*(2*i + i - 5*i))*(-2*i**3 + i**3 + 3*i**3) in the form l*i**4 + v*i**2 + d*i**3 + t + g*i and give l.\nAnswer: 2812","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 8:19 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7670662 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -26*w - 368. Calculate p(14).\nAnswer: -732","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.3 - -3034596864.\nAnswer: 3034596866.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 3*u + 110. Suppose 4*d - u + 10 = -5*o, 10 = d + o. Is 2 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*c + 106. Suppose 0 = c*r - 50*r + 24. Let b(n) = -n**3 - 9*n**2 - 11*n - 8. What is b(r)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(15) + (sqrt(1215) - sqrt(15)))*-3)\/(sqrt(35)\/(sqrt(7)*-2)))**2.\nAnswer: 8748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d = -13*d + 14. Suppose -d*r = 3*r + 30. Let o be (3\/r)\/(-5)*15\/(-6). Which is greater: -2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8 + 3*6\/(-9). Let z = 0 + w. Let s(v) = v**2 - 4*v - 4. What is the units digit of s(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*f - 149*f - 3*z - 42 = -82*f, -87 = 3*f + 6*z for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**3 - 7*k**3 - k**3 + (-4*k + 4*k + 2*k**2)*(k - 2 + 2) + 47*k**3 + 718*k**2 - 718*k**2.\nAnswer: 43*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 10:47 PM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, g: 6, r: 4, e: 1}. Give prob of sequence creg.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 89391 and 4860501.\nAnswer: 1077","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -18. Let x(p) = p**3 + 14*p**2 + 11*p - 18. Let m be x(j). What is the third derivative of 8*u**4 + 3*u**3 - 5*u**3 + m*u**2 + 2*u**3 wrt u?\nAnswer: 192*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13664 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -2, -83, 14, 1, 0, 5 in descending order.\nAnswer: 14, 8, 5, 1, 0, -2, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*n + 11*n + 10*n)*(-n - 2*n + 0*n).\nAnswer: -45*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4848*v + 48501. Calculate c(-10).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -y**5\/30 + y**3\/9 - y\/6 + 5. Let u(p) = 0. What is p?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1064606 is divided by 266151.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 510157?\nAnswer: 510157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10220 divided by -7?\nAnswer: -1460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21020021121 (base 3) to base 6.\nAnswer: -3015024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 - 4*y**2 + 3 - 3*y**2 + 1 + 10*y**2.\nAnswer: 4*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 3:23 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21\/2 + -269\/26. Let h be (-5)\/(-14) + (-2)\/4. Which is the third smallest value? (a) -0.2 (b) h (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93281, 186569, 279871, 373193, 466541, 559921, 653339?\nAnswer: 746801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 709 + (-1)\/(8\/(-2) - -5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 525079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -8. Suppose 3*j - 100 = -b*z, -46 = -3*z - j + 2*j. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 5*x**2 - 2*x - 6. Let u = -296 + 291. Calculate g(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9433 + 9431.765. What is m rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31.52 + -0.48. What is the fourth smallest value in -0.3, h, 3, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -2089?\nAnswer: 2085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3868 - -3867.8. Which is bigger: k or 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -4*q + 20, -q + 2*l - 5*l = -14. Suppose -2*o + 9 = o. Suppose o*m = -9, -2*v = -0*v + m - 7. Calculate the smallest common multiple of q and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1, -20, -41, -2 in decreasing order.\nAnswer: -1, -2, -7, -20, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/57 and -46\/42297411.\nAnswer: 803650809","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175)*3)**2 + sqrt(7) + sqrt(42)\/sqrt(6) + 0.\nAnswer: 2*sqrt(7) + 1575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + 2)\/((-3)\/(-8)). Suppose -38 = -2*p - a. Let x(k) = k**2 - k. Let t be x(6). What is the greatest common factor of t and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -1. Let n = 8 - 3. Suppose -5*v + 4*y = 6 + 5, -v = -n*y - 2. What is the nearest to i in -5\/4, v, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73166 is divided by 1453.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of b**3 - b**2\/2 + 2*b. Suppose 38*k + 4*k + 36 = 78*k. What is l(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 287 - 311. What are the prime factors of (-2355)\/(-9)*c\/(-20)?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51852278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7015578 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7\/4 - 2. Let d = -147 - -149.96. Let m = 0.96 - d. What is the fourth smallest value in u, -0.4, -0.5, m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -1\/8*a**4 + 0*a**2 + 2 + 1\/20*a**5 + 1\/12*a**3 + 0*a. Determine o, given that b(o) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*b - 4*b + 0*b)*(-723*b - 11*b**2 + 1449*b - 22*b**2 + 20 - 725*b).\nAnswer: -132*b**3 + 4*b**2 + 80*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (1 + -6) - 3) + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*t - 55 = 32*t + 57 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 17*y - 17. Let j be (-6)\/12*-46 - 8. Suppose -j*u - 675 = -2205. Let i(p) = -p + 1. Determine u*i(x) + 6*t(x).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxzxxxzx. What is prob of sequence xzzx?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.937326 litres to millilitres.\nAnswer: 5937.326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r + 7. Let p be i(-3). Let a be 0 - p - 6\/(-3). Let o = -1 + 1. Which is greater: a or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 794656 and 133152?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/3 + 40\/(-60)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2101928.4 milliseconds to days.\nAnswer: 0.024327875","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: Suppose -2*w = -3*w - 3*f + 14, -f + 4 = 0. Let n(l) be the third derivative of -3*l**w + 0*l**3 - 1\/72*l**4 - 1\/180*l**5 + 0*l + 0. Solve n(b) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -766156+-0.5\nAnswer: -766156.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (1 + 7) - (4 + -2 - -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 19*n - 22. Is 26 a factor of o(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -140*t**3 + 120*t + 120. Let v(x) be the third derivative of -x**6\/120 + x**4\/24 + x**3\/6 - 1428*x**2. Determine k(y) - 120*v(y).\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -16. Let n = -0.03 + -1.97. Let i = 1 + n. What is the closest to s in 1\/10, -2\/5, i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*q**3)*(2*q + 5*q - 5*q)*(-2 - 3 + 3)*(0*q + 8*q + 2*q).\nAnswer: -80*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zaazaazazaaaaa. Give prob of picking 1 a and 1 z.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*a = 2 + 14, 35 = 4*d + 5*a. Suppose 0 = 2*y + 4*c + d + 6, -y = 5*c + 20. Suppose 0*p = 5*p - 25. Solve -4*l - l + p = y for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-13 - -20) + (-10 - -2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -61 (b) 5 (c) 3\/4 (d) 4 (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - 0.1. Let t = 22 + -21.8. Let h(m) = 2*m - 17. Let w be h(9). What is the closest to t in j, -5, w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(-2\/9)*u)*u)\/u)**(-16\/7)\/(u*u\/((u*u**2\/u)\/u))**(9\/7) assuming u is positive.\nAnswer: u**(31\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4392243 and 51039.\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007499 to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 306, -3, 139, -2, -0.25 in descending order.\nAnswer: 306, 139, -0.25, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 44 = -2*g. Suppose -5*m = 3*s + 24, 0 = 5*s + 2*m + 32 - g. Which is the smallest value? (a) -1 (b) s (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 4 = -5*j. Let t be (-10)\/(-2) + -2 + j. Suppose -5*s = t - 42. Solve -2*h + h = 2*n - s, -1 = 4*n - h for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*n - 899*n = -32873 + 1238 for n.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 301*b*i**2 - b*i + 53*b + 36034*i**2 - 2*i + 608 wrt i.\nAnswer: 602*b + 72068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddgr when four letters picked without replacement from {d: 3, g: 1, r: 12}.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 75\/(-27) - 6\/27. Let b be (-308)\/(-78) + -1 + j. Let v be (-2)\/(-2)*-1 - -2. Is b > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 9:08 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -k + 2, -4*o + 0 = -3*k + 6. Suppose 5*z + 19 = 259. Suppose 23*r - z = 20*r. Calculate the lowest common multiple of k and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18.9 + -18. Let x = r - -4.1. What is the second smallest value in -1\/2, 4, x?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -281*x**5 + x**3 - 3*x**2 + 4*x?\nAnswer: -16860*x**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.774 - -0.774. Let v(l) = l**3 + 6*l**2 + 7*l + 7. Let a be v(-5). What is the biggest value in 1\/5, a, 3, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 - 245 = -8*d. Let j be ((-35)\/d)\/(-1) - 6\/15. Which is smaller: j or 2\/109?\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -2*n + 2*t, 52*t - 50*t + 9 = -5*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**2 + 9. Give y(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 217 and 11129?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 2501539 and 2501512 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 19 + -18 + (-1 - -3) + 2. Solve -27 = -z*g - 7 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -27\/10, 15, 44.\nAnswer: -27\/10, 4, 15, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 30\/73 and -24\/94973.\nAnswer: 94973","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.102227828 to four decimal places.\nAnswer: -0.1022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 13340438 = -5*f, 3*c + 11*f - 3804934 = 6200483. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**4 - 4*i**4 + 6*i**4)*(-4 + 3 + 5) + 844*i**2 - 844*i**2 + 59*i**4.\nAnswer: 83*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -61 + 61 + 3*f**5 + (-2*f + 5*f - 2*f)*(0*f + f**4 + 0*f).\nAnswer: 4*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 14*c. Let m(j) = -10*j. Let k(i) = 8*i. Let g(r) = 2*r**2 - 12*r - 18. Let y be g(7). Let n(u) = y*k(u) - 3*m(u). Determine n(v(f)).\nAnswer: -28*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j**2*j)*j)**23)**(-13\/5))**(-2\/7) assuming j is positive.\nAnswer: j**(-598\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-133*u + 3*u + 74*u)*(2 - 4 + 3) as f + c*u and give c.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/6*16*8\/(-32). Which is the nearest to u? (a) 3.6 (b) 4 (c) 9\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0013 and 0.45.\nAnswer: 0.000585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v\/((v\/v**(-2\/5))\/v)*v)))**(-7\/5)*((v**(1\/6)\/v)\/v)**(1\/11) assuming v is positive.\nAnswer: v**(-361\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -84*w**2 + 136*w wrt w.\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**4 - 1904*c**3 - 289080*c**2 - 11761200*c + 341401500 = 0. What is c?\nAnswer: -165, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4*sqrt(21)\/sqrt(3) + (sqrt(567) - (sqrt(567) + 0)) + -1)**2 + -5.\nAnswer: 8*sqrt(7) + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -1617*j - 1390. Let k be q(-5). Calculate the greatest common divisor of 65 and k.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(216)*3 + sqrt(24))*-2)\/(-1*(sqrt(72)*1)\/sqrt(9)))**2.\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -18. Is u at most as big as 1\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -70*n**3 + 7*n**2 + 18*n - 95. Let d be t(5). Let f = 1937 - d. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 635*v**2 + 61410*v + 716. What is t(-119)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 205093 (base 12) to base 5\nAnswer: 112201130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -10 + 2*m - 15 - 13 + 4. Let k be o(18). Suppose 2*d - 6 = 0, a - k*a - 2*d = -109. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 2*k - 6*k + 10, 4*w + 10 = -2*k. Let a be (3\/(-4))\/((-2)\/8). Let b(c) = c**3 - 4*c**2 + c + 4. Let y be b(a). Which is smaller: y or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -0.1, -4, 57, -0.4, -147 in increasing order.\nAnswer: -147, -4, -0.4, -0.1, 9, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -41417589*m. Let g(q) = q. Determine g(r(c)).\nAnswer: -41417589*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 269 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*l - 2*r - 2, 5*l + 4 = -4*r. Let a(m) = -m**3 - 10*m**2 - 9*m + 2. Let i be a(-9). Let y(j) = 0*j**i + 8 + 0*j**2 + j - j**2. Calculate y(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**5\/7 - 5*r**4\/7 + 2*r**3 - 2*r**2\/7 - 13*r\/7 + 1.\nAnswer: -(r - 1)**3*(r + 1)*(r + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/47 in 136, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38374 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, w: 3, v: 7, s: 3}. What is prob of picking 1 e and 2 v?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 488\/32 + 16*13\/52 and -23*(-3)\/(-18)*4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g - 88 = -5*g. Let y = 37 + g. What is the greatest common divisor of 75 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 2*k + 6, -2*c = -2*k - 7*c - 13. Let j be (6\/k)\/((-5)\/(200\/12)). Solve -10 = j*u - 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/(20\/8))\/2. Let w be (q - -1)*(-12)\/(-8). Solve -4 = 2*i - 2*l, w*i + i = -3*l + 20 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 509.3246 and 197.3013?\nAnswer: 312.0233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-700)\/(-160)*(-16)\/5.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-2 - -1 - 5) - 0 - -11?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 22*g**2 - 72*g + 73. Determine m(-25).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u. Let k(i) = i**2 + 8*i - 15. Let o be k(-9). Let p = 7 + o. Let m(x) = -x**2 + 5*x - 2. Determine p*m(t) + 6*z(t).\nAnswer: -t**2 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4165754.\nAnswer: 2, 43, 59, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 37268.9?\nAnswer: 37268.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 499375?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(5720*v**3 + 35*v**4 - 5720*v**3).\nAnswer: 70*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*h - 65*h = -1129 - 1341. Calculate the highest common factor of 130 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14887 and -3.\nAnswer: -44661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -x**4 - 166*x**2 + 12*x + 1989?\nAnswer: -4*x**3 - 332*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2475200 to the nearest one hundred thousand.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -4*y + 5*y - 2*f, 4*f - 24 = 4*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -t**8\/504 + 4*t**7\/315 - t**6\/30 + 2*t**5\/45 - t**4\/36 + 30*t**2. Factor l(f).\nAnswer: -2*f*(f - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d. Suppose -3*z + 48 = -108. Let r(w) = -235 + 235 + 18*w**2 - 26*w. Let a(v) = 2*v**2 - 3*v. Let h(x) = z*a(x) - 6*r(x). Determine g(h(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -14e7b9 (base 16) in base 8?\nAnswer: -5163671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1989\/6188*(-32)\/(-12).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.70008 years to months.\nAnswer: 1100.40096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - j**2 + 2*j - 1. Let v be k(1). Suppose -v + 6 = -o. What is the closest to -0.1 in 1, -2\/3, o?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (15\/12)\/(3\/12). Solve 0 = -0*j - 3*j - v, q*j = 2*v for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 1 = -5*g, 156*g = 2*h + 154*g - 14 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 0) + (38 - 33).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2*i + 10 = 0, -3*f - 5*i - 15 = 2*f. Is -5 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 589 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/12 and -21\/2169973 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22703 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*y = 19, 35 = 3*z + z - 5*y. Suppose -9 = -4*x - z*x. Let g = -160 + 3355\/21. Is g at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j. Let b(t) = -227*t**2 - 3. Let z(q) = -2496*q**2 - 32. Let h(g) = -32*b(g) + 3*z(g). Determine h(n(a)).\nAnswer: -224*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/4)\/((-423)\/1269)*20\/6.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11010111 (base 2) in base 14?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 20940, 21095, 21348, 21693, 22124, 22635, 23220?\n\"Answer: -k**3 + 55*k**2 - 3*k + 20889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6071138*g**2 - 49611294*g wrt g.\nAnswer: -12142276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-49)*(-695)\/973*(-14)\/50?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d + 3*f + 20, -2*f - 3*f = 2*d + 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**5 + 57*d**4 + 96*d**3 - 8832*d**2 + 67584*d - 159744.\nAnswer: -3*(d - 8)**4*(d + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -3*q**2 - 54*q - 243 = 0.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 853?\nAnswer: 858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -17684144, -17684142, -17684140, -17684138?\n\"Answer: 2*m - 17684146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -4*d + 36. What is the remainder when d is divided by (-356)\/(-36) - 2\/(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, s: 1, n: 2, g: 2}. What is prob of picking 2 g and 1 s?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 13) in base 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (s**3 + s**3 - s**3)*(-2*s - 2 + 2) + 19*s**3 - 19*s**3 + s**4 - 17*s**4 as i*s + w*s**4 + k*s**3 + o + h*s**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millisecond in microseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -627*y**2 + 3272*y**4 + 2 - 834*y**2 + 1450*y**2 - 23*y wrt y?\nAnswer: 78528*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*l + 18584944 = 18590044 for l.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -o**3\/6 + 251*o. Let w(t) be the first derivative of 4*t**3\/3 + 1. What is m(w(c))?\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -448 + 446. Is -0.001 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -945702 divided by -2241.\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2492 - 0.4492. Let x be 33\/(-44)*(-22)\/(-3). What is the nearest to l in 4, x, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -169 - -145. Suppose 2*t = -4*t - 24. Do y and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13508 - -13507.87034. What is j rounded to two decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 42 or 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 0*i - 16 = -2*y, i = -3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {n: 6, i: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1717 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ug when two letters picked without replacement from nhgyfgu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 260342 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -124444.939 - -124589. Let k = -144 + y. Round k to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(5*sqrt(363) - sqrt(3)) + sqrt(44)\/((sqrt(24)*1)\/sqrt(6)).\nAnswer: 55*sqrt(11)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 9152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40004080 divided by 80.\nAnswer: -500051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 356, -4, -10 in decreasing order.\nAnswer: 356, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10380259 rounded to the nearest 10000?\nAnswer: 10380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.18 + -1.82. Sort -0.2, f, 4 in ascending order.\nAnswer: f, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sm when two letters picked without replacement from {m: 13, s: 5}.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(2\/27))\/a*a)\/a*a\/(((a\/(a*a*a\/a**(-2)*a*a))\/a)\/a*a))**(-48) assuming a is positive.\nAnswer: a**(-3424\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + 46 - (-17)\/((-51)\/36) - (-35)\/(-11)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -28. Suppose z - 18 = 4*z. Let k(m) = m. Let s(q) = -11*q**2 + 3*q + 2. Let t(p) = -3*k(p) + s(p). Let h(g) = 5*g**2 - 1. Give y*h(o) + z*t(o).\nAnswer: o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 12 = 11*z. Let f(c) = -11*c + 3. Let m(p) = 21*p - 6. Let d(k) = 9*f(k) + 5*m(k). Let h be d(2). Calculate the greatest common factor of z and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 0*f. Let m = -1 + -1. What is the nearest to f in m, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -1. Suppose -g - 3*g = r. Solve g = -0*p - p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2*((sqrt(1573)*-2 + 1 + sqrt(1573) + sqrt(1573) - -2*sqrt(1573)*1)*2 + 5) + -1.\nAnswer: 15 + 88*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3904 - 469 = -91*i - 3005 - 112 for i.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -15013, -30018, -45025, -60034, -75045, -90058, -105073?\n\"Answer: -q**2 - 15002*q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 11913 and -0.11?\nAnswer: 11913.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0 (b) -4 (c) 3052\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 64\/3 - 23. Which is smaller: -2 or g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 23605 = 23685 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 385617 - 10?\nAnswer: 385607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.512 - -8.1. Let t = 0.028 - k. Let s = t + -0.44. What is the third biggest value in s, -0.3, -2\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 470443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/5 - 2\/(-10). Suppose 2*k + k = 5*f, z = f - k. Sort f, -1, -3.\nAnswer: -3, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 448.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 31*u**2 - 125*u - 6715. What is x(-19)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 807 is divided by 75?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of v**4\/12 + 5*v**3\/6 + 2*v**2 + 2*v - 2. Let r(c) be the first derivative of p(c). Is r(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15 + 0 - 5)*(18*z - 34 + 34 + (1 - 3 + 3)*(-3 + 3 + 2*z) + 2*z + z - 2*z) to h*z + m and give h.\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/17, 7\/12, -3, 4?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 157473471 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (258\/(-301)*-14)\/((-3)\/(-6))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/8)\/(2\/((-16)\/(-2))). Let f(k) = -k**3 + 3*k**2 + 4*k + 5. Let r be f(4). Let m = l + r. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 7938 = -29*h. Let y = -326 + h. Let i(q) = -q**3 - q + 27. What is the remainder when y is divided by i(0)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ptve when four letters picked without replacement from {b: 1, v: 1, i: 2, p: 1, t: 2, e: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/9545479 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-4) + 2)*10\/(-24)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110286181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0298730714 to six decimal places.\nAnswer: -0.029873","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -814*0.034\nAnswer: -27.676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 12:08 PM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98310 is divided by 24520?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 295, 17, -2605, -9329, -21913, -42115?\nAnswer: -71693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -37772?\nAnswer: 37774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -438 (b) -1 (c) 2\/11 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 2b?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7221.\nAnswer: 3, 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50131\/2811 + -1\/1874. Let h = -5\/28 - 981\/308. Calculate the common denominator of h and r.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**3 + 33*g**2 + 41*g + 7. Let x be d(-1). Let s be 2\/54*(9 - 10). Which is the second smallest value? (a) x (b) -7 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/212625 and -133\/108000?\nAnswer: 6804000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 14. Factor 0*t**2 - t**4 - t**3 - t + t**2 + 2*t**3 + 0*t**w.\nAnswer: -t*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15645841 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 726199 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 258121?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-11)*g*g**5*(g\/(g*g**(2\/3)))**(4\/5) assuming g is positive.\nAnswer: g**(-83\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(171)*-1)\/(sqrt(900) + 1*sqrt(900)))**2.\nAnswer: 19\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-140160)\/1460 - (-36 - (-2)\/2)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 28*q**2 - 80*q + 16. What are the prime factors of o(-18)?\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/(-4) - ((2 - 1) + -10019). Let t = y - 100319\/10. Calculate the common denominator of -61\/28 and t.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259485 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -14*b - 388. Determine m(-27).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-1\/21)\/y))**(-34)*y**(-3\/2)\/y*y\/(y**(-30)\/y) assuming y is positive.\nAnswer: y**(-1685\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -6*t**2 + 260*t - 80. Determine c(43).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23545 is divided by 5886?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 7289504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 527*d + 18903. Determine n(-34).\nAnswer: 985","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.588 + -0.012. Let h = 6.4 + u. Let i = -0.4 + h. Which is the closest to -1\/3? (a) i (b) -1\/4 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2*h + 5)*(3 - 4 + 3 + (1 - 1 + 2)*(3 - 6 + 4) + 1 - 1 - 2 + (0 - 2 + 1)*(2 - 3 + 2) - 3 + 1 - 1)*(h - h - h).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10642 and 748?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 81.45 from -11686311.\nAnswer: -11686392.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of j**5\/30 + j**3\/3 - 6*j**2. Let q(r) = 2*r**2 + 2. Determine 6*q(g) - 5*w(g).\nAnswer: 2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1328387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = 3*v + 3*y - 336, 0 = -4*v - 2*y + 258. What is the greatest common divisor of v and 171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 6:03 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4*j**3 - 111*j**2 + 86*j - 17. What is m(27)?\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -2*x - 20. Let v = -4693\/68 + 1169\/17. Which is the nearest to -2\/5? (a) 1\/2 (b) v (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w + 64. Let d be q(31). Suppose -3*k - 3 = -d*m, -k - m = 4*m - 16. Solve -f - k - 4 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 96*c + 2107. Determine q(34).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yunyowowwuoj. What is prob of picking 2 y and 1 j?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 2. Suppose p*k = -6 + 16. Solve -h + 7*z = 2*z + 6, h - k*z = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101468 < 101470?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.04 + -0.34. Let a = 11253\/1345 + 9\/269. Let z = -173\/20 + a. What is the nearest to z in 5, -2\/5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 4*i**3\/5 + 7004*i**2 + 1151168*i\/5 - 1186192\/5 = 0.\nAnswer: -8722, -34, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**2 + 3*d**2 + 2*d**3 + (-6 - 4*d + 6)*(-1 - 2*d**2 + 1))*(-3748509*d + 3748509*d + 4324*d**2).\nAnswer: 43240*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**3 + 3*f**2 - 39*f + 41*f + 2*f**3 in the form a*f**2 + u + k*f + j*f**3 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -9*f**3 + 3*f**2 - f - 4. What is q(2)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 134 + -138. Let t be (8 - -2)\/(-5) - 1*w. Solve t*n - 3*j = -2*n + 32, 2*n = 2*j + 18 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-4))\/(-2*(-1)\/2).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -583?\nAnswer: 1166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 6445*r + 116342. What is y(-18)?\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 0 (b) 20 (c) 0.03 (d) -163\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 8*x + 18. Let u(l) = 8*l**2 - 14*l - 6. Is u(x) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 5*u**4 + 5170*u**3 - 182715*u**2 - 1235340*u - 1922400 = 0?\nAnswer: -1068, -3, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**5 + 12*s**4 - s**3 - 12*s**2 - 5*s + 5. Let g(q) = -6*q**4 + 6*q**2 + 3*q - 3. Let a(k) = -3*d(k) - 5*g(k). Let a(u) = 0. Calculate u.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 159921?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*l**3 + 21099753*l**2 + 462417106 with respect to l.\nAnswer: 9*l**2 + 42199506*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or 13160555?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 17, -462, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvddsy. What is prob of picking 1 v and 3 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 3*y - 14, 3*y = 104*s - 100*s + 20 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -7*u**5\/5 - 54*u + 42. Find the first derivative of j(i) wrt i.\nAnswer: -28*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 22*x + 104. Let i be y(5). Let b = 23 - 14. Let m = i - b. Is m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1102072 by 551036.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 546\/5179?\nAnswer: 546\/5179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -l**5\/60 - l**4\/4 + 13*l**3\/6 - 1030*l**2. Determine d(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-115*a + 2680 - 2680)*(0 + 2 - 1)*(-5 + 2 + 1)*(-2 - 2*a + 2)*(-1 + a + 1).\nAnswer: -460*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 7:45 PM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6529 is divided by 1604?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-242)*(30\/(-75))\/(197\/(-394))\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5\/6 (b) 1\/6 (c) -0.5 (d) -3 (e) -11254\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3507, 2977, 1997, 567, -1313?\nAnswer: -3643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0863632 from 0.5.\nAnswer: 0.5863632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 519.7293 grams in micrograms?\nAnswer: 519729300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 1. Suppose g = -5, -15*w + 12*w - 16 = d*g. Solve -3*t + 2*t - w = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + -119?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5292 and 12.\nAnswer: 5292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 - 3*p**2 + 2*p**2)*(2*p - 3*p + 0*p) + (-4*p + 2 - 3*p + 5*p)*(14329 - 14329 + 166*p**2).\nAnswer: -329*p**3 + 332*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 2 m, and 1 r when four letters picked without replacement from dmdmmcpprdm?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 75\/7 - 2\/(-7). Suppose 2*h = 4*h - 2*d, -5*h - 5*d + 40 = 0. Let r = h + 84. Calculate the greatest common factor of o and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from crcrrccrccccrccc. What is prob of sequence rcr?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and 0.1479?\nAnswer: 2.1479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of 0 + 0*p**2 - 2*p + 1\/12*p**4 + 0*p**3. Let h(g) = -5*g**2. Calculate h(s(d)).\nAnswer: -5*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r + 4. Let j(y) = -y**2 + 7*y + 3. Let w be j(7). Let p(n) = 0 + 2 + 1 - w*n. Let b be 2*(-2 + 14\/4). Give b*p(a) - 2*g(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*s**3 + 88*s**3 + 27*s**3.\nAnswer: 131*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 7 - 4. Let c(k) = k**3 - 2*k**2 - k + 1. Let n be c(2). Calculate the remainder when 3 is divided by (n - 0)*(o - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*f**2 - 37*f**2 - 13*f**3 - 39*f**3 + 61*f**2 + 43*f**2.\nAnswer: -52*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 214 = -2*u + 2260, -1027 = -i + 3*u. What is the lowest common multiple of 20 and i?\nAnswer: 5120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(225)*-6)\/(sqrt(363)*2 + sqrt(3) + sqrt(18)\/(-1*sqrt(6))).\nAnswer: -45*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 250*k**4\/9 + 170*k**3\/9 - 88*k**2\/9 - 8*k\/9 = 0.\nAnswer: -1, -2\/25, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -13*f**2 + 9*f. Let w(r) = -3*r**2 + 2*r. Let y(n) = -4*v(n) + 18*w(n). Let u(z) be the first derivative of -3*z**2\/2 + 249. Give u(y(s)).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -0.1 (c) -44 (d) -3\/5 (e) 3 (f) -2\/171\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14757.\nAnswer: 3, 4919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*5\/25 - 1. Suppose m = -4*o - 4*v - 4, -4*o + 2 = -2*v + 6. Is -14\/15 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*d**2 + 51*d**2 + 12*d**2 + 43*d**2 + 1.\nAnswer: 129*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050308 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 8 = -5*h, -3*h + 3 = -15*n + 17*n. Solve 0 = -2*m + c, -11 + 12 = -n*m + 2*c for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 259 - 91 = 0. Let r(o) = 84*o - 3 + 27 - p. Let x(n) = 2*n**2. What is r(x(k))?\nAnswer: 168*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 258105862 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 441?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1662)\/(-25207)*1\/((-40)\/(-70))?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -5*v**2 - 16*v + 132. Let r be g(-2). Solve -r*q + 8*q = -20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(105)\/(sqrt(189)\/sqrt(3)))\/(sqrt(10)\/(4*sqrt(8)\/sqrt(4))))**2.\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 2 - -16 - 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2 + 7*t - 22. Determine w(9).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -120893184 divided by -472239?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, w: 3, b: 2}. Give prob of picking 1 d and 2 b.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2382122 is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3146076 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1148115 - 2\nAnswer: -1148117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.943*-17020\nAnswer: 16049.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000169 rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v + 34255 = -60536. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a + 91. Let o be w(0). Let i(x) = -41*x + 372. Let j be i(7). Suppose -j - o = -8*s. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6296587 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 4*f - 15947, 2 = -2*f + 4. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 631190 * -639\nAnswer: -403330410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 473 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15192, 15236, 15310, 15408, 15524, 15652, 15786?\n\"Answer: -m**3 + 21*m**2 - 12*m + 15184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v + 6 = 25*v. What is the least common multiple of v and 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/5 + (-22)\/10. Let i be (5 - 1) + (g - -4). Suppose -i*y = -9*y + 2091. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - j + 15897, 5*j - 8*j = -15. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*c**4*y - 372*c*y - 41*y wrt c?\nAnswer: 8*c**3*y - 372*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**6\/120 + l**5\/20 + l**4\/12 + l**3\/3 + 5*l**2. Let y be n(-2). Suppose -y*d = -0*d. Sort 2, d, -4 in ascending order.\nAnswer: -4, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 - 223*i - 908.\nAnswer: (i - 227)*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 295.\nAnswer: -147.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29.3 - -0.5147646882.\nAnswer: -28.7852353118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*n - c + 545995, 2*n + 3*c - 545985 = 0. What is n rounded to the nearest ten thousand?\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29*17.\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 19 - 11 = 0. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/12)\/(1\/2*-1). Let k = d + 0. What are the prime factors of ((1 + 0)*k)\/(16\/(-1424))?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -498*p - 3649. What is d(-8)?\nAnswer: 335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*c**3 - 46521660*c**2 - 33816632452848*c + 8454161020816.\nAnswer: -4*(c + 1453802)**2*(4*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2 + 5 - i**3 - 1. Let u be l(2). Let g be 2\/2*(u - -3). Are g and -7\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-1)\/n))**47*(n\/((n\/(n*(n*n\/n**(-9))\/n*n))\/n))\/(n*n**(-6)) assuming n is positive.\nAnswer: n**159","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6363 and 90336.\nAnswer: 191602656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (26\/(-39))\/((-140)\/12)\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 124346729 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 35920191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-112)\/140)\/(((-4)\/35)\/2). Put k, -5, 3 in decreasing order.\nAnswer: k, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 + 39 + 38)*(-3 - 446*j + 450*j + 0).\nAnswer: 392*j - 294","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 786324 and 505494?\nAnswer: 7076916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 66044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-3) + (-155)\/(-15). Let k be ((-4)\/(-12))\/((-1)\/(-9)). Suppose -a = w - k*w. Sort w, 1, -5 in decreasing order.\nAnswer: w, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*q - 8 = 0, 2*f + 2*f + 4*q = -24. Let w be f\/(-52) - 420\/1547. What is the biggest value in 64, w, 1?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3*c = 225, b - 4*c - 6 - 78 = 0. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.2 (b) 0.5 (c) -5 (d) -1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -40744 divided by 40744?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -7*u**4\/2 - 26*u**3\/3 - 17*u**2\/2 - 6*u + 35. Let z(v) = -5*v**3 - 9*v**2 - 6*v - 2. Let r(g) = 6*a(g) - 17*z(g). Give r(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1572630714 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*x**3 + 23087171377*x - 23087171377*x.\nAnswer: -23*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -460a92 - 4?\nAnswer: -460a96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z - 4*c + 37, 0 = 2*z + 2*z - 5*c - 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 1 + 1)*(-3 - 2 + 3) + (5*y + 430 - 3*y - 423)*(18 - 41 - 3).\nAnswer: -56*y - 182","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/12323 and -11\/10.\nAnswer: 123230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 13*u + 26. Let v be n(-11). Calculate the highest common factor of v and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1373*c + 1001*c + 3595*c + 2283*c + 1291*c)*(2*c**3 - 5*c**2 + 5*c**2) as p*c**2 + r*c**4 + u + x*c**3 + l*c and give r.\nAnswer: 13594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -668, -1345, -2024, -2705, -3388?\nAnswer: -4073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2485 - -3356?\nAnswer: a91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6641582, -13283162, -19924740, -26566316, -33207890, -39849462, -46491032?\n\"Answer: n**2 - 6641583*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/9 (b) -2 (c) 13226 (d) 0.07 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.812433 + -0.84777. What is r rounded to 3 dps?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 - -6. Let r = 29.13 - l. Let j = -0.37 - r. Put -3, -0.4, j in decreasing order.\nAnswer: -0.4, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o*o**2*o))\/(o\/(o*o*o**(-5\/2)*o))*(o**(-3\/2)*o)**(-14))**(-29) assuming o is positive.\nAnswer: o**(-145\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/220853 and -53\/16383.\nAnswer: 28490037","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {g: 2, l: 2, o: 5}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 381*l**3 + 370*l**3 + 1.\nAnswer: -11*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -193515 * -0.3\nAnswer: 58054.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -36, -50, -64?\n\"Answer: -14*v - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.345 take away 61121894.8?\nAnswer: -61121894.455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97287917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 84\/(-56)*(0 + 10). Let v(l) = -l**3 - 14*l**2 + 16*l + 15. Let o be v(y). Which is smaller: o or -11\/30?\nAnswer: -11\/30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 962.6215 nanometers to meters.\nAnswer: 0.0000009626215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -0.07. Let a = t + 0.06997. What is a rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r + 7. Let p be n(-12). Let h(d) = d**3 + 5*d**2 + 2*d + 6. Let u be h(p). Let s(l) = -l - 4. Give s(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2655*o + 4. Let z(d) = 5315*d - 7. Determine -9*s(v) - 5*z(v).\nAnswer: -2680*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 11*w - 12. Calculate a(-11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*f - 24 = 0, 3*a = 2*a + f + 6. Let v be a - (2 + (-2 - -43)). What is v rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/938 and 86\/8673?\nAnswer: 1162182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**2 + k**2 + 4*k**2 + (6*k - 3*k - 2*k)*(-3*k - 3*k + 25*k + 2).\nAnswer: 21*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 2\/11, 399?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10001 + -212020202111020?\nAnswer: -212020202101012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-20)*(-10 - -3) - (-2)\/(-20).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 373, 371, 369, 367, 365?\n\"Answer: -2*l + 375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -73 + 123. Let b(q) = q**2 - 2*q - 3. Let t be b(3). Suppose t = -2*y + y + x. What is the greatest common factor of y and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -18 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0215 + -0.2215. Let f(n) = -2*n + 3. Let o be f(2). Which is the closest to o? (a) -1\/2 (b) -44 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 45695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1861\/4 + 465. What is the closest to y in 5, 0, 1\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3120.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -5*h**2 + 119*h - 83. What is m(23)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 86080009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -49*y + 61. Let t(u) = 164*u - 182. Calculate -10*j(k) - 3*t(k).\nAnswer: -2*k - 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*o - 346 - 34 = 0. Solve 3*n + 11 = o for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30 - 202?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70343*q**3 - 35106*q**3 - 35245*q**3.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 86\/(-215) + 2\/30.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1500 = 28*a - 23*a. Does 38 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -8 + s**2 + 25*s - 5*s + 5 - 9. Let m be k(-21). Differentiate 18*z**3 + m + 10 - 5 wrt z.\nAnswer: 54*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (58 - 20) - -6?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k = 3*x - 50, -96*k + 30 = -93*k + 3*x for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 24*z**2 + 23*z - 45. Suppose -f = -2*n + 19, -f - 47 = f - n. Let g be p(f). Put -3, -2, g in ascending order.\nAnswer: -3, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -103\/3 in -5, 2\/3, 0.3, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g + g**2 + 3*g - 3*g**2 + 3*g**2 - 2*g**2 + 0*g**2 + g**2 - 2*g**2 - 2*g**2 - 3*g**2 - 3*g**2 + (-2*g + g + 0*g)*(-2*g - g + g).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 176 and 20108?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-9)\/5)\/((-15)\/50). Suppose -z + b*z + 2 = -x, z - 6 = 3*x. Let u be 6 - (-3 - x)*-2. Solve 3*v + v - 8 = u*a, 0 = 5*v + 4*a + 35 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i**(-9\/2)\/i)\/i)\/i)\/i**(-2\/17) assuming i is positive.\nAnswer: i**(-183\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15063 and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 11:42 AM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 26, -4 in descending order.\nAnswer: 26, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 21\/(-6)*12\/(-21). What is the third derivative of -3*o**2 - 3*o**6 - 4*o**d + 5*o**6 + 5*o**6 wrt o?\nAnswer: 840*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 74 + -70. What is the derivative of 20 - 6*f**r + 32*f**4 - 49 wrt f?\nAnswer: 104*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-25))\/c)**(-5))**(-5) assuming c is positive.\nAnswer: c**625","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1 (b) 0.2 (c) 2\/15 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*m - 6*m - 1003. Suppose 0 = -3*l + 3*c + 72, -5*c - m - 38 = -4*l. Calculate the remainder when 67 is divided by l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = n, 4*u - u - 33 = -3*n. Is 8 equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f - 2942355 - 6356645 = 0. Round f to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/42)\/((22464\/78)\/(-48))\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 720 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 158 and 624574?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -u + 10, 2*z = 2 - 0. Calculate the least common multiple of 148 and u.\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 w when four letters picked without replacement from wiiiiiiiiiiiiii?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 3:23 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -64 and -3170.1?\nAnswer: 202886.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -577 (b) -4 (c) -0.5 (d) 7\/5 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34077730 by -2.\nAnswer: -17038865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.515951l to millilitres.\nAnswer: 6515.951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 3) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22524 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 244 a factor of 290176268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1387 at least as big as 1501?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 - 3*z + 3*z)*(-2*z**3 + 2*z**3 - 3*z**3 + z**3 - 3*z**3 - z**3 + (2*z + 0 + 0)*(2 - 2 + z**2)).\nAnswer: -8*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*l**2\/7 + 78*l\/7 + 34\/7 = 0 for l.\nAnswer: -1, -17\/22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202*r = -237*r - 15*r. Which is bigger: r or 5\/412?\nAnswer: 5\/412","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k - 3 - 11 + 3 + 3*k.\nAnswer: k - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = d - 13, -3*j = j - 16. What is the tens digit of (6 - 4) + 74 - d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1032, 1002, 958, 894, 804?\n\"Answer: -o**3 - o**2 - 20*o + 1054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(204)\/(sqrt(12) + sqrt(12) + sqrt(12)*-1 + sqrt(12)) + -1)*-4.\nAnswer: -2*sqrt(17) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 64. Let j = f - -50.9. Let d = -5.5 - -6. What is the nearest to 2\/5 in 19, j, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, 0.5, -63, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4274954451?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 136 and 112423496?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4*c - 3*c - 2*c)*(9 + 2 + 5) + c + 4*c - 4*c)*(2 + 4*c - 2) + (2*c - 2*c + 2*c)*(4*c + 0*c - 2*c) as i + n*c + w*c**2 and give w.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - x + 2563, 2*b - 2*x - 481 = 803. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - 11*q - 1. Let s be b(11). Let x = 7 + s. Suppose -4*o + x*n - n + 23 = 0, n = -3*o + 3. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2364600 to the nearest 100000.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (7 + (-5 - (18 + -3)))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -1441*g**5\/10 + 13*g**3\/3 + 4*g**2 - 3312*g. What is the second derivative of m(x) wrt x?\nAnswer: -17292*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 - 3*r**2 + 2*r**2)*(-r**2 - 2*r + 2*r) - 3*r**2 - 2*r**4 + 3*r**2 - 278 - 7*r**4 + 278 - 40*r**2 - 45*r**2 - r**4 + 84*r**2 - 5*r**3 + 1.\nAnswer: -9*r**4 - 5*r**3 - r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 - 14684?\nAnswer: -14683.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/75656 and 151\/294.\nAnswer: 226968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 57 + (-10829)\/343 + (-4)\/(-7)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 5*g - 513. Let m = 191 - g. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 68 + -45. Let z = o + -25. Which is the third smallest value? (a) 0.4 (b) z (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, e: 1, l: 2}. What is prob of sequence lue?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-75)\/(-750)*64\/(-108))\/(-4)?\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*w - 41*w - 3618 = 0. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.184 times 0.452\nAnswer: -0.083168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294946834.\nAnswer: 2, 7, 13, 31, 61, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -1. Let b be 0*3\/m - -25. What are the prime factors of (-3)\/(-15) - (-620)\/b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2723*q - 458504 = -8919*q for q.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -507*v**3 - 37 - 520*v**3 - 510*v**3 + 1553*v**3 + 10.\nAnswer: 16*v**3 - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 (base 15) in base 12?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 17 = -3*d. Let t = -37.25 - -39.25. Which is the nearest to t? (a) -1\/2 (b) -2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11286681.21s to weeks.\nAnswer: 18.661840625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -16.4*-18\nAnswer: 295.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-17303)\/165 + (-2)\/15. Let n be (-4)\/(-10) + 847\/t + 7. Let m = -0.02 + 0.22. Which is the smallest value? (a) m (b) n (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*j**2\/5 + 732*j - 2460 = 0. What is j?\nAnswer: -410, 10\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/8)\/((-390)\/(-52)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - w - 4*w + 13, 2*i + 5*w = 19. Let d be -1 - 6\/(-1) - i. Suppose c - d*z = -6*z + 12, z - 4 = 3*c. Solve c*x = 2*q - 3*x, -4*q - 4*x = -20 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 503373011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361 is divided by 123.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 7*i - 14 = 0. Let g(c) = 10*c**2 - c + 5247*c**3 - i*c**2 - 6 + 42254*c**3. Let k be g(-2). What is k rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2821 or 1?\nAnswer: -1\/2821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -5)*(-5)\/4. Let l = s - -10. Suppose -4 = -3*m + b + b, l*b + 17 = 4*m. Sort -4, m, -5 in decreasing order.\nAnswer: m, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = q - 12. Suppose 0*p - 4*p = 4*u - 36, 31 = 4*u + 3*p. Suppose 3*r + t - 16 = 2*t, u*t + 4 = 0. Solve q*a + 1 = r for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*w + 3. Suppose -3*t + 21 = -2*l + 3, w*l = 3*t - 27. Determine j, given that 0*j**2 - 1\/2 + j**3 - j + 1\/2*j**t = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -2\/11 (b) 86\/683 (c) -6 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o - 11256*o**2 + 40 + 11240*o**2 + 13*o - 40.\nAnswer: -16*o**2 + 10*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 - -20. Solve -2*p - p = m for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -15. Suppose -v = -5*v + 3*k + 5, -d*v = 5*k - 40. What is the remainder when v is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/3)\/h*h**2)**(-45) assuming h is positive.\nAnswer: h**(-75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - (-51)\/(-15) - 37\/(-5). Suppose 2*g - 8 = 2*r, -5*r - 5 - s = 2*g. Let j(w) = 4*w**2 - 2*w + 1. Determine j(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3231.749 minutes to seconds.\nAnswer: 193904.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*z = 38*z - 320 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4293, 7701, 11107, 14505, 17889, 21253?\n\"Answer: -c**3 + 5*c**2 + 3400*c + 889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 4*w - 12 = 2*c, -1515*w + 1520*w + 30 = -5*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*w - 3472 = 88, -3*w + 693 = q. Calculate the lowest common multiple of 16 and q\/30 + 6\/15.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + -1)*(-9)\/(-27)*7. Let c be (-26)\/s - 2\/(-7). Solve 4*l = -4*z + 3*z, -5*z - c*l = 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/(-48) + 20072\/832.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 7*b**2 + 3*b - 1. Let r be m(-5). Calculate the greatest common factor of 85 and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -77 + 529. Let t = v - 127. Calculate the remainder when t is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69319853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 193*u. Let p(w) = 20*w. What is q(p(a))?\nAnswer: 3860*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -5. Suppose -d = -c - 13, -a*c + 23 + 15 = 5*d. Calculate the remainder when (116\/(-8))\/(1\/(-2)) is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*u**3 + 2*u**2 + 0*u**3 - 2*u**3 + (-u**2 + u**2 + 2*u**2)*(-19 + 19 + 25*u).\nAnswer: 56*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27942*l*t**3*x**3 + l*t**3*x - 2*l*t**2*x**2 - l*t*x**3 - 1150*l*t*x + 2*t**3*x**2 + 2 wrt x?\nAnswer: 167652*l*t**3 - 6*l*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m**5\/13 - 74*m**4\/13 + 12*m**3\/13 + 230*m**2\/13 + 148*m\/13 = 0. Calculate m.\nAnswer: -37\/2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -2.92. Let c = -3.927 + 4. Let g = c - f. What is g rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74898 and 3798.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(9\/6 + -1). Let m(n) = 2*n**2 + 14*n - 20. Let q(r) = -r**2 - 7*r + 10. Let c(i) = 3*m(i) + 7*q(i). Let b be c(-8). Solve 0*p - b*p = -k for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -2886\/7, -2, -0.1, 1, -3 in ascending order.\nAnswer: -2886\/7, -3, -2, -0.1, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of u**6\/12 + u**5\/30 + u**4\/6 - u**3\/2 + u**2 + 61*u + 26. Let d(a) = -9*a**3 - a**2 - 3*a + 2. Give 4*d(s) + 3*g(s).\nAnswer: -6*s**3 + 2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbmbvmbv. What is prob of picking 2 m?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1737 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2, -2\/21, 1\/41?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 22604 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 >= -9452877?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -439 or -438?\nAnswer: -439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 31*z**3 + 48*z**2 - 6*z + 79. Let q(a) = 91*a**3 + 136*a**2 - 17*a + 237. What is 17*i(k) - 6*q(k)?\nAnswer: -19*k**3 - 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-3\/2))\/z)**(3\/5)\/(z**(1\/3))**(-2\/13) assuming z is positive.\nAnswer: z**(371\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13350 - 3845 = 5*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**5*i**(2\/3)*i)\/(i**(-2\/15)\/i*(i*i**(-1))\/i))**(-3\/8))**46 assuming i is positive.\nAnswer: i**(-3381\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + c. Let j(k) = -8*k**2 + 3*k - 10. Let b(m) = 4*d(m) - j(m). Let n(t) = t**2 - 5. Let f be n(0). What is the hundreds digit of b(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17499 equal to 17499?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 10*k + 9. Let g = -188 - 148. Let j = g - -354. Let q(x) = 0 + 0 + 1 - 2 - x. Calculate j*q(s) + 2*o(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + -1 + sqrt(2448) + sqrt(2448) + ((-1 + sqrt(2448))**2 - sqrt(2448)) + 4)*-4*-1 + -3.\nAnswer: -29475 + 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(-9)*h\/h**(3\/4))\/(h**(1\/7)\/h**(3\/2)) assuming h is positive.\nAnswer: h**(-151\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -674 - -8525. What are the prime factors of p?\nAnswer: 3, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2213, 4569, 6943, 9347, 11793, 14293?\nAnswer: 16859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2. Let z(v) = -7*v + 6. Let h(y) be the second derivative of -y**3 + 5*y**2\/2 - 3*y. Let x(d) = -6*h(d) + 5*z(d). Determine x(i(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*s + 38 + 34 = 0. What is the remainder when s*(520\/26 - 2\/(-1)) is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/50)\/((-4)\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*l, m - 5*m - 3*l + 1 = 0. Calculate the smallest common multiple of 8 and (m - 2)*-3*(-32)\/(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 863 = 5*i, 3*v + 3*i + 1283 = -i. Let s = 482 + v. Which is the second smallest value? (a) s (b) 0.5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 b, and 1 p when three letters picked without replacement from zzbzpphbpzuazzzbzz?\nAnswer: 27\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 1845?\nAnswer: -1840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 106 - 68. Is 9 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 7*l - 2. Let z(o) = -o**2 - 10*o + 3. Let w(k) = -4*r(k) - 3*z(k). Let d(i) = -i + 1. Let p be (-11 - -9) + (1 - -2). Determine p*w(b) + d(b).\nAnswer: -b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 2*f + 1. Let w = 5 + -4. Let d be 8\/(-6)*(14 - 11). Let r = w + d. Calculate n(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/3046 and -17\/526?\nAnswer: 801098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.04 + 3.04. Let r = 4 - q. Let c = 0.33 - -0.17. What is the second smallest value in c, r, -0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -156 (base 8) to base 4.\nAnswer: -1232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-4)*-1)\/(-245*299\/146510).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 977 = s - p, 827*s + 2*p + 2938 = 830*s. What are the prime factors of s?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.26 - 35.64. Let f = -36 - y. Let r = -0.1000001 - f. Round r to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 4 = -2*c + 5*c, -c + 5*q = -28 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 645 is divided by 165.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(17) - (sqrt(1377) - (-3 + sqrt(1377))) - sqrt(17)) + (5*sqrt(425) - sqrt(17)))*1)**2 + -2.\nAnswer: -144*sqrt(17) + 9799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 72*u**3 + u**2 - 1. Let p be y(-1). Let j be (6\/p)\/((-2)\/6). What is the biggest value in 0, 2\/13, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -51, -49, -9, 87, 257?\n\"Answer: 3*a**3 + a**2 - 22*a - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of 3 - 19*r - 1\/4*r**4 - 1\/6*r**3 + r**2 - 1\/20*r**5. What is w(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + v**2 + 0 + (-2 + 2 - 1)*(-3*v**2 + 5*v**2 - 3*v**2))*(5*v - 5*v + v**2).\nAnswer: 2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*t, -5 = 2*y + 3*y + t. Let r be 38*-2 - (-2 - y). Let m = r + 124. Calculate the highest common factor of m and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*r**2 + 81 - 50*r + 87*r - 40*r - 70 in the form q + j*r + b*r**2 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 51*u**2 - 2*u + 2. Let m(x) = -357*x**2 + 15*x - 15. What is -2*m(q) - 15*p(q)?\nAnswer: -51*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 5)*(963 + 903 - 1802)*(0 - 3*g - 2 + 7) to the form v*g + o and give o.\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 133639 to the power of 1\/2, to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 6*m - 3. Suppose 5*z = -g + 10, 4*z = -0*z + 4. Calculate the lowest common multiple of 6 and d(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 5 + 2)*(-2 + 0 + 3) - 1 + 0 - 2)*(6*r - 9*r + 11*r)*(-3*r**2 - 6*r + 6*r) to the form b*r + j*r**2 + h + p*r**3 and give p.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -209 + 2609. Is l a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(2\/17)\/b)*b**4)\/(b**(1\/12)*b*b\/(b*b**7)) assuming b is positive.\nAnswer: b**(2407\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/(-45))\/((-16)\/12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -27 - -213a9?\nAnswer: 21382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 42472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1101778, -2203555, -3305332?\nAnswer: -4407109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 131 - 10*x - 4*x.\nAnswer: -14*x - 142","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 222*q**2 + 235*q + 3. What is the tens digit of j(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11)\/(-4) + -2 - (-20)\/(-40). Let u = -9 + 9. What is the nearest to u in -5, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1754045 greater than 1754045?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 35*g + 91. Calculate the remainder when 131 is divided by f(-36).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.9 - -1.1. Suppose -3*v + 100 = -5*j, -2*v - 5*j = -j - 74. Let t = 30 - v. What is the third biggest value in t, f, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1*sqrt(304).\nAnswer: -4*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 439, 1737, 3897, 6913, 10779?\nAnswer: 15489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1592 and 4.\nAnswer: 6368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 - (-11)\/((-22)\/324). Let u = 153 + a. Put -3, 3, u, -1 in decreasing order.\nAnswer: 3, -1, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -93*d**2 + 77*d - 189. Give j(2).\nAnswer: -407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6355492*0.16.\nAnswer: 1016878.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 191 and 7.\nAnswer: 1337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**4*j*j**9*(j*j\/(j*j**(2\/7)))\/(j*j\/(j*j*j**(-5\/7))*j) assuming j is positive.\nAnswer: j**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/22)*p*p**18*(p\/p**(3\/5))**40 assuming p is positive.\nAnswer: p**(771\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c - 12. Let p be f(5). Let y be (-34)\/85 + (-66)\/10. Is p <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12812990*m**2*v + m**2 + 273*m*v - 2*m + 24598*v + 4 wrt m.\nAnswer: -25625980*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5224 = 15*t - 20674. Is t a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -439, 290, 1517, 3242, 5465?\nAnswer: 8186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*d - 8*d + 3*d - 5*d**2 - 5*d**2 - 12*d in the form g*d**2 + r + q*d and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*p - 64*p - 348015 + 348015.\nAnswer: -18*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1874.\nAnswer: 2, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, y: 6, e: 2, j: 1, g: 6, k: 2}. Give prob of picking 1 g, 1 p, and 1 e.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-4 + (-1 + sqrt(76) - sqrt(76)))*-6*-4)**2 + 1.\nAnswer: 129601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23301358843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1740 by 7640.\nAnswer: 87\/382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 5*z + 18. Let s(g) = -11*g + 9. Let j(k) = -5*k + 4. Let u(n) = z*j(n) + 4*s(n). Let v(w) = 5*w**2 - 11*w**2 + 5*w**2 + 4*w**2. Give v(u(h)).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(5\/15*-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 0) + 8 - 1. Let s(f) = f**2 + 22*f - 16. Suppose -4*z - 60 = 32. Let k be s(z). Which is bigger: j or k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000644598 to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 534251755?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -450.2900047918 + 450.29. What is w rounded to seven dps?\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3035?\nAnswer: 5, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 530 - 196*z**4 + 153*z**4 - 87*z**4 - 250*z**4 - z**3 + 69 wrt z?\nAnswer: -1520*z**3 - 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 39\/(-65) - 6\/(-10). Suppose -5*q + 4*a = -h*a - 17, -5*q + 23 = -a. Let y be 195\/25 - (-1)\/q. Solve 4*m = -s - s - 16, y = -2*m - 3*s for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -494 + 242. What is the tens digit of -1 + (-72180)\/c + 6\/(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 44168 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**5\/11 - 32*q**4\/11 + 84*q**3\/11 - 80*q**2\/11 + 26*q\/11.\nAnswer: 2*q*(q - 13)*(q - 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -76838922 + 76838920.39999955. Let n = c - -1.6. What is n rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -448 divided by 2\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 3*o - 4. Let u = 77 - 57. Let a = -48 + 31. Let k = a + u. Determine x(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n + 8. Let w be o(-6). Let q = 2746 - 2747. Which is the second biggest value? (a) 4 (b) w (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -3*a + 3. Let y = a - -14. Is 39\/2 + y\/6 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k + 4. Let h be i(0). Calculate the highest common divisor of 12 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1914 and 14850?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, z: 2, w: 1, n: 2, m: 2, j: 1}. What is prob of picking 2 z?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 953134 to the power of 1\/3, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/2))**34 assuming p is positive.\nAnswer: p**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 4:20 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -192377*v + 160896.\nAnswer: -192377","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 - -0.2. Let f = 0.300035 - b. What is f rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 1.1, 33, 1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n = 4*n + 3*q - 9, 0 = 2*n + 4*q + 10 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/60)\/(2\/8*2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 1:41 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mkvgmmxgjkkk. What is prob of picking 2 m, 1 j, and 1 k?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 9. Suppose 0 = -5*w - 2*y + 25, w + r*y - 10 = -w. Solve -3*l = -5*l - 3*g - 11, -w*g - 15 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -1 + 23*p - 11 - 62*p + 12. Let r(w) = -8*w**2. Calculate m(r(x)).\nAnswer: 312*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 810*c - 325. Let h(s) = 30*s - 12. Let m(x) = -55*h(x) + 2*r(x). Let w = 980 - 984. What are the prime factors of m(w)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1561*o**2 - 3699*o.\nAnswer: -3122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -2082\/1189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, m: 14}. What is prob of picking 3 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/5, -0.08, 4, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21830760 by -2.\nAnswer: 10915380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 8\/3, 0.5 in descending order.\nAnswer: 8\/3, 0.5, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 839211, 1678426, 2517639, 3356856, 4196083, 5035326, 5874591?\nAnswer: 6713884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/8 (b) 2\/7 (c) 4\/5 (d) -2 (e) -16 (f) -0.044 (g) 78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4*c = 24. Suppose -j - 1 = x - c*x, 0 = 3*x + 4*j - 26. Calculate the common denominator of 51\/11 and 76\/100 - (4 - x).\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10224?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 990430.5 months?\nAnswer: 82535.875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/12 and -3 - -3 - 58\/(-44)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37.16*0.3\nAnswer: 11.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30509 - -32114. What is the smallest common multiple of w and 9?\nAnswer: 4815","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -137, -526, -1169, -2066, -3217, -4622, -6281?\n\"Answer: -127*u**2 - 8*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2377?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 84 and -38419.\nAnswer: -3227196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -10.2. Let c = 0 - g. What is the nearest to 1 in 1\/4, 3, c?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 68184 and 76707?\nAnswer: 613656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (1 + 0) - (77 + 89 + -226)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - (-3 + sqrt(2)*3)) + sqrt(2) + 5)**2 - (-3*sqrt(2)*1 + sqrt(2) + (1 + sqrt(2))**2*3).\nAnswer: -20*sqrt(2) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (104\/264*-6)\/((-86)\/946)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(99) + (sqrt(99) - 5*(0 + sqrt(99))))*4 - ((sqrt(220)\/(sqrt(10)\/sqrt(2)))**2 + -3*(sqrt(396) - sqrt(44)))).\nAnswer: -144*sqrt(11) - 264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 1 = 8. Suppose x = -3*p + 9. Factor p*v**2 - 2*v**3 - 4*v**2 + 0*v**3.\nAnswer: -2*v**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189.80655 months in decades?\nAnswer: 1.58172125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1 + 1 + sqrt(2448)))**2.\nAnswer: 88128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4*-139958237\nAnswer: -559832948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -1\/2, -13, -18, 2\/7 in descending order.\nAnswer: 2\/7, -0.4, -1\/2, -13, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 20. Suppose 22*f - 72*f = -16*f - f. Solve -5*c - t - 4 = f for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0 + 2 = 0. Suppose 3*m = -2*j, -5*j = -q*m + 14 + 5. Differentiate -5*f**2 - 2*f**m + f**2 + 0*f**2 - 6 with respect to f.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 3*f**2 + 2*f + 3. Let h be k(-3). Sort -7, h, 1 in ascending order.\nAnswer: -7, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -17*b + 9. Let a(w) = -4*w + 14. Let t be a(0). Let r be (-5)\/2 - 7\/t. Let m(k) = 8*k - 4. Determine r*n(v) - 7*m(v).\nAnswer: -5*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 13.58 (b) -0.3 (c) 259\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -33740277, -134961103, -303662487, -539844435, -843506953, -1214650047, -1653273723?\n\"Answer: -g**3 - 33740273*g**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -58, 87, 438, 1085, 2118, 3627, 5702, 8433?\n\"Answer: 15*z**3 + 13*z**2 + z - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*p + 1145 = -996 - 188 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.5 - 2. Let o = 6.32 + -7.5. Let f = -3.18 - o. Which is the nearest to f? (a) 2\/9 (b) 0.5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12\/(-18)*((-3)\/(-4) - (-8418)\/(-8)) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 48960*k**3 + 16*k**2 - 80*k + 26590. Let w(n) = 9792*n**3 + 3*n**2 - 15*n + 5318. Let h(z) = -3*t(z) + 16*w(z). Differentiate h(i) wrt i.\nAnswer: 29376*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 458 = -94*r, -20*y + r = 5*y - 24*y + 7 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 25161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -10*b + 12*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, k: 1, r: 1, n: 2}. Give prob of picking 4 p.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z - z + 5*z + (2*z + 0*z - z)*(3 - 1 - 1) + 0 + 0 + 2*z + 0*z - 5*z + 2*z + (-2*z - z - 2*z)*(-3 + 7 - 3) to n + s*z and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -177039, -177040, -177041, -177042, -177043, -177044?\n\"Answer: -g - 177038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 3*y - 4*m + 1989 = 0, 0 = -2*m - 6. Let r = 1132 - y. What are the prime factors of r?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (sqrt(125) - sqrt(5)) + 2 + sqrt(500) - (sqrt(5)*1*-6 + -2)) + -1)**2.\nAnswer: 40*sqrt(5) + 2001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cz when two letters picked without replacement from {c: 1, u: 6, z: 4, v: 4}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**4*s)\/(s*s\/((s**(3\/2)\/s*s)\/s)*s*s*s)*s\/s**(-6)*s**(-2\/3))\/(((s*s\/(s\/(s**(-7)*s)*s))\/(s*s**(-1\/9)))\/(s**0\/s)**(-3)) assuming s is positive.\nAnswer: s**(319\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 3 - 4*v**2 + 0 + v**3. Let k(p) = p + 2. Let s be k(3). Give z(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, g: 3, p: 2, d: 4}. What is prob of picking 1 g, 2 d, and 1 p?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/25, -7\/438, -11, 27.\nAnswer: -11, -7\/438, 2\/25, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -6 and 1185.\nAnswer: 1179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181464 is divided by 90250?\nAnswer: 964","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**2 + 3*z**2 - 2*z**2 + 3*z**2.\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -72841, -65916, -58991, -52066, -45141, -38216?\n\"Answer: 6925*f - 79766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -365 times 5\nAnswer: -1825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 20*r**2 + 60270445*r + 15067610 = 0.\nAnswer: -3013522, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -4.1\nAnswer: -16.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 27 = 2*o + 2*o, 5*o - 18 = -u. Solve u*l + 5 + 30 = -5*c, -1 = -c + l for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 - 34. Suppose 9*z - 11*z + 254 = b. Let w = -51 + z. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 285 = -4*s. Let h = -71 - s. Is h - -6 - (-613 - -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**2 - 2248606*t**3 + 2248607*t**3 + 4*t**2.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 92*h + 5897. Calculate the remainder when 1928 is divided by x(-62).\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 18 = -6*z. Let c be (-5)\/((-135)\/(-6)) - 29\/z. Sort 0, 8, c.\nAnswer: 0, c, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 203 + -55. List the prime factors of r.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.71 - 3.71. What is the closest to 1\/4 in -1\/6, -3\/7, v, -3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -516 and -631.\nAnswer: 325596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*i - 449 + 425 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -976 by 4.\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 11*f**2 - 9*f - 26. Suppose 21 + 49 = -7*u. What is the thousands digit of y(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of o**5 + 25*o**4\/4 + 40*o**3\/3 + 10*o**2 - 51. Suppose m(q) = 0. Calculate q.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -16*(-81)\/720 + (-11)\/(-5). Let p = 2 + 3. Let v = 10 + p. Solve -3*x = -j*r + 9, 2*r = -2*x - 3*x - v for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 (base 6) to base 13\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 6\/(-3) - -5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*p - 11 = 0, -2*r + r - 4*p = -16. Let t(f) be the second derivative of -f**2 + 0 - 1\/10*f**5 - 1\/2*f**r + 5*f - f**3. Factor t(v).\nAnswer: -2*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -89 - -93. Solve k = z*k + g + 15, 0 = -2*g for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2*u - 88 = 0, 5*d - 6*d + 14 = 4*u. Let j be 175\/63 - (-4)\/d. Solve -5*n = -0*f + j*f + 26, 2*n + 4 = 2*f for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -874.674 to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*w - f - 193 = 0, -2*w + 13*f - 14*f + 18 = 27 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - k + 15 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23046744 rounded to 3 dps?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1372 and 21903?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175 + -146130.41.\nAnswer: -145955.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*x - 4*t + 12, -3*t = 3*x + 3. Let o(c) = c**3 + 5*c**2 + 2*c - 5. Let m be o(x). What is the units digit of ((m + -1)\/2)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*c - 4*p, -45*p - 12 = -41*p. Let v = -47 + 23. Let r be c*3\/v*0. Solve 6*m - m = r for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -9. Let g = 8 - -17. Let w = g - 13. What is the highest common factor of w and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-10) + 1058\/(-460)\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 252\/20 + 30 + -38 - (-6)\/(-2)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 73?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 704026853?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000685 to 6 decimal places.\nAnswer: -0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 19 + 1 = 0. Suppose 17 = 3*f + o. Is f a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29125*m - 29076*m = 36634654. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 10*o**2 - 12*o + 12. Let d be p(11). Let g be (-2 - (-22)\/14)\/((-6)\/42). Solve 4*n - d = g for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**4\/8 + 641*q**3\/8 - 34131*q**2\/8 - 11877*q\/8 + 11449\/4 = 0 for q.\nAnswer: -1, 2\/3, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (44\/55)\/(28\/10). Which is the closest to t? (a) 3 (b) 2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8773678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 11. Suppose w + 3*w - 3 = -h, 3*h = i*w + 9. Factor -1\/5*x - 1\/5*x**2 + w.\nAnswer: -x*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f - 7. Let h be x(-9). Suppose h*s = -2*s - 216. Let c = s + 77. List the prime factors of c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -46.5.\nAnswer: -23.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12062837 (base 9) to base 11\nAnswer: 3361293","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1366658.244 seconds?\nAnswer: 2.25968625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00421398235 rounded to 4 decimal places?\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8128 - -8766. What is the lowest common multiple of 464 and r?\nAnswer: 5104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43990 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 5*p + 6. Suppose 0*j + 5*g - 5 = 3*j, 27 = 3*j + 3*g. Suppose -3*z + 3*h - 9 = 3, 0 = -z + j*h. What is y(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-10)*1*(-4)\/(-10).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j - 4. Let w(c) = -c - 7 + 10*c + 0*c. Let p(f) = -7*v(f) + 4*w(f). What is the units digit of p(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 10:40 PM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2*c + 0 - 14*c as j + y*c and give y.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 9*u**2 + 12*u - 1. Let g be d(-3). Is g\/286 + 179370\/26 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -344803\/42 + 8211. What is the common denominator of q and 149\/30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3050 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 637 is divided by 36?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 49, -16, 4 in ascending order.\nAnswer: -16, -5, 4, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/18 + (-789)\/(-9). Calculate the least common multiple of 22 and (-8 - 0)*d\/(-32).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/187*30\/6?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4996136699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((156\/(-1680))\/13)\/(7\/4). Is m != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -174 or -169?\nAnswer: -174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -2*m + 68, -3*o - 5*m + 32 = -2*o. Suppose -2*u = 5*b - 4*u + 26, b + 3*u = -o. Does 7 divide 28 - 0 - (b + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 7824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 13*h**2 - 31*h - 160. Determine i(-10).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 16*d - 2. Calculate j(2).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(325) - (2*sqrt(325) + sqrt(325)))*2 - 6*sqrt(325)*1) + (sqrt(143)*1*-5)\/((sqrt(11) - -1*sqrt(704)) + sqrt(11)))**2.\nAnswer: 132613\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32737 is divided by 55.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3 + -4*sqrt(11)*-3 + 2 + -5.\nAnswer: -4 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 54*a**3 + 2*a**4 + 46*a**2 + 2*a + 16*a**3 + 22*a**3 + 21*a**3 in the form d + h*a + y*a**2 + q*a**4 + i*a**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 2*v**2 + 2*v. Let x(t) = -1 + 13*t**2 + 161*t + 0 + 0 - 300*t + 151*t + 22*t**3. Let r(z) = 6*i(z) - x(z). Calculate r(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 5:06 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/10*(-21)\/(-42).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9698 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7382 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -321 - -643. List the prime factors of o.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y\/(y**25*y))\/y**4)**10 assuming y is positive.\nAnswer: y**(-270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 545879922 to the nearest integer?\nAnswer: 817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44082898 is divided by 251.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from muwlgggluwwuyulm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of y**3\/3 + 15*y**2 + 50*y + 34. What are the prime factors of z(-42)?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 13633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 3. Suppose -4*u = -6*u. What is the second derivative of 4*h**5 + 0*h**2 - 4*h + u*h**2 + 3*h**n wrt h?\nAnswer: 140*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = q - 13*r + 10*r, 28 = -2*q + 2*r. Let h be ((-5)\/(-2) - 4) + (-66)\/q. Solve -h*o + 2 = -5*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**3 - 22703018147 + 22703018147.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(162) + -1 + sqrt(162))*6)*1.\nAnswer: -10 + 108*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5196, -10250, -15100, -19740, -24164, -28366, -32340, -36080?\nAnswer: -39580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -3\/2 (c) -0.2 (d) 50\/9501\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4376166.\nAnswer: 2, 3, 127, 5743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 4:59 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 6*g**2 - 5*g - 9. Determine w(-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -274*c - 2740. Let u be t(-10). Which is greater: -1\/53372 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1004*k**4 - 1600*k**2 wrt k?\nAnswer: 24096*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37*h**4 - 37*h**4 - 9*h**5 + (-2*h**3 + 2*h**3 + h**5)*(0 - 8 - 4).\nAnswer: -21*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(5\/(-70)) + 2. Let f be (-3)\/(-2)*l*9\/54. Solve f*w - 24 = 4*u, 4*u + 10 = 3*w - 10 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -43. Let n be (2 + f\/18)*-3. Which is greater: n or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 23.385.\nAnswer: -23.385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from khh. Give prob of picking 1 h and 1 k.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 36818, 2\/11, -4, 5, 2, -0.8.\nAnswer: -4, -0.8, 2\/11, 2, 4, 5, 36818","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 258*-5*6\/(-60) - 1. Calculate the highest common divisor of 160 and w.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -0.3 (c) -0.8 (d) 71176 (e) 2\/139\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -672.1 + -25919369.5?\nAnswer: -25920041.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 24479*d + 73482. What is o(-3)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -170029*y**2. Let o(r) = -2*r**2. Give p(o(n)).\nAnswer: -680116*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 5419616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8754 is divided by 337?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 31*v - 25*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + g - 2121. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-90))\/(2\/3*3\/32).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*f - h - 8, h + 20 = 3*f. Solve -x = -5*i + f, 2*x + i = -42 + 35 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35.1 + -35.099659. What is i rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 166.1758 millimeters?\nAnswer: 0.1661758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*u - 639 = -288 for u.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328154 is divided by 430.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v**2 - 8*v + 4. Let z(a) = 7*a**2 + 16*a - 8. Let m(f) = -15*c(f) - 6*z(f). List the prime factors of m(-12).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59 - 63. Let i = 20.1 + -21. Let k = i - -1. Which is the smallest value? (a) 1 (b) k (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-9)\/(-2))\/(37\/74). Let v be 6 + ((-15)\/(-5) - c). Sort v, 5, 20.\nAnswer: v, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 28123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 114126134 (base 7) to base 3\nAnswer: 111022211121112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.14 (b) -4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (14 - 2)*(-20)\/(-30). Let r = 2372\/35 + -396\/7. Calculate the common denominator of ((4 - 4) + -73)\/c and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 3*t = 33. Suppose -d = d - 6. Suppose 0 = -d*u - 4*f + f + 27, -37 = -3*u - 5*f. Calculate the remainder when t is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**5\/13 - 1373586*u**4\/13 - 1373584*u**3\/13 = 0.\nAnswer: -686792, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2c532 - 324a?\nAnswer: 292c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 3:40 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(392)\/sqrt(72) - sqrt(49))\/sqrt(7))**2.\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 76629.82 days?\nAnswer: 6620816448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4\/27 - -76\/27. Determine j, given that 0 + v*j**2 - 50\/3*j**4 - 50\/3*j**3 + 8\/3*j = 0.\nAnswer: -1, -2\/5, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.932781 decades to centuries.\nAnswer: 0.1932781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3)*(-5*b**2 + 239*b - 59 - 239*b).\nAnswer: -10*b**2 - 118","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(((p*p*p*p**(6\/7)\/p*p)\/p*p)\/p*p))\/(p*p**(14\/11)*p))**(-1\/8) assuming p is positive.\nAnswer: p**(59\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 99365 and 280.\nAnswer: 794920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, 4, -7, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -u**6\/120 - 3*u**5\/40 - 5*u**4\/48 + 34*u. Factor d(x).\nAnswer: -x**2*(x + 1)*(x + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -182352\nAnswer: 1\/30392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -2) + (2 - (-6 - -2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 l when three letters picked without replacement from {k: 5, b: 1, h: 1, l: 10}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17760288 and 399.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3745656 divided by 195.\nAnswer: 1248552\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 51.86?\nAnswer: 48.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11000110 (base 2) to base 10.\nAnswer: -198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 10460, 20921, 31382?\n\"Answer: 10461*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 divided by -16.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23923425371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 506*w - 244. Let f(v) = 507*v - 186. Give 3*d(l) - 4*f(l).\nAnswer: -510*l + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33.1 - 49. Let t = 17 + s. Let x = -1.01 + t. Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j = -8*j - 340. What is the tens digit of (0 + j)\/(2\/(-4)*-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 574 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/120480 and 139\/7530.\nAnswer: 120480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i - 4. Let c(d) = 2*d - 8. Let h be c(6). Let p be b(h). Solve 5*t = p*z + z + 40, 3*z - 4*t + 28 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = l - 11, -221 = -108*i + 20700*l - 20705*l for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rxerrexrrxexxerxexe. Give prob of sequence er.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17813*c*g**2 - 95718*c wrt g?\nAnswer: 35626*c*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7, -19752 in ascending order.\nAnswer: -19752, -7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 784908.3 hours in days?\nAnswer: 32704.5125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -0.4 (b) -0.06 (c) 1\/4 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4184, -4187, -4198, -4223, -4268, -4339?\n\"Answer: -i**3 + 2*i**2 - 2*i - 4183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -9. Let w = 90 - b. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13430 + -2?\nAnswer: -13432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**4\/3 - 18050*n**3\/3 - 66143*n**2 = 0.\nAnswer: -18039, -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 6 = -0*g. Let m be 3800\/(3 + (-5)\/g). Round m to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292377 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 453 (base 9) to base 3.\nAnswer: 111210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 2 = -2*u + 2*t, 0 = -5*u - t + 13. Suppose 0 = -5*k + 2*q + 1, -u*k + q - 1 = -k. Let v(w) = w - 1. Let i(r) = -r. Determine k*v(l) + 3*i(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 1 + 1 = 4*q, -5*q - 5 = 5*d. Let o be (q - 0)*1092577 - 2. Let x = -262575 + o. Round x to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3)\/p)\/(p\/(p*p**(-17)))*(p**16*p)\/(p**(-2\/15)*p) assuming p is positive.\nAnswer: p**(-73\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331799.\nAnswer: 13, 25523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 24.33, 1, 11, 13 in ascending order.\nAnswer: -4, 1, 11, 13, 24.33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 1:18 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39 - -44) + 0 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 203\/4 - 51. Suppose -9 = -3*k - 3*j, -9 = -3*k - 2*j - 0*j. Suppose p = -0*p + k. Put p, r, 0 in decreasing order.\nAnswer: p, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11420 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**8\/x*x)\/x)\/(x*x**(-6)\/x))**(-27)\/(x*x**(4\/5)*x\/(x**1\/x))**(2\/29) assuming x is positive.\nAnswer: x**(-50923\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7 - 5*(-4)\/(-20)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 6*z**2 - z - 15. Let f be k(5). What is the first derivative of 2*h**3 - 4*h**3 - 79 - 91 - f*h wrt h?\nAnswer: -6*h**2 - 255","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*p + 12 = -7, -p = 5*i - 95. Let b = 18 + -12. Calculate the remainder when i is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**3 + 33*j**2 - 11*j - 29. What are the prime factors of i(16)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 159*a + 1. Let c(f) = -4*f**2 + 2562*f + 2. Give g(c(r)).\nAnswer: -636*r**2 + 407358*r + 319","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-7)\/(-2))\/(833\/238). Solve -2*u - 14 = 4*r, -30*u = -27*u + 2*r + m for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 132 and 330?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 356 = -3*d + 2*d, 0 = -4*d - 16. Suppose 5*z = -98 - 67. Calculate the smallest common multiple of r\/(-66) - 6\/z and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 11:29 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yccyyycycy. What is prob of sequence cycc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310*g + 376*g = 415470. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*j = -b + 467, -4*j - 236 = -4*b - 108 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -3 + 1 + -21 + 6 + -4.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1413.2 times 0.5?\nAnswer: -706.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36706\/11 - -195001\/77. Let i = l - -803. Find the common denominator of -23\/3 and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -456 - 66?\nAnswer: -4bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 9, o: 9}. What is prob of picking 1 a and 2 o?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1 + sqrt(5) + -1.\nAnswer: -1 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*n + 3676 = 0, -i - 4*n = 2*i - 11048. Calculate the greatest common divisor of i and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -441 + 436. Let f be r\/3*(-7 + (-319)\/(-55)). Suppose 4\/11 - 4\/11*o**4 + 14\/11*o + 12\/11*o**f - 2\/11*o**3 = 0. Calculate o.\nAnswer: -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -36*c - 614. Let o be u(-20). What is the greatest common divisor of o and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 - 16*l + 31 + 32 + 4*l**2 + 38 = 0. What is l?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/4)\/((-10)\/(-200)). Suppose 0 = -5*o + o + 8. Solve -2*d + o*w + 8 = 0, x*d - 2*w - 10 = 7 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 36304749\/7 or 5186393?\nAnswer: 5186393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*sqrt(28).\nAnswer: -2 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 166*j + 615 - 4101 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/5*(-36)\/108)\/(14\/126)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - ((-1 - -5) + -3). Suppose -s*t = -4*t + 1290. Find the common denominator of ((-4)\/(-20))\/((-24)\/t) and 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -1112*d + 1114*d + p, -8*p = -2*d + 12*p - 106 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from roroorrrrorrrroror. What is prob of sequence rro?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 9) to base 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 z when two letters picked without replacement from dqzzzdzzdqdqdqdzzddz.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/((-21)\/12))\/(8\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 14*q + 4. Let h be r(14). What is h rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00815223256 rounded to five dps?\nAnswer: -0.00815","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 244803, 489617, 734431, 979245?\nAnswer: 1224059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 5*f**2 + f - 13. Let t be z(6). Suppose -25 - t = -9*a. Suppose a*v + 5*b = 3*v + 709, b = 5*v - 1191. What are the prime factors of v?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11416, 91365, 308368, 730951, 1427640, 2466961, 3917440?\nAnswer: 5847603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 3*t**5\/2 + 11235*t**4\/2 + 11161641*t**3\/2 + 1177712937*t**2\/2 - 6401036772*t + 5806593864 = 0?\nAnswer: -1812, -131, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2*3 - (-23 + -471)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 4\/539, 75, -16 in descending order.\nAnswer: 75, 4\/539, -0.2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49009?\nAnswer: 49009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36880 + 36882. Which is the third smallest value? (a) 3.27 (b) -4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 2*o**2. Let q(t) = 5*t**3 - 11*t**2 + t. Determine 22*d(z) - 4*q(z).\nAnswer: 2*z**3 - 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.21526 and 2.44.\nAnswer: 3.65526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14196208*f**4 - 83666*f + 3 wrt f.\nAnswer: 170354496*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 6*m. Suppose m = -8*c + 11*c - 12. Let o(w) = -6 + c + 2 - 4 + w. Determine o(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/50080 and 23\/3831120.\nAnswer: 7662240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o\/(o**(-5)*o)))\/((o\/(o\/o**(-6)*o))\/o)*(((o**(-6)*o)\/o)\/o*o)\/(o*o**(-2\/5)))\/((o*o*o**0*o*o*o)**(-14)*(o\/o**1)**(1\/41)) assuming o is positive.\nAnswer: o**(332\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -103300 - 3?\nAnswer: -103303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 1:04 PM?\nAnswer: 512","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 30137338 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/1216, 2\/5, 14\/5, -40.3, 5 in decreasing order.\nAnswer: 5, 14\/5, 2\/5, 3\/1216, -40.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, c: 1, k: 3, u: 1, v: 1, b: 2}. Give prob of picking 1 q and 1 b.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n + 3*v + 156 = 18*n, -4*n + 2*v = -654. Let h = -163 + n. Solve -3*q + 25 = h*q - 5*o, q + 5*o = -13 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27225 divided by -1\nAnswer: 27225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c + 6. Let f(a) = -1. Let t(q) = -6*f(q) - g(q). Let r(n) = 5*n**2 - 6*n**2 + 2 + 4 + n. Let j(v) = r(v) - 4*t(v). Calculate j(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55643, 111485, 167345, 223223, 279119, 335033?\nAnswer: 390965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.2898 + -2.34. Let s = p + 0.054. Round s to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33964\/(-25473))\/((-6)\/(-99)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 divided by -192023.\nAnswer: -51\/192023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 193911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120900 and 101299692.\nAnswer: 4836","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.029 * 48.\nAnswer: 1.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/53 (b) 4 (c) -52\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 8:00 AM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/4 + 5\/(-30)*-3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-10) - (282\/525)\/((-12)\/15). Let 9\/7*h - y + 1\/7*h**3 - 6\/7*h**2 = 0. Calculate h.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 2*n + 8 = 0, -12*n + 11*n = 5*q - 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9 + 0.4. Let f = i + -0.5. What is the second smallest value in -5\/2, f, -1\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u**4\/3 + 29608*u**3\/3 - 40946*u**2 + 135608*u\/3 - 16952\/3 = 0 for u.\nAnswer: -2119, 1\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.99739 litres to millilitres.\nAnswer: 8997.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 425779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/10 - 6\/10. Let z be (-1 - -1)\/(-3) - t. Let b(w) = -z - 2*w + 3*w - w**3 + w**2 - 4*w**3. Calculate b(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 1 = r. Let y(a) = -14*a**3 - 2*a**2 - 2*a + 1. What is the hundreds digit of y(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56401.68 meters in kilometers?\nAnswer: 56.40168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42014 and 17864?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -42\/41 or -2?\nAnswer: -42\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2981 (b) 3\/14 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 240 = 14*f, -5*y + 11*f - 3452 + 3270 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 0.065.\nAnswer: 0.195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**5 - 8*y**4 - 8*y**3 - 7*y**2 + 3*y + 3. Let t(n) = -n**5 - 9*n**4 - 8*n**3 - 8*n**2 + 4*n + 4. Let z(s) = -4*p(s) + 3*t(s). Factor z(j).\nAnswer: j**2*(j + 1)*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**4\/4 - 223*b**3\/2 + 18963*b**2\/4 - 41895*b\/2 = 0. What is b?\nAnswer: 0, 5, 42, 399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2207 = -6*y + 6197. Suppose 4 - 4 = 5*f. Suppose 3*b = 4*a - y, f*a - 2*b = 5*a - 837. Calculate the remainder when a is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**3 + 5*g - 7*g**4 + 23*g**4 - 1646*g**2 - 3*g + 21 + 1649*g**2 - 13*g**4 as m*g**2 + q*g**3 + l + v*g + f*g**4 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2169, -2203, -2307, -2517, -2869, -3399, -4143, -5137?\nAnswer: -6417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4*r - 31. Let u be y(-9). Solve 4*k + 11 = -u for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2191*d**2*s - 6*d**2 + 8*d - 3 wrt s?\nAnswer: 2191*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -23735 times -13557\nAnswer: 321775395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3641240.339 + -3641241.4098340142. Let k = c + -223.9291681258. Let y = -225 - k. Round y to seven decimal places.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 628?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 729.304 or 0.03?\nAnswer: 729.304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 98\/15 + 8\/15*v**4 + 218\/15*v**2 + 24\/5*v**3 + 84\/5*v.\nAnswer: 2*(v + 1)**2*(2*v + 7)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + a + 1. Let v be l(0). What is the derivative of -2*k + 2*k - k + v + 5*k wrt k?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 43\/21 (b) 0.146 (c) 0.4 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4414 a factor of 2826005183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.69025 decades to years.\nAnswer: 716.9025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 237863471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -4\/337147737?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68529282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j = 12*j + 20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5614 and 938?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**3 - 1980*y**2 - 219225*y - 4449250 = 0. What is y?\nAnswer: -185, -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4782407 to the power of 1\/3, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f\/((f**5\/f)\/f))\/f*f\/f**(3\/10))**(3\/7)*(f**8\/f*f\/((f\/(f*f\/f**3*f))\/f*f))**34 assuming f is positive.\nAnswer: f**(16621\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.63 + 0.37. Which is smaller: -1\/3 or z?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o**2 - o**2 + 4*o**2 + (-o - 3*o + 7*o)*(-3*o - 3*o + 5*o))*(-1 - 2 + 2).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -425? (a) -0.03 (b) 2.6 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 5811996.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*r = 31*r + 216. Let k(j) = 3*j**2 + 4*j - 6. Determine k(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i + 5*i**2 + 0 - 6*i**2 - 1 + 4*i**2. Let j be c(3). Let b be 10\/j + 140004\/(-14). Round b to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77, -82, -89, -98, -109, -122, -137?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2031491.3 take away -0.05?\nAnswer: -2031491.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*x - 2106 = -15*x. Calculate the greatest common divisor of 243 and x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5324 divided by 44.\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhwwwwweekwwhwwwwq. What is prob of picking 1 k and 3 w?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85248?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 9*v**2 - 8*v - 5. Let p be z(7). Suppose 121 - p = -3*j. Let m be (-6)\/21 + (-456)\/j. Solve 0*t = -5*t + 3*c + 9, m = 2*t + 5*c for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 36 + -2104?\nAnswer: -2046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 1603*h**2 - 810*h**2 - 751*h**2 + 23*h + 2*h**3 in the form n + c*h**3 + k*h**2 + j*h and give j.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12230208 by 22482.\nAnswer: -544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 7:14 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 30531 (base 8) to base 16\nAnswer: 3159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 84\/(-63) + 25\/3. Let d = -5 + 11. Let x(u) = u**2 + 4*u - d*u**2 + u**2 + 2. Let j(t) = 9*t**2 - 9*t - 5. What is q*x(l) + 3*j(l)?\nAnswer: -l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 682326019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1446, 1446, 1444, 1440, 1434?\nAnswer: 1426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49202301.\nAnswer: 3, 17, 31, 31121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -63, -326, -771, -1404, -2231?\n\"Answer: -n**3 - 85*n**2 - n + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-15)\/(-4) - 5\/60)*6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 at most as big as 7968\/155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15081 and 132?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2080.7 rounded to the nearest 100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 5*p**2 + 9*p + 19. Let q be v(-10). Calculate the smallest common multiple of 1 - (-26)\/(-22) - (-7800)\/q and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g**2 + 1. Let c(p) = -20*p**2 - 635*p - 5. Calculate -c(u) - 6*x(u).\nAnswer: 2*u**2 + 635*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64202 is divided by 350.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2 + 0*k**3 + 5*k**3 - 1 - 7*k**2 - 3*k. Suppose 2*f + s - 7 = 0, 2*f - 5 = -f + 4*s. Let q(y) = -y**3 + y**2 + y. Determine f*q(a) + g(a).\nAnswer: 2*a**3 - 2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 60 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62 - 57. Solve 4*o - 3*n = 20 + 12, -5*o = -d*n - 45 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 0*b - 14*b + 7*b + 8*b - 9. Let n be c(9). Solve -7*r + 5*r = n for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 8*q**2 + 8*q - 4. Let n be i(-9). Suppose 2*m + 63 = n*m. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1638 and 2094261.\nAnswer: 87958962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 + 2 + -2 + -1 + -6. Let y(v) = -2*v**2 - v - 15. Calculate y(g).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -11.2. Let l = a - -6.2. Let b be 48\/80*(-2)\/3. Sort l, -0.2, b.\nAnswer: b, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*v + 0*v + 4*v)*(1 + 0 - 4) + (-3*v - 22 + 22)*(1 + 0 - 2) to the form n*v + m and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 2.029 (c) -0.0398\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -14 - 0. Let m be h*((-6)\/(-4))\/1. Let n = -21 - m. Solve 3*t - 5*f + 8 = n, 0*t - 5*f = -5*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -547*m = -3*b - 550*m + 21, b - 3*m = -5 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -411694 by 15.\nAnswer: -411694\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 24125\/(-2)*21\/(525\/(-20))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*1 - 12\/3) + (-14391)\/(-2583)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 6*r + 122 = 0, -5*a + 248*r - 245*r = -31 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 10 = -2*q, 5*c + 497381 - 497331 = 15*q for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 4:26 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44422532 divided by 133.\nAnswer: -334004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-18) - 76\/(-18). Let q(t) = -8*t + 2. Let h(z) = -19*z - 162. Let v be h(-11). Let m(u) = -51*u + 23 - 22 + v*u. Determine l*q(n) - 9*m(n).\nAnswer: 4*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and 38232315625.\nAnswer: 38232315625.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3030006 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: Is 34474 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-8)*(66\/(-9) - -2). Let y(s) = 4*s**3 + s**2 - 1. Let n be y(1). Solve n*t = x - 6, t = -4*x + p - 1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 24\/16*8\/(-6). Calculate the lowest common multiple of (-18)\/27*(-20 - y) and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 871 = 6*o + 343. Let q(w) be the third derivative of -w**6\/120 + w**5\/12 - w**4\/12 + w**3\/3 + 26*w**2. What is the remainder when o is divided by q(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3299*x + 3339 + 19148 - 37619 = 77240 for x.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20091?\nAnswer: 3, 37, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -54 - 270. Let j(h) = h**2 + 51*h + 464. Let i be j(-15). Let x = i + k. Solve -3*p + 40 = x*l, 2*l + 2*p = 6*l - 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a century in months?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 7:24 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*3\/(-6))\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4 - 5 + (-2 + 3 + 1)*(1 + 3 - 2))*(-98*l**2 - 137*l**2 - 2684*l**4 + 235*l**2).\nAnswer: -18788*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -881, -867, -853, -839?\nAnswer: -825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/(-98)*7 - (-35865 + -1 + 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1620 - 882 = -139*o for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kflm when four letters picked without replacement from {l: 4, c: 5, k: 6, f: 1, m: 4}?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -9. Let s = i - 3. Let d(u) = u**3 - 6*u**2 + 6*u + 4. Give d(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 437, 937, 1475, 2069, 2737, 3497?\n\"Answer: 3*y**3 + y**2 + 476*y - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1874 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 252 + -179. Calculate the remainder when a is divided by 18.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -250280779 less than -250280779?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24943775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 337 and 4536391.\nAnswer: 4536728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -6*f**2. Let w(c) = 2*c + 16. Let p be w(-7). Let u(x) = 5 - 2 - 3 - p*x. What is u(a(s))?\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + -2. Let t be -3 - 1\/((-120)\/376). Which is the second smallest value? (a) t (b) g (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z = -32*z + 1386. Let g(b) = -b - 1. Let j be g(-6). Suppose -j*x = -z + 8. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -14 + 2464\/165.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9790*d - 15420*d + 6856*d)*(-3 + 1 + 3) to t*d + q and give t.\nAnswer: -18354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1 + 5 + ((sqrt(1584) + sqrt(1584) + sqrt(1584) + sqrt(1584) + (-1*sqrt(1584) - sqrt(1584)) + 5)**2 - (4 + (-2 + sqrt(1584))**2)) + 4.\nAnswer: 288*sqrt(11) + 4778","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 - -0.65963089119053?\nAnswer: 0.05963089119053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - c. Suppose -3*m - m = c. Suppose m = 5*k - 9*k. Solve -2*r - 4*n = -0*n - 8, k = r - 3*n + 11 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7527 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19852 is divided by 7996?\nAnswer: 3860","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45688226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z\/z**(-1\/5))\/(z*z**(-1\/6)))**0\/(((z**(2\/7)*z*z)\/z)**(2\/21)*z**(-2\/7)*z*z\/((z*z**5\/z*z)\/z)) assuming z is positive.\nAnswer: z**(155\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 106.001 - 0.001. Let x = -105.99221 + a. Round x to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 5*f - 0*f. Let o = -5 - f. Factor 3*c + 15*c**3 + 3*c**5 + 9*c**2 + 14*c**4 - c - o*c**4.\nAnswer: c*(c + 1)**3*(3*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/3)\/f)**(-3\/17))**(-14) assuming f is positive.\nAnswer: f**(-14\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 115.9676 millimeters?\nAnswer: 115967600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*u - 22 = -5*y, -2*y - 2*u = 2. Suppose -y*k - 33 = -7. Is -12 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -130375, -130370, -130351, -130318, -130271, -130210, -130135?\nAnswer: -130046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 15, 3, 6 in descending order.\nAnswer: 15, 6, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10012110000212 + 2?\nAnswer: -10012110000210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3696*g**5 - 394*g - 4?\nAnswer: 73920*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*a = -174, 3*a = -37*u + 39*u - 90. Calculate the highest common divisor of u and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 117, 119, 121?\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q - 3*o + 21, -3*q + o + 4 = -1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8*(1 - 4\/16). Let p be 1*4\/(o + -2). Let z = -7 + 5. Which is bigger: z or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19457847 and 30267762.\nAnswer: 272409858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*g - 3. Let x be (1\/(-1))\/((-1)\/5). Suppose 0 = 2*i + 3*s + 4, 3*s + 11 = x*i - 0*s. Which is greater: g or i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*b - 7*b = -84 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7465312 years in centuries?\nAnswer: 0.007465312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 585.0426ml?\nAnswer: 0.5850426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*o + 9453107 - 9454627 for o.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -7*z. Let y = 169 - 111. Suppose -b + y = r + 11, -4*b + 220 = -4*r. Let s(j) = -53*j + 102*j - b*j. What is a(s(o))?\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 8*f - 5. Let n(l) = -l**3 + 3*l**2 - l - 6. Let g be n(3). Let k(b) = -22*b - 16*b + 21*b + 11. What is g*j(s) - 4*k(s)?\nAnswer: -4*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2897325 divided by 579465?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10*2\/(-4))\/(1035\/207).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1159877?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5730 and 10?\nAnswer: 5730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 11*g**3 + 44*g**2 + 117*g + 484. What is x(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by -131742.\nAnswer: 5\/43914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29144415\/2 + 4954979263\/340. Let n = m - 6306\/5. What is the common denominator of -65\/32 and n?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87071.\nAnswer: 87071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8 + (1204\/22)\/(-7). Which is the fourth smallest value? (a) q (b) -2\/21 (c) 3 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16705 - 16627. Which is the nearest to 0.2? (a) p (b) -11 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**4 - 6*n**4 + 3*n**4 + 3*n**4 + n**4 - 5*n**4 + (0*n**3 + 0*n**3 - 2*n**4)*(-1 + 4 - 2) + (-2*n**3 + 2*n**3 - 3*n**3)*(-53*n + 22*n - 140*n).\nAnswer: 508*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7950 and 3975?\nAnswer: 7950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5*j - 24 = 0, 3*m + 7*j = 2*j + 53. Let w = 159 + -116. Calculate the remainder when w is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144177 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 3*u**2 - 5*u + 13. Let n(c) = -2*c**3 + c**2 - 4*c + 16. Let v(a) = 3*d(a) - 2*n(a). Determine v(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-406)\/(-140) + (-2)\/(-20). Let g be 0\/((-2 + 5\/10)*2). Suppose g = 27*t - 16*t - 33. Solve t*m - 23 = -2*k, n*m = -k + 6 + 13 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-693)\/55)\/7)\/(2\/10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*j - 164 + 44 = -94*j for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g**2 - 12. Suppose -133*d + 130*d + 24 = 4*r, -4*r + 2*d = 16. What is t(r)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t**3 - t**3 - 3*t**3 + (t**2 + t**2 - 3*t**2)*(4*t - 2*t + 0*t) - 10*t**3 - 5*t**3 + 6*t**3)*(57*t - 166 + 166).\nAnswer: -570*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*s + 389482 = -97*s + 24820. List the prime factors of s.\nAnswer: 3, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/4*4\/(-20). Let k be ((1\/4)\/(-1))\/(-1). Let l(i) = -i**2 + 4*i + 1. Let r be l(3). Which is the biggest value? (a) k (b) h (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 6:20 AM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, 0.09, -0.5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -132*f + 215*f - 1 - 84*f. Suppose -15*l + 12*l - 18 = 0. Give k(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 16*s**2 - 35*s - 9. Let d be k(18). Suppose -8*v - 6389 = -d*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(28) - (sqrt(112) - (sqrt(112) + sqrt(112)*2 - sqrt(112)))))\/(-6*sqrt(2304)\/sqrt(9)).\nAnswer: sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/1908 and -81\/424?\nAnswer: 3816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i**2 + 2*i + 4. Let x(w) = -4*w**2 - 4*w + 2. Let y(c) = c**2 + c - 1. Let q(n) = -x(n) - 3*y(n). Determine -h(t) + 2*q(t).\nAnswer: -t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(7\/3)*((u\/(u**(-5)\/u*u*u))\/u*u*u)\/u)\/(u**(-2)*u)**(5\/8) assuming u is positive.\nAnswer: u**(191\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/121, -4\/3, -9\/5, -8, -3?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -5025327?\nAnswer: -5025327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42*(-255)\/2975)\/(((-6)\/10)\/(24\/(-8))).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -6*o - 3. Let y be (-6)\/21 - (-12)\/(-7). What are the prime factors of z(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3 + 21*d**2 + 210*d + 312.\nAnswer: -3*(d - 13)*(d + 2)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -8, -2*d - 2*o = -0*o - 18. Suppose 0 = 5*w - 4 + 24. Let q = 0 - w. Solve q*k - d = -k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135164149.\nAnswer: 439, 307891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o**4*r - 34211*o**3*r*y - 264*o**2*r*y - 2*o**2*r + 4*o**2 - o*y + r*y wrt o?\nAnswer: -48*o*r - 205266*r*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -7*q + 73. Let k be m(11). What is the remainder when 59 is divided by (k\/(-14))\/((-6)\/(-651))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 131.515 - 0.415. Let k = i + -107. What is k rounded to 0 decimal places?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000496547827 rounded to 7 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 207700 and 4824?\nAnswer: 3738600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) 3 (c) 1.5 (d) 839 (e) 5 (f) 0.3 (g) 13\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 3*i - 45. Let j be g(-16). Let u = -251 - j. Solve a - u = -1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 36*((-1)\/(-2))\/1. Suppose 6722 = -17*m + v*m. Let y = m + -1885. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z - 1. Suppose 162 - 147 = -5*q. Let t be (4\/10)\/((-1)\/(-5)). Let b(o) = -2*o + 5*o - 2 - t*o. Give q*b(g) + 5*c(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -8. Let c be ((-6)\/3)\/2*m. Let j(q) = -q - 4. Let s(d) = -2*d - 9. Let v be (1\/(-3))\/((-2)\/54). Determine c*s(x) + v*j(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -4.5. Which is smaller: -0.2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**3 - 3*p**2 + p + 1. Let o be n(1). Which is the third biggest value? (a) -0.2 (b) 0.5 (c) 2\/3 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 - 2*r - 2. Let t be c(8). Calculate the greatest common divisor of t and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 1 = -3*o, -4*u + 0*u = 5*o - 9. What is the nearest to 19 in u, -1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -5*b + 4*g, -2*b + 4*g = -0*g + 24. Let w = b - -4. Find the second derivative of -w*u + u**2 - 3*u**2 + u**2 wrt u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 4*f - 21360, -52*v = -51*v + 6. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-3864))\/(1\/(-4))*(-45)\/(-15)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1842\/31721?\nAnswer: -1842\/31721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -960*w**2 + 11. Let u(s) = 478*s**2 - 5. Give -5*u(k) - 2*y(k).\nAnswer: -470*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bpwp when four letters picked without replacement from wbbbbbbpbbpbpp?\nAnswer: 9\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(3\/7)*y*y**(-2\/11))**(-6\/17) assuming y is positive.\nAnswer: y**(-642\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 71*g**3 + 8*g**2 + 26. Let b be 48\/(-9)*(-9)\/6. Let i(x) = 47*x**3 + 5*x**2 + 17. Let n(v) = b*i(v) - 5*f(v). What is the derivative of n(s) wrt s?\nAnswer: 63*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11826a (base 13) to base 8\nAnswer: 1460100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of r**5\/20 + 2*r**4\/3 - 5*r**3\/3 - 2*r**2 - 3*r. Let d be b(-9). Solve i = -d*z - 7, -i + 3*z - 3 = -4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 575937629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-3 - -1)\/(8\/(-108) + (-16720)\/(-156465))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - h + 6. Calculate the lowest common multiple of (-1173)\/(-85) + (-117)\/65 and m(8).\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -93 - -96. Suppose -3*t + 48 + 3 = 0. Suppose 0 = 2*w + 3*n - t, -w + 7 = 5*n - 12. Solve w*s + l + 3*l = 40, 25 = 2*s + h*l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -403 in -1422\/19, 1\/7, -4?\nAnswer: -1422\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -24*c*j**3 + 2361*c*j - 8*c - 1610*j**3 - 127 wrt c?\nAnswer: -24*j**3 + 2361*j - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.002 - -0.502. Let k(g) = -g**2 - 14*g + 204. Let w be k(-23). Let v = -113 - -1019\/9. Which is the nearest to v? (a) w (b) x (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4)*2 + (-6 - -10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001323 to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 173 divided by -58\nAnswer: -173\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of 1\/240*g**5 + 0*g**3 - 7*g**2 + 0*g + 0 - 1\/96*g**4. Factor m(f).\nAnswer: f*(f - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-2)*11\/(-187)\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -16*x + 110. Calculate the remainder when g(0) is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 o, and 1 f when four letters picked without replacement from {f: 2, b: 8, o: 2, g: 2, m: 1, n: 5}?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.8 + -4.6. Is 6 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1*(2 + -2))\/2. Suppose -5*m + d = -16, 4*m + 0*m + 3*d - 9 = 0. What is the second derivative of -x + 2*x + w*x + x**m wrt x?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 3*w**2 + 3*w + 4. What is the remainder when g(-5) is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*4*(-2 + (sqrt(245) + sqrt(245) + -2)*3)*-3)**2*-3*6.\nAnswer: -207245952 + 15676416*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 12*n**2 - 533*n - 2065. Give p(48).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26.2 - -26.5. Let n = 11\/2 - 5. What is the nearest to n in 0, q, -3\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4453201 (base 6) to base 3.\nAnswer: 102102112201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/16192499 and -57\/3159512?\nAnswer: 129539992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 + 33. Let a(s) = -s**2 + s + 18. Let z be a(0). Let w = z - k. What is the remainder when w is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 3*l - 5, 0 = 151*l - 152*l + 2*x. Solve l*h = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 take away 26501822980?\nAnswer: -26501823000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/2 and -49\/1236.\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3401 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 -91 + (4 + -18 - (27 + -52 + 11))?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**2*i)\/(i*i**9) assuming i is positive.\nAnswer: i**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8638 + 10891. What is the thousands digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 585?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1435050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 274.353 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.954 + -0.046. Sort 1, 0.3, l, -3 in increasing order.\nAnswer: -3, l, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3*p - 5. Let f(n) = -2*n - 41. Let l be f(-19). Let g be b(l). Suppose -3*y + 5*z + 53 = 0, g*y - 3*y + z = 15. Is y a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -4*t**3\/3 - 4*t**2 - t. Let y = -255 - -261. Let i(w) = w + 1. Calculate y*i(j) + b(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.155 (b) -3\/7 (c) -2\/3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -5*j - 8 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 26784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2185463209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.77 - 6.17. Which is the fourth biggest value? (a) -1\/2 (b) 5 (c) z (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -5260 + 6*v + 15773 - 5255 - 5255 + 2*v**3 - 5*v**3. Let y(f) = -16*f**3 - f**2 + 31*f + 16. What is -11*m(j) + 2*y(j)?\nAnswer: j**3 - 2*j**2 - 4*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -6091 < 4473?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12 and 0.11.\nAnswer: -1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 614877 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 153*v**2 + 13*v - 67. Is z(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**3 - 1 + 1)*(r**2 - 3*r**2 + r**2) - 7*r**5 - 4*r**5 + 4*r**5 + r**5 + r**5 + 0*r**5.\nAnswer: -7*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**4\/5 - 1526*w**3\/5 - 179558*w**2\/5 + 1524246*w\/5 - 268632 = 0.\nAnswer: -615, -156, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5284560\/101 or 52323?\nAnswer: 5284560\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/4 (b) -248 (c) -85\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6635.06 + 102.06. What is the smallest value in -5, i, 2\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 6 = 2, 4*v - 4*d = 36. Let l(q) = 1 + 4 - 1 - q. Let c be l(0). Solve c*j + 5 = g - 13, -v*g = 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -490*h = -257*h - 248*h + 30. Solve 5*i = h*a - 18, -3*a + 14 + 6 = -4*i for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 4*a - 14 + 133, 61 = f + 4*a. Let b be 915\/f + 4\/6. Let j be (-99)\/b + (2 - -1). Which is smaller: 2\/3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - x - 27 = x, -4*x - 37 = -o. Let y = 49 + o. Suppose -y = -0*j - 2*j. What is the remainder when j is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**2 - 3*b + 94. Determine u(12).\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 66 + -54. What is the smallest common multiple of 18 and v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by 27.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1497, -3872, -6857, -10452, -14657, -19472?\n\"Answer: -305*h**2 - 1460*h + 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1360, -1236, -1110, -982, -852, -720?\nAnswer: -586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2617*j - 90 = -2622*j. Let q(p) = p**2 - 17*p - 14. Calculate q(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m + 7. Let b be z(-2). Solve -n + 5*w - 4 = 25, -b*n = w + 7 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 95*v + 4467. Let m be c(-47). Factor -2\/5*k**3 + 16\/5*k - 2\/5*k**m + 24\/5.\nAnswer: -2*(k - 3)*(k + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -w**5\/12 - 185*w**4\/12 - 6845*w**3\/6 + 3954*w**2. Solve h(x) = 0.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1422590046 to the nearest integer?\nAnswer: 37717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) 5 (c) -1.89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -444, 756, -2, -1, -5 in decreasing order.\nAnswer: 756, -1, -2, -5, -444","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*a + 14*a - 2*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -3. Solve 2*j + 7 - g = -2*i, 3*j - 3*i - 9 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 20*t + 30. Suppose 0 = -12*n + 6*n + 36. Let r(l) = 10*l + 15. Let g(k) = n*a(k) - 13*r(k). Does 11 divide g(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159*(-2 - -4)\/(1 - -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-31 + 13 + 8) - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(2\/7)\/f)\/f**(-5))\/(f**(-2\/7)*f**(-1\/2)))\/((f*f*f**3)\/(f\/f**(2\/5)))**20 assuming f is positive.\nAnswer: f**(-1161\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -17 (b) 1 (c) 4 (d) 32 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 434775209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2 + 15 = b, -5*b = 3*p - 93. Calculate the lowest common multiple of b and 38.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 x when three letters picked without replacement from icciiccx?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 2:31 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**4 - 6832*m**3 + 337074*m**2 - 653648*m + 323407 = 0.\nAnswer: -6881, 1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, b: 4, e: 2, u: 1, p: 8}. What is prob of picking 1 b and 2 e?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**4 + x**2 - x - 1. Let s(p) = -10*p**4 - 280*p**3 + 825*p**2 - 815*p + 250. Let k(j) = -s(j) + 15*y(j). Suppose k(v) = 0. What is v?\nAnswer: 1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1996 - -1999. Which is the closest to 23? (a) -2 (b) h (c) -2\/13 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 58, 90, 124, 160, 198, 238, 280?\n\"Answer: o**2 + 29*o + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26337935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y + 20*y + 44*y + (0*y + 0*y - y)*(5 - 3 - 1) as n + a*y and give a.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 49. Let a(y) = 44 - p + 4*y. Let t(r) = 9*r. Determine -14*a(z) + 6*t(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -24672698 divided by 536363\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -15*k - 181. Let j = -11903 + 11891. Determine f(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134056615543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iuu when three letters picked without replacement from {i: 1, u: 18}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12 - 9)*((-4)\/(-12) + -3). Let y(c) = c**3 + 11*c**2 + 23*c - 5. Let k be y(r). Solve -2*l - 3 = g - k*l, 2*g - 3*l = -9 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18893375?\nAnswer: 5, 17, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 69*r**3 - 3*r**2 + 3*r. Let a be l(1). Suppose -a = -20*g + 31. Solve -g*h + 13*h = 32 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 765 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.431 rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1778453 (base 12) to base 6\nAnswer: 252430543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t - 4. Let x be d(-6). Let j be x + -3 - (-122 + 0). What is the greatest common factor of j and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2211)\/(-15) - 6\/(-10). Let g(t) = 2*t**3 - 29*t**2 + 37*t - 32. Let l be g(14). Suppose -l = 143*p - n*p. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/11)\/(s**2\/s))\/(((s\/s**(-2\/5))\/s)\/(s\/s**(-2\/7))))**(4\/17) assuming s is positive.\nAnswer: s**(-456\/6545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 2. Let j(a) = -a - 11. Let b be j(-14). Suppose 0 = -u - 2*s + 8, 4*u + 4 = b*s + 3. Put m, u, -7 in decreasing order.\nAnswer: u, m, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 1:29 AM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/15 + 2\/(-5). Let v(g) be the third derivative of -g**4\/8 - g**3\/3 + 393*g**2. Give v(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -1\/3, 3, -0.05 in increasing order.\nAnswer: -1\/3, -0.05, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -62352 divided by -6?\nAnswer: 10392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3 + 1175*s + 1 + 1882*s. Let w be z(3). Let j = w + -4169. Round j to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -201 - -200.9. Are 44\/5 and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-10) + 11774\/70. Let f = 1180\/7 - k. Let o = -2.4 + 0.4. What is the second biggest value in f, -3\/4, o, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -65 + 64.8. What is the closest to 0.05 in g, -0.4, 2\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*d**2 + 42*d**2 - 74*d**2 + 0*d**4 - 6*d**4 + 39*d**3 to the form m*d**4 + a*d + q*d**2 + v*d**3 + x and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/391 in -0.06, -5, 9, -4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 487591473?\nAnswer: 3, 162530491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43499526 by -7.\nAnswer: 6214218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 37*r + 25*r**2 - 13*r**2 - 14*r - 11*r**2.\nAnswer: r*(r + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3942 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 342398573\/4 equal to 85599643?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (4 - -3 - (4 + 0)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 3:27 PM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*i**2 + 2*i.\nAnswer: 2*i*(4*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 251289?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*x + 3*x - 3*g, -4*x + 7 = 5*g. Calculate the highest common factor of 9 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 7*t - a + 59 = 0, -3*t + 3*a - 87 = 0. Let r = -35 - t. Let z = r - -31. Solve 2*l + z = -5*w + 5*l, 4*l - 4 = -w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*v + 175 - 472 = 0 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1252 by -1.\nAnswer: -1252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -12. Let l = -1.5 + -6.5. Let i = z - l. What is the third smallest value in -2, 4, i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.09 and 83.8.\nAnswer: 7.542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z - 3. Let d be j(-20). Is d\/((3 + -4)*1) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.31 + 0.29. Which is smaller: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6741251 is divided by 38?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/20 and -41\/312?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 31*s + 1. Let k be (4\/18)\/(-4*2\/(-72)). Suppose 5*f = c + 470, k*f - 5*c = 22 + 189. Calculate the remainder when f is divided by q(1).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty ninths of a week in minutes?\nAnswer: 22400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*c**6 + 7*c**2 + 119*c**6 - 2*c**5 - 10*c**2 + 47 + 0*c**2 wrt c?\nAnswer: 17760*c**3 - 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.6 + 13.8. Let h = j - 10.2. Which is the smallest value? (a) h (b) -5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -8 + 2 + 3 - 6*k - k**2. Let d be q(-5). Let x = 0.6 + -0.4. Put -0.4, x, d in descending order.\nAnswer: d, x, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1467 - 750 - 782 - 9*j to c*j + f and give f.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -456 - -461. Suppose 5*g = -o*r + 50550, 5*g + 10116 = r - 0*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-1)*w*w*w*w)**(-5))**(2\/141))**(-39) assuming w is positive.\nAnswer: w**(390\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**3 - 2 + 2)*(b - b + b) - 2*b**2 + 2*b**2 + b**4 - 3*b**4 + 2*b**4 + 0*b**4 - 63660*b**4 + 63658*b**4 + 10*b**2 + 2*b**2 - 5.\nAnswer: -4*b**4 + 12*b**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 0*n = -2*n + 110, 0 = 4*k - n - 205. Calculate the remainder when k is divided by 28 + (-2 + -1 - -3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-5 + (-13)\/(-2)) + 6. Suppose 21*w + u = 23. Which is bigger: 9 or w?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2101*d = 760*d - 87165 for d.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*z - 2. Calculate the smallest common multiple of 45\/4 + (-5)\/20 and ((-2)\/(-3))\/(z\/(-21)).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35595313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2995 + -3129.1. Let n = 202 - 74. Let r = n + w. What is r rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 4\/3*v + 1\/3 + v**2 = 0.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, t: 1, b: 3, o: 2, j: 5}. Give prob of picking 1 u, 1 o, and 2 j.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1323616?\nAnswer: 2, 7, 19, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 5*p + 4. Let g(f) = f**2 - 7*f + 6. Let r be g(5). Let z be c(r). Let y be z + 1 + (-6)\/10. Which is smaller: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2782 and 5423402?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -5. Suppose 0 = 2*y - 2, -2*p = t*p - 2*y - 63. Calculate the remainder when (2 - 2) + p\/1 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 3*f + 126, -x + 69 = -3*x + f. Let r = 62 + x. Let u = r + -14. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + (((0 + sqrt(637))*6 - sqrt(637)*2*-2) + 1)**2).\nAnswer: -63696 - 140*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, u: 2, n: 2, e: 1, t: 2, a: 1}. What is prob of sequence fut?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 452358 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 169729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 144062435?\nAnswer: -144062430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4362 - -2859. What is the thousands digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14859 and 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/5)\/(2\/10). Let d(h) = 833*h - 3329. Let q be d(4). Solve k + f - 2*f + q = 0, 0 = 2*k + u*f + 10 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83679 = -4*n - 7*l - 83592, 3*l - 39 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 1, 3, -44, 4116, 0.\nAnswer: -44, -2, 0, 1, 3, 4, 4116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, n: 7, w: 3}. What is prob of picking 2 n and 1 t?\nAnswer: 63\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 6*i + 4. Let s(c) = c**2 - 13*c + 5. Let y be s(13). Calculate x(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-997 - t**2 + t + 498 + 494)*((4*t + t - 3*t)*(0*t**2 + 0*t**2 + t**2) - 3 + 3 - t**3 - 597 + 597 - 30*t**3).\nAnswer: 29*t**5 - 29*t**4 + 145*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 2:41 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5 - 27 + 13 + 9 - b**2. Let k(t) = 15*t. Calculate p(k(z)).\nAnswer: -225*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4663 divided by 20?\nAnswer: 4663\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 773.7916ng to milligrams.\nAnswer: 0.0007737916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o + 21. Let m be q(0). Suppose -s + 4*x = -20, 0*s = -3*s - x + m. Suppose -65 = -s*z - 49. Solve 3*p + 0*p + 9 = -z*k, 4*p = -k - 12 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8024 and 1652.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k + 10. Let c be a(9). Let o(d) = 64*d**3 + 2*d**2 - d. What is the remainder when o(c) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*b + 5. Suppose -104 = 2*y + b*y. Is (-4)\/y + 9025\/65 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.1 - 1.9. Let t = 5 + r. What is the second biggest value in t, -4\/7, -2\/11?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -613, -1225, -1833, -2437, -3037, -3633, -4225?\n\"Answer: 2*v**2 - 618*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1448 bigger than 1452?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 893 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4046 or 7?\nAnswer: 4046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 9 = 4*b. Suppose -3*g = -2*a + 42, a - 14 = b*g + 10. What is the remainder when (6 + -19)\/((-3)\/12) is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 340872.2 rounded to the nearest one thousand?\nAnswer: 341000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -b65b145?\nAnswer: b65b142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**4 - 37118*v**3 - 259760*v**2 - 593688*v - 445248 = 0.\nAnswer: -18552, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2361987 is divided by 590496.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 29301*p = 29302*p - 3, -5*p = -5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -k**5\/20 - k**3\/6 - 12*k**2 + 48*k. Determine l(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-975)\/(-104) + (-9)\/6 and ((-2)\/(-5))\/(4\/155).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ctpyycztzcccppcttt. What is prob of picking 1 y, 1 p, 1 c, and 1 z?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 2*q = -a + 3, 0 = -q + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 1810?\nAnswer: 1806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 93 = -804. Let z = -578 - -394. Let j be (7\/(-14))\/(2\/z). What is the highest common divisor of j and q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4 = d, 2*d - 20 = 3*h - 8*h. Suppose d = -3*v + 2 + 13. Suppose 4*x = -0*x - 40. Sort 1, v, x in descending order.\nAnswer: v, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -520405 less than 23?\nAnswer: 520428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*v**2 - 70*v - 17*v + 6*v**2 - 82*v.\nAnswer: -5*v**2 - 169*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 5)*(2*u - 2*u - u) + (-85*u + 222*u - 82*u)*(-3 + 1 + 8).\nAnswer: 332*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17936 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 f when four letters picked without replacement from frffxxfffffffxf.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5910)\/(-119973)*147\/210?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11404*z**3 + z**2 - 1262?\nAnswer: 68424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-86)\/258 - ((-1)\/3 + -2). Let f(k) be the second derivative of 24*k - 1\/6*k**3 - 5\/2*k**n + 0. Determine f(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -0.15, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 4) + 78\/18. Let o = 7 - 2. Let l be 2 - (-2)\/8 - 2. Which is the nearest to l? (a) o (b) -0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 535303.\nAnswer: 535303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -f + 835975*u - 835977*u + 14, -4*f - 7*u = -236 for f.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 4*a + 106510, -6*g + a - 21293 = -7*g. What are the prime factors of g?\nAnswer: 2, 23, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 0.2, 0.5, 38.29?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -0*t + 8, -78 = 2*u - 2*t. Let x = u - -29. Let g be (-4)\/(-26) - x\/(-52)*5. Put -5, g, -4 in descending order.\nAnswer: g, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -20*7\/((-84)\/45)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1837 - 4962 = -25*v. What is the remainder when 494 is divided by v?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1168, 1\/8, 1\/27?\nAnswer: 1168","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -25*c - 43 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 1 + 4 = -q, -q = -u + 3. What is the least common multiple of (-25)\/(-2)*(-12)\/(-15) and (-6 + u)*-1 - 0?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 15. Solve 3*f = i*f - 2*l + 23, -6 = -2*f - 4*l for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from deydynendnnnnnne. What is prob of sequence dyn?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiet when four letters picked without replacement from iiiitiieitiieii?\nAnswer: 11\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -4*b**6 - 14*b**3\/3 - 24. What is the third derivative of v(j) wrt j?\nAnswer: -1440*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -100*t**2 + 12*t + 31. Let u(n) = 299*n**2 - 34*n - 94. Let k be (-47)\/141*(1 - (-49 + -1)). Let d(p) = k*f(p) - 6*u(p). Differentiate d(c) wrt c.\nAnswer: -188*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101011011 (base 2) to base 14.\nAnswer: -1ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 75391 and 0.5.\nAnswer: 37695.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*y - 7*y, 4*l - y - 7 = 0. Suppose 0*t = l*t - 24. Suppose -t*i + 20 = -3*i. Calculate the remainder when 6 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 78, -19, -4 in ascending order.\nAnswer: -19, -4, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149848 + 2276 = 21*r. Is ((-3)\/((-48)\/r))\/((-2)\/(-8)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -783*n - 12. Let x(p) = 782*p + 14. Calculate 6*b(u) + 5*x(u).\nAnswer: -788*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 2*c. Suppose -4*d = v + 5, -5*v + 4*v = 3*d + 4. Let y = v - c. Put y, 4, -3 in descending order.\nAnswer: 4, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -23*y**4\/3 - 49*y**2\/2 - 202*y + 155. Let m(o) be the first derivative of u(o). Find the first derivative of m(l) wrt l.\nAnswer: -184*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**(-4)*q*q)\/q)\/q)\/q**8)**(1\/7)*((q\/(q**0*q))**(3\/14))**45 assuming q is positive.\nAnswer: q**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/7 >= 618?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a + 26. Give o(-17).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5015829083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*x - 53 = 0, -11*a + 3*x = -8*a - 54. Let l = -166 - -166. What is the nearest to 1 in l, -0.5, a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -614 + -2?\nAnswer: -616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -66.1 + 72. Let j = -5.8 + m. Which is the smallest value? (a) -4 (b) j (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -4*f**2 - 5*f - 16. Let n(a) = 2*a**2 + 2*a + 11. Let y(q) = 11*n(q) + 6*o(q). Calculate y(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + h + 1201, 3*r - 1764 = -3*h + 33. Suppose -6*b + b = -4*x + 606, 0 = 4*x - 2*b - r. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 3*o**2 + 4*o + 0*o**3 - 4*o**2 + 3*o**2 + 4. Calculate z(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320988 is divided by 411.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/3)\/(5\/45). Let h = -65 + 59. What is the units digit of ((-1)\/m)\/(h\/180)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*v - 15*v - 24*v - 26*v + 19*v)*(23*v**3 + 19*v**3 + 8*v**3).\nAnswer: -1950*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2618*o**2\/5 - 15566*o\/5 - 888 = 0. What is o?\nAnswer: -3\/11, 740\/119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**5\/2 - 9*a**4\/2 + 21*a**3\/2 - 11*a**2\/2.\nAnswer: -a**2*(a - 1)**2*(a + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2519533 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.98 - -2.88. Which is the nearest to s? (a) -10 (b) 1 (c) -0.2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + -2. Let h(q) = q**2 + 10*q + 8. Let w be h(z). Let m(t) = 5*t**2 + 5*t + 11. Is m(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 3 - (-19 - -22) - -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of f**8\/112 + f**4\/24 + f**2 - 3. Let d(o) be the second derivative of h(o). What is the second derivative of d(n) wrt n?\nAnswer: 60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -5395*f**3 + 695969*f**2\/3 + 1456048*f\/3 - 420 = 0.\nAnswer: -2, 14\/16185, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(1\/4)\/i)\/i)**(-2\/21)\/(i**(3\/7)*i*i*i*i*i**(-4\/7)))\/(i**(3\/10)\/i**(-5)*(i**(-2\/5))**(4\/19)) assuming i is positive.\nAnswer: i**(-17768\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*j - 19*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-488)\/854)\/(20\/910).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3523650 and 3718.\nAnswer: 38760150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.136 in 10\/7, -3, 0, -14868?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*h - 17, 0 = 5*s - 7 - 18. List the prime factors of (-12 - ((-12)\/h)\/(-2))\/(-1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 76523*q. Let i(n) = 10*n. Give i(k(g)).\nAnswer: -10*g**2 + 765230*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 48*b**2 - 25*b + 131. Is h(-45) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1234 + 2*p**4 - 2*p**3 - 1235 + p**3 + p in the form x*p**4 + i*p + s*p**3 + n*p**2 + v and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**2 - r**2 + 4*r**2 + (1 + 1 - 3)*(-3*r - r**2 + 3*r) + 48245 - 96491 + 48246 + 38721*r**2.\nAnswer: 38723*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 2*a - 2*g - 8, -1 = g. Suppose 4*p + 4*t + t = 106, a*p - 5*t - 38 = 0. Suppose -2*h = -4, 4*b - p = 3*h + 862. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 21*v + 175. Give z(-10).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mjl when three letters picked without replacement from jlljmilillilllmjj.\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -61, -141 in decreasing order.\nAnswer: -2, -61, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**2 + 27*k + 36. Calculate h(15).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -1.96. Let o = g + 0.14. What is the biggest value in -2\/7, o, -2\/13?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/90428247 and 79\/492?\nAnswer: 361712988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3*y. Suppose 4*t + t - 10 = y. Suppose -a = -d - 14, 4*a - t*d + 4*d = 44. Calculate the lowest common multiple of a and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y - 7. Let h be x(3). Let z(w) be the first derivative of -2 - w - 1\/2*w**2. Give z(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1213, -15, -4, 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10.134 + 10.134009543. Round d to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n + n - 2*n + (2 - 1 - 3)*(2*n - n - 3*n) - 5 - 3*n + 5)*(-42*n + 26*n + 3*n - 21) as i*n**2 + h + q*n and give i.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*o, -y - 7 = 3*o - 2. Let n = -1 + y. Let s be 1*(-3 - 2 - -1). Put s, -2, n in ascending order.\nAnswer: s, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9102, -11770, -19010, -33108, -56350, -91022, -139410, -203800?\n\"Answer: -381*s**3 - s - 8720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9375, -9379, -9383, -9387?\nAnswer: -9391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -p**4\/2 - 50*p - 4. Let x(w) = -80*w**2. Determine x(q(z)).\nAnswer: -2880*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -159*x - 322. Let d be t(-2). Sort 5, -723, d in decreasing order.\nAnswer: 5, d, -723","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 525*k - 529*k + 20 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 583 divided by 5769\nAnswer: 583\/5769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 4:47 AM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9, -32, -75, -144, -245, -384, -567, -800?\n\"Answer: -u**3 - 4*u**2 - 4*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*u = -35, -4*h = -4*u + 83 + 21. Let p = -17 - h. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 202*m. Let b(f) = -f. What is n(b(z))?\nAnswer: -202*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 121 - -130863?\nAnswer: 131084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 1942 + -694. List the prime factors of g.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1700) - sqrt(1700)*2))**2*-4.\nAnswer: -61200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 2*c + 2*c)*(c - 7*c + 4*c)*(1 - 5*c - 1)*(-25*c - 33*c - 15*c).\nAnswer: -1460*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1993105 is divided by 124554.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10393245059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, c: 3, q: 1, n: 2, s: 5}. Give prob of picking 1 c and 2 n.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/4)\/z**(-3\/2))\/(z\/((z\/z**(-1))\/z*z))**(-43)*(z**8\/(z**(-1\/3)*z))**(4\/19) assuming z is positive.\nAnswer: z**(-9281\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3820)\/(-573)*5\/(20\/(-3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -185 + 188. Let x = 0.8 + 0.2. What is the nearest to x in -0.5, -4, q?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*v + 3*v**2 - v**2 - 109*v.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((1 + -1 + sqrt(363))**2 + (0 + (sqrt(27) - sqrt(108)\/sqrt(4)))**2).\nAnswer: 1815","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 244920 and 2.\nAnswer: 244920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14.8 or -53\/5?\nAnswer: -53\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -291, 2.8, 0, 2\/9, -5, -7\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/17*z**4 - 48 - 2036\/17*z - 400\/17*z**3 - 1622\/17*z**2 = 0. What is z?\nAnswer: -2, -1, 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h\/((h\/h**35*h)\/h))))\/(h\/h**(-4\/13))*(h*h*(h\/(h**(-3\/4)*h))\/h)\/h*h**(2\/33) assuming h is positive.\nAnswer: h**(59207\/1716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 4*g - 12, 0*g = 4*a - 3*g + 17. Which is smaller: -9 or a?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2013?\nAnswer: 3, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and 3\/11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 0.139, -3\/17, -1\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2892 and 136724.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2053 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: Expand (-2 - d + 2)*(-d**2 + 0*d**2 + 3*d**2) + (1 - 2*d - 1)*(-183*d**2 - 185*d**2 + 2 + 366*d**2).\nAnswer: 2*d**3 - 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.696 rounded to two decimal places?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 7:37 PM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 578 + -197. Suppose v = -d + 6*d - b, 89 = d + 3*v. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 2:54 AM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -9*s**2 + 8*s - 246. Let z(r) = -2*r**2 + 3*r - 82. Let m(y) = 2*q(y) - 7*z(y). Differentiate m(b) wrt b.\nAnswer: -8*b - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -42*n**3 - 2*n - 5 + 38*n**3 + 2. Let y(z) = -7*z**3 - z**2 - 2*z - 5. Let u(o) = 5*q(o) - 3*y(o). Factor u(w).\nAnswer: w*(w - 1)*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3074254429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + -26. Let z be b\/(-2*(-3)\/6). Let q = -16 - z. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, -11, -67, -175, -353?\nAnswer: -619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**2 + 40*p - 2. Let i be k(20). Suppose -8*z - 21 = -11*z. Put z, i, -4 in ascending order.\nAnswer: -4, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70695893771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 5. Suppose 2*u = -r*u - k + 5, -5*u + 13 = 3*k. Find j, given that 0 + 2\/7*j**3 - 4\/7*j**u + 2\/7*j = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-616)\/(-132) + -1 + 1\/3. Suppose -v = i - 4. Suppose 3*j + 4*j - 14 = i. Is j a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 23*z - 626. Let g be q(16). Sort 0, 19, g.\nAnswer: g, 0, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16736*v + 16723*v + 16742*v - 50200*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -673.328 - -1.328. Which is smaller: 1\/3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -23. What is the remainder when 16 is divided by 1\/3 + (-78)\/x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 37*y**3 + 19*y**2 - 4*y. Let r(b) = 36*b**3 + 18*b**2 - 3*b. Let h(g) = 3*a(g) - 4*r(g). What is the third derivative of h(j) wrt j?\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37\/72 + -1\/72. Let v = 80\/333 + -2\/111. What is the nearest to b in v, -3\/4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 1553*f**3 + 3*f**2 - 3698*f + 3697. What is p(1)?\nAnswer: 1555","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -6. Put 1\/5, -3, g in decreasing order.\nAnswer: 1\/5, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.9709 - -1.8709. Let l = 0 - 0. Which is the biggest value? (a) -0.07 (b) 2\/23 (c) w (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + -24 - (-1 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 409850 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 39 + 1\/(-1 + 2). Suppose -5*v + 800 = -210. Let z = v - 142. What is the greatest common divisor of z and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 7:08 AM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 - 3ad9755?\nAnswer: -3ad974d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16170 and 595?\nAnswer: 274890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jdajabfadbbdrjdjf. Give prob of sequence dba.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -9*v**2\/2 + 21*v + 142. Let l(d) = -9*d + 17. Let f(m) = 7*l(m) - 6*o(m). Let s(g) = -3*g - 2. What is -2*f(n) + 7*s(n)?\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0*1\/(-3))\/(-1). Let i = 183.877 - 184. Let f = i - -0.123. Which is the closest to f? (a) -4 (b) 0.4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (33 + -16 + 5 - 13) + 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.65 - -0.65000082. Round k to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131 + (70 - 51) - -160?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 15 + 5. Let x be 24*(5\/2)\/t. Let k = 12 - 8. Solve k*l - x = 8*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -8. Suppose -4 = h*u - 29. Calculate the remainder when ((900 - -20)\/(-8))\/(-5) is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/((-7)\/(49\/(-14)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-9))**(1\/7) assuming g is positive.\nAnswer: g**(-9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15468 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -117 - -20335148?\nAnswer: 20335031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 124553828.\nAnswer: 1245538280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 - -364. What is the hundreds digit of i - (-10)\/(-30)*(0 - -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**4\/2 + 126*r**3 - 13317*r**2\/2 + 12941*r - 6408 = 0. Calculate r.\nAnswer: 1, 72, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 - 5652*b**2 + 11298*b - 5648.\nAnswer: 2*(b - 2824)*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5104148 and 357?\nAnswer: 15312444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1417 - 1413 = -x - 5*s, -5*x + 6 = -s for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194231 is divided by 218?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 832, 1659, 2484, 3307, 4128, 4947?\n\"Answer: -g**2 + 830*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 244.367 milligrams in micrograms?\nAnswer: 244367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d*d*d\/(d**(4\/13)*d)*d*d*d**(-2\/51)*d assuming d is positive.\nAnswer: d**(3748\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z + 4*z + 2 + 0*z + (32 - 16 - 22)*(-54 + 76 + 71)*(-4*z - 2*z + 0*z) to the form u + p*z and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 + (-12 + 27 - 25)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 6. Let f(r) = -3*r + 14. Let n(q) = -q**2 - 3*q + 8. Let a be n(-4). Let o be f(a). Solve o*x = -5*j - 13, m*j + 6 = -x - 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 116*l**2 - 112*l + 371. What is y(-115)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 9448, 18930, 28442, 37978, 47532, 57098?\n\"Answer: -t**3 + 21*t**2 + 9426*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -5. Let g(y) = -y**2 - 26. Determine -2*g(n) + 11*h(n).\nAnswer: 2*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 796951 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: Round -78300000 to the nearest 1000000.\nAnswer: -78000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -5\/3*g**6 - 11\/2*g**2 - 5 + 0*g + 0*g**4 + 0*g**3 + 0*g**5. Find the second derivative of q(r) wrt r.\nAnswer: -200*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 20 = 2*s. Let j(a) = -4 - 3*a**2 + 5*a**s + 4. Let n(x) = -38*x**2. Calculate j(n(v)).\nAnswer: 2888*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208*y**3 - 4*y**3 + 43*y**3 + 47*y**3.\nAnswer: 294*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 744665 is divided by 188.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 2 = -2*x - 13, -d + 7 = -2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -1, -446, -46, 272 in ascending order.\nAnswer: -446, -46, -1, 0.2, 272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 16 = 0, -2*j = -2*h - h + 376. Let q = -23 + h. List the prime factors of q.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 17, -1, 6 in descending order.\nAnswer: 17, 6, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 1.3. Let o = 1 - c. Suppose 25 = 2*y + 3*y. What is the third smallest value in y, 0.4, o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 + -25.6. Let q = -19 - 11. Let n = q - -29.7. Put z, 4, n, -0.4 in ascending order.\nAnswer: -0.4, n, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/11 - (5 + -3 + 0). Which is the smallest value? (a) 0.4 (b) f (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1293.74 + 1?\nAnswer: -1292.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 151046414 to the power of 1\/2, to the nearest integer?\nAnswer: 12290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-90)*324\/((-12)\/(-2)))\/(3\/4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/150 and 81\/20?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/245 - 1457\/3185. Is w less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 3, -1 in ascending order.\nAnswer: -1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 10465555.\nAnswer: 7\/10465555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 - (-2 - -10)\/(-1). Suppose -58 = -2*a + 4*n, 0 = 3*n + m + 11. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43367039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 11:38 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 78 + 43*d**2 - 17 - 17 - 21 - 36*d.\nAnswer: 43*d**2 - 36*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**3 - 18*y**2 - y - 13. Determine v(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + 4, 3*d + 5 - 1 = -4*f for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-10))**(-4\/19)*j\/(j*j*j\/((j\/(j**(7\/3)\/j))\/j))*j**(-2\/9) assuming j is positive.\nAnswer: j**(-248\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5038 and -0.2?\nAnswer: 1007.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6900*g + 3441*g + 3448*g.\nAnswer: -11*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 569\/4 (c) -2 (d) -1\/7 (e) -406\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**3 + 3*p**2 + 21*p + 71. Determine m(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 61\/200693 or -1?\nAnswer: 61\/200693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-9))\/((-6)\/(-9)). Let u(n) = -2 - 31*n + 2. Is u(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*z + 6 = 0, 2*u + 8*z - 12 = 4*z. Suppose u = 2*t - 4 - 14. Solve -5*q = h - t - 9, 0 = -3*h - q + 12 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - (-20)\/9) + 4\/(-18). Let u(l) = -4*l**d - 11 + 5*l + 3*l**2 - l**3 + 4 + 5*l**2. Determine u(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248*x + 4602 = -2342 for x.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 218\/5 + -44. Which is the nearest to 1\/4? (a) 5 (b) w (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-120)\/210 + (870\/(-21) - 16\/4)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/199? (a) -2 (b) 5 (c) -1\/5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 10:03 AM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*z + 34*z**3 + z - 4*z wrt z.\nAnswer: 204*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) -0.066 (c) 3 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1668.562 + -1695.3. Let d = -28 - g. Round d to 1 decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 441 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -50 + -10\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1605 + (2\/(-15) - (-28)\/(-15)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -16*x - 120. Calculate the least common multiple of 105 and v(-15).\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-7) + (-2)\/(-7). Suppose 4*c - 6 = a*h + 6, -2 = 3*c + 4*h. Suppose 5*m + 4*t - 27 = 0, -4*t + c*t - 4 = 0. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**6\/h*h))**19 assuming h is positive.\nAnswer: h**(-95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, r: 1, i: 1, e: 5, l: 2}. Give prob of picking 1 l, 1 e, and 1 t.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2786 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(2) + 5 + sqrt(2) + 4.\nAnswer: 2*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 2*q - 9, 4*q + 6*s = 4*s - 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -222*m + 25. Give o(2).\nAnswer: -419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 373 + 2*o - 120 + 35 + 135 + 4*o in the form x + r*o and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43636 (base 7) to base 14.\nAnswer: 3dc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 24*s + 9. Let w(j) = -j**2 - 27*j + 10. What is 7*l(a) - 6*w(a)?\nAnswer: -a**2 - 6*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4320813059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2133 + 49a1?\nAnswer: 6b14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16.2 - 15.09. Let r be 5*-3 + 22\/440*295. Is m greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**2 - 5492*t - 16494 = 0.\nAnswer: -3, 2749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42472*q**6 + q**2 - 2*q + 2760.\nAnswer: -5096640*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-70)\/20)\/((-3)\/36). Suppose u = -5*u + j. Let w = 9 - u. Solve -5 = -w*s + 3 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9756.9 + -9755.59249. What is i rounded to 1 decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -58641*f**3 + 32838*f**2.\nAnswer: -351846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 39*h**2 + 2*h - 32. Let l = -123 - -127. Let q(v) = 79*v**2 + 3*v - 63. Let r(f) = l*q(f) - 7*a(f). What is the second derivative of r(t) wrt t?\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03 - -4.97. What is the second smallest value in 1\/3, -4, s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21 - 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -16.55347\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 6*v - 3. Let t be l(3). Let d be -2*(-6)\/(t\/(-6) + 4). What is the greatest common divisor of 3 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-14)*1142\/(-1142)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48.11 - -50.3. What is k rounded to zero dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = 9*u + 3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*f - 2*f + 3*f + (5 + 0 - 3)*(3*f + f - f))*(82*f - 82*f + 21*f**3).\nAnswer: 336*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-102)\/(-21) + 2\/14. What is the third derivative of 7*r**h + 0*r**2 - 3*r**2 + r**2 + 7*r**5 wrt r?\nAnswer: 840*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 7920.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 22*f**2 + 19*f + 72. Calculate k(23).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 8*l - 19 = w, 0 = -4*w - 5*l - 16. Which is the third biggest value? (a) -3 (b) -5 (c) -2\/3 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 0, 7, -515, 5 in descending order.\nAnswer: 7, 5, 0, -1, -3, -515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 38351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by -6921.\nAnswer: -10\/6921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*a**2 - 765*a - 2 + 765*a to the form y*a + t + w*a**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13, -25, -51, -97, -169, -273, -415, -601?\n\"Answer: -v**3 - v**2 - 2*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-37)\/13 + 6\/(-39). Let u = -3 - i. Solve -2*k = -u*k - 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*o = -2 - 15 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 2:38 AM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -0*t + 65. Suppose 0 = 17*z - 13*z - 20. Suppose z*w = 10*w - 190. Calculate the remainder when w is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - -1)\/((-6)\/15). Let d(x) = -x**3 - 11*x**2 - 15*x - 5. Let z be d(v). List the prime factors of (2\/3)\/(6\/z).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5841600, 11683198, 17524796, 23366394, 29207992, 35049590?\n\"Answer: 5841598*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-60)*4*1390. Let p = s - -260. What is p rounded to the nearest ten?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -6*r - 2 + 7 - 28*r**2 + 29*r**2. Let g be v(5). Is -2\/29 <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 16*w - 12*w + 9*w - 61 + 10*w**2. Is j(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 - (-1 + (-5 + 1241)*(-9)\/(-18)). Which is greater: y or -620?\nAnswer: -620","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/2 - 0) + 1. Suppose -1 = i*y - 4. Let v = 0 - -0.1. What is the closest to y in 2\/3, -2, v?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**4 - 2*l**3 + 2*l + 1. Let z = 3 - 5. Let x(y) = y**4 - y**3 + y. Let r(h) = z*x(h) + b(h). Differentiate r(p) with respect to p.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 y when three letters picked without replacement from yyhhhhqhhhyyh?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, -2\/9, -48435?\nAnswer: -48435","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47054810518 - -1903743523784519\/40458. Let b = 4\/1839 + i. What is the common denominator of -49\/12 and b?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (10 + -5 - -3 - 10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**2 + 2388*y - 2387 = 0.\nAnswer: 1, 2387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-5)*u**3*u)\/((u**(-3)\/u)\/(u\/((u\/u**(4\/9))\/u))))\/((u**(2\/21)\/u)\/(u\/(u\/(u\/u**5*u)))*(u**(-2\/7))**23) assuming u is positive.\nAnswer: u**(562\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 2*k + 7, 4*y - k - 6 = 1. Let o = -53 - -47. Let d(z) = -z**2 - 12*z - 19. Let b be d(o). Solve -2 = y*a - b for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 5*l = -46, -3*u - 4*l + 18 + 1 = 0. Suppose -2*s = -u - 3. Suppose 0*q + 3*q + 3*m - s = 0, -q + 17 = -4*m. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 224, 500, 886, 1382?\nAnswer: 1988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 5:21 PM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/18*(-9)\/(-6)*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01103 - -4442194.\nAnswer: 4442194.01103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 214 divide 6614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 17 = 1. Let p(u) = -u - 6. Let v be p(y). Solve v*g = 5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(((-38)\/(-57))\/(2\/(-3)))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 345, 273, 203, 135, 69, 5, -57?\n\"Answer: t**2 - 75*t + 419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 10:39 AM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23855447 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -262*o + 3149. What is f(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 4*u - 83237, s + 4*u = 16159 + 482. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/3985 + 8012\/83685. Let i = 13 - 18. Sort b, i, -1\/8 in increasing order.\nAnswer: i, -1\/8, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 2332?\nAnswer: 2332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-28)\/6)\/(-1*2\/3). Let n = q + -13. Let f be (((-72)\/10)\/n)\/((-2)\/1350). Round f to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 58 = -2*z - 0*f, -84 = -3*z - 2*f. Suppose -5*j = 1 - z. Let q(n) = 5*n - 7. Calculate the lowest common multiple of 18 and q(j).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 16. Suppose 3*k = 2*x + 13, 0*x = -l*k - 4*x + 19. Suppose -301 = -k*u - 71. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 - -42. Let r be (n - 5)\/(2\/336*2). Let d be 24\/r + (-69)\/(-21). Solve 4*i + 28 = 2*i - 5*c, 3*c = d*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -41310*r - 82607. Determine p(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 128466390 and 1560?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in thirty-one halves of a microsecond?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 - -25. What is the biggest value in 3, w, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3946073?\nAnswer: 47, 113, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100010299.\nAnswer: 29, 3448631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/25 (b) -0.1 (c) 1\/10 (d) -0.09 (e) 2 (f) -349\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2209 - 1531. Let m = t + -677.998986. What is m rounded to 4 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 10, o: 2}. Give prob of sequence on.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -29*f**3 - f + 1. Let q = 106 - 107. Let a be g(q). Suppose -2*i = -5*p - 21, -3*i = -4*p + 9*p + a. Let d(r) = 2*r**2 - 1. What is d(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-3) + (-21)\/(-9). Suppose j*g + 5 = -5*b - 5, -3*b = 4*g + 20. Suppose -v - 5*v = -24. Sort g, v, -2.\nAnswer: g, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40912 is divided by 5839?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -891 times 13.5762?\nAnswer: -12096.3942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -2*n + 7*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -11*t**2 - 14*t + 408. What is z(6)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*m - 8526 - 33114 = 0. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(912) - (sqrt(912)*2 - sqrt(912)))\/(sqrt(144)\/sqrt(12)) - (6*sqrt(3648)\/sqrt(3) + 3))*-2)**2.\nAnswer: 1152*sqrt(19) + 175140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2498781283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/93, 2, 0.5 in ascending order.\nAnswer: -5\/93, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-10819)\/(-93) + (-4)\/(-6).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.19 + 0.21. Which is the nearest to 6? (a) -5 (b) 2\/13 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 109279, 218594, 327909?\n\"Answer: 109315*i - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert c93aa (base 13) to base 16.\nAnswer: 58a90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + r = 517, -s + 21 = -2*r - 78. Let c = 375 - s. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + 1)\/(-3 + (-9 - -13)). Suppose -5*f + l - 4403 = -0*l, l = z. What is f rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 81 - -7. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 3 + (2 + (sqrt(2448) - (1 + sqrt(2448) + sqrt(2448))))*-3 + ((sqrt(2448) + -1)*2 - (-5 + sqrt(2448)*2)))*-1)**2.\nAnswer: 360*sqrt(17) + 22057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 171, 241, 385, 603?\nAnswer: 895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 36*l**2 + 458*l + 129. What is i(46)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1340*p**2 + 2515*p**2 - 3850*p**2.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -1 + 5*j - 1\/2*j**2. Is 6 a factor of n(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - -1 - (-9 - ((-9 - 7) + 7 + 34)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*p**2 - 9*p**2 + 25*p**2 - 5 - p**2 + 5 + (-3 + 5 - 1)*(-2*p**2 + 0 + 0) + p**2 + 2*p - 3 + 5 - 3 to the form c*p**2 + f + h*p and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 1, -6, 12, -4 in decreasing order.\nAnswer: 12, 1, -4, -6, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/13961 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -1018 + 1018 + 4*y as c*y + l and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 + -22. Which is the third biggest value? (a) l (b) -0.11 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-18))\/((-47)\/141)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 7 = -5*d, -2 = 2*a - 3*d - 2*d. Let k be (a - 3) + 0\/(-6). Suppose 0 = k*n - 4718 - 760. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8956 - 3?\nAnswer: 8953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/(-5) + -2 + 48\/20. Suppose -w + 2 + 0 = y, -46 = -5*y + 4*w. Which is smaller: s or y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6755, 6756, 6757?\nAnswer: 6758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.06610772147 and 2.\nAnswer: 2.06610772147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 49*l - 102*l + 5*l**2 - 71 - 28*l. Let b(s) = -s**2 + 16*s + 14. Let h(r) = 11*b(r) + 2*c(r). What is h(13)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 4:50 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a*m**6 + 340355*a*m**4 - 2621269*a*m**2 wrt m?\nAnswer: 120*a*m**3 + 8168520*a*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 229\/11 + -21. Let n = 5 + -3. Which is the nearest to 0.1? (a) 0.1 (b) o (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 a factor of 5733773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 90?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 53, -1, 0, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 27*l**2 - 4 - 46*l**2.\nAnswer: -19*l**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1244 is divided by 142?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.403 - -0.377. Let o = 6.4 - 3. Let i = x - o. What is i rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 3*h. Suppose -3*c = -4*k - h*c, -4*k = c - 16. What is the second derivative of -m**4 + m - 11*m**k + 11*m**3 wrt m?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 6:35 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/16 + 60\/(-24)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 1 + 1)*1. Suppose f*j + 1 = 10. Suppose 0*d + j*d = 18. Solve -14 = 5*v - 4*n, -v = -d*v - n - 9 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, d: 2, z: 8, h: 2}. What is prob of sequence drd?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 48 = j - 5*j, -4*j - 55*c = -54*c + 45 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = w + w. Let y = -1 + w. Let s(o) = -29*o**3 + 4*o**2 + 6*o - 5. Let k be s(y). What is k rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -161085 (base 13) to base 9.\nAnswer: -1020486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -14*f**5\/5 + 4*f**3 + f**2 - 44. What is the third derivative of t(v) wrt v?\nAnswer: -336*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/18? (a) -1 (b) 1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.895 + 0.105. What is the closest to -1 in 4, 2, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*n + 48 - 49 + 5*n + 41*n**2 in the form h*n + p*n**2 + w and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*g - 51 = 0. Let r = 2 - g. List the prime factors of r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**4 + 4*o**4 - 5*o**4 + (-2*o**3 + 4*o**3 - o**3)*(0*o - 2*o + 4*o) + (-2*o**2 + 2*o**2 - 2*o**2)*(-3*o**2 + o**2 + 0*o**2) + o**4 + 0*o**4 - 2*o**4.\nAnswer: 7*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1197474 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o - 5. Let r(h) = 4*h - 6. Let i(d) = -5*r(d) + 6*w(d). Let l(n) = -59*n**2. Determine l(i(s)).\nAnswer: -236*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96 and 1224.\nAnswer: 4896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -22*z**2 - 7*z - 5. Calculate q(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a - 6. Let i = -8 + 3. Let z be m(i). Calculate the greatest common factor of 99 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 35*(120\/42)\/10. Solve 31*v = 26*v - f for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -14*u + 483. Let z be x(34). Solve z*s = 2*s + 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*m - 31*m - 20 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**5\/11 - 7724*i**4 + 679816*i**3\/11 - 1019824*i**2\/11 - 2719232*i\/11 + 5438720\/11 = 0?\nAnswer: -42490, -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + (39\/3 - -2). Let o be (2 + -194)*(5 - -8)\/(-39). Calculate the greatest common factor of u and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 962720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -429.8 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 10*d**2 - 16. Let h = 13 + -29. Suppose 4*u = -5*t - 27, -4*t - 8 = 4*u + 16. Let s(r) = -2*r**2 + 3. Calculate h*s(a) + t*z(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -16. Let p be 489\/(-4740) + (-3)\/6. Let g = p - -1\/316. What is the second biggest value in c, g, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 15*f**2 - 5*f - 79. What is the hundreds digit of n(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73972?\nAnswer: 2, 18493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 756 and 252.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**3 - 93*s**2 + 258*s - 168 = 0. What is s?\nAnswer: 1, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**7\/(n\/n**(-7\/2)))**(-3\/32)\/((n**5\/n**(-2))\/(n\/n**1*n)**(2\/37)) assuming n is positive.\nAnswer: n**(-17003\/2368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46742 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8325 and 10323?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 4)*(-3*c + 0*c + c) - 127*c + 1331 - 1331.\nAnswer: -119*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104 and 344.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/211 and -33\/7?\nAnswer: 1477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/14)*p\/(p*p*p**(-17)))**(2\/13) assuming p is positive.\nAnswer: p**(227\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 7*y**2 - 8*y - 3. Let v be 4\/(-20) - (-4)\/20. Suppose v = -o - 3 - 2. List the prime factors of g(o).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -12\/1265 and 47\/72565.\nAnswer: 798215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 2) to base 16\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -166512 or -166510?\nAnswer: -166512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1281 and 5490?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 19\/4 of a century?\nAnswer: 5700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 12:48 PM?\nAnswer: 81","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -12055\/132 - -912\/11. Let o(p) = -19*p**3 + 3*p**2 + p + 4. Let x be o(4). Let q = -4573\/4 - x. Find the common denominator of k and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04331434 rounded to 3 dps?\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-d + 0 + 0)*(17 - 35*d - 17) + (-d + 2*d - 2*d)*(0 + d + 0))*(-1 - 7 + 1) to s + u*d + r*d**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2 + (1 - 3 + 3)*(-2 + 0 + 0))*(150*s**2 + 66*s**2 + 230*s**2).\nAnswer: -446*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/85 - (-8)\/(-510). Which is the nearest to 0? (a) -12 (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-56))\/(30\/(-20))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14278788, -14278780, -14278758, -14278716, -14278648, -14278548?\n\"Answer: v**3 + v**2 - 2*v - 14278788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1064800 divided by 1064800.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + -1 - (17 - 0 - -5)) + -9?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 25?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 - -2.7. Suppose -2*r = r - 6. Let q = -1104.2 - -1104. What is the nearest to r in -3\/5, m, q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 67*n**3 - 38*n**2 - 111*n + 141. Is h(19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, -1, -4651 in ascending order.\nAnswer: -4651, -1, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 7*x**2 - 7*x - 117. Let f be l(-8). Solve 9 - 12 = f*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 3601563 (base 7) in base 2?\nAnswer: 1101110111100010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 156*h**3 + 5*h**2 + 164*h. Let x(g) = -468*g**3 - 14*g**2 - 490*g. Let k(l) = 8*w(l) + 3*x(l). Find the third derivative of k(f) wrt f.\nAnswer: -936","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2297 divided by 3.\nAnswer: 2297\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 = -4*g - 5*h, -646*g - 3*h - 321 = -664*g for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 25189423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -29*y**4\/8 + 25*y**3\/3 - 37*y**2\/2 + 109*y. Let w(f) be the first derivative of z(f). Differentiate w(o) wrt o.\nAnswer: -87","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-16)*-2)\/(4\/(-48)). Put 6, k, 4 in ascending order.\nAnswer: k, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 6364*f - 6385. List the prime factors of d(5).\nAnswer: 5, 5087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2 + 6 = 0. Let v(w) = 8*w - 8 - 9*w**2 - 7*w**n + 17*w**2. Is 32 a factor of v(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -85*i**2. Let a(r) = 2*r. Determine a(m(f)).\nAnswer: -170*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 11*m + 208. Let y = 379 + -396. Calculate the remainder when 398 is divided by c(y).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-115)\/(-2) + (-12)\/8 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*y = -35*y + 36. Suppose 5*g - 12 = -u, 0 = 3*u - 2*g - 6 - 13. Let p = y - u. Put 5, -5, p in ascending order.\nAnswer: -5, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 9*j**2 + 12*j - 1. Is 11 a factor of o(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a kilometer in meters?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5 + 3)*(-2 + 2 + 3*h).\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -125995*c + 125928*c - 5293 for c.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nptbnptpdtnndttntt. What is prob of sequence btt?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of 4631*t**4\/12 - 1511*t**2 - 2*t. Let r(z) = 2*z**2. Give r(d(m)).\nAnswer: 171569288*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 21*i**2 - i - 4. Let x be g(21). Which is smaller: x or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -75227*u**3 + 1795.\nAnswer: -225681*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 6*s**2 + s + 15. Give d(-6).\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 798252 and 175182.\nAnswer: 1806","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-7))\/((-3)\/42). Suppose 19 = 3*b + f, b + 4*f = -0*b + 21. Sort x, 2, b in decreasing order.\nAnswer: b, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/8 of a milligram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zmt when three letters picked without replacement from jmmjjmzmmtmmmmmzjjm?\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*o - 3*o + 2*o)*(1 - 5 + 2) + 3*o - 1 + 1)*(-5 + 3 + 3).\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*b - 25*b + 3*n + 2179 = 0, -5*b - 4*n + 2716 = 0. Let h = b - 539. What is the smallest common multiple of 5 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -63 + 64. Let g(h) = 53*h - 2 - z - 54*h - 2. Let a(u) = u**2 + 5*u + 1. Let t be a(-2). Calculate g(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in thirteen sevenths of a week?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -31 and -63678246678?\nAnswer: 63678246647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 + -3.378?\nAnswer: -88.378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1009.3424+-5\nAnswer: -1014.3424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*x - 117*x - 1781 = 65*x for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 5) in base 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1104416 is divided by 220881?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9499992 to the nearest integer?\nAnswer: 3082","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/5 + 608\/80. Let z = r + 4. Does 10 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -22. Let x = -890.4 - -893.4. Which is the second biggest value? (a) 2\/19 (b) x (c) h (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24013?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 281163, 281166, 281179, 281208, 281259, 281338, 281451, 281604?\nAnswer: 281803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r + 1. Let q(k) = -k + 8. Let j be q(5). Let i(c) = -3*c + 5 - j*c + 4*c. Calculate 4*g(p) - i(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3181?\nAnswer: 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -32 (c) -5 (d) 0.28 (e) -24\/323\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g**4 + 2 - 1 - 2*g**4 + g**3. Let u(k) = 2*k**4 + 4*k**3 + 6. Let j = 1 + -2. Let s(x) = j*u(x) + 4*i(x). Differentiate s(m) wrt m.\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**4\/4 - 807429*m**3\/2 + 217315478199*m**2\/4 - 108656527959*m + 54328062123.\nAnswer: 3*(m - 269142)**2*(m - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/28 + (-6)\/21. Let u be (-3)\/20 - 7\/28. Is f >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*k + 20 = -148. Let m(a) = a**2 + 9*a - 2. Let b be m(-5). Let t = -13 - b. Solve 1 = -k*w + t for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -182*i**6 - 3*i**3 + 76*i**2?\nAnswer: -21840*i**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2, -1\/16, 91?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence doz when three letters picked without replacement from {o: 1, t: 2, z: 1, d: 1, h: 1, v: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 362429*u**3 + 363095*u**3 - 725470*u**3.\nAnswer: 54*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4646776.\nAnswer: 2, 31, 41, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x - 22*x**3 + 8*x**4 - 7*x**4 + 6*x**3 - 39*x + 51*x**2 = 0. Calculate x.\nAnswer: 0, 1, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 100 + -101. What is the nearest to o in 0.5, 3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -64be1?\nAnswer: 64be0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of d**6\/120 - 2*d**5\/15 + d**4\/4 + 2*d**3\/3 + d**2 - 30. Give z(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -m**5\/30 + m**3\/3 - 12*m**2 + 3. Find d such that z(d) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 74 and 888?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5243900 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i**3 + 21*i**3 + 86*i**3.\nAnswer: 115*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 19 + 114. Let h = d - -33. Let g(t) = t**3 - 5*t**2 + 6*t - 5. Let m be g(4). Solve 3*s - y = h, -s + m*y = s - 21 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6186910 + 5602124 = 389*c. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbb when four letters picked without replacement from {o: 2, l: 6, b: 11}.\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 427 = 5*o + 27. What is the highest common divisor of 10 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 154726598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of u**6\/120 + 2*u**3 + 14*u. Let r(i) be the second derivative of m(i). Let v(c) = 11*c. Determine r(v(k)).\nAnswer: 363*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117355 is divided by 16746?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 180.31 - -3108?\nAnswer: 3288.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -194, -397, -626, -893, -1210, -1589, -2042?\nAnswer: -2581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -5*k**2 + 2*k - 1. Let x be r(1). Let h be 3\/(-9) + x\/6. Suppose 3*m + 8 = -5*f - 2, 5*f - 4*m = -10. Which is smaller: f or h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5919\/2 - 2959. Suppose z**3 + 0*z - 1\/2*z**2 + 0 - y*z**4 = 0. What is z?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26523 or -26520?\nAnswer: -26520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16229?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 1 + 1\/15*f**3 - 1\/30*f**4 - 4*f + 2\/5*f**2. Let i(l) be the first derivative of q(l). Factor i(v).\nAnswer: -2*(v - 2)*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) -749 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22715783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3024)*1)\/(sqrt(7)*1*6) - (sqrt(54)\/sqrt(3)*-6)\/(-2*sqrt(384) - sqrt(6) - sqrt(6))) + 5)**2.\nAnswer: 50*sqrt(3)\/3 + 100\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.0698 + -0.0698. What is the nearest to -1 in m, 2, -3\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 411, 796, 1181, 1566, 1951?\nAnswer: 2336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.34073 in -1\/6, -3.9, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w - 3 - 4 - 42*w**4 + w**3 + 41*w**4 + (-3*w**3 + w**3 + 3*w**3)*(-w - w + w) as z*w + p + h*w**4 + o*w**2 + b*w**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 5*k - 4*x, 0 = -4*k + 4*x - 6*x - 42. Let t be 1\/2 + (-5)\/k. Is t greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2, -2.8, 4, 5, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14076 and 306.\nAnswer: 14076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 5*r**2 - 4*r - 5. Determine b(4).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 2.8. Let z = 316 - 313. What is the closest to z in -2\/7, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gdb when three letters picked without replacement from bbdbgbgdbg?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 118 - 136. Let u be 8\/(q\/(-81) - (-24)\/135). Solve 4*i = 4*h + u, -4*i + 0*i = -5*h - 25 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57 - 0 - (-22 + 102).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -561574*z + 2807867. Calculate s(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43094800?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 26*r**2 - 3*r - 4. Let i(z) = -2*z**2 + 2*z - 1. Let a be i(0). Let w be m(a). Solve 5*h - w = -5 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - s + 3*h + 13, 5*h = 4*s - 33. Solve 0 = s*p - 5*y + 21, -4*p = -4*y - y + 27 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.8 or 62593?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a**5 + 30725*a**4 - 30980*a**3 - 1536740*a**2 - 1475040*a = 0. Calculate a.\nAnswer: -6146, -6, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-6)*(6\/(-1))\/((-40)\/10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 152.5 - 183. Let m = -35.5 - v. Which is the fourth smallest value? (a) m (b) -0.3 (c) 1 (d) -13\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112 + -56 + 26 + -31\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 3 + (7 - (8 - 4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -5, 2, -152?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/52)\/(441\/(-588))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12895992 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*3\/(-75)*5\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2086847271 rounded to the nearest one million?\nAnswer: -2087000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 22568147\nAnswer: -6770444.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a + 13. Let x = 2 - -4. Let p be y(x). Let j = -22 + p. Calculate the greatest common factor of 1 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-5))\/((-36)\/(-20)). Let p = 3 + -6. Let j = 1\/137 + 407\/548. What is the second biggest value in l, p, j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1313302 - 1323?\nAnswer: -1321231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 115 + -90 + (-4 - 26) + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 11 = 15*v - 14*v, 2*v - 2*j = -14 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + -5)*2\/((-12)\/(-46)). Let i = a - -47. Solve -i = 4*c + 4*v + 7, 3*c - v = 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1911, 9879, 23931, 44067, 70287, 102591, 140979?\nAnswer: 185451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (1803061\/117 - -4) + (-4)\/(-18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 4*s - 52, s = -4*s + 2*u + 59. Let l = s - 6. Let r = 97 + -89. Solve l = r*v - 3*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 21 + 143*u**2 - 160*u**2 - 7.\nAnswer: -17*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 9 = -3. Let p(c) be the second derivative of -c**3\/3 - c. What are the prime factors of p(f)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16213384 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - ((1 - -1) + -1). Let t = 6 - 4. What is the remainder when 4 + m + 2 + 0 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y. Let v(t) = 302*t. Determine v(c(z)).\nAnswer: -604*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**3 - 154*u**4 - 3*u**2 - 3 + 5 - 3 + 3636*u - 3636*u as q*u**4 + h*u**3 + f + r*u + l*u**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 500?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1137*o + 443*o - 5732 = 739*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 2) + -2 + -6 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 482, 810, 1154, 1514, 1890, 2282?\n\"Answer: 8*i**2 + 304*i + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(-2)\/(-6)*21. Suppose 0 = -u*q + q. Let g be (q - (3 - 4))*3. Solve 1 - 16 = -g*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*a + 215*a + 66 = 0 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1)*(t\/((t*t**(-1)*t)\/t))\/t*t\/(t\/(t*t\/(t*t**(-2\/19)\/t)))*(t\/((t**(-1\/7)\/t)\/t))\/t*(t**3\/(t\/(t\/(t\/(t**(-3\/4)*t)))))**(-2\/9) assuming t is positive.\nAnswer: t**(731\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2537968 and 4006792.\nAnswer: 9992","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 15028*k - 375672. Determine o(25).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/4*23\/(460\/(-16)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(117))**2 + sqrt(624)\/sqrt(3).\nAnswer: -2*sqrt(13) + 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -59*t + 20*t - 2*t - 43*t + (-t - 2*t + t)*(-1 - 3 + 8).\nAnswer: -92*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*d**3 + 2246*d**2 - 2246*d**2 - 147*d**3.\nAnswer: -172*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b. Let n = -33 + 37. Let i(l) be the third derivative of -1\/30*l**5 - l**2 + 0 + 0*l**3 + 0*l**n + 0*l. Determine i(u(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*j*u*z**2 + 2*j*u*z + j*z**2 + 72*j*z + u*z**2 - u*z - u - z**2 wrt z.\nAnswer: -50*j*u + 2*j + 2*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2 - 4 = 0, -5*p = 2*q - 356. Suppose p = 5*w - 3*w. Let d = 125 - 122. Solve 0 = d*z + 3*m + 11 - w, 3*z + 2*m = 19 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q**(7\/2)*q))\/q)\/(q**7\/q)*((q*q**(-2\/35)*q)\/q)\/q*(q*(q*(q*q**(-7\/3))\/q)\/q)\/q)**(1\/10) assuming q is positive.\nAnswer: q**(-2707\/2100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o. Let t(i) = -13*i. Let q(f) = -923*f. Let p(z) = 2*q(z) - 143*t(z). Let l(s) = 2*p(s) - 7*y(s). Let n(d) = d + d**2 + d - d. Give l(w) + 2*n(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 3*s + 45. Let b = s + 3. Let m = 109 + -62. Calculate the remainder when m is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (5 - 10)) + 43 + -49.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (8 - 11 - -9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**3 - 26*a**2 + 87*a - 55. Let f be n(8). Is f <= 5\/112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.395 rounded to 1 dp?\nAnswer: -7.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 297 a factor of 230579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 4, q: 4, j: 3}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 4 = -4. Let z = 31\/234 + -15\/26. Is i at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -10. Let l be 52\/80 - 4\/o. What is the closest to l in -0.5, 0.2, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (-10 + (3 - -5) + -5 + 3)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1197\/266*78\/27.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 32*k - 7 + 8.\nAnswer: 32*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -2*m**4 + 9\/10*m**5 + 27\/2*m**2 - 3*m**3 - 13*m - 1\/10*m**6 + 0. Factor j(r).\nAnswer: -3*(r - 3)**2*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -0*h - 2*h - 10, -4 = -4*o - 2*h. Let m(v) = -1 - v**2 + 2*v**2 - o*v**2 - v. What is m(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 5*u + z - 57, -z + 24 = 2*u. Let i(p) = p**3 - 11*p**2 + 2*p + 2. Let v be i(u). List the prime factors of 256\/v - (-2)\/(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*x + 27. Suppose 2*z = x + 7. Suppose 0*a - z = -4*a. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1653216 (base 7) in base 15?\nAnswer: -48976","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*o - 3 + 54*o + 3 + 48*o.\nAnswer: 58*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*n**2 + 9*n**2 - 14*n**2)*(-16*n + 8 + 7*n - 7).\nAnswer: 207*n**3 - 23*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 38696377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/330)\/(164\/(-82)*(-1)\/6)?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence exft when four letters picked without replacement from {i: 3, g: 1, t: 1, e: 2, x: 2, f: 3}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 6*p**2 + 7*p + 1. Suppose -5*u = n + 32, u = -2*n - 2*u - 29. Let g be q(n). List the prime factors of (g - -24)*(-12)\/(-15).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387352 is divided by 1525.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-6 + -5 + 10 + -8 + -5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)*-2*1*4)\/(sqrt(400)*1*3 + sqrt(400) + sqrt(400)).\nAnswer: -4*sqrt(13)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75 + 75 - 3301*d**2 - 275*d**2.\nAnswer: -3576*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**3 - 3*c**2 + 29*c + 78. Let l be m(-3). Let a = 1 + -1. Suppose a*o - 3*o = -9. Solve -o*q = 5*b + 7, 4*b - 2*b + 5*q = -l for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(4\/3)*j*(j\/(j**(2\/3)\/j)*j)\/j*j)**(-41)*(((j*j**(-3\/2))\/j)\/j**(1\/9))\/(j**(-6)\/(j*j\/j**(2\/9))) assuming j is positive.\nAnswer: j**(-1111\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (228 - 229) + -1 + -21?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 - (-21 - -3) - -4. What is the greatest common factor of i and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2bd32a (base 14) to base 16.\nAnswer: 176a3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -372*a + 378*a - 18 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 4 = 1 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**7\/70 + 17*a**6\/60 + 2*a**5\/5 - 60*a**2. Factor b(u).\nAnswer: -u**2*(u - 12)*(3*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710356579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9390000 rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -337357*v**2 - 11*v**5 + 50445*v**2 - 25346*v**3 - 268288*v - v**5 + 2*v**5 + 2*v**5 - 776*v**4 - 65536 = 0. Calculate v.\nAnswer: -32, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2072313*p**2 - 1211417 with respect to p.\nAnswer: -4144626*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 432.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3254034 is divided by 3253871?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0 (b) 1874 (c) 0.2 (d) -4 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*o + 10654748 - 2*o - 10654544 to the form a + f*o and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80\/(-8)*18\/(-12)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-128)\/(-14))\/((-722)\/2527).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2429 + -2424. Let z(p) = 4*p**3 + p**2 + p + 5. Let l(w) = -5*w**3 - 2*w**2 - w - 6. What is o*l(h) + 6*z(h)?\nAnswer: -h**3 - 4*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6570 rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 4*h**2 + 2*h - 3. Let f be (2 - (2 - 1))*15. Suppose -a - p + f = 0, -2*a + 2*p = 3*a - 54. Let t = -8 + a. What is b(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 21*b**2 - 72*b - 625. What is g(-23)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 8644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 324115607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 + (-16)\/(-3))*(-1 + -2). Let b be 38\/(-8) - ((-45)\/5 - p). What is the nearest to b in 5, -0.5, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 156, 0.1, 12\/7, -3, -2020 in descending order.\nAnswer: 156, 12\/7, 0.1, -3, -2020","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 663900 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -67*d**6\/30 - d**4\/6 - 7*d**3\/2 - 28*d + 5. What is the second derivative of y(c) wrt c?\nAnswer: -804*c**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttyy when four letters picked without replacement from ytyppppytppppppy.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43 + 44. Which is the closest to n? (a) 0.2 (b) 1\/4 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -20, -55, -92, -131?\n\"Answer: -z**2 - 32*z + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = 2*r - 70. Calculate the remainder when 415 is divided by r.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.98 - 3.02. Let d = v + 5.3. What is the biggest value in 2\/11, 1\/6, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2134.6064 times 0.2\nAnswer: -426.92128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 189849992?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0220438 to 3 dps.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(208) - sqrt(208)*1) + sqrt(208) - sqrt(208) - sqrt(208))**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -142651 divided by 1907\nAnswer: -142651\/1907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - 4. Let t = 10 + z. Is t less than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 64277067?\nAnswer: -64277066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pwppwwpppwpwpppp. What is prob of sequence ppw?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 530880?\nAnswer: 2, 3, 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 u when four letters picked without replacement from ewuqqugqquqrq.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2306 (base 15) to base 5.\nAnswer: -214211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 5:41 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + -26 + -4 + (1 - 4). Calculate the common denominator of -59\/24 and 70\/f*(-3)\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2709, 3, -1\/137, -2\/5, 1\/5 in decreasing order.\nAnswer: 3, 0.2709, 1\/5, -1\/137, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 191\/3 - 1*(-12)\/(-18). Let p = -49 + w. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2580*i - 10225. Give d(-4).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of 0*a + 0*a**3 + 0*a**4 + 0*a**7 + 0 - 1\/168*a**8 + 0*a**6 + 1\/20*a**5 - 2*a**2. What is the third derivative of j(k) wrt k?\nAnswer: -120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 2. Let w(z) = -4*z**2 - 9. Let u(g) = 9*m(g) + 2*w(g). Suppose -4*s = 1 - 25. Let n(a) = -3*a**2 + 2 + 4 - s. What is u(n(h))?\nAnswer: 9*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*p + 12*p + 15*p + 23*p to a*p + c and give a.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 315693 + -135416. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (46\/46)\/(2\/4*2\/(-15))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 2*w - 20 = 0, 0 = -6*z + 4*z - w + 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 366744 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -60, -324, -788, -1464, -2364, -3500, -4884, -6528?\n\"Answer: -2*c**3 - 88*c**2 + 14*c + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7570 - 5202. Does 16 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.4 (b) -2\/15 (c) 2 (d) -0.4 (e) -103\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*k - 260 + 146 = 0. Solve -k*n + 15 = -0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -189 + 197. Suppose 29*x + 16687 = -s*x. Is -451 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-16)*4\/(-2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*h - 310*h**2 - 301*h**2 + 3 - 1.\nAnswer: -611*h**2 + 96*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b - 17. What is s(-26)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/3)\/(-1)*-3. Let h = 549 + -4942\/9. Sort m, 0.5, h in descending order.\nAnswer: m, 0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.02 + -0.02. Let x = p - 3. Let a = -39\/22 - -14\/11. What is the second smallest value in -0.3, x, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10, -18, -28, -40?\n\"Answer: -t**2 - 5*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -172 divided by 4676?\nAnswer: -43\/1169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -3*a + 20, -a + 3*x = 2*a - 6 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -36100 (base 10) in base 4?\nAnswer: -20310010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 2*x - 3. Let c be p(2). Let r = -5 - c. Let l be r\/(-18)*10\/(-25). What is the smallest value in -1, -1\/5, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y + 5*y - 3*y)*(-7*y - 16*y - 3*y)*(-4*y + 7*y + 0*y) as f + u*y**3 + c*y + k*y**2 and give u.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/24, -5, 5, -2\/5, -4345, -0.1?\nAnswer: -4345","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12715 is divided by 212?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 11*x - 33. Let k = 2451 + -2457. Determine g(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 148, 128, 102, 70?\n\"Answer: -3*n**2 - 11*n + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/6698 and 65\/12.\nAnswer: 40188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - (4 - 2 - 18). Solve 8*w - v = 3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 3*c + 1 + (-4 - c + 4)*(0 + 2 - 1) + 4*c - 6*c + c - 2*c - 4 + 4 + 2*c - 8*c + 2*c - 24*c + 21*c + 23*c.\nAnswer: 15*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**4 + 4*u**4 - 17 - 5*u**4. Let x(l) = -3*l**4 - 35. Let w(g) = 9*t(g) - 4*x(g). Differentiate w(h) with respect to h.\nAnswer: -24*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 720 and 380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 215 + -136. Suppose -3*n + 65 = z, 5*z - t = -4*n + 4. Calculate the remainder when n is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y - 1. Suppose 0 = s - 4*c + 22, -5*c + 40 = -4*s - c. Let k be l(s). Solve a - 3*a - 15 = k*m, -3*a - 5 = 4*m for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 185*b**2 + 29*b - 40. Let d be r(6). What is the greatest common divisor of d and 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -19*t. Let x(d) = 1793*d. What is x(q(b))?\nAnswer: -34067*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*t + 6*t - 2*t)*(-t + 1 - 1) + (0*t - 4*t - t)*(t + t + 0*t) to the form b + f*t**2 + n*t and give f.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of 5*k**9\/3024 + k**6\/360 - k**3\/3 - 1. Let g(s) be the third derivative of y(s). Find the third derivative of g(t) wrt t.\nAnswer: 300*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*v - 8506 + 8311 = 0 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11627086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5388928 by -84202.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3144319644 to the nearest integer?\nAnswer: 1465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2\/21 (b) -7\/6 (c) 3\/17 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96\/(-32) + (0 - -132) is divided by 108?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 41577939 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -253 - -35?\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2769, 2774, 2781, 2790?\n\"Answer: x**2 + 2*x + 2766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -13*o**6 + 6*o**2 + 73. What is the second derivative of f(r) wrt r?\nAnswer: -1560*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, y: 1, g: 3, f: 2}. What is prob of sequence kg?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-11 + 1 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**5 + 120*s**4 - 442*s**3 - 364*s**2 + 1584*s - 896 = 0.\nAnswer: -2, 1, 4, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 345131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.9 - -0.6. Let u = m + -0.7. Let i = -3 - u. Sort 1\/2, 1\/4, i in descending order.\nAnswer: 1\/2, 1\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p + 5. Let i(s) = -s. Suppose 22*u = 14*u - 8. Let d(m) = -7*m - 5. Let z(c) = u*d(c) + 5*i(c). What is -4*q(l) + 3*z(l)?\nAnswer: -2*l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 451.\nAnswer: 1804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -3*j, 10653*j - 10648*j = -3*u + 97 for u.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2178606 is divided by 81.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8618 = -40*q + 302*q - 4744 for q.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*x**3 - 20*x**3 + 24*x**3 - 71*x**3.\nAnswer: -141*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lztg when four letters picked without replacement from gtgzlzjuggtgzztg?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110 + -10011000001110111100?\nAnswer: -10011000001110010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7361 - 1123?\nAnswer: -10504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11\/(2 - 10\/4). Let f = 25 + g. Which is the fourth smallest value? (a) -2 (b) f (c) 1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(6\/1*(-9)\/(-18)). Let d = 5.6 - 6. Let g = -246 - -1229\/5. Which is the nearest to x? (a) g (b) d (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + 0.13406?\nAnswer: 0.23406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 591007 - 8740.95059\nAnswer: 582266.04941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 120.2 + -120. Let v be ((-2)\/16)\/((-3)\/(-4)). Which is the biggest value? (a) 1\/2 (b) h (c) 1 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71090459?\nAnswer: 11, 6462769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.54 + 0.24. Let g = x - 2.7. Sort -2, g, 4 in ascending order.\nAnswer: g, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57 - (-24 + 162) - -7\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.2 and 0.0461632 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iuui when four letters picked without replacement from muuuimimuuiuu.\nAnswer: 21\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = -3*v - 42. What is the remainder when v is divided by (-16)\/(2 + -3) - (-1 - -3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5416 is divided by 95.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1833 and 846?\nAnswer: 10998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4672, 10233, 15794, 21355?\n\"Answer: 5561*w - 889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*w - 1. Let n be w - ((1 - 3) + -3). Let o(h) = -7*h + 7. Let a(i) = 8*i - 8. Give n*o(r) + 6*a(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 m when three letters picked without replacement from mnsmssnnnmn.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4596\/594 + -8 + 4\/(-22).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 3*k - 7, a + 4*k = -0*a. Let q be (-6)\/(-8) - (-197)\/a. Does 7 divide q\/5 - (-6)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4*w**2 + 6*w + 7. Let k = 12 - 17. Is g(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 124*j - 154*j - 196*j + (-3 + 4 + 0 + 0 - 1 + 0 + 6 - 1 - 3 + (1 - 3 + 3)*(-3 + 1 + 1) - 4 - 1 + 3 + 4 + 5 - 4)*(-3 - 2*j + 3) to d*j + r and give d.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 84 = 5*y. Let o(l) = l**3 + 11*l**2 + 8*l - 6. Let b = -27 + 18. Let p be o(b). What is the highest common factor of y and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -634, -539, -356, -19, 538, 1381, 2576, 4189?\nAnswer: 6286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 2*p + 9. Let q be y(0). Suppose -q*b = -10*b + 7. Let m(u) = u - 4*u + b - 2*u + 3*u. Calculate m(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -1. Let c(l) = 173*l**2 - 5*l + 6. Let j be c(7). Let p(i) = 7*i + 8448 - j. What is -2*b(n) + p(n)?\nAnswer: 7*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 23724039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/2*((-76)\/10 - -4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*b = 8. Suppose -5*c = 5*q - 120, 40 = q + b*c + 14. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 5*u + 8. Let h be v(6). Let q be (1 + -1)\/(-1 + h). Suppose 2*t - 7*t = q. Put t, -4, -1 in descending order.\nAnswer: t, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/2 (b) 6 (c) 2\/7 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*d + 74 = 20. What is the nearest to 1\/2 in -53, 0.5, d?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5460 + 5459.8. Let m = 9 - 5. What is the third smallest value in m, -3\/5, o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39 + -21. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8822492 to the nearest integer?\nAnswer: 2970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 14*z + 5. Give i(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/24 and -173\/60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4 = -4. What is the units digit of (8\/4)\/((-2)\/j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 525, -230, -2261, -5562, -10127, -15950, -23025, -31346?\n\"Answer: c**3 - 644*c**2 + 1170*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 80967963392 + -0.01859\nAnswer: 80967963391.98141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91456 is divided by 32?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 9*s + 5. Which is smaller: s or -1\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**2 - 2*a - 1. Let g(y) be the second derivative of -y**4\/12 + y**2\/2 - y. Suppose 25 = -5*r + 20. Determine r*z(m) - g(m).\nAnswer: -m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of 1\/1470*i**7 + 0 - 81*i**2 - 1\/168*i**6 + 0*i**3 - 1\/56*i**4 + 1\/60*i**5 + 0*i. Factor r(w).\nAnswer: w*(w - 3)*(w - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*r = -7*c + 18, -3*c = 2*r + 2. Let u(w) be the second derivative of 1\/20*w**4 - 3\/10*w**3 + w + 3\/5*w**c + 0. Solve u(g) = 0 for g.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-324435)\/6235 - (-12)\/348?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 350*x + 3832. Give u(-11).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(128) + -1) + 2*(sqrt(2) + 4*sqrt(2) + sqrt(2) + -1).\nAnswer: -36*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3 - 7740*y**2 - 3 + 7726*y**2. Let m(s) = -7*s**2. Determine 3*b(n) - 7*m(n).\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 75 = 14*z. Let q(m) be the third derivative of 1\/24*m**z + 1\/3*m**3 + 0 - 5*m**2 + 0*m. Determine q(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t**3 - 4*t**2 - 3*t + 8. Give r(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nob. What is prob of picking 1 b and 1 n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 3*l**2 - l + 1. Let r be u(-2). Let p = 830 + -187. Let b(f) = -f - p + 0*f - 7*f**2 + 642. Give b(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0935416284 rounded to 5 dps?\nAnswer: -0.09354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**2 - 5*l**2 + 2 - l + 2*l**3 - 4 + 2*l**2 to the form i*l + w*l**3 + n*l**2 + a and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 d when four letters picked without replacement from {k: 10, d: 4}?\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b + 2930 + 871 = 0. Let h(p) = b*p - 91*p - 87*p. Let a(s) = -2*s**2. Give a(h(j)).\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 6*k + 468 = -2*k, -5*t + 606 = -2*k. What is t rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 348*v**2 - 7143*v - 9476. What is o(326)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2e + -11494?\nAnswer: -11465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(0 - -2) + (13 - 10). Let z be (-66)\/(16\/(-128)*6*b). Suppose -3*u + z = -26. What is the remainder when 112 is divided by u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -14*o**2 - o. Let k(y) be the third derivative of 58*y**2 + 0*y**3 + 0 + 0*y - 1\/12*y**4. What is u(k(s))?\nAnswer: -56*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 672547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51963 - 51599266\/993. Let f = z - -15341\/662. What is the common denominator of f and 107\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4)\/(sqrt(4)\/sqrt(2)) + 5 + sqrt(4)\/sqrt(2))*-5 + -1)**2 + 5.\nAnswer: 520*sqrt(2) + 881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h - 43. Let u(f) = -11*f**2 + 214*f + 5. Determine a(u(r)).\nAnswer: 22*r**2 - 428*r - 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 t when two letters picked without replacement from uuqfuuuuuutqfqt.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 15, -2, -4, 33, 3, 43 in decreasing order.\nAnswer: 43, 33, 15, 3, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -169830*a**6 - 3658*a**2.\nAnswer: -20379600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-482*k**2 + 194*k**2 + 208*k**2)*(10*k - 94*k - 65*k) to z*k**2 + u*k + v*k**3 + j and give v.\nAnswer: 11920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 92 - 53 = 5*v, 4*d - 27 = 9*d + v for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 3*y + 96539, 20*y - 57933 = -3*l + 17*y. What are the prime factors of l?\nAnswer: 19309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 6*n + 0*n)*((-2 + 0 + 0)*(4 - 3 - 5) - 5 + 1 + 6)*(5 - 2 - 4).\nAnswer: -30*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 104042?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30732912 to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -805346, -805344, -805342, -805340?\nAnswer: -805338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -14*c**2 + 3*c - 2. Let d be m(1). Let q(b) = 17*b**2 - 28*b - 16. Is q(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-2\/15)*k)\/k)**(-20)\/(k\/k**(-5\/4))**(-50))**5 assuming k is positive.\nAnswer: k**(2855\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -6*r + 29. Suppose 22 - 158 = -8*b. Let p(j) = -2*j + 10. Calculate b*p(s) - 6*f(s).\nAnswer: 2*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2742, -2, -1, 5, 31, -5 in increasing order.\nAnswer: -2742, -5, -2, -1, 0, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12318 - 1b3?\nAnswer: -124cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 19144372 = -844805876. Suppose -11*y = -3*y - v. Suppose -f + 3601922 = y. What is f rounded to the nearest 1000000?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8 from -1787.\nAnswer: -1795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 4*z - 60 = 0, 7*z - 74 = 4*p + 5*z. Let n be ((1\/6)\/((-1)\/p))\/10. What is the fourth smallest value in -2, n, 5\/4, 2\/3?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.7 (b) 42\/5 (c) -466\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8315 to the power of 1\/2, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(539)*-5 + sqrt(11)) + 2)**2.\nAnswer: -816*sqrt(11) + 457780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-29)*l**(12\/11) assuming l is positive.\nAnswer: l**(-307\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-9)\/3)*2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 8*n. Let w(d) be the second derivative of 2*d**4 + 2*d - 71. Calculate w(a(b)).\nAnswer: 1536*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -58. Let h(a) = -268*a + 115. Give h(l) + 2*n(l).\nAnswer: -268*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29.5 - 34.5. Is z at most 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 360968 (b) -1\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 3*y + 343 = 0. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 100 + 336?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12085 + -11968. Which is bigger: 707\/6 or k?\nAnswer: 707\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -712841, -712850, -712859, -712868, -712877, -712886?\n\"Answer: -9*q - 712832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-40)\/(-320) + 19162*(-6)\/(-32) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -836, -1, -22, -3, 48 in descending order.\nAnswer: 48, 5, -1, -3, -22, -836","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 2499 - 510. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.25 or -3.3?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 5*m**2 + 7*m + 11. Let b be p(-6). Find the second derivative of 0*o**2 + b*o - 3*o + o**2 - 6*o**2 wrt o.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13402 + -15?\nAnswer: -13421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**4 + g**4 - 6*g**4 + (7 - 6*g - 7)*(3*g**3 + g**3 - 6*g**3) to b*g + q*g**4 + s + u*g**3 + w*g**2 and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 1.6. Let b = 1353\/38 - 71\/2. What is the smallest value in 2, b, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 0*k - k + 14 = 0, -13 = 5*x + k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -16560887, -33121766, -49682643, -66243518, -82804391?\n\"Answer: j**2 - 16560882*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) - -5*(sqrt(190)*-1 - sqrt(190)))\/(sqrt(80)\/(sqrt(8)*-2)))**2 + 4.\nAnswer: 6160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131122543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -94899*m**2 - 64609 wrt m?\nAnswer: -189798*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 5*g**2 - 14. Let j be t(5). Suppose 115*s = j*s. Let z = 6 - 10. Put 2, z, -3, s in decreasing order.\nAnswer: 2, s, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 6*a. Suppose 0 = 5*g - 2*q + 4*q - 20, -g - 14 = 4*q. Suppose g*n + 4*n = 20. Let z(x) = -3*x**2 - 4*x**n + 4*x**2. What is z(t(p))?\nAnswer: -108*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-1\/4)*a*a*a**5)\/((a\/(a\/(a*a**(-1\/5))))\/a**(2\/5)))\/((a**(-1))**(22\/5)*a**4\/(a**(-2\/11)\/a)) assuming a is positive.\nAnswer: a**(311\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**3 - c**3 + 22 - 17 + 0*c + 10*c**3 - c.\nAnswer: 12*c**3 - c + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*r - 15, 0*r + x - 15 = -3*r. Which is the nearest to -0.1? (a) -2 (b) 2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1443372 less than 20170?\nAnswer: 1463542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (121 - (6 + -37 + 13)) + (-21 - -7)?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(11) + (1*sqrt(88))\/sqrt(8) - (sqrt(121)\/sqrt(11) + 3)).\nAnswer: -1 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 2 - 2. Solve 3 = -j + 2*o, y = -0*j + 2*j - o for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ftqqtiqqf. Give prob of picking 1 q, 1 t, and 1 f.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5599 + 5631. Which is the second smallest value? (a) s (b) 11 (c) -1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-187)\/(-55)*(-7)\/7?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, z: 2, l: 3, x: 2, s: 1, k: 1}. What is prob of picking 1 x and 1 k?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*q + 43*q + 63*q as l*q + u and give l.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8593558?\nAnswer: 2, 61, 70439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 599659 a multiple of 219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -2. Suppose 0*q - c*q = 116. Let v = q + 57. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1751 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4924 + -4764. Calculate the greatest common factor of 45 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w - 2*w + 5*w)*(-1158*w - 6696 + 1197*w + 6686).\nAnswer: -39*w**2 + 10*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1205711.652 to the nearest 10000.\nAnswer: 1210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of h**5\/5 + h**4\/12 - 3*h + 1. Let d(f) be the first derivative of g(f). Find the third derivative of d(x) wrt x.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -20, 6 in increasing order.\nAnswer: -20, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b - 17*b = 18 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14815 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.1, 1, 687 in ascending order.\nAnswer: 0.1, 1, 4, 687","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-84))\/(31*21\/22785)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 780\/36 + 4\/(-6).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -397.02 less than -6848125?\nAnswer: -6847727.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/7*(1 - 7)\/(47*18\/141)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -48, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v + 15. Let o be a(-5). Suppose -o*n = 5*m - 7560, -n - m = 4*n - 7556. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -5*u**3 + 4*u + 4. Let i be q(-3). Suppose -5*a + 53 = -i. Suppose -2*z + 4*v = -a, 3*v - 6 = 5*z - 68. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b - 7685 + 7685.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(sqrt(11) - (sqrt(11) - (sqrt(99)\/(2*sqrt(9)) - sqrt(11)))) - (-4 + sqrt(14)\/(sqrt(7)*1)) - (3*(1 + sqrt(72)) - (sqrt(72) + 2)*-3))**2*5.\nAnswer: 1950*sqrt(2) + 15335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1266.46573 to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 8*i**2 - 7. Let d(n) = -n**3 - 5*n**2 - 6*n - 2. Let r be d(-4). Let k = 17 + 0. What is the remainder when c(r) is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -14) + (42 - 5) + -40 + -29.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 + 44 - 24*k**2.\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -64 + 65 + (2 + -2 - -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 568 is divided by 70?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 b, and 1 f when four letters picked without replacement from {b: 6, f: 4, h: 3}?\nAnswer: 72\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j**2 + 3*j + 4. Let x be w(-2). What is the least common multiple of x\/(-4)*-2 - -79 and 90?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.281 - 1.471. Round v to one decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.051181033 rounded to four dps?\nAnswer: 0.0512","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((10812\/(-12190))\/(-51))?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t**2 - 9*t. Let h(w) = -2*w**2 - 5*w. Let n(v) = -5*h(v) + 3*q(v). Suppose 0 = 41*a - 66*a. Give n(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*y = -14, -3*y + 22 + 41 = 5*k. Let t(p) = 2*p**2 + p + 1. Let s be t(-1). Suppose 6*n - k = s*n. Solve c + n = -2 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/243704 or 1?\nAnswer: 5\/243704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = -2*a - 152. Solve 4*q + 0 + 1 = 5*t, 0 = a*q + 3*t + 29 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 503454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 154 and 312718?\nAnswer: 3439898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56 + -19. Let r = -24 + j. Calculate the remainder when 35 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 3*u + 56*a + 232 = 0, -13*u = -10*u - 2*a + 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3241, -3179, -3069, -2905, -2681?\nAnswer: -2391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 238858 to the power of 1\/2, to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1764) - (sqrt(1764)*-3 - sqrt(1764)))\/sqrt(12)*5 + 1 + -3.\nAnswer: -2 + 175*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54 + 56. Suppose -m = 2*h - 6. Which is the fourth biggest value? (a) 3 (b) h (c) -0.5 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -2*u**5 - 33976*u**4 - 3853538*u**3 - 105719260*u**2 + 223135048*u - 113528272 = 0.\nAnswer: -16874, -58, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/3)\/(6\/45). Let a be 2\/(-2 - (-48)\/23). Suppose -4*c + i*z + a = 0, -5*z + 49 = c + c. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -25.3 (b) -0.1 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -897 in -2\/11, 1209, 0.2, -0.1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 371\/3 - 2606\/21. What is the smallest value in n, -1\/9, -0.12?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(343) - (sqrt(343) + -1 + sqrt(343)))*-5 + sqrt(343)) - -6*sqrt(28)*6*-6)**2.\nAnswer: -41040*sqrt(7) + 3275892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 95145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -413\/13 - -8081\/247. Which is smaller: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**5\/25 - r**4\/30 + 2*r**3\/15 + r**2\/5 + 17*r. Determine b, given that p(b) = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 4:21 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4b14 (base 14) to base 6.\nAnswer: 140514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of m**5\/60 - m**4\/3 - m**2. Let l be p(9). What is the third derivative of -16*n + 14*n**2 - l*n**3 + 16*n wrt n?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + 37 + -37 - 46.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = i + 8. Suppose -9*w = -i*w. Suppose 0*d = -3*d + 9. Solve w = -5*r - 2*g - d*g + 40, r = -3*g + 18 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3\/(-7) - (-115736)\/322 and 8?\nAnswer: 2872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 512568 is divided by 197.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + (-5)\/(-10))\/((-8)\/8).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 207 - 1864\/9. Which is the smallest value? (a) y (b) 1\/6 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25801379?\nAnswer: 25801379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 17529368?\nAnswer: 17529366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhohihhhoihoooh. Give prob of picking 1 i and 2 o.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)*4)**2*2.\nAnswer: 1440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 779335 is divided by 155865.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6657528 kilometers to micrometers.\nAnswer: 665752800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = x - 3*i, 3*x + 2*i - 58132 = -58103 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -7*y. Let m be c(0). Suppose -x - 4*n + 6 = m, -n + 3 = 2. Suppose 2*h = t - 58 + 3, -5*t - x*h = -227. What is t rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (7 - 4 - (-10 - -12) - 8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2112220 + 2232?\nAnswer: 2121112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*w, -99 = h - 4*h - 3*w. Suppose f + 36 = 3*f. Calculate the remainder when h is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4394 = -m + 1660, 3*b - 18222 = -3*m. What is the thousands digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*l**3 + 51*l**3 + 51*l**3 - 150*l**3.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/10)\/((-6)\/(-12))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*3*(((sqrt(120) + sqrt(30))*-6)\/((sqrt(60) + sqrt(300)\/sqrt(5))\/sqrt(6) - sqrt(10)))**2.\nAnswer: 11664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2)*(o\/o**1)\/o*o)\/(o**(-2\/29)*(o\/(o*o**(-9)\/o))\/o) assuming o is positive.\nAnswer: o**(-317\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -0.5. Let s be ((-2)\/5)\/(64\/40). Which is the second smallest value? (a) n (b) 0.1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 155457 and 552.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 201*w**5\/5 + 139*w**3\/3 - 94. Find the third derivative of m(g) wrt g.\nAnswer: 4824*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396 - 41 = 2*k + v, -2*k = 3*v - 357. Suppose -7*j + 362 = -k. Is j a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*6\/(-999)*(-234)\/390.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 66 - -99\/2. Let y = -136 + c. What is the common denominator of y and 1\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 9*r**2 + 18*r + 4. Suppose 0 = d - 2*x - 2*x - 6, 5*d - 30 = -2*x. Let o be s(d). Solve -t = -3*k + 4, -o*t = -4*k + k - 11 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d + 26. Let g be h(-12). Which is the second biggest value? (a) g (b) 0.03 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - 10*j + 12. Let k be m(-11). Let s = 8 + -6. Suppose -5*a - 6*d - 3 = -9*d, 5*a = -d - 19. Put s, a, k in ascending order.\nAnswer: a, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1652*j = -1676*j + 336 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50 + -60. Let b = 14 + k. Is (b\/3)\/(-2)*381\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 132321980.7 microseconds?\nAnswer: 0.00021878634375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 1)*(5*n - 2*n + 0*n)*(3 - 3 + 2*n + (-2 + 5 - 2)*(-n + 3*n - n) - 3*n + 0*n + n) to h + k*n**2 + t*n and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92234749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 9 = 26*y - 29*y, -18 = -6*y - 3*i for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 544661?\nAnswer: 13, 41897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**2 - 2*c + 2. Let w = 14 - 18. Let z be (0 - 12)*10\/w. Suppose -50 + z = 5*h. What is o(h)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 46242719 or 46242729?\nAnswer: 46242729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 times 180.8?\nAnswer: -14283.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 6 = -p. Let o(u) = 2*u**2 - p*u + u + 4*u + u**3 - u - 1. Determine o(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(2\/7)*-1*214 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i + 3. Suppose 3*y - 3*x = 2*y - 11, 4*y + 28 = 4*x. Let w = y - -2. Let g(r) = 3*r - 4. Calculate w*g(c) - 4*m(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 9*s**2 - 2*s + 3. Let n = 11 - 8. Let p(g) = 8*g**2 - g + 2. Let b(a) = n*p(a) - 2*j(a). Find the second derivative of b(w) wrt w.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i - 59 = -19 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.9 + -7. Let w(h) = h**3 - h**2 - 6*h + 8. Let f be w(-6). Let j = f - -4785\/23. Which is the third biggest value? (a) 2\/15 (b) j (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/5 + (-108)\/(-300). Which is smaller: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i**2 + 131*i - 89. Give v(43).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15.64 * -0.354.\nAnswer: -5.53656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -546.91581 rounded to the nearest 10?\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9005, -9004, -9003, -9002?\n\"Answer: c - 9006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 855451, 855435, 855417, 855397?\n\"Answer: -i**2 - 13*i + 855465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/5 or 50?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -8. Suppose -b - 5*c - 8 = -3*b, 28 = -4*b - c. Let u be ((-4)\/b)\/(2\/3). Calculate the greatest common factor of t and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*k = 12882, -6*a + a + 3*k + 12878 = 0. List the prime factors of a.\nAnswer: 2, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - 6. Is d\/42 + (-2286)\/(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -153 - -218.6. Let n = -247.8 + 258. Let l = f - n. What is l rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 59 and -0.213.\nAnswer: -12.567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89483320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 66859184 to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 87*a**2 + 243*a - 2433. Calculate y(-90).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/70)\/(-3 + 15\/4)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 2, 1, -3, -47, 3 in ascending order.\nAnswer: -47, -9, -3, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 324023 and 14628453?\nAnswer: 7903","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 20) + (24 - (-54 - -43)) - -27.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -13.3. Let f = -32.1 - -32. Sort u, -3, f, -11 in increasing order.\nAnswer: -11, -3, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -39*i - 9 - 46*i + i**2 - 49*i + 173*i - 43*i. Suppose 2*j - 10 = -0*j. Calculate c(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 351*f + 65*f + 190*f + 106*f to the form d*f + h and give d.\nAnswer: 712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 4 (b) 3\/2 (c) -1\/4 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-13)\/13 - -10 - 26?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 970.4383 millilitres to litres.\nAnswer: 0.9704383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 19*k**2 - 3*k + 1. Let y be z(2). Let o = y + -13. List the prime factors of o.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 8*d**2 - 880*d + 214. Give a(108).\nAnswer: -1514","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 127566920 by -5.\nAnswer: -25513384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 17 = 52. Solve 5*y + 5*r + 1 = 6, 11 = 3*y + g*r for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 7 + 3 + -17?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 1 - ((-4 - -4) + 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -435 - -435. Let r(s) be the second derivative of 0*s**3 + 7\/6*s**4 + o*s**2 + 0 + 8*s. Let k(q) = 2*q. Determine r(k(n)).\nAnswer: 56*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6118605?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5 + 0)*(-31*j + 28033*j**3 - 29*j - 43*j + 113*j - 10*j) to l + o*j**3 + w*j + v*j**2 and give o.\nAnswer: 28033","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21095 is divided by 459.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22784 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*n + 8*f - 96 = 157*n - 14*f, -4*n = -5*f + 36 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.9 - -6. Suppose y = 2*y - 2, 3*o + 3*y = 12. Let f be 24\/15 - o\/1. Which is the closest to q? (a) f (b) -0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v - 2. Let b(g) = -4*g + 2. Let z(i) = -7*i + 3. Let r(j) = -5*b(j) + 3*z(j). Give 3*r(y) - 2*u(y).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 293 - 169. Suppose 0 = 2*c + 2*j - 72, 5*j + x = -27*c + 30*c. Calculate the remainder when 110 is divided by c.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-96)*(74168\/(-1905))\/(-292)?\nAnswer: -1\/72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5980 + 11494. Suppose -5*o + l = o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/20 + (-6 - (-63)\/12). Solve 4*y = -2*g - 4 + 6, u = -y + 4*g - 13 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2471 + -2471. Suppose 3*b - 2 = -5*z + 6, -3*b = -5*z + 32. Put z, 2, m in increasing order.\nAnswer: m, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 2*c - 8)*(-1 - c + 1 + (1 - 7 + 2)*(-2*c + 2*c + 2*c) + 2*c - c - 5*c).\nAnswer: -26*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(1088) + -2) - sqrt(1088)) + sqrt(1088))**2 + 1.\nAnswer: -288*sqrt(17) + 9829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -159 - -222. What is the highest common divisor of 14 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**5\/4 + 19*k**4\/4 - 77*k**3\/2 - 439*k**2 + 990*k = 0 for k.\nAnswer: -22, -9, 0, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/2 - (-5 + 3). Let u(j) = j - 1. Let q(i) = -3*i**3 - 3*i**2 + 6. Let z(a) = d*u(a) + q(a). Factor z(r).\nAnswer: -3*(r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 5*a**2. Let j(s) be the first derivative of -s**5\/60 + 2*s**2 - 3. Let f(t) be the second derivative of j(t). Determine f(b(v)).\nAnswer: -25*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.4 (b) -1\/26 (c) -3 (d) 0.144049\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 0.1845?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y = 29*y - 9048. Let i = -230 + y. Sort i, -1\/2, -13\/5 in descending order.\nAnswer: i, -1\/2, -13\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10178221 to the power of 1\/3, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2256155, -2255862, -2255369, -2254670, -2253759, -2252630, -2251277, -2249694?\nAnswer: -2247875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 746006339 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1135*h + 2935*h - 18443 + 117443 for h.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3 + 2*v**2 - 2*v + 9 - v. Let f(d) = -9*d**2 + 15*d - 30. Let y(i) = -5*f(i) - 24*z(i). Find o, given that y(o) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 315 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13\/7 in 0, 5, 0.83?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 9*z**2 + 12*z - 19. Determine c(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 48 = -3*l. Suppose 0*d = 8*d - 264. Let u = l + d. List the prime factors of u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - q + 1, 2*q - q - 1 = 0. Let i(w) = w + 4. Let k be i(u). Suppose 220 - 3176 = -k*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31350013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -3*n + 6. Suppose n*t - 28 = 14. List the prime factors of t.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*t - 10. Suppose -5 - 8 = 13*r. Which is bigger: t or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 326 plus -216486472.12?\nAnswer: -216486146.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1062549*j*o*x**3 - 2*j*o*x**2 + o*x**3 - 2*o*x**2 + 41*x**3 - 2*x - 482 wrt j.\nAnswer: -1062549*o*x**3 - 2*o*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/293? (a) 6 (b) 2\/3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (918\/(-72))\/((-1)\/4) is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -12*s**2 - 491704*s - 491692 = 0.\nAnswer: -122923\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r**2 + r. Let k = 5 + -6. Calculate the remainder when 2 is divided by z(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80971603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45*g - 4 - 6 + 9)*(9 + 1 - 4).\nAnswer: -270*g - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -90 + 17be5?\nAnswer: 17b55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 - 92028*f - 58582352.\nAnswer: 2*(f - 46642)*(f + 628)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sviww. What is prob of sequence sv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -x - 42. Suppose -o - 3*o = -3*r + x, 0 = 3*o - r + 13. Let u(q) = -q**3 - 5*q**2 - 5*q - 4. Is u(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 6*i**2 + i + 7. Let d be r(-6). Suppose p - d = 24. What is the highest common divisor of 10 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 954 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*s**3 + 22*s**2 - 10*s**2 + 50*s**2 - 2*s - 1 - 17*s**3 + 33*s**3 in the form c*s**3 + h*s + q + k*s**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 35978.03 kilometers?\nAnswer: 3597803000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4499701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (4 - 1) + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -1 - n + 5*n + 4. Let v(b) = b**2 - 3*b + 7. Let w be v(4). Suppose -3*g = w + 1. What is r(g)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246655 is divided by 128.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -69, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 180, 392, 688, 1068, 1532?\nAnswer: 2080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/849 and -137\/408.\nAnswer: 115464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-13)\/((-130)\/(-30)) - 24\/(-2). Let b be -3 + 0 + k - (2 + 1). Let f(j) = j**3 - 3*j**2 + 3. Determine f(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 not equal to 248?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -232435 (base 7) to base 9\nAnswer: -63211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*k = -5*z - 86*k + 31*k + 296, -2*z - 2 = -5*k - 1 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4323 divided by -11\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 6*b**2 + 2*b - 6. Let m be h(-2). Suppose 18*r - 22 = m. Let o be 3\/2*140\/15. Solve -5*p = 2*x - o, -x = -2*p - 0*p + r for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93201628 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 460 = 4*c - 2*f, 6*c - 4*c + 5*f - 230 = 0. Suppose 3*b = 4*b - c. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1147734 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -9*i**3 + i**2 + 3*i + 2. Suppose -3*r - 7*b + 11*b - 11 = 0, 3*r - 7 = -5*b. Calculate x(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*s - 1001 + 1967 = 0 for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2801011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ebeegeggeegegebegg. What is prob of sequence gbgb?\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 194.919 to zero dps.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.6 - 0.6. Let f = 16 - h. Which is the nearest to f? (a) 1\/4 (b) 4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1372))**2 + (sqrt(343))**2 + 3.\nAnswer: 1718","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**2 + 14 - 89*x**4 - 72 - 2*x + 42*x**4 + 45*x**4 in the form q + i*x + c*x**4 + t*x**2 + k*x**3 and give q.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = k - 26140. What is the units digit of 4\/(-30) - 2\/(120\/k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 8*y + 13. Let m be n(-6). What is the least common multiple of -1 - m - (-2 + -5 - -3) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -69474737186 from -50.36.\nAnswer: 69474737135.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 6*t**2 + t - 2. Let x be z(6). Let u = x + -1. Sort u, -0.3, 0.5 in increasing order.\nAnswer: -0.3, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*i + 96*i + 3 = 0. What is the remainder when (106\/4)\/((-3)\/(-6)) is divided by ((-3 - -2)\/i)\/((-2)\/(-54))?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100011010010100100011 (base 2) to base 3\nAnswer: 2011202021011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*r**3*t**3 - 8*r**3 - r**2*t**3 - 6778*r*t**2 - 312*t**3 wrt t.\nAnswer: 18*r**3 - 6*r**2 - 1872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = q - 240, -270 = -5*f + 2*q + 330. What is the highest common divisor of f and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-105)*(-28)\/24\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2525120 or -2525123?\nAnswer: -2525123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 113549640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -85\/79 smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/378*14)\/((-6)\/45)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3*sqrt(32) - sqrt(2)) - ((sqrt(2) - (sqrt(162) + 0))**2 + (sqrt(2) - (sqrt(2) + sqrt(2) + (sqrt(2) - (sqrt(2) - sqrt(8)))*3))).\nAnswer: -132 - 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -197768*o + 1186058. Calculate u(6).\nAnswer: -550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - l + 1. Suppose 159 = 7*u + 166. Let x(g) = -3*g**2 + 2*g. Give u*x(d) - v(d).\nAnswer: 2*d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.38 - -0.12. Let p = k - 0.8. Which is the nearest to -1? (a) -2\/15 (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -105, -107, -109, -111, -113?\n\"Answer: -2*i - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.114115 - 0.584057. Let l = 0.53 - y. Round l to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 11*v**2 - 13*v - 8. Let n be s(-12). Suppose 16 = n*r, 4*r = -w - 0*w + 11. Sort 0, -4, w in increasing order.\nAnswer: w, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -37 + 7. Suppose -156 = l*d - 2*d. What is the common denominator of -101\/10 and d\/(-9) + (-2)\/2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1124?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1414350?\nAnswer: 2, 3, 5, 7, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 6*m. Let z be h(-6). Suppose 5*r = -4*i - 78, i + 2*i = -6. Let g be -1 + 4\/(-1) + 9. Put g, z, r in decreasing order.\nAnswer: g, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -79, 0.1, -1, 1, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 156\/(-30)*(-515)\/206?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-9)\/6)\/(6\/(-44)). Suppose o + 5*s + 21 = 0, 0 = -o - 0*o + 3*s + r. Let f be (o\/((-15)\/125))\/(2\/6). Solve -4*h - 9 = -f for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -15*t**2 + 8*t + 12. Give f(-2).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32111 - 14.129.\nAnswer: -32125.129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -642*y + 616*y + 26. Which is the nearest to -0.6? (a) 5\/3 (b) 15 (c) y (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160639.53 less than or equal to 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20692 or 8563?\nAnswer: -20692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 0*s**2 - 4*s**2 + 3*s**2 - s**2. Let u(h) = -16*h. Give u(o(b)).\nAnswer: 32*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -10*x - 240. Let l(t) = 3*t + 94. Calculate -8*l(g) - 3*w(g).\nAnswer: 6*g - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*n + 1854 = -1641 - 239 - 571 for n.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 180298*r**3 + 180309*r**3.\nAnswer: 11*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 59862469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r\/(r\/(r*r**(-6\/7))*r)*r)))\/r)**(20\/11)\/(r**6*r*r)**(29\/3) assuming r is positive.\nAnswer: r**(-18224\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**(-24))*c**18*c**(3\/8)\/c**19)**(18\/5) assuming c is positive.\nAnswer: c**(1683\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -8. Suppose -l + 2*s - v = s, -l + 12 = 2*s. What is the second derivative of t + 11*t**2 - 11*t**l - 6*t**4 wrt t?\nAnswer: -72*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164449187 is divided by 82224593.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3581333 = 150*q - 3081217. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xlw when three letters picked without replacement from kwakxkklkakkkbbkkk.\nAnswer: 1\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/3)*i*i)\/i)**(-10) assuming i is positive.\nAnswer: i**(-50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + (sqrt(38)*-2)\/sqrt(2) - (-3 + -1 + sqrt(19))) + -1*sqrt(1539)*5 - (sqrt(152)*3*-1)\/(sqrt(40)\/sqrt(5)*6).\nAnswer: -93*sqrt(19)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-10))\/(567\/(-3780))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 + 55 + 2 + -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 122 + -113. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1138012869 or -1138012868?\nAnswer: -1138012868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306839.\nAnswer: 13, 23603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3453217 + 54?\nAnswer: 3453273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, r: 2, o: 10, u: 2, i: 4}. What is prob of picking 1 u and 1 r?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2134015 + -5?\nAnswer: 2134010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 438176922?\nAnswer: 2190884610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -123*m - 631. Determine y(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 238437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5 + (sqrt(99)\/(sqrt(15)\/(sqrt(5) + sqrt(20))))\/(1*sqrt(243) + sqrt(33)\/(sqrt(44)\/sqrt(4))) + -3)**2.\nAnswer: 99\/100 + 6*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 277287 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 3) + (-129 - -92).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345582 is divided by 842.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45 - 42. What is the second derivative of 175*g**3 - 24*g - 3 - 146*g**3 + w wrt g?\nAnswer: 174*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.76 - 3. Let f = 0.06 - i. Suppose 43 - 18 = -5*k. Which is the closest to -1? (a) k (b) f (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4460*m**3 - 6*m**2 + 1207*m.\nAnswer: 26760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*m - 3346 - 1142. Let f be (1 + -2)\/((-176)\/m - -1). Which is bigger: -7 or f?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -532 - 5178 = -5*q. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25.424 * -36\nAnswer: 915.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37006951 is divided by 18266.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (132\/10)\/((-10)\/(-25)). Let q = b + 362. Suppose -1105 = -2*u - q. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (40\/30 + (4 - 1856490\/(-9)))\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10118 and -864464.\nAnswer: -854346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 + 6158712*m - 36952344.\nAnswer: 2*(m - 6)*(m + 3079362)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*y - 204 = -22*y. Let n = 68 - y. Suppose 4*l + 5*l - 153 = n. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 21\/5, 11, -2\/5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 345620?\nAnswer: 2, 5, 11, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -5*y - o + 12, -12 = 3*o for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -16*z. Let g be 27\/6*1\/((-9)\/(-4)). Let f(k) = -1428*k + 1428*k - 5*k**g. Determine c(f(o)).\nAnswer: 80*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 i, and 1 v when four letters picked without replacement from evnivvvvnenv.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 599903, 1199812, 1799727, 2399648, 2999575, 3599508?\nAnswer: 4199447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 156333130 at least as big as 156333131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -1.99999945. What is f rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 152, 514, 962, 1370, 1612?\n\"Answer: -21*b**3 + 169*b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2101*i*u + 813*i - 1 wrt u.\nAnswer: -2101*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -7*n + 2*n, -n - 8113 = 3*p. Suppose 4*g - 17881 = 5*y, 5*y + 22345 = 8*g - 3*g. Let b = g + p. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28.1 + -31.1. Are t and -40\/11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 3*l + 0*l**3 + 2*l + 0*l. Let p be m(-1). Suppose p = -b + 4 + 7. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 998.3155 litres to millilitres.\nAnswer: 998315.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 333*r**4 - 679*r**4 - 137*r**2 + 334*r**4 - 3284*r + 0*r**3 + 0*r**3 wrt r?\nAnswer: -144*r**2 - 274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -397, -1202, -2007?\nAnswer: -2812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 5*s + 2 + 40 = 0, 1793*s - 1789*s = -2*g - 32 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81353 is divided by 78?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*r**2 + 3*r**2 + 2*r**2)*(-6*r**2 + 2*r**2 + 5*r**2) to q + n*r + m*r**3 + p*r**4 + v*r**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30293, -62471, -94649, -126827, -159005, -191183?\nAnswer: -223361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(-2)*(404\/(-20) + -4). Let a = p + -583\/10. Put -1\/6, -2, a in descending order.\nAnswer: a, -1\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 501 = -12*q - 567. Let x = q + 89. Solve x*n - n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 10*u + 14. Let c be i(-11). Suppose 5*y + 33 = c. Does 12 divide y*8\/(-12)*18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - v - 2. Let r be t(0). Suppose s - 3 - 7 = 0. Suppose -8*h = -3*h + s. Is r not equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 196a3 + 28?\nAnswer: 196cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 0 + -95 + 95\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**3*s)\/((s*s**(-3\/8)*s)\/s*s))**(23\/6)*(s*(s*s*s**(-2\/13))\/s*s)\/(s**5\/s)*s*(s*s**(2\/15)*s)\/s*s*s**(2\/7)*s assuming s is positive.\nAnswer: s**(-148453\/21840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 32\/((-1952)\/(-549)) + 6477\/(-737) + 4\/(-22)\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/(-10))\/(6\/120). Let r = y + -11. Suppose r*p + 12 = -3. Let t(m) = -4*m - 1. What is t(p)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14121581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*c - f, 0 = -4*c + f + 27 + 18. Let h(d) = 25132*d - 7. Let z be h(c). Suppose -5*u + z = -1998687. Round u to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(108) + (sqrt(108)*2*4 - sqrt(108)))**2 + 0.\nAnswer: 6916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 928 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: Calculate 72\/312*39 - -1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 8*d**2 + 13*d - 3. Let x = 8 + -19. Let i = -2 - x. Is f(i) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -918 = -a - 2*r, -a + 285 = -r - 636. List the prime factors of a.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 13*z**2 - 14*z - 12. Let o be x(-14). What is the tens digit of 41\/3 + (-4)\/o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 97, 30811, -4 in increasing order.\nAnswer: -5, -4, -2, 97, 30811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3109788 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84) - 5*-2*sqrt(84))*-6)\/((sqrt(84) + (sqrt(84)*1 - sqrt(84)) + sqrt(84))\/sqrt(7) + (2*sqrt(588) - sqrt(588))))**2.\nAnswer: 3388\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nz when two letters picked without replacement from bzbnbbbzzr?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -10.2. Let h = 1063 - 1062.2015. Let y = h + t. Round y to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + -3. Let d be ((-2)\/(-4))\/((-3)\/h). Let i(f) = -3*f**2 + f**3 - 2*f + 1 + f + 4*f - 2. Calculate i(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 1927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 581665044?\nAnswer: 2, 3, 47, 21943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33 in -1, -2, 4, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4*h**3 - 2*h**2 + 5*h + 4. Suppose -143*r + 145*r + 27 = -5*n, 22 = -2*r - 4*n. Let w(p) = -p**3 + p + 1. Determine r*q(m) + 4*w(m).\nAnswer: -8*m**3 + 2*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.38 in -1, -1\/2, -5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -182, -403, -706, -1091, -1558?\nAnswer: -2107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p. Suppose 5*w - 7 = 3*i, i - 3 + 2 = 0. Let c(r) = 3*r**2 + 0*r**2 - 8*r**w. Give v(c(d)).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -73 - -85. What is the lowest common multiple of 8 and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-910)\/(-245) - (-4)\/14. Which is the third biggest value? (a) 0.27 (b) 0.3 (c) x (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -55 + 145.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -343531975 + -5.\nAnswer: -343531980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*z**4\/2 - 24*z**3 + 9*z**2\/2.\nAnswer: 3*z**2*(z - 3)*(5*z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.04248946 - 142893378\nAnswer: -142893378.04248946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0338, -0.07, -2, 2, -0.03 in decreasing order.\nAnswer: 2, 0.0338, -0.03, -0.07, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/48)\/(7\/2).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*q = 203*q + 90*q + 35 - 378 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 574397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 34 + -25 + (-3 - (0 + 44)) + -2\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/2, 1\/5249, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*d - 76 = 4, 3*o - 21 = -3*d. Let t(p) = -2*p - 4*p**2 + 9 - 7*p + 5*p**2. Calculate the remainder when t(o) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -g - 3*x, -4*g - 4*x + 79 = -61. Suppose 0 = -4*w + 3*w - g. Let n be (-10)\/w + (-3432)\/7. Round n to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14918934427\/504 - -29601049. Let l = 2\/11535 - -61478\/242235. Let y = i - l. What is the common denominator of 85\/6 and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2136 - -2184. What is the lowest common multiple of 114 and g?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 25*k**2 - 20*k - 31. What is f(26)?\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1382?\nAnswer: 2, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 10*o + 20. Suppose -18 + 74 = 7*g. Let b be c(g). Solve 2*s + b = -0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -15594266 and 1.6?\nAnswer: 15594267.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 4*v**5 + 36*v**4 + 56*v**3 - 136*v**2 - 60*v + 100 = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**2 + 13*c + 11. Determine k(-8).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rs when two letters picked without replacement from {r: 2, c: 5, p: 1, s: 1, h: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -5*l**2 - 513*l + 80. What are the prime factors of n(-88)?\nAnswer: 2, 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201.6279m in nanometers?\nAnswer: 201627900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272*m + 269*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -904928, -1809665, -2714402, -3619139, -4523876?\nAnswer: -5428613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3516*g**2*x - 2*g**2 - g*x + 114*g wrt x?\nAnswer: -3516*g**2 - g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35257\/3990 - 2\/665. What is the common denominator of -1\/10 and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 84 + -8166?\nAnswer: -8072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -291 (b) 1\/4 (c) 2 (d) -0.1 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -5*w**5\/2 + 55*w**4 - 325*w**3\/2 - 370*w**2 + 930*w + 1080 = 0?\nAnswer: -2, -1, 3, 4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -8, 15, 6.3 in decreasing order.\nAnswer: 15, 6.3, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.079 - 0.189. Let f = 19.337 - 19.22737. Let p = f + d. Round p to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00484586318 to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/9)*k**(-5))\/(k*(k*k\/(k\/(k*k**(-6)\/k)))\/k*k**(-1)) assuming k is positive.\nAnswer: k**(11\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1727*p**3 - 3476 wrt p?\nAnswer: -5181*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2293\/6, 2, 3, -3, -0.5 in descending order.\nAnswer: 3, 2, -0.5, -3, -2293\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 26*r**2 + 92*r + 17. List the prime factors of o(-15).\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q - 4*p + 10, -5*p + 22 = -6*q + 7*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20935413, 41870829, 62806245, 83741661?\nAnswer: 104677077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 96?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -173 + 177. Solve 2*w = 4*w + l for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -43*s - 1. Give k(1).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 698, 115, -952, -2503, -4538, -7057?\n\"Answer: -242*m**2 + 143*m + 797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 16 = 0, -50*b + q = -54*b + 2376. List the prime factors of b.\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 72\/5 of a litre?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 660122 is divided by 216.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3074405787 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11621510827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1397 + 1395.5. What is the biggest value in -3, 1\/3, p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7090189005?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 102 - 25937. Let d = -7427 + y. What is d rounded to the nearest 100?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 939 + -631. Suppose k + 52 = 9*q. Calculate the remainder when q is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 4*o + 11 = 0, -2 - 3 = 5*b + 4*o for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 9*f**4 + 64*f**3 + 281*f**2 + 371*f + 165. Let w(m) = -8*m**4 - 64*m**3 - 280*m**2 - 372*m - 164. Let b(r) = 5*w(r) + 4*y(r). Factor b(q).\nAnswer: -4*(q + 1)**2*(q + 4)*(q + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = x - 3*p, -2 - 1 = -5*x - 3*p. Suppose -2*g + x = -5. Calculate the remainder when g is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67 - 49. Is r a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80994 - 83891 = 1138*c - 64741 for c.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 8*g - 252. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a**3*y**4 - 597*a**3*y**2 - 4*a**3 - a**2 wrt y?\nAnswer: 8*a**3*y**3 - 1194*a**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 91 - 40\/(-8)*3\/(-15). What is the greatest common factor of 10 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*y**2 + 0)*(-3 + 3 + 1) - y**2 + 4*y**2 - 4*y**2 + (2*y + 0*y + y)*(-2 + 2 + 2*y).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 - 40 - 57*g**2.\nAnswer: -57*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.1414 to two decimal places.\nAnswer: -7.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -n**4\/12 - 6*n**2 - 28*n. Let u(d) = -91*d + 2. Determine z(u(x)).\nAnswer: 182*x - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 5*s**2 - 8*s + 1. Let o be (-148)\/18 - (-6)\/27. Let m be (-11 - o) + -5 + 2. Calculate g(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (832\/(-80))\/((-2)\/(-30)). Let x = d - -175. Solve -l = c - 4, 3*l + 3*c = 7*c + x for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1198, -1213, -1246, -1303, -1390, -1513, -1678?\n\"Answer: -a**3 - 3*a**2 + a - 1195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2230\/9 + 248. Let w(l) = -l**2 + l + 3. Let o be w(0). Let b = o - 4. Put -7, k, b in decreasing order.\nAnswer: k, b, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -27*q**2 + 5*q. Let b(z) = 29*z - 425. Let k be b(13). Let u(g) = -256*g**2 + 48*g. What is k*j(r) + 5*u(r)?\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r + 3*o - 5 = -21, -209465*r + 2*o = -209489*r + 56 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1251734143 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 72*s + 43*s + 50*s**2 - 4381 + 5*s**3 + 4451 = 0.\nAnswer: -7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17484 - 14236. What is the highest common factor of s and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5771 (base 8) to base 6\nAnswer: 22105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 6*s**3 + 2*s**4 + 3*s**3 + s**3)*(-2*s - 4*s + 7*s) - 127*s + 127*s + 324*s**5.\nAnswer: 326*s**5 - 2*s**4 - s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 33, -3, 0.13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33570*h - 33670*h - 3100 for h.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 163 - 74. Let i(u) = -u**2 - 16*u - 36. Let o be i(-4). Let h(x) = 2*x**2 - 25*x + 100. Let y be h(o). Is y at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 (base 11) in base 14?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 391 + -389. Suppose -6 = 3*k + 4*y, c*k - 5*k = 2*y. Solve 2*j - x + 2 = 0, 0 + 4 = k*x for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -287 + 1885 = 17*s. Let y = 105 - s. Solve -y + 1 = -5*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -315, -317, -319?\n\"Answer: -2*a - 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -3*y + 12, -4*y + 1 = 2*m - 0 - 5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 5485 = -35808. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7*(-2)\/42*(-4 - -34)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44329.67l to millilitres.\nAnswer: 44329670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, l: 4, b: 1, o: 6, c: 1, v: 2}. Give prob of sequence cogo.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = p + 3*k - 17, -18 = 2*p - 5*k for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11670\/270 + ((-25)\/(-9) - 3). Are -5 and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 27*y**2 - 13*y - 15. Let j be v(28). Let k = -397 + j. Solve 10*r = 5*r - 4*q - 10, 4*q + k = -4*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3\/8, -1, 2, 4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -7. Let s(w) = 6*w + 4 + 0 + q*w + w. What is the units digit of s(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9.294497 millilitres?\nAnswer: 0.009294497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 89 = 299. Suppose -75 = 6*g - 9*g. What is the least common multiple of d and g?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 594893?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1342 + 4?\nAnswer: 1346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - ((10 + -21 - 15) + -11)) + 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1230, 2527, 3822, 5115, 6406, 7695, 8982?\nAnswer: 10267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5450 is divided by 43?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-145)\/(-45) + -3)\/(6 + 406\/(-63))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (99\/2079)\/(19\/(-7581)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 4) + (-19 + -8 - -12) + 11?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-707)\/(-560) + (-2)\/32)\/(63\/(-30)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -226*i + 59*i - 3*i**2 - 1629 + 168*i to l + r*i**2 + j*i and give l.\nAnswer: -1629","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -9819 divided by -3\nAnswer: 3273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1342557?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.38, 6\/533, -5.\nAnswer: -5, -0.38, 6\/533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-2)\/5 + 468\/45 and 0 - 4\/18 - 74\/(-9).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 times -0.158?\nAnswer: 1.422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 2 = -10. Let f be (u - -3)*0 - -66. What is the greatest common factor of f and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*u**3 - 7*u**3 + u**2 - 4*u**4 + 10*u**3 + u**4 - 2*u in the form n*u**3 + x*u**4 + z + y*u**2 + i*u and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -267*u**5 - 151*u**4 - 162272*u wrt u?\nAnswer: -5340*u**3 - 1812*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.19*-4.8\nAnswer: 0.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 0.041\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 11:25 AM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6617 is divided by 1391.\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.3, 7, 64, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 11*q**2 - 313*q - 126. Does 12 divide h(50)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/7*2*(-3 + 2). What is the biggest value in -1\/4, 2\/9, u, -19?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i - 319 + 267 = 0. Let v(d) = 6*d + 7. Calculate v(i).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1702391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 431 + -90. Calculate the highest common factor of 11 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 0, 6, 1\/30 in ascending order.\nAnswer: 0, 1\/30, 1\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -0.35, -2\/11, -2, 6737, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -60.7 (b) -3 (c) -4 (d) 2 (e) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6176914123 to the power of 1\/2, to the nearest integer?\nAnswer: 78593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.9 + 0.1. Let h = -1378\/2415 + -2\/2415. Which is the nearest to -19? (a) -3 (b) n (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -19. Suppose -5*x + 772 = 3*j, 5*j - h*j = 3*x + 780. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of 0 + 0*h - 239\/60*h**5 + 0*h**3 + 0*h**4 + 32\/15*h**6 + 63*h**2. What is the third derivative of b(n) wrt n?\nAnswer: 1536","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78350620?\nAnswer: 2, 5, 17, 79, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + -679)\/(427\/(-35) + 12). Calculate the greatest common factor of c and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 4*u + 5*o + 7, -4*u - 1 = 3*o. Solve -3 = u*c + c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26928 and 65736?\nAnswer: 2235024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/9, 5, 2, 60?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 15*x**2 + 16*x + 6. Give f(16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5372 and 768?\nAnswer: 1031424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**5\/m)\/(m**7*m))\/(m**(1\/7)\/m**1))**30 assuming m is positive.\nAnswer: m**(-660\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -3) + (19 - 15)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s - 4. Let p be y(3). Suppose -u = p*u - 12. Let w be (-30000)\/(u\/(-2))*2. What is w rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4.25 or 4?\nAnswer: -4.25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29.1 + 28.8. What is the closest to -2\/9 in -1, 0.4, 0.8, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6774.\nAnswer: 2, 3, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -717*q + 6079 = -16148 for q.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-56)\/24 + (-2)\/(-6). Let u(f) = f**3 + 2*f**2 - f + 1. Let t be u(p). Solve t*k - 6 = -3*x, -2*k + 0*x = 5*x - 1 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 507 is divided by 101?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108149 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -23.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5*(-1 + (-7)\/(-5)). Let r = 29 - c. Suppose 4*p + 5*i = r, -2*i - 13 = -4*p - i. Is p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of p**4\/6 + 2*p**3\/3 + p**2\/2 + 10*p + 14. Let g(k) = 3*k**2 + 7*k + 3. Determine -4*g(d) + 7*x(d).\nAnswer: 2*d**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 159 - 154. Which is the second smallest value? (a) -0.3 (b) -0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5519 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**3 + 0*k**2 - 9*k**2 + 57*k**2 - 133*k - 11*k = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -198639 or -74?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224*n**2 + 301*n**2 - 5 - 16 + 6 - 78*n**2 - 7.\nAnswer: -n**2 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 157945 and 1430185?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -34*k - 29. Suppose 591 = 3*w + 597. Let m(o) = 8*o + 7. Let b(i) = w*z(i) - 9*m(i). Let q(h) = -h - 2. What is -4*b(d) + 11*q(d)?\nAnswer: 5*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 - -0.4. Let j = -0.1 - o. Let r = -1 - j. Which is bigger: r or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 599525.51 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, g: 3, c: 1, z: 9}. Give prob of sequence zcc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -1155.\nAnswer: -1\/385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10113, -17164, -24173, -31146, -38089?\nAnswer: -45008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 9:37 PM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q + 96. What is g(27)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31)\/(-11) + 2 + (-4)\/(-22)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + f. Let x(j) = j. Let k(s) = -h(s) + x(s). Let n(v) = -1 + 15*v + 1. Give n(k(w)).\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22801924 a multiple of 535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (-19 - (16 + -159 + 3)) + -21?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -91 divided by -13010\nAnswer: 91\/13010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33.667 - 2.407. Let s = v - 31. What is s rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235 is divided by 39.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3781488506 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojonwnmjammj. What is prob of picking 1 j and 1 a?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8\/2265 - -82327\/9060. Let x be (1 - (-18)\/(-10))*-5. Find the common denominator of (-2)\/x + (-62)\/8 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 87\/197, 0.2, 1, -1\/15 in decreasing order.\nAnswer: 1, 87\/197, 2\/9, 0.2, -1\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m = 15*m. Suppose -6*z + 709 - 565 = m. Suppose x = 5*p - 2*x - 205, -p = -5*x - 19. Calculate the remainder when p is divided by z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2030760 = 3*n - 320760. Round n to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 142\/8 - (-2)\/8. Let s be 98 + (-1 - -1) + z\/(-9). Calculate the greatest common factor of s and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/11)\/x**(15\/2)*(x*x**(-2\/15))**(-14\/11) assuming x is positive.\nAnswer: x**(-2899\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 385 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 160407 and 320814.\nAnswer: 320814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/3 - 4*f - 28\/3.\nAnswer: (f - 14)*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 3. Suppose h = -3*h - q*y - 38, -2*y = -5*h - 43. Let g be (-3)\/h*3*-1. Which is smaller: -2 or g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2 = 0, -5*p + 4*n = -20 + 1. Let j be p*(2 + -1)*2. Suppose -5*s - j = -21. What is the remainder when 12 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 131*r + 134*r = -14, 5*r = b + 6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4*v - 1 + 3 + 4*v + v. What is x(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/161820 and -11\/3171672?\nAnswer: 15858360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 7. Suppose -g = -2*z - 5. Let k(p) = p**3 - p**2 - p + 1. Let d(q) = -q**3 + q - 1. Let f(w) = 4*d(w) + 3*k(w). What is f(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of 17*n**5\/60 - n**4\/3 - 4*n**3\/3 - 35*n**2 - 2. Let r = 2 + 3. Let l(w) = -11*w**2 + 5*w + 5. Calculate r*t(s) + 8*l(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174*y + 158 = 854. Solve 2*q = 13*w - 14*w, -y*w - q = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1.9, 4, 2, -5, 1\/4, 55194 in increasing order.\nAnswer: -5, 1\/4, 1.9, 2, 4, 5, 55194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -579 - -583. Sort -1\/8, w, 0, 2\/9.\nAnswer: -1\/8, 0, 2\/9, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 176*z**3 + 56*z**2 - 56*z + 56. Let n(o) = 16*o**3 + 5*o**2 - 5*o + 5. What is -56*n(k) + 5*p(k)?\nAnswer: -16*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 835 = 14*i - 607. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 2. Let f be -10*(-2 - 3\/d). Suppose 3*y - 4*n = 49, -2*y = -f*n - 46 + 18. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(475)*-3 + sqrt(475) + 0 + (0 + sqrt(475) - sqrt(475)) + sqrt(475) + 5)**2.\nAnswer: 850*sqrt(19) + 137300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 16 = -6. Let s be h - (1 - 6\/(-9)). Let m = s - -4\/15. Which is smaller: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*y + 4*y**2 - 14*y)*(4*y + 0*y - 2*y).\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*o = 634, -3*v + 3*o = v - 1293. Suppose 4*n + 79 - v = 0. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 284, 0, -24, -5, -4 in decreasing order.\nAnswer: 284, 0, -4, -5, -11, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k**3 - 7*k**2 + 4*k + 36. Let p(j) = 17*j**3 - 27*j**2 + 17*j + 143. Let v(b) = 9*l(b) - 2*p(b). What is the units digit of v(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -t + 7, 4 = 3*t + 19. Suppose w - h = 0, -2*w + 2 = -3*x - 0*w. Let d(a) = -4*a + 3*a + 0*a**2 - 4*a**x. Calculate d(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1502 is divided by 1441?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - (-13 - (-1 + 0)). Let c be (-2)\/v + 8\/44. Suppose 4*t - 4*o - 100 = -c*o, 3*o = 2*t - 47. Calculate the highest common divisor of t and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3928053 is divided by 25842.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**4\/23 + 1442*a**3\/23 + 85298*a**2\/23 + 791622*a\/23 + 1253556\/23 = 0. What is a?\nAnswer: -657, -53, -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12548 and 50192?\nAnswer: 50192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 12 = 2*d, -5*d + m = -m + 65. Suppose 35*j + 90 + 464 = -181. Which is bigger: j or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 292\/15723 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ykyyykkyyyyyyyyy. What is prob of picking 2 k and 1 y?\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + -1*(-2*sqrt(133) + sqrt(133)))\/(-1*sqrt(448)).\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 59.305898 and 1.5?\nAnswer: 57.805898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g + 2. Let u be i(-2). Suppose -u*r + 0*r + 5*j + 15 = 0, -12 = -r + 4*j. Solve -4*x + 2*b + 6 = r, 0*x - 3*x - 4*b = -32 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12931 is divided by 43?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*s + 26 + 3*s - 2*s - 17*s**2 wrt s?\nAnswer: -34*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*l = -276, 10*s = 5*s - 5*l + 500. Let m = s + -93. What is the second smallest value in m, 1.6, -2\/3?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54 - 3.37\nAnswer: -57.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-462)*7*-3. Which is bigger: y or -17?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*b*h**2*r + 182*b*h**2 + h**2*r - 6*r wrt r.\nAnswer: 3*b*h**2 + h**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37*w**3 + 22*w**5 - 37*w**3 + (4 - 7 - 9)*(-9*w**5 + 14*w**5 - 6*w**5).\nAnswer: 34*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -221*b + 211*b + 10. Solve -3 = 2*z - b for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*f + 81 = -5*y + 149*f, -2*y + 69 = 33*f for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 11:46 AM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 19506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 344861113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i + 3. Suppose -2*j - 4 = -4*j. Let y(b) = 0 + 2 - 2 + j + 2*b. What is 4*g(k) - 5*y(k)?\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.7 + -3.8. Let b(c) = c**2 + 6*c + 2. Let f be b(-5). What is the second biggest value in f, -1, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4862 - 4?\nAnswer: 4857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y - 15*y - 8 = 0. Suppose -1188 = -4*g - y*p, 3*g - 529 = 2*p + 357. What are the prime factors of g?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -200.16 rounded to zero dps?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.19 + -2.09. Let q = -45 + 43. Put r, q, -4, 0.4 in decreasing order.\nAnswer: 0.4, r, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 190\/9 + -21. Let a(h) be the third derivative of -2*h**2 - 5\/72*h**4 + 0 + 0*h - t*h**3 - 1\/60*h**5. Factor a(d).\nAnswer: -(d + 1)*(3*d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.43 - 83.\nAnswer: -83.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2, 0, 14, 46, 102, 188?\n\"Answer: t**3 - 5*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-16 + 7 - 17)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*i**3 - 234*i**3 - 15*i**2 + 15*i**2 + 125*i**3.\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(1\/12))\/s**6)\/((s*s*s*s**(1\/8))\/s**(1\/2))*(s*s*s\/((s*s**(1\/3))\/s))**(-45)*(s**(2\/7))**43 assuming s is positive.\nAnswer: s**(-19363\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-12 - (-153)\/34)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 7*j**3 - 39*j**2 + 24*j + 117. Give p(-4).\nAnswer: -1051","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 6) to base 10.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.174 - 1.2. Let c = g - -0.0259961. What is c rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -10. Suppose -3*o - x = -5*o + w, 4*x = 8. Solve 2*l = -o*z + l - 9, 17 = 3*z - 4*l for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 452*7.\nAnswer: 3164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4442361 a multiple of 231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 14*b - 4. Suppose -12 = -3*v, -2*i - 6 = -i - 5*v. What is j(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**2 - 2313*j - 4 + 2305*j + 4 - 2. Let y(c) = 2*c**2 + 7*c + 2. Determine 4*f(s) + 5*y(s).\nAnswer: 2*s**2 + 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -326, -1\/12, 16.2?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18*(-9)\/(-324) - 254\/492)*9.\nAnswer: -6\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1046 - 1026 = 4*j. Let o(h) = -4*h - 8*h + 7*h - 12 - j + 4*h. Calculate o(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + i + 1. Suppose 9 = -3*b - 6*b. Let o(h) = 7*h**3 + 5*h**2 + 7*h + 6. Let p(n) = b*o(n) + 6*c(n). Determine p(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -170857 (b) 3\/2 (c) 744\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**2 + 2*v**2 + 0*v**2 + 2*v**2 + 2 - 2 + 2*v**2 - v**2 - 3*v**2 + (-2 + 0 + 3)*(-2*v**2 + 2*v**2 - v**2) - 117*v + 265*v**2 + 117*v.\nAnswer: 262*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -50*m - 6972 + 6622 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**2 - 7*d - 1. Let m(y) = 5539*y**2 - 14*y + 4941. Let n(c) = m(c) - 2*z(c). Find the first derivative of n(s) wrt s.\nAnswer: 11066*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(-2\/7)))**(4\/15)\/(g**(-2\/9)\/g**3) assuming g is positive.\nAnswer: g**(1039\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r - 134*w + 115*w + 335 = 0, 2*r - 3*w = -35 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 7\/3*u**3 - 4*u**2 - 3*u + 1\/4*u**4 + 2. Let y be x(-8). Put 3, y, 1 in descending order.\nAnswer: 3, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 285 - 203. What are the prime factors of i*(-5)\/(-4) + (-10)\/(-20)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(-1\/10))\/((s**(-7)*s*s)\/s))\/(s**7\/(s**6*s)))\/((s**3)**(-3\/13))**(2\/7) assuming s is positive.\nAnswer: s**(6641\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7198522?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u - 81 + 33 + 29 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r + 10. Let g be d(6). Suppose v + 4 = g*z, 20 = -5*v - z + 4*z. Suppose -4*y - y + 15 = 0. What is the nearest to 1 in v, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*c + 1176610 = -46*c + 29*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(21)\/(sqrt(112) + (sqrt(112)*-1 - sqrt(112) - sqrt(112)) + sqrt(112))*-1 - (-2 + 3 + sqrt(243)*-2 + sqrt(243))**2)*-1.\nAnswer: -73*sqrt(3)\/4 + 244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -2*g - g. Suppose 1 = -2*w + 9. Suppose -w*x = -t + g, -4*x = 9 + 3. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/(((o**(10\/7)\/o)\/o)\/o*o))*o*o**18 assuming o is positive.\nAnswer: o**(129\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 463 + -457. Suppose -24*b + 20*b + 4*o = -4, -2*o + k = 0. Calculate the highest common factor of 100 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*g + 52*g - 1746*g**3 + 6240*g**3 + 75*g.\nAnswer: 4494*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 49*p + 171. Let n be z(45). Put 53, n, 3 in ascending order.\nAnswer: n, 3, 53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 688*m + 7501. Determine j(-11).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14045 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - f - 3. Let h be b(-2). Suppose 7*p = -h + 297. Let s = 86 - p. Calculate the remainder when s is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.47 - 0.03. What is the third biggest value in 1, z, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**5\/3 + 20*v**4\/3 - 16*v**3\/3 - 128*v**2\/3 = 0.\nAnswer: -2, 0, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1674937184?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.4 + 13. Let s be 215\/(-340) + (-6)\/(-8). Which is the nearest to r? (a) 2 (b) -2\/21 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 11, b: 1, h: 6, x: 1}. Give prob of picking 2 g.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 - 0.3. Let p = -0.4 - m. Which is the nearest to -2\/5? (a) p (b) 2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + z - z)*(-2*z + 0*z + 0*z) + (8 + 1 + 1)*(z + 2 + 18*z**2 - 17*z**2 + 6*z**2).\nAnswer: 66*z**2 + 10*z + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*y + 14. Let r(w) = w**3 + 21*w**2 - 2*w - 38. Let q be r(-21). List the prime factors of (59 - (1 - q))\/(2\/y).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 5*a + 4 + 8, 0 = -4*s + 16. Let x be 0 - a\/(-1 + 4). Suppose -2*l + 2*c = 7*c + 17, l + c + 1 = 0. Solve x = -2*y - 0 + l for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -251 divided by -3.\nAnswer: 251\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(-22) + 167\/11.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 830?\nAnswer: -831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1))**(27\/4)\/(k*k\/(k\/((k\/k**3)\/k))*k\/k**(-2)*k) assuming k is positive.\nAnswer: k**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 0\/12)*(-4)\/(-6). Which is the nearest to 5? (a) 2 (b) 0 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1530 and 1620.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 3*l - 4*t, t = 5*l + 2*t - 29 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*r - 116 = -4*z, 0 = 4*z + 3*r - 120. Let m = -17 + z. Suppose -3*w - 15 = -5*s, -3*s + 5*w = -8*s - 25. Solve -m = -5*o - s for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/4727034 and -35\/25998687?\nAnswer: 51997374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 255 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(5 + 40\/24 + -7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/9*93\/2. Let x = -37 - l. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2328*b + 211*b**2 + 2328*b)*(2*b - 4*b + 5*b) + 2*b**3 - 5*b**3 + 2*b**3.\nAnswer: 632*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68111*b - 2 + 2.\nAnswer: 68111*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 10*p**3 + 6*p**3 - 24*p**3 + 10 + 7*p**3 - 5*p - 5*p**2. Let j = 21 - 30. Is q(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/57 and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 43518398 divided by 2290442?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -166828*k + 11344.\nAnswer: -166828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a**2 + 953*a + 7620. Determine c(246).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12658164 by 110.\nAnswer: -6329082\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 39682.1 rounded to the nearest one thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 12 - 3, -3*r - 341 = -5*o. Suppose 0 = -v - v + o. Calculate the highest common divisor of 5 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/(sqrt(1210) - sqrt(1210)*-2).\nAnswer: sqrt(13)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 4:14 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2954 - -2990) + (0 - -27) - (0 - 3).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1207*t = 4578*t + 789*t - 913786 for t.\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3 - 62532*h**2 + 6046590*h + 6109124.\nAnswer: 2*(h - 31169)*(h - 98)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6*4\/96)\/(1\/8). What is the second smallest value in 40, 4, t, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 100 + -92. Suppose -8*k + 4*k = -i, -5*b - 3*k = -31. Let h = 2 + 0. Calculate the least common multiple of b and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of j**5\/90 - j**4\/36 - 2*j**3\/9 - 11*j**2\/2 + 9. Let m(o) be the second derivative of c(o). Find a, given that m(a) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -193 from -110.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 797494 to the nearest integer?\nAnswer: 893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -174 - -179. Which is the fourth smallest value? (a) -0.6 (b) 0.1 (c) -3 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/190 and -179\/570?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.02 (b) 2\/273 (c) -4\/9 (d) -2\/3 (e) -0.6 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-2 + sqrt(7))*-1 + (sqrt(7) - (4 + sqrt(252) + sqrt(252))))**2.\nAnswer: -72*sqrt(7) + 1017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11751513 divided by 273291.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**5\/7 + 422*y**4\/7 - 9844*y**3\/7 - 23032*y**2\/7 + 39344*y\/7 + 85376\/7 = 0.\nAnswer: -232, -2, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**4 + 3*c - 3*c + (6*c**3 - 3*c**3 - c**3)*(-6*c + 3*c + 2*c) + (c - 3 + 3)*(c**3 - c**3 - c**3).\nAnswer: -5*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 598 = d - 3*z, -614 = -5*d - z. Suppose 504 = -4*i + 10*m, m - 207 - 37 = 2*i. Let s = d + i. What is the highest common factor of s and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, 360, -65, -4, 4 in descending order.\nAnswer: 360, 40, 4, -4, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 6*g**2 - 70*g - 8. Suppose -25*t = -17*t - 48. Let b be a(t). Suppose 3*z = 2 + 1. Sort b, 63, z in decreasing order.\nAnswer: 63, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(28) - (sqrt(700))**2*-1) + sqrt(28) + sqrt(35)\/(sqrt(40)\/(sqrt(8)*-3)))*-2.\nAnswer: -1397 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 12:34 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**3 - 2*z + 3 + 2*z**3 - 4 + (-12*z + 12*z - 5*z)*(-2*z**2 - 3*z + 3*z) + (-4*z**3 - 8 + 8)*(-4 + 0 + 0).\nAnswer: 29*z**3 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1463 + -1441. Solve -65*a = -76*a - u for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 144.173 - 144. Let u = c + -0.17381. What is u rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 4)*(-32*j**2 + 27*j**2 + 94*j**2).\nAnswer: -178*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2000*b**2*v + 269088096*b**2 + 21752*b*v wrt v.\nAnswer: -2000*b**2 + 21752*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2634?\nAnswer: 2, 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -11*o + 16. Let a(l) = -l + l - l**o + 1 - 11*l - 4*l**2 - 3*l**2. What is the tens digit of a(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 4*s**2 - s - 6. What is g(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 1. Let w(y) = -y. Calculate -3*c(h) + 2*w(h).\nAnswer: -2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15419 is divided by 257?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**3 - 10*q**2 - 8*q - 1. Let w be r(-6). Let z = w - 119. Solve 2*l - 19 = 5*t - 1, z = -l + 3*t + 11 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 3*r + 86 - 8, -r = -3*z + 72. Suppose 5 = -5*j, -4*p - 8 = 5*j - z. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 2*d**3\/3 + d**2\/2 + 2*d - 111. Let v(k) = 6*k**2 + 3*k + 6. Determine -7*r(i) + 2*v(i).\nAnswer: -2*i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13970911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*l + 22. Suppose -4*a - 28 = 2*i - 7*i, 3*a + 21 = 2*i. Let n = l - a. Solve 7*m - 2*m = n for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220 = -2150*t + 2194*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 + -7 + 18 + (-7 - -8) + (16 - 4)?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 3*n - 9\/2*n**2 - 3\/2*n**3.\nAnswer: -3*n*(n + 1)*(n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/211 - 219\/844. Which is the third smallest value? (a) -3\/38 (b) u (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-1)*4\/16\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -16, 3, 6\/11, 0.5, -5, 1745\/3, -4\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -780.032640379149 - -4\nAnswer: -776.032640379149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t + 180. Calculate h(7).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -233113110 (base 4) in base 15?\nAnswer: -3c739","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + -62863067.\nAnswer: -62863067.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 736978261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (804\/(-18))\/((-20)\/18). Let y = 1563\/40 - x. Find the common denominator of y and -23\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 2*v**2 + 4. Let h be m(3). Let a(u) = -u**2 - 5*u + 1. What is the units digit of a(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*z - 8*z + 2*z)*(-3 + 2 - 1) - 36*z - 27 + 13 + 16.\nAnswer: -48*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 30 = -79*p + 76*p, 5*p = -3*k + 42. Let d(r) be the first derivative of r**3\/3 + r**2 - r + 2. Let v be d(1). Solve p - v = -2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 46 and -382?\nAnswer: -17572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14625 and 3900?\nAnswer: 58500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -64803717 - -0.04.\nAnswer: -64803716.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -877317\/2 - -110980490\/253. Let q = 5\/46 - r. Let j be ((-2)\/(-6))\/(4\/(-6)). What is the closest to -2\/3 in q, 2\/7, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 834, 818, 776, 696, 566?\nAnswer: 374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.07 + -7.17. Sort -2, s, 0, -4 in decreasing order.\nAnswer: 0, s, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + 130 = 17*o. Solve 0*f = -4*f + 5*q - o, 2*f - 4*q = -14 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3281294897 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9491170, 18982339, 28473504, 37964665, 47455822, 56946975, 66438124?\nAnswer: 75929269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**2\/2 + 3168*j + 5018112 = 0. What is j?\nAnswer: -3168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 68 - 14. Let l = -3332 - -3703. Suppose -a*d + 53*d + l = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -314586 >= -15414730\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12138.4g in milligrams?\nAnswer: 12138400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(4\/7)\/(z**(-5)*z))**(-34)\/((z**(-2\/5))**(-1\/26)*(z**(-1\/4)*z)**(1\/36)) assuming z is positive.\nAnswer: z**(-3395351\/21840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + 0. Let d = k - 5.1. Let y be 6\/(-30) + 0 + 1. Which is the closest to -1? (a) 4 (b) d (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 + -48 + 56 - -19.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -704 and -2?\nAnswer: 1408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 11*b + 5. Let q be k(11). What is the second derivative of -q*u**5 + u + u - 3*u wrt u?\nAnswer: -100*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 1969 = -x, 3*x - 3046 = -5*p - 589. Suppose 0 = -5*a + p + 23. What are the prime factors of a?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 924*g - 366*g = -494*g + 106252 for g.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-99*p - 19 + 18 - 11*p)*(-p + 4*p - 5*p).\nAnswer: 220*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 46?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1133740768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + -16. Let o = 6 - v. Let s = 1 - o. Calculate the remainder when 21 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/22, 0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4800, -4954, -5074, -5148, -5164, -5110, -4974, -4744?\nAnswer: -4408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1370.56 - 652.07. What is s rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**3 - 4*c**2 - 1. Let z be j(3). Let q = z + -1. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 531912?\nAnswer: -531912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2064\/(-1260) + (-5)\/(-3). Let m(n) be the second derivative of 1\/105*n**6 + r*n**5 - 2*n + 0 + 0*n**3 + 0*n**2 + 1\/42*n**4. Let m(o) = 0. What is o?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4830)\/45)\/23*(120\/(-14))\/2\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of -1\/2*w**3 + 1\/6*w**4 + 0 + 6*w**2 + 0*w. Let z(b) = -1 + 3*b + 0*b - 1. Determine -4*o(f) + 6*z(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-one halves of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -116 - -181. Let x = 13 - d. Let k = x + 52.00105. Round k to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 6, 1\/5, 2, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -v**3 - 166*v**2 + 61*v + 1 wrt v.\nAnswer: -6*v - 332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**2 - 60*j + 11. Let z(d) = d**2 - 30*d + 5. Determine 3*i(m) - 7*z(m).\nAnswer: 2*m**2 + 30*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75384?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2850?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91, 186, 281, 376?\nAnswer: 471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2099 = -901*j - 30606 - 44781 for j.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1315?\nAnswer: 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 19 (b) 1206 (c) 3 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 9*k**5\/5 + 7*k**2 - 11. What is the second derivative of q(i) wrt i?\nAnswer: 108*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5008656749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2 + 7*m + 21. What is the hundreds digit of i(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-4)\/(-20)*(-140)\/196.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lrr when three letters picked without replacement from rrlrrll?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g + 4*g + 0*g)*(g - g - g**2) - 11*g**3 + 15*g**3 - 3*g**3 to p + u*g**3 + z*g**2 + c*g and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*m**5 + 4*m**4 - 938724*m**3 - 334667898*m wrt m.\nAnswer: 560*m**3 + 48*m**2 - 5632344*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q - 2. Calculate m(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1455 divided by -485?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.5 + -9?\nAnswer: -58.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does -1527 = -2392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31*k**2 + 6*k**2 + 3*k**2 + 149 - 19*k**2 + (1 - 1 + 2*k)*(-3*k + 2 - 2).\nAnswer: -47*k**2 + 149","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/4 of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/85513 + 85505\/342052. Which is the second biggest value? (a) 0.12 (b) 87 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8495168, -16990338, -25485508?\nAnswer: -33980678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 914345 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000016716953 rounded to 7 decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9765*m - 45402 = -10846*m for m.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2666559 - -5.\nAnswer: -2666554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 12:24 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.023*-1.89\nAnswer: -0.04347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7022 + -2407. Sort 1, p, -2 in increasing order.\nAnswer: -2, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 11*y**3 + 5*y + 16. Let s(i) = -4*i**3 - 2*i - 5. Determine 7*s(q) + 2*x(q).\nAnswer: -6*q**3 - 4*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-69)\/(-6) - 4)*304\/5. Suppose 5*p - 54 = s. Is 17 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (234\/36 - 6)*-110?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 + 16 - b - 15*b**3 - 31 as y*b + u*b**2 + f*b**3 + t and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4577 + 116258 = 0. Suppose 23833 = v - s. Round v to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.22062291 rounded to 0 decimal places?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(4 + -1*((4*(1 + sqrt(171)) - (-1 + 0 + sqrt(171))) + -1)) + -4 + -4)**2.\nAnswer: 576*sqrt(19) + 24688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1116 divide 883439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/5 - 3*q**3 - 37*q**2\/5 + 123*q\/5 - 14.\nAnswer: -(q - 1)**2*(q + 7)*(q + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 6 = 18. Suppose h = u - 0. Let i = 5 + -1. Solve -5 = -i*t + 2*p - h, 0 = -2*t - 3*p - 3 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*v - 25244 + 17527 = 80943. What is the thousands digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 4:00 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0*r = -4*r - 8, 32 = q + 5*r. Let a be q\/((-352)\/(-174) - 2). Let i = -297 + a. Round i to the nearest ten.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -7\/3, -2.22, 0.4 in ascending order.\nAnswer: -7\/3, -2.22, 0.4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -0.4, -126, -1\/2, -33\/8, -0.03?\nAnswer: -33\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3328*y**4 - y**2 + y + 13153.\nAnswer: -13312*y**3 - 2*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15 and -0.207?\nAnswer: 3.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 3*w + 29 = 0, -c - 2196*w + 2192*w - 4 = -41 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 657*t**2 + 6*t + 4. Let s be n(6). Suppose -g + 5927 = 3*k, 0*g = 4*g + 4*k - s. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14.07 + -14. Let v = -163.1 + 163. What is the closest to l in v, 1\/5, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 627?\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -120 + -16. Let q = 196 + v. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133264?\nAnswer: 2, 8329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 481603 is divided by 3163?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 136 = -32. Is j a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1170978 and 15?\nAnswer: 5854890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**3 - 30*f**2 - 37*f - 129. Calculate w(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 3:11 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2 - w**2 + 3*w + 0*w + 0*w**2 + 2*w. Let j be q(3). Solve -5*b = -j*b - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**4 - 8046*x**3 + 5394843*x**2.\nAnswer: 3*x**2*(x - 1341)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(87 - 75 + 68)*(126*n - 126*n + 14*n**5).\nAnswer: -2240*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3755 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 638 and 116326192?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2285 and 2285?\nAnswer: 2285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1813 and 1326283.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*c**5 + c**4 - 30*c**3 + 1306*c**2 wrt c.\nAnswer: 480*c**2 + 24*c - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5637 + -57197?\nAnswer: -57194.4363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22070 - 2716 = -27*z. Let n = z + -546. Is n a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 6*p**2 - p - 1. Let t(s) = -17*s**2 - 294*s + 3. Give 3*k(h) + t(h).\nAnswer: h**2 - 297*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42.4 + 40.4. Which is the nearest to 0? (a) 0.5 (b) 4 (c) 2\/9 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -1\/6 (c) 0.5 (d) -3\/7541 (e) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -53 (b) 5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -693*o**4*y**3 + 7653*o**4*y**2 - 231*o**2 + 13*o*y**3 - 937*y wrt o.\nAnswer: -16632*o*y**3 + 183672*o*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11001001101111101001000 (base 2) to base 11.\nAnswer: -3805842","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2301 (base 5) to base 6.\nAnswer: -1302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**3 - 4*g**3 + 0*g**3)*(-3*g + 3*g - 2*g + (-37 + 114 - 24)*(1 + g - 1)).\nAnswer: -102*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 340.8189 hours in milliseconds?\nAnswer: 1226948040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -88560795.4 rounded to the nearest 1000000?\nAnswer: -89000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -264, -2\/7, -5, 1 in descending order.\nAnswer: 1, -2\/7, -0.4, -5, -264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*u + u. Put u, 0, -5 in increasing order.\nAnswer: -5, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 1189*x + 306349. What is l(377)?\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 - 15 + 2*g**2 - 7.\nAnswer: 2*g**2 - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -70 - -74. Suppose 0 = -2*k - 4*p, -i*p = -p + 3. Solve -y + k = 6 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1925*q + 6*q**3 - 1922*q + 3401 + 3848*q - 7*q**3 as y*q**2 + h*q + d*q**3 + b and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -148*o. Let v(d) = 149*d**2 + 544. What is c(v(a))?\nAnswer: -22052*a**2 - 80512","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -532130, -532146, -532162?\nAnswer: -532178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r + 70 = -6*r + 25*r. Let b(f) be the first derivative of 1\/2*f**2 - r + 0*f. Let n(a) = 54*a**2. Calculate b(n(x)).\nAnswer: 54*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 4. Let n(z) be the first derivative of z**3\/3 - 4*z - 1. Let g be n(y). Solve -14 = h - 2*r - 2*r, -2*h + g*r - 16 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 - 68*n**2 + 260*n - 256.\nAnswer: (n - 64)*(n - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 340 = -0*k. Let g = -8 - k. Suppose 5*q = -l - 15 + g, 0 = 2*q - 8. What is the greatest common divisor of l and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 16 = 5*s + 4*k, -4*s + 4*k + 40 = 0. Let j(v) = s*v - 7*v - v + v. Let f(p) = p**2 - 2*p. Determine -3*f(u) - 6*j(u).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 86.15.\nAnswer: 86.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7426637788 minus 0.2?\nAnswer: 7426637787.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5984?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*f = 2030*f - 75*f - 167040 for f.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4030\/290 - (-86 + 100).\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 28, -67, 0.157, -3?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(39)\/sqrt(3) - sqrt(13))*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12588387 or 12588385?\nAnswer: 12588385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2877 (base 10) in base 15?\nAnswer: -cbc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*j + 70 = -37*j. Which is the nearest to 2\/9? (a) j (b) 0.1 (c) -0.2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221818 plus -0.13?\nAnswer: 221817.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2946 + 2085. Let p = f - -1323. List the prime factors of p.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -5*n**3 - 4*n**2 - 2*n + 3. Let c(h) = -h - 3*h**2 + 2 - 5*h**3 + 7*h**3 - h**3 - 5*h**3. What is 3*c(j) - 2*x(j)?\nAnswer: -2*j**3 - j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -68*3\/42 + 5. Let n = 8.6 + -8. What is the nearest to n in 0.4, 0.1, q?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 14. Suppose -2*l + d*l - 24 = 0. Is 5 a factor of 17\/3 - l\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*p + 12*p + 8*p)*(-4 + 4 + 6*p)*(-3 + 2 + 3).\nAnswer: 540*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4243\/16 - 265. Is d bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a gram in milligrams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-4 - (-14 - (20 - 13))).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 5*t. Let q(b) = -6*b**2 - 5. Let g(d) be the second derivative of 7*d**4\/12 + 3*d**2 - 5*d. Let c(h) = -5*g(h) - 6*q(h). What is i(c(n))?\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 33 = -27. Suppose 2*p + 4*b = -w, -2*b - 26 = -4*p - 0*b. Solve p = 2*s + 14 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 6. Let o(h) = -213 - 2*h**2 + 213 - 6*h + 10*h. Determine o(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -0 + 4. Does 5 divide (20\/(-4) + 9)\/(n\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (11\/7 - 2) + ((-2700)\/(-126) - 14). Solve 53*b - 46*b - c = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 - 2*a**5 - 3*a**2)*(-56 - 34 + 23) - 2*a**2 + 2*a**5 + 2*a**2 + a - a - 2*a**5 + 2*a**3 - 2*a**5 - 2*a**3.\nAnswer: 132*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -25*l - 51. Is 9 a factor of a(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y + 15*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1340 and 2747?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*(-7)\/14 - -4. Let i(b) = -444*b**q + 220*b**2 + 225*b**2. Let x(g) = g**2. Calculate i(x(z)).\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.3 - -1. Suppose 19*c - 6*c = 624. Let s be ((-27)\/36)\/((-198)\/c). Put w, s, 4 in descending order.\nAnswer: 4, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 8. Let u be -2 + (-3)\/(-30) + 2. Let o = -1\/15 - u. Which is greater: o or b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from yjyjzzyzzzzzy.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 5*o + 26 - 0, -2*y + 2*o + 44 = 0. Let b = 35 - y. Suppose -26*w + 12*w + 84 = 0. What is the smallest common multiple of w and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 904765890 rounded to the nearest 1000000?\nAnswer: 905000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 - 115 - 114509*k**3 + 114508*k**3.\nAnswer: -k**3 - 164","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -6, -29 = -3*a - 5*c + 7. Calculate the remainder when 56 is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**2\/2 - 9*r + 27\/2 = 0. Calculate r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12206949269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 24*y - 251. Let c be h(18). Let t = c + 490. What are the prime factors of t?\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*w**2 + 2 - 3 + 532*w - 532*w)*(13*w**2 - 13*w**2 + 22*w**2).\nAnswer: -352*w**4 - 22*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 58*r - 9. Suppose 2 = 4*n - 14. Is i(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 0*r + 2\/9*r**2 + 2\/9*r**3 + 0 - 2\/9*r**5 - 2\/9*r**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a**2 - 5049*a + 552350. Calculate f(121).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53 and 28037.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -112222123?\nAnswer: -112222122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -13797, -12038, -10279?\n\"Answer: 1759*w - 15556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 96528341 to the power of 1\/4, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/22*43*(-142)\/71.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1122351 and 3.3.\nAnswer: 3703758.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1002 + -400. Suppose 0 = 3*d - d - z. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k. Let r(p) = -4*p + 4*p + p**2 + p. Let l(z) = -2*o(z) + 6*r(z). Let v(w) = w**2. Determine v(l(b)).\nAnswer: 36*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7, -5, 2, -7, 2448.\nAnswer: -7, -5, 2, 4, 7, 2448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15a98 - -75?\nAnswer: 16062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000131049 rounded to five decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - -12. Let k be 4\/r - 20\/9. Let s = k + 10. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 7. Which is the third biggest value? (a) 3 (b) -4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2578763377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -14\/219, 3, -1.2 in decreasing order.\nAnswer: 3, -14\/219, -2\/7, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1124387 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7954 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-8 - (-10 - -1)) - -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffff. Give prob of picking 3 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*o = -85*o + 182. Solve 9 = -3*z + 2*p, -3*p + o + 2 = -5*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -4. What is the second derivative of -40*u**4 + 4*u**y - 3*u + 40*u**4 wrt u?\nAnswer: 80*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/21753 and 113\/4012220?\nAnswer: 36109980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 3*t - 42. Let c be u(8). Are -4 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3322251729.\nAnswer: 3, 47, 7854023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(24)*-2 + sqrt(24))\/sqrt(8).\nAnswer: 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 194773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(12\/81*39\/(-26))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 - 2030.\nAnswer: -1976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 16*x + 488. Let f be p(-30). Let j(g) be the second derivative of -g**2 + 0 - f*g - 1\/3*g**3. What is j(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*q - 0. Let j(k) = 3 - 3 + 7 - 21*k. Let w be j(q). What is the highest common factor of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(-2 - (1 + -4)). Suppose 37 = 5*q - 2*m + 4*m, 5*m = 3*q - 16. Let k = 7 - q. Solve t + s = -k*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -328, 0.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 15) to base 4.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5679*c**2 - 4717*c**2 - 5871*c**2 + 16265*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + -2)*(3 - -2). Suppose -4*x + 88 = -5*n + n, -i*x = n - 122. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40589 is divided by 86.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -11*m - 1. Let p = 2836 + -1111. Let j(i) = -3*i - p + 1725. Give b(j(s)).\nAnswer: 33*s - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v**(-10)*v)\/v)*(((v**(-3\/13)*v*v)\/v)\/v)\/v)**14 assuming v is positive.\nAnswer: v**(1778\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i + 4. Let y be t(-5). Let p = 0.016 + 0.044. Is p at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 656 = k - 25217, 5*k = -2*j + 17266. What is the first derivative of -i - j*i**3 + 8669*i**3 + 23 + i wrt i?\nAnswer: 138*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-976 + 0)*4 + 197499\/23607.\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*u = 108*u + 3*k - 22, 2*u - 3*u + 53*k + 444 + 86 = -34*k for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1912 divided by -3902.\nAnswer: -956\/1951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f = 47*f - 16980. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 2073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/55)\/(8\/5)*-4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 561164897 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -x**11\/1164240 - x**10\/264600 - x**9\/211680 + x**5\/60 + 2*x**2. Let t(w) be the third derivative of i(w). Factor t(k).\nAnswer: -2*k**3*(k + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 336*l + 49. Let k(p) = -14*p - 2. What is 49*k(q) + 2*t(q)?\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6711869 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.3 - 4.3. Which is the closest to n? (a) 0 (b) -0.07 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 57 = 9*z, o + z + 9 = 3*z. Let u(b) be the second derivative of 0*b**2 + 0 - 11*b - 1\/3*b**o. Let j(m) = -18*m. What is u(j(s))?\nAnswer: 36*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h = -7*h + 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1375\/20*10776\/(-9878).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44704, -178882, -402542, -715684?\nAnswer: -1118308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3493.4 + 3493. What is the closest to 0 in -4, -2\/3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 324*w**3 + 17*w**2 - 11*w. Let p(z) = 65*z**3 + 3*z**2 - 2*z. Calculate -4*c(j) + 22*p(j).\nAnswer: 134*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1010001110001 (base 2) to base 11\nAnswer: 3a28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -158*i**6 + 2*i**4 + 14*i**2 + 1.\nAnswer: -18960*i**3 + 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of q**4\/12 + 7*q**3\/3 + 51*q**2\/2 - 24*q. Let k(u) = -2*u**2 - 28*u - 103. Let w(v) = -2*k(v) - 5*p(v). Factor w(f).\nAnswer: -(f + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 0*g = -280. Suppose -6*z + z + g = 0. Suppose -b = -3*b + 5*s + 15, 5*b - 2*s - 27 = 0. Solve -3*r - z = -b for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -435186a - a?\nAnswer: -4351879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 1\/2 (c) 2\/7 (d) -40 (e) -4 (f) 1.8 (g) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2260095 is divided by 111?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 340*z**2 - 10*z + 49. Let f(v) = -508*v**2 + 14*v - 72. What is 5*f(h) + 7*n(h)?\nAnswer: -160*h**2 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 213821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000017 to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.10288, -3, 11, -1, 2\/15, -2, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 566\/225 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (x - x + 2*x)*(-1 + 6 - 3)*(-152 - 119 + 218 + x)*(-x**2 + 2*x**2 + 0*x**2) in the form n + r*x**2 + c*x**4 + s*x**3 + t*x and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -301190, -602488, -903786, -1205084?\nAnswer: -1506382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7689*n + 7691*n = -2*r - 18, -2 = 2*r + 4 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 1\/66 (c) 3 (d) 26 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2002 - 142?\nAnswer: -2144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -53*g + 427. Let n be f(8). Solve 0 = -2*c - 5*m - 14, n*m = -0*c - 3*c - 12 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 660 + -394. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j + 6*j - 5*j. Let p(v) be the second derivative of -v**3\/6 + 2*v. Let i(u) = -2*a(u) - 7*p(u). Let g(r) = 2*r. Give g(i(z)).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 16*k - 58, -4*k = -25*u + 30*u - 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -9*o + 47. Let n be p(5). Let r(u) = 15 - 125*u**n + 126*u**2 - 3*u - 4 + 13*u. Determine r(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*u**3 + 24*u**3 - 23*u**3.\nAnswer: 13*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 159*y**5\/5 + 24*y - 639. Find the first derivative of j(h) wrt h.\nAnswer: 636*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, l: 4}. Give prob of sequence al.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2) - 63280998\/(-4). Suppose -o + 5*o + y = 5*s, 5*s - 15820295 = -5*o. Let i = s + -764054. What is i rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 367*u. Let z(y) = 920*y**2. Give b(z(k)).\nAnswer: 337640*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50690 and 170570.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t - 3*t + 5*t)*(-6*t - 5*t + 5*t) + 0*t**2 - t**2 - t**2.\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -3)*-1*-7. Let s(p) = 3*p**2 + p. Let y = 4 + -3. Let d be s(y). Solve -d*z = n + 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, 13, 2\/7, -0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -245767, -246188, -246609?\nAnswer: -247030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 7*y + 6. Let v(k) = -k - 1. Let x(a) = -m(a) - 6*v(a). Suppose -3*o = -4*o. Suppose 4*n - 2*n + 4*p - 20 = o, -p - 5 = -2*n. Calculate x(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + b + 4 = 0. Let v(h) = 5*h**2 + 3*h. Let c(q) = q**2 - q. Let k(l) = b*v(l) - 3*c(l). Let o(t) = -t. What is o(k(p))?\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -31*t - 47. Let a(w) = -1. Let s(y) = 3*a(y) + u(y). What is the first derivative of s(f) wrt f?\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1428)\/594 + 2 + -10*6\/(-270).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 171 + -126. What is the highest common factor of 75 and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7641?\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-37)\/111)\/(3\/(-9)). Which is greater: p or 66\/35?\nAnswer: 66\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 1:30 AM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 64, 57, 48, 37, 24, 9?\n\"Answer: -a**2 - 4*a + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 - (11 - (-3 + -5 + (53 - (24 + -3))))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2094\/3490 - (1 - 192594\/10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.22835*376\nAnswer: 2717.8596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*x**3 - x + 0*x - 3*x.\nAnswer: 11*x**3 - 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -191\/3 - -63. Let n = -4\/17 + 25\/34. What is the nearest to i in n, -0.4, 0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x - 6*x + 4*w - 19, 4*w - 22 = -2*x. Find the second derivative of -32*q**x - 6*q**3 - 1 - 4*q**2 + 8*q**3 + 4*q**2 - 45*q wrt q.\nAnswer: -180*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 3:27 PM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -2. Let q(f) = f**3 - 14*f**2 - 32*f + 21. What is the smallest common multiple of 2\/(8\/12) + i and q(16)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 1\/3, 3, -0.092, -4\/7?\nAnswer: -0.092","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41447656?\nAnswer: 2, 23, 89, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) -4 (c) -522648 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 + 19 - (-8 - -18)) + (0 - -17)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -71 + 68. Sort z, -5, 0.4 in decreasing order.\nAnswer: 0.4, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 * 1080799\nAnswer: 1296958.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(-3*b**2 + b**2 + 3*b**2) - 9*b**2 + 44*b**2 + 22*b**2 + (2*b - 2*b - b)*(-5 + 2 + 4)*(-b - 2 + 2).\nAnswer: 59*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 l when two letters picked without replacement from zpndplmdzlddzdlpz?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-3) - 104\/24. Sort u, -2, -3 in ascending order.\nAnswer: u, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-4))\/(6\/(-48)). Solve 4 = 3*v + y, -y - 6 = -m*v - 3*y for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -92*h**3 + 28*h**3 + 33*h**3 + 31*h**3 + 803*h**6 + 593*h**2 wrt h?\nAnswer: 96360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225*d + 323*d - 9522 + 1780 = 0 for d.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 35 + (1 - -5) + -4. Let i = y + -26. Solve 3*m = 4 + i for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/8 + -5 + 6?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u**2 - 4*u - 3. What is o(-6)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 12) to base 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -6*f**2 + 2*f - 3. Let w be c(2). Let n = 33 + w. Solve -4*s = s + n for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -4*z**4 - 8*z**3\/3 - 191*z**2 + 276. Find the second derivative of p(c) wrt c.\nAnswer: -96*c - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/8 and 99\/670?\nAnswer: 2680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + m**2 + m**4 - m**2 + 0*m**3 + m**3 in the form r*m**2 + u + d*m**3 + l*m + b*m**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136875.\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggdd when four letters picked without replacement from {d: 10, g: 9}.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (14 - (10 - (0 - (4 - 6))))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2195, -4394, -6595, -8798, -11003, -13210?\n\"Answer: -z**2 - 2196*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.107583 - -0.192417. Let k = 1.99 + -2. Let n = 4\/15 - 7\/15. Put k, n, i, 4 in increasing order.\nAnswer: n, k, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 9.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*d - 15*d + 1948. Let s = d + -343. Suppose -3*n = n - s. What is the highest common divisor of 90 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4}. What is prob of picking 3 l?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 926198.82ms?\nAnswer: 0.01071989375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2. Suppose l = 4 - 2. Let u(p) = 5*p**2 - 5*p**l + 9*p**2. What is u(z(n))?\nAnswer: 9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -12 - 37\/(-222)*502\/7\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 10*z + 172. Let b be n(-17). Sort b, 12, 3, 1 in descending order.\nAnswer: 12, 3, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16830223 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i + 128. Let k be m(-43). Let g(p) = -2*p**2 - p - 1. Let z = 1 + 2. Let c(n) = 2 + 2 - z. What is k*g(w) - 2*c(w)?\nAnswer: 2*w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/1180 and ((-473)\/(-1652) - 10\/35)\/((-7)\/434)?\nAnswer: 8260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 414*a**2 - 233*a**2 - 160*a**2.\nAnswer: 21*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 1244459?\nAnswer: -1244455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/15)\/(1\/(-2))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/3*(-1806)\/(-111671).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 102210002011222?\nAnswer: -102210002011210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in -2, -4, 17, 2, 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 192\/24 - (-2 + 10). Let q = -1 + 95. Suppose -4*z = m - 1, 2*z + o*z + q = 4*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 566248151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1697 divide 474498170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 68, 244, 534, 938?\n\"Answer: 57*t**2 + 5*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -b**3\/6 + 103*b. Let u(j) = -3*j + 3*j - 4*j**2. What is q(u(v))?\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 37242835819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 4*v - 15. Let b be v - (-2*1 - -2). Suppose 0 = -b*m + 6 + 3. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8503624 micrograms to tonnes.\nAnswer: 0.0000000000008503624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**3 + 42*m**2 + 4*m**5 - 42*m**2 + 4*m**5 - m**5 - m**5 + (2*m**4 + 0 + 0)*(1 - m - 1) + 13*m**5 + 0*m**5 - 5*m**5.\nAnswer: 12*m**5 + 3*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -143 + 147 + (1 - 10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47 + 10. Let z = 57.027 - l. Let k = z - 0.297. What is k rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24221?\nAnswer: 53, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44 (base 6) to base 7.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/231*-3)\/(24\/66)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, q: 5}. What is prob of picking 2 q?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 6:44 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(121) + -3*-5*sqrt(121))\/(sqrt(3564) - sqrt(11)).\nAnswer: 3 + 16*sqrt(11)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/1 + (7 - 3). Let p(m) = -5*m**2 + 9*m**2 - 3*m**d. Let o(t) = 3*t**2. Calculate p(o(z)).\nAnswer: 9*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from xpnynvcxy.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32560591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 9*j**2\/2 - 47*j + 26. What is the units digit of c(26)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -590 + 594. Suppose 6*h + 12 = 3*h. Which is the third biggest value? (a) h (b) s (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 20, -3*g = 6*a - 2*a - 132. Suppose l + 303 = 5*p + 122, -3*p + l + 109 = 0. Calculate the highest common factor of p and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 219, 878, 1991, 3570, 5627, 8174, 11223?\n\"Answer: 2*n**3 + 215*n**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 10633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 18 = h, -5*h + 2*y + 17 = -1. Suppose -5*c + 77 = h*c. What is the highest common factor of c and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 213 = 13*h - 5*r, -h + r = -1 - 26 for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o. Let s(l) = l**3 + 4*l**2 + 2*l. What is -2*p(y) + s(y)?\nAnswer: y**3 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 34195721*y**2. Let b(t) = -3*t**2. What is b(k(c))?\nAnswer: -3508042004129523*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 876169.\nAnswer: 7, 17881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -90*j**3 + 991*j**2 + 6*j - 169. Determine x(11).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3608.\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1292351 less than -1292410?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1003 - -1048. Suppose 73 = 9*l - 71. Calculate the remainder when z is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358 is divided by 156?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/1635 and 20\/11.\nAnswer: 17985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**3 - 756*r**2 - 1600802*r + 1601556 = 0.\nAnswer: -726, 1, 1103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*x + 1 + 23 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 433 + -430. Let i(v) = 5*v**3 + 14*v**3 + 2 + 11*v**3 - 32*v**f + 3*v + 2*v**2. What is i(3)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**2\/3 - 92*u\/3 = 0?\nAnswer: 0, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) -1\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/33 + 118\/102 and 4\/9?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 2*j, 4*u - 3 = 6*u - 3*j for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21 - 12 + 1)*(-3*y - 98 + 28 + 47) to q + t*y and give q.\nAnswer: 736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 4 + 16 + 144*z**2 + z.\nAnswer: 144*z**2 + z + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 36451?\nAnswer: 36444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2919*b**2 - 6359*b**2 - 1016*b**2.\nAnswer: -10294*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 16.7 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9706 and 3798.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12014?\nAnswer: 2, 6007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence etet when four letters picked without replacement from {e: 4, t: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47753 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 4*i + 20 = 0, 0 = 2*i + 3 + 7 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**3 + 7*z + 14. Let b(f) = -2*f**3 - 5*f - 9. Give 7*b(c) + 5*i(c).\nAnswer: c**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 23*h - 27*h. Factor -9*b + 2*b**3 - 8 - 6*b**3 - h*b + 23*b + 8*b**2.\nAnswer: -4*(b - 2)*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 4*g = 25, 3*s - g + 1 + 1 = 0. Calculate the least common multiple of 109 and s.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111101110 (base 2) to base 14\nAnswer: -274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 11. Let i be g(-11). Let k = 4 - -1. Suppose k*p + i*p = 20. Solve z = -z - p for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 4*b - 4. Let x(s) = 3*s**2 - 11*s + 11. Let c(g) = 8*q(g) + 3*x(g). Let l(z) = -z**2 + 4*z. Calculate 2*c(k) + l(k).\nAnswer: k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222265038.\nAnswer: 2, 3, 17, 353, 6173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1447 + 1477. Suppose 5*m + n - 29 = 0, -5*m + k = 4*n - 11. Let q = -0.2 - -0.6. Which is the third smallest value? (a) q (b) m (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**3 + 2*i - 11*i + 904 + 6*i + 3*i to u*i**3 + p*i + o*i**2 + w and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 714 - 714 - 214*o**2 + (-3*o + 7*o - 2*o)*(5*o - 4*o + o).\nAnswer: -210*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11384175952.4 + 0?\nAnswer: 11384175952.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 3:43 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -w, -2*w - 218636 = -4*i - 6*w. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -6*b + 4*b. Let m be (-2)\/b - (-12280)\/50. Let k = -123 + m. List the prime factors of k.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -322 + (1\/(-1) - -1). List the prime factors of 4*(l\/(-8))\/7.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.27*0.18\nAnswer: -0.2286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -a22 (base 11) in base 9?\nAnswer: -1621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -0.12, 2\/97, 0.5, 10, 1.\nAnswer: -1\/4, -0.12, 2\/97, 0.5, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77383419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 8*i**2 - 9*i + 1. Let x be q(9). Let z be (1 - -18998) + 0 + x. What is z rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p - 1. Let z be (-52)\/(-442) + 83\/17 + 197. Let q = -199 + z. Let w(b) be the first derivative of -3*b**2 + 2*b - 2. What is q*w(d) + 5*i(d)?\nAnswer: -3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -25*o + 89*o - o + 23*o. Let w(p) = -3*p + 8. Let x(r) = -r + 3. Let l(j) = -3*w(j) + 8*x(j). What is f(l(b))?\nAnswer: 86*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3 + (5*(sqrt(147) - (sqrt(147) + (sqrt(147) - (sqrt(147) + 0) - sqrt(147)))**2) + 3)*5.\nAnswer: 22 + 175*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96719 and 4305.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 2598.\nAnswer: -2598.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 291*q + 70*q = 16*q + 1035. Solve -5*w + 3*r = -2 - 7, -r - q = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57 (base 8) to base 13\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - 1. Let q(x) = -15*x**3 - 15*x**2 - 15. Determine q(g) - 15*w(g).\nAnswer: -15*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*j - 77*j - 84*j - 2*j)*(-4*j + 5*j - 3*j).\nAnswer: 342*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 - (-10 - (19 + -64 + 40 + (1 - -3)))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 535 = -119. Let l = w - 101. What is the second biggest value in 5, -11, l, -1\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/14*((-1096)\/(-66) - 204\/748).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + (-1 - (13 + 3)) + 4 + 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of 3*c**2 + 0*c**4 + 0*c + 0 + 0*c**3 - 2\/525*c**7 + 1\/300*c**6 + 0*c**5 + 1\/840*c**8. Factor f(k).\nAnswer: 2*k**3*(k - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -142, -134, -126, -118, -110, -102?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000844 to 5 decimal places.\nAnswer: -0.00084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 49? (a) -4\/7 (b) -0.5 (c) 44 (d) -54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1172 + 1204. Solve 2*c - 3*q = 15, -4*c - 5*q - f = -7 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -88 * -106.\nAnswer: 9328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 54, 0.1251?\nAnswer: 0.1251","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -0*t - 5*t - u, 0 = 2*t + 2*u + 14. Let m be (-2)\/t*-19*6. Let v = m + 40. Calculate the smallest common multiple of 7 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 17 + 9 - 105*m**4 + 33*m**3 + 2*m - 32*m**3 - 3*m**2 as v + f*m**4 + l*m**3 + u*m**2 + d*m and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -641, -1380, -2195, -3086?\n\"Answer: -38*v**2 - 625*v + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6585?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*m**6 - 97*m**3 + 94*m**3 + 514*m**6 - 1 + 3*m**4 + 77*m**2 - 3*m**4 wrt m.\nAnswer: 62400*m**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92463 divided by 262.\nAnswer: 92463\/262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - b = 4243, -14 = -4*b + 6. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + a = -u + 9, 0 = -2*u - 4*a + 12. Let s be u + (2 - ((-12)\/(-4) - -1)). Suppose -s*c = -r - 31, 0*c - 4*c + 5*r = -65. Does 2 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 8*y**2 - 2*y - 5. Is o(7) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.44433499 from -4.\nAnswer: -5.44433499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p - 129*p**2 + 19*p**2 - 2685 + 2687.\nAnswer: -110*p**2 + 8*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 108008 - -6989. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -2\/3*m + 10\/9*m**2 + 1\/3*m**4 - 8\/9*m**3 - 2\/45*m**5 + 13. Find q, given that b(q) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40*(31\/(-35) + -3*24\/(-252)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-14))\/(3\/6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96788726?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.56 + 0.74. Let q = c - 4.9. What is the closest to 1 in -3\/5, q, -0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/((-39)\/(-9)*(-993)\/8606)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/4252482 and 115\/333528.\nAnswer: 17009928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 28*g - 22*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(143) + -2*sqrt(143)) + sqrt(143) + -3*sqrt(143)*3)\/((-2*sqrt(44)\/sqrt(2))\/(-6*sqrt(8)))*4)**2.\nAnswer: 67392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 53*w**2 + w + 156. Calculate l(53).\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 11 + 1 + 24*o**2 - 3 - 9. Let q(j) = 3*j**2. Give q(a(w)).\nAnswer: 1728*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4617847\/5 at least as big as 923569?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3590703 a multiple of 876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 27\/45*45\/(-36)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -111 + 109. Let v = 59\/39 - 5\/3. Let x be ((-10)\/4)\/(2\/(-4)). Which is the third biggest value? (a) x (b) p (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1982 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -9, -32, -5, -15, -6 in descending order.\nAnswer: -2, -5, -6, -9, -15, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/7 (b) -2 (c) 3 (d) 4 (e) -66.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -227, -454, -681?\n\"Answer: -227*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -r**4\/12 + r**2\/2 + 4*r. Factor b(p).\nAnswer: -(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -330 bigger than -360?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 18. Let z be y(0). Suppose 63*k - 1008 = -3*k - 46*k. Calculate the highest common factor of k and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 5*y = -6 + 16, -5*y = 3*f + 10. Suppose a - t + 2*t = 3, t + 15 = 2*a. Solve 3*d - 3*h + 9 = f, -d + 4*h - a = 6 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 2. Suppose -3 = a + 3*g, a + g - h = 2. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3154039 is divided by 825.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/10)\/(129\/1204*44\/(-33))?\nAnswer: -49\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.03 - -0.49. Let x = -0.499 + m. Let v = x - -0.819. What is v rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -200293 (base 11) in base 4?\nAnswer: -1032232032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(15\/4)\/((f*f\/((f\/(f*f**(-14)))\/f)*f)\/f))\/(f**(1\/13)*f**18\/f))**(-42) assuming f is positive.\nAnswer: f**(2541\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4200.545 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 + -21. Let i(s) = -3*s**3 - 2*s**2 + 1. Let g be i(k). Put g, -3, -1 in ascending order.\nAnswer: g, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**4 - 156*r**3 + 1597*r**2 - 1482*r + 361 = 0. What is r?\nAnswer: 1\/2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjtjjtttwjijjijjiwt. Give prob of sequence jjti.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.571626 - 0.609. Round f to 4 decimal places.\nAnswer: -0.0374","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 7998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2869, -2847, -3055, -3493, -4161?\n\"Answer: -115*m**2 + 367*m - 3121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -8. Let q = t + 59. Calculate the remainder when q is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -84 and -62.\nAnswer: 5208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -318660 and -318659 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c + 16. Let s be n(10). Suppose -l - 15 = -s*l. Solve d - 4 = -0*d - l*a, -d + 5*a - 4 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddbdbyjyyyeeyrybyy. What is prob of picking 1 j, 2 e, and 1 d?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0 (b) 0.0292 (c) -1.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 4*t**5 - 400*t**4 + 12888*t**3 - 117632*t**2 - 541660*t + 646800 = 0.\nAnswer: -4, 1, 33, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -0*z + 4. Factor 7*q**2 + 2*q + 2*q**2 - z*q**2 + q**2.\nAnswer: 2*q*(3*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 d, and 2 b when four letters picked without replacement from {d: 9, x: 7, b: 2, m: 1}?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1453 divided by -738?\nAnswer: 1453\/738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5 = -1. Let n = -38.9 - -37.29. Let j = -0.39 + n. Put j, -5, h in increasing order.\nAnswer: -5, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22275 and 1061?\nAnswer: -23633775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 126447 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*1*sqrt(252) - sqrt(252)) + sqrt(252)*1*-3)\/(6*4*(sqrt(48)*-1)\/sqrt(12)) + -3.\nAnswer: -3 + 5*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 - 69 = -5*n. Let r = n - 26. Let i(l) = -2*l**2. Calculate i(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/39*((1 - 2) + 2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 412 + -416. What is the closest to -0.3 in -6\/11, g, -5?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.75 plus 162758323774?\nAnswer: 162758323773.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 80865918*p**4 - 78564490*p**2 - 1 wrt p?\nAnswer: 1940782032*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 738168 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: b\"What is the fth term of 621, -972, -6095, -16512, -33987, -60284, -97167, -146400?\n\"Answer: -294*f**3 - f**2 + 468*f + 448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -6*y - 1. Suppose 11 - 37 = -5*i + 4*s, 4*i = -4*s - 8. Let h(v) = -33*v**2 + 30*v**i + 4*v**2. Calculate h(z(r)).\nAnswer: 36*r**2 + 12*r + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26346433?\nAnswer: 307, 85819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/4)\/(15\/(-60)). Suppose -6*t + 45 = -t + 5*p, 4*t = 3*p + u. Suppose t*f - 73 = -65. Solve 0 = f*g + 6 + 4 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u - 7. Calculate w(-10).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 11:37 PM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.7 - 0.3. Suppose 0 = -2*w + w + 5. Let z = -166 - -165.9. Which is the nearest to 1\/3? (a) z (b) m (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165766 = -24*i - 0*i + 1767770. What is the thousands digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27 - -12 - -8) + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**3 + 20*m**2 + 137*m + 35. Is f(-21) a multiple of 175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.8 - 9.65\nAnswer: -7.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -5*b + 21, 0 = -5*b - i + 3*i + 33 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*1 + (-7)\/(-9). Let m = -1 + 1.4. Suppose 0 = -5*o - p, 0 = -2*o + 3*p - 0*p. Which is the closest to o? (a) -4 (b) m (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + sqrt(112) + 0 + sqrt(28))**2.\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*r**3 - 549*r**2 - 107*r + 3 wrt r?\nAnswer: -12*r - 1098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifteenth of a century?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -18*x - 1. Suppose 3*a - 50 = -u, 3*u - a + 292 = 8*u. Suppose 5*h + u = 19. Is b(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide 1469 by -2002.\nAnswer: -113\/154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 102233870 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 13 = -7. Let p(u) = u**2 + u + 2. Let w be p(-2). Suppose -c = -w*c - 6. What is the closest to 2\/3 in z, c, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 14 = 4*d, -2*l + 5*d - 15 = -6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 163515 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 53*g. Let k(d) = -2*d**2 - 4860 + 2*d**2 + 4860 + 2*d - 15*d**2. Give t(k(b)).\nAnswer: -795*b**2 + 106*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3797 - 2171. Suppose 6*r - t = 768. Do r and 399 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40 times 0.48\nAnswer: 19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.300283 months to years.\nAnswer: 1.19169025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4\/13, 4, 2\/7, 12\/5, -5?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -30236*k**3*r + 1383*k**3 - 3*k**2*r + 3088*k - 14*r + 1 wrt r?\nAnswer: -30236*k**3 - 3*k**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-3)*2\/(-2)*(-1629)\/5249.\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.381 - -5.\nAnswer: 4.619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20221031 (base 4) to base 14.\nAnswer: cc8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 95202 (base 16) to base 10\nAnswer: 610818","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a + 1. Suppose 5*g = 2*o + 38, 5*o = -5*g - 0 + 10. Let s(z) = z**2 - 3 - 2 + 1 + 2. Let i be s(3). Let d(b) = 2*b - 1. Determine g*d(m) + i*n(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -1.599\nAnswer: -0.401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7262 + -7255. Which is the nearest to 0.2? (a) z (b) -1 (c) -0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79973115721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-1)*2*-4. Let d = 2 + k. Suppose -2*c + 5*a = -5*c + 30, -a = 4*c - 57. What is the greatest common factor of c and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 3*c - 5*c)*(-7*c**2 + 0*c**2 - c + c**2).\nAnswer: 30*c**3 + 5*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*7 - (7 - 10). Let h(v) = -10 + j + 4*v - 3*v. Let o(z) = z**2 - z - 1. Let t(y) = -3*y**2 + 5*y + 5. Let x(k) = 10*o(k) + 2*t(k). Determine x(h(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -c + 6. Calculate the highest common factor of c and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -495378*0.01.\nAnswer: -4953.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 3*q**5 - 220 - 24*q**2 - 9*q - 18*q**3 + 220 = 0?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13974 + -13398. What is the remainder when 583 is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l + 10. Let i be f(5). What is the closest to 1 in i, -1\/9, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -246*n**3 + 3161 - 1588 - 1574.\nAnswer: -246*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 54, 452, 1534, 3642, 7118?\n\"Answer: 57*t**3 - t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 5)*(k - 4*k + 6*k)*(-5 + 9 + 4)*(-13 + 3*k + 13).\nAnswer: 72*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1817603 + 241633 = -55*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/(-18))\/((-6)\/4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, 4, 25, -7, 0.1?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59 - 52. Let f(m) = -7 - 2*m - 56*m**3 - x*m**2 + 27*m**3 + 28*m**3. Determine f(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -3\/2890 (c) -1.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/(-6) + 5)\/((-120)\/(-760)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.7, -336, 1.1, 2.\nAnswer: -336, 1.1, 2, 4.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -338.6 + 339. Suppose -34 - 30 = -4*n. Let q be n\/(-40) + 46\/(-10). Put y, q, 0.06 in ascending order.\nAnswer: q, 0.06, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 371102905\/9240 - (-1)\/3. Let x = -40163 + c. Let b = -35393\/1848 + x. Find the common denominator of b and 97\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -822 by -274.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1407*m + 220343 = -1707*m + 34330 - 162755 for m.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 9*b**2 + 6*b + 12. Let n be z(9). Let q = n + 23. Let l = q - 34. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/(-4) + (1 - (-16)\/32).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 52\/14 - 4\/(-14). Let c be i\/8 + (-1)\/(-2). Put -7, 0, c in increasing order.\nAnswer: -7, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/8 - y**2 - 13*y\/8 - 3\/4.\nAnswer: -(y + 1)**2*(y + 6)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 3:37 AM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 194379.\nAnswer: -38875.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*y, 7 = -3*k - 3*y - 11. Let h = -13 + 21. Let v = 12 - h. Which is the closest to k? (a) 0.4 (b) v (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 6*p + 2. Let h be k(-6). Let j(s) = s**h + 1 - 1. Let i(n) = 39586 - 39586 + 4*n**2. Determine i(j(t)).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56 - -31. Let i be 20\/r*5\/(-2). Suppose 0 = -i*u + 44 - 38. Solve g + u*g = -4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205758 is divided by 180.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 26, 25, 24, 23, 22, 21?\n\"Answer: -m + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, j: 6, c: 4, k: 6}. Give prob of picking 2 o, 1 k, and 1 j.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9942 + -59785\/6. Let n = 23 + z. Factor 0*j**2 + 0 - n*j**4 + 0*j + 0*j**3.\nAnswer: -5*j**4\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1967393852.\nAnswer: 2, 3727, 131969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 21, 34, 81, 180, 349, 606, 969?\n\"Answer: 3*f**3 - f**2 - 5*f + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 297 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 534651*h**2 - 410639?\nAnswer: 1069302*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53\/5 of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 6*w - 2*w. Let n be (2 + 0 + 0)\/((-5088)\/(-4168)). Let l = -3\/106 - n. Which is the third biggest value? (a) 1\/5 (b) l (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -u**4\/72 - 2*u**3\/9 - 5*u + 23. Determine x, given that o(x) = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5369 + 831. What is the smallest common multiple of u and 10?\nAnswer: 6200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 12447 = 6*i - 10*i, 2*v = -i + 4980. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/12 + 5\/10. Let i = -0.035 - 0.015. What is the nearest to p in -0.1, i, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 140*b**4 + 31 + 137*b**4 + (-2*b**2 + 2*b**2 + b**2)*(-8*b**2 + 12 - 12) to t*b**4 + p*b**2 + x*b + m*b**3 + i and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, u: 5, b: 1, y: 1, q: 3, o: 1}. What is prob of sequence oeb?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 (base 15) in base 11?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -58\/53 < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*k - 10. Solve 0 = -r - 4*q - 25, -2*r = -2*q + 3*q + k for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 2\/9 - 374\/99?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of 3*b**6\/2 + 11*b**2\/2 + 6. What is the second derivative of c(o) wrt o?\nAnswer: 180*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13189 = -2*c - 9*c. Calculate the highest common factor of 44 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-5)\/((-25)\/(-70))*(-26)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -11\/3*m**2 + 2\/3*m**4 - 19\/3*m**3 + 10\/3*m + 0 = 0.\nAnswer: -1, 0, 1\/2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggp. What is prob of sequence pgg?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5619 + 67387\/12. Find the common denominator of h and 20\/33.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(17)*3*-3.\nAnswer: -9*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 466*u + 1009. Calculate the lowest common multiple of l(-2) and 35.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t + 6. Let r be 4*(-2)\/(-2) + -1. Let o be s(r). Suppose -o*i + 60 + 122 = -x, -270 = -5*i - 5*x. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -4*z**2 - 2*z + 435. What is the units digit of q(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 7 + u**2 + 3*u - 2 - 1. Suppose 8*t - 18 + 2 = 0. Suppose -9*l + 12*l = -t*z - 12, -l = 3*z + 4. Calculate y(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -187, 2 in ascending order.\nAnswer: -187, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 4 + 4*y**2 - 7 - 14*y**2.\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52 + 43. Let j be 12\/(-18) - (-39)\/y. Let g(z) = z**2 + 6*z + 7. Let d be g(j). Which is bigger: d or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -3)\/((-4)\/(-12)). Suppose -10 = j*g + 5*z - 41, z = 2*g + 1. Suppose n + 11 = g*w, 0*w + 5*w - 29 = 4*n. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -64434 + 449*b + 64434 to the form r*b + s and give r.\nAnswer: 449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 6 - 49 = 5*q, -5*q - 5*h = 40. Let r(u) = 2*u**2 - 7. Is r(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 69*r**3 + 12*r**2 - 69*r - 12 = 0.\nAnswer: -1, -4\/23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 32363190 or 32363186?\nAnswer: 32363190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -152*t + 277*t + 233*t + 108*t + 201*t as o + r*t and give r.\nAnswer: 667","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -355, -1\/4, 253, 0.2, -7\/4 in decreasing order.\nAnswer: 253, 0.2, -1\/4, -7\/4, -355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 9:27 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1895 + -78. Let x = h - 2874. Let m = x + 1056.999999086. What is m rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -319*l = 3*y - 324*l - 411, 4*y = -3*l + 548. Does 9 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*d = 30*d - 120. Suppose 15*p = 10*p - d. Let u be ((-45)\/p)\/3*(-1 - -5). Solve -2*l - 4 = -5*x, 8*l - 3*l + u = 4*x for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 15) in base 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*g = 7 - 1, -g + 27 = -2*t. Let a = 11 + t. Which is smaller: -6 or a?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 27*o**2 + 25*o - 4. Suppose 10*a = 8*a + 28. What is the smallest common multiple of a and t(-26)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (2 + (sqrt(2) + 2)*-5)**2)*1*4.\nAnswer: 320*sqrt(2) + 460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 12290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + g - g)*(-1 + 3 + 0) + 5*g + 9 - 9 + 0 - g + 0 + (-2 + 4 - 1)*(g + 5*g - 4*g).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -65 greater than or equal to -62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k**2. Let o(i) = 115 - 34 - 159*i - 81. Calculate n(o(v)).\nAnswer: 101124*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*q**2 - q**2 + 5*q**2)*(11*q + 25 - 25) to p + i*q**3 + d*q + f*q**2 and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/7 - 202*u**2\/7 - 2315*u\/7 - 852.\nAnswer: (u - 213)*(u + 4)*(u + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -98*o + 197 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4 + (-2 - 3 + 6)*(2 + 0 - 3) + 2 - 4 + 1 + 2 - 12 - 3 + 5 - 3 - 4 + (4 + 4 - 6)*(1 + 0 - 2) - 2 + 2 - 1)*(-2 + 22 - 14*s + 12*s).\nAnswer: 36*s - 360","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 800136.2l in millilitres?\nAnswer: 800136200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82 = 38*o - 20*o + w + 3*w, 0 = 2*w + 4 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of 4*q**3\/3 - 159*q. Suppose 20*r + 2 = 18*r. What is k(r)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 58*m - 1. Let d be f(1). Suppose -2*j + d = -5*t + 6, 0 = -t + 1. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61 + -58. Solve -u - a*d - 19 = d, -2*d - 6 = 4*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*3\/(3 - 0). Let z = v + 1. Solve -5*m = 5*t + 45, -z*m - 4 = -t - 1 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vis when three letters picked without replacement from {v: 1, s: 1, a: 2, i: 4}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/70 + 1\/(-5). What is the nearest to w in -5, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 59.3759794 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 + ((-2619)\/(-297) - (-4)\/22). Suppose 2*h - 19*j = -20*j - 213, -h - c*j = 119. Which is bigger: h or -308\/3?\nAnswer: -308\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -815 + 830. Calculate the remainder when 1707 is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 11*h + 9. Give o(-10).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 354552959 to the nearest integer?\nAnswer: 18830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**10\/(j\/(j*j**(-4))))**(5\/11) assuming j is positive.\nAnswer: j**(30\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 - 73*l + 144*l - 71*l.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwggwwgwww. What is prob of picking 2 g?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/6 and 8.9631028 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 399107772 a multiple of 6551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 0.0290255.\nAnswer: -0.0290255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v + 2. Suppose h - j + 6 - 12 = 0, 9 = -h - 2*j. Calculate c(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -195445 divided by -39089.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(304))**2 + 2)*5 + (sqrt(19) - (5 + sqrt(1216) - sqrt(1216)) - (sqrt(1539) - (3 + sqrt(1539)) - sqrt(1539))**2).\nAnswer: 57 + 107*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 359473, 719019, 1078565, 1438111?\nAnswer: 1797657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8714827*n**3 + 9344930*n**2 wrt n?\nAnswer: -52288962","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Is -317647 > -317632?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1663156, 1663153, 1663150, 1663147, 1663144, 1663141?\n\"Answer: -3*n + 1663159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-171522)\/(-36) - -34)*(-2 + 28\/6)?\nAnswer: 2, 7, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -165, -715, -1641, -2949, -4645, -6735, -9225?\nAnswer: -12121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 491.4205l in millilitres?\nAnswer: 491420.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/39)\/(((-231)\/11)\/273))\/(4\/126).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*a + 481 = 234*a for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/31 + 27\/62. Let x(z) = -z**3 - 5*z**2 + 5*z - 6. Let n be x(-6). Which is the smallest value? (a) -0.4 (b) n (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*j - 3*d - 27 = -147*j, 4*d = -36 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**3 + 41*u**2 + 20*u + 6. Give o(21).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 5*r**2 - 6*r + 4. Let d be j(-6). Suppose d = -o - 2*p, 0*o + 20 = 4*o - p. Suppose 2*l = 4*h + 32, o*l + 2*h - 14 = 2*l. Does 4 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 33*q + 155. Let b be k(-4). Let f(a) = 27*a - 40. What is the tens digit of f(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 528896188?\nAnswer: 2, 132224047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4757.\nAnswer: 67, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**2 - 4*s - 4. Let y be (-12 + 6 - -3)\/1. What is i(y)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -556.9 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/414 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 1\/10 (b) 1\/2 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -487\/2360 + 24\/295. Which is the closest to 0? (a) -4.76 (b) j (c) -0.1 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 3, -3, 1, 99, 1\/12, 5?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 7*u + 3. Let d = 17 + -15. Let m(w) = -3*w**3 + 23*w**2 - 8*w - 9. What is the remainder when m(7) is divided by g(d)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75853 to the power of 1\/2, to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.392 - 124.608. Let i = -128 - l. Put 4, 5, i, -0.2 in increasing order.\nAnswer: i, -0.2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14644 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/18*(-87 + -33 - -122)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence soog when four letters picked without replacement from ggooeggogsgogggge?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 - -26. Let q(k) = -2*k**2 - 31*k - 116. Let g be q(-7). Calculate the greatest common divisor of g and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 15737706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (3 + -7))\/((-125)\/10)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220988847 a multiple of 271?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -5*t**3\/6 - 9*t**2\/2 - 4*t. Let j be p(-7). Let s be (-1)\/4 - 471\/(-12). Calculate the greatest common factor of s and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0453513 rounded to four dps?\nAnswer: -0.0454","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -379*s**3 - s**2 + s. Let w be i(1). Suppose -3*g + g + 1332 = 0. Let v = w + g. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 224 and 4109?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 4:15 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**5 - 3*g**5 - g**5 + (0*g + g + g)*(-g**4 - g**3 + g**3) + g**5 - 2*g**5 + 0*g**5.\nAnswer: -5*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34093 and 2648?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1064 divided by -7\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 16, -1.6 in ascending order.\nAnswer: -1.6, 2\/11, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, 1\/3, -19?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + s**2 + 0 + (1 - 1 + 2*s)*(5*s + 4*s - 3*s) + 23*s**2 - s**2 + 2*s**2.\nAnswer: 37*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 5*a + 12, -5*b - 3*a - 4 = 2. Let j(w) = 3*w**2 + 6*w. Let z be j(b). Solve -z*g**2 - 3*g + 0*g + 5*g = 0 for g.\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 8:23 PM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5496 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62494563 or -62494553?\nAnswer: -62494563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.19799 - 3.79799. What is the smallest value in 2\/11, g, -12, 2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z - 2 + 2 + (-2 + 1 + 2)*(-2*z + 5*z - 2*z) - 383 + 383 - 31*z.\nAnswer: -28*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5107 - -5152.23. Let q = -45 + y. Let j = 1.77 + q. What is the biggest value in j, -0.1, -1\/8?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 7*l + 3*l = 0. Let w(i) = i**2 + i + 5. Give w(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**3 - 13 + 1 - b**3 + 12.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -11*r + 0 + 16*r + 0 - 7*r. Let v(m) = -8*m**2 - 21. Calculate v(j(a)).\nAnswer: -32*a**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8721 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 - ((-2 - -4) + (-39 - -17)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1))**(-23)*(s\/(s*s**(-2\/3)))**(1\/32)*(s**(3\/5)*s*s\/(s\/(s\/(s*s*s**(2\/19)\/s))*s*s))\/(s**(2\/9)*s**(-3\/5)\/s) assuming s is positive.\nAnswer: s**(326861\/13680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 23 + 21. Find the common denominator of 1*(-172)\/w + 4 and -85\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 11:35 PM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 4*p - 6. Let u be b(7). Let f be (-6)\/u*1*5. What are the prime factors of (-3)\/(-2) - f\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - 2. Let v(m) = -m**2 - 7*m + 2. Is v(w) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1862, -10, -8, 2, -2 in ascending order.\nAnswer: -10, -8, -2, 2, 4, 1862","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.3 or 157\/2053?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 5*b = -0*b - 25, 0 = 2*v + 5*b - 19. Let q(m) = 3*m + 0 - 21 - 2*m + m**v. Give q(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2. Suppose 4*n - 3 - 1 = 0. Suppose -w + 2*w = n. Let b(s) = -w + 1 + 4*s**2. Determine o(b(p)).\nAnswer: 16*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3 + 4*t - t - 3*t - 3*t. Let w be d(-7). Suppose -87 = -3*s + 3*q - w, 3*s + q = 81. What are the prime factors of s?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j - 162*j**4 + 163*j**4 - 1458*j**5 - 4*j + 0*j - 1940 wrt j?\nAnswer: -29160*j**3 + 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72024562 divided by -679477.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 + 1)*(-50)\/4. Let p be (-2105)\/20 + (-4)\/(-16). Let h = n - p. What is the remainder when h is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 2*s, -4*h + 3*s + 30 = s. Let a = -13 + 22. Suppose -27 = -h*c - a. Solve c*i - i = 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 11205.\nAnswer: -5602.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -1299*n**2. Let q(c) = -1465*c - 1. Determine q(m(h)).\nAnswer: 1903035*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 4*q + 10, -m - 3*q - 322 = -313. Calculate the least common multiple of 2106 and m.\nAnswer: 2106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75678 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3745000 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 8, y: 5, e: 3, f: 2, b: 2}. What is prob of sequence fe?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 267617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 71.2*-1.4\nAnswer: -99.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 24564 (base 8) in base 16?\nAnswer: 2974","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -103402344 (base 5) in base 13?\nAnswer: -129ca3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-7)*10\/(540\/(-63)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 671*f**3*m**3 - f**3*m**2 + 3*f**3 - 2*f**2*m + 4*f*m**3 + m**2 wrt m?\nAnswer: 4026*f**3 + 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 426130.\nAnswer: 2, 5, 43, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24545345 (base 6) to base 4.\nAnswer: 3001103201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 3 = s, -4*t - s + 4 = -3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 19*q + 7. Give x(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 4:54 PM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -265, 0, -41, 4, -5, 3, -7 in ascending order.\nAnswer: -265, -41, -7, -5, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*(1 + 0 - 2). Let j(b) = b**2 - 6*b + 2. Let q be j(6). What is the units digit of -2*(w\/q + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 8, 3\/17, 0.9, 0.2?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 8*t - 10*t - 22712, 3*q + 5*t = 17086. Is q a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, k: 5, w: 2}. What is prob of sequence ww?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10326 = 297*f + 7653. Let u(y) = -y**3 + 3*y**2 - y + 1. Let n be u(2). Calculate the highest common divisor of f and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0 = r + 2, -r + 5*n - 18 = 0. Let o = -0.2 - -0.1. Which is the nearest to o? (a) -2\/3 (b) -2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.5 + 6. Let y = 9 - 5. Sort 2\/3, a, y in decreasing order.\nAnswer: y, 2\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 2 + (22 - 9) + -12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (6\/(-9) - 8\/24)) + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (4 - -1) - (-13 - -9)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 m, and 1 d when four letters picked without replacement from {e: 2, a: 1, m: 5, d: 1}.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*l - 36*l - 24*l + 42*l.\nAnswer: -41*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -681, 0.4, -0.09, -31\/4?\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -214.5 - -214. Let v be -1*2 - (0 - -4) - -3. Which is the fourth biggest value? (a) 3 (b) 1\/4 (c) r (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 146069208*b**5 + 3*b**4 + 4*b**2 - 59804955*b wrt b.\nAnswer: 8764152480*b**2 + 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4444, 8936, 13484, 18112, 22844, 27704, 32716, 37904?\n\"Answer: 4*s**3 + 4*s**2 + 4452*s - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.041 and 1549306.\nAnswer: 1549306.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 85687 + 5?\nAnswer: 85690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 2\/13 (b) -0.068 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7234 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1528\/72 + (-4)\/18. Suppose -m - 4*s - 3 = 0, 4*s = 3*m - o - 2. Is m > 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*t - 382 = -22 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(136) - sqrt(136)*2*-1) + sqrt(136) - (sqrt(136) - -5*sqrt(136)*2)))\/((sqrt(128)*6 - (sqrt(512) + (sqrt(512) - sqrt(512)*1)))*3).\nAnswer: 7*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2374961*l**4 - 4741*l**2 + 274?\nAnswer: 56999064*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 847330, -5, 3, -1, -3.\nAnswer: -5, -3, -1, 3, 847330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21446836.\nAnswer: 2, 5361709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -103. List the prime factors of d.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i*i*(i*i**(1\/14))\/i*i)*i*i*i**(1\/19))\/(i*i\/((i*i**(1\/24)\/i*i)\/i)*i**(10\/7)\/i) assuming i is positive.\nAnswer: i**(-641\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s - 1. Let v be t(-4). Let u = 20 + v. Suppose 0 = u*d - 73 - 39. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-1053.7\nAnswer: -210.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -24177565, -96710270, -217598115, -386841100, -604439225, -870392490, -1184700895?\n\"Answer: -24177570*t**2 + 5*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggglgggggggggggglggg. What is prob of picking 1 g and 1 l?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22644, -44657, -66670, -88683, -110696, -132709?\nAnswer: -154722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 - (25 + 77 + 1)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/5303627 (b) 0.28 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*i = 58*i + 187 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25370058 a multiple of 322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5 (b) 5 (c) 0 (d) -0.1 (e) -2\/3 (f) 58 (g) -69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -10\/841293?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v + 4. Let o be i(3). Suppose -o = -l + 32. What is the highest common divisor of l and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r + 5. Let f be h(5). Suppose f = 5*c + 2*k - 749, 4*c + 0*k + 4*k = 604. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence anrn when four letters picked without replacement from {a: 1, r: 11, n: 7}?\nAnswer: 77\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 19050?\nAnswer: -1\/9525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 1 - 6)*(2483 - 1238 - 1240 + 21*z) to a + s*z and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10322288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.7 + 4. Let n be (3\/4)\/(9\/(-8)). Which is the second biggest value? (a) -3\/4 (b) n (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 10. Suppose d - 3*w - 11 = 2, -w = j*d - 39. Calculate the remainder when 25 is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -7*n + 4. Let c be q(-4). Suppose 4*p + 0*v - c = -2*v, -36 = -4*p - 4*v. Let g(l) = l**2 - 7*l - 6. Calculate g(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) + 2*sqrt(12) + sqrt(12))\/sqrt(3))\/(sqrt(18)\/sqrt(9)*1).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4*w - 1. Suppose 5*k + 5*k + 10 = 0. What is j(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -248550, 2, 0 in ascending order.\nAnswer: -248550, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1830 and 30.\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - -1 - (-6)\/6. Let f(c) = c - 9. Let q be f(9). Let w = q + 1. What is the highest common divisor of w and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92317 + (-15 - -23) + -26 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 116*r + 22. Calculate p(-2).\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c - 2*c = 66 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44.26 - 6.26. What is the third smallest value in r, -17, -0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107135831123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -10*z - 234, 5*z - z - 557 = -2*c - 647 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-3)*(-186)\/(-620). Which is the third biggest value? (a) -0.09 (b) r (c) 5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = 6*d - 106. Let y = -4 - -6. What is the least common multiple of d and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 58 + -33?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9\/2839 + 38392\/468435. Let j = 6\/55 - f. Let i = 29\/132 + j. Which is the second smallest value? (a) 2\/7 (b) i (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 37, 0.3, -26, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7\/121 - -41\/1089. Let o = 115\/792 + u. Is o at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 10:31 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-4)*-1)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 5*l**2 + 7*l + 3. Let y = 124 - 118. Calculate the remainder when c(-8) is divided by (-42)\/y*(-3 + (2 - 4)).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1 - 2) + 11)\/(12 + -13)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8632100 - -8632100.04899967. Let l = -3.451 + 3.5. Let r = l - q. Round r to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -356 + 1346 = -165*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 93293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 23. Suppose x*u = 4*l - 31, 11 + 2 = l - 3*u. Find the third derivative of -l + 6 - 2 + 13*c**2 - 5*c**5 wrt c.\nAnswer: -300*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w + 9. Let m(y) = 2*y + 4 + 10 - 4. Let x(b) = 6*i(b) - 5*m(b). Let g(p) be the third derivative of -p**4\/24 + p**3\/6 + 5*p**2. Give 2*g(d) - x(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*b = 15*b + 999565. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 203.7 + -207. Let j = 3.6 + k. Which is smaller: j or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 504556164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 14*m**3 - 3722*m - 27*m**3 + 10*m**3 + 1373*m - 2523 + 171*m**2 = 0?\nAnswer: -1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -s**6\/6 + 54*s**5\/5 + 113*s**4\/6 - 308*s**3 - 1996*s**2. What is c in w(c) = 0?\nAnswer: -2, 7\/5, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -101 - -67. Let i be ((-1)\/v)\/(6\/44). Let c = 2\/17 + i. What is the nearest to c in 0, 0.9, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y + 6. Let z(g) = 7*g + 11. Let h(j) = -7*v(j) + 4*z(j). What is the tens digit of h(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g**3\/7 + 17*g**2\/7 - 18*g\/7 = 0. Calculate g.\nAnswer: -18, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**2 - 4*h - 4. Suppose 2*m + 3*o - 30 = -3*m, 0 = 3*m - 4*o + 11. Suppose -15 = -5*l + 2*l. What is the remainder when l is divided by z(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*d**2\/3 + 335*d\/3 + 1420\/3 = 0. What is d?\nAnswer: -4, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2 + 6*z - 3. Let d = 126 + -110. Suppose 7*g + d = 11*g. What is the remainder when l(-5) is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -75 and 6463.\nAnswer: -484725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*a - 22*a - 1164 = 0. List the prime factors of a.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 9 = -41. Let r be (6\/9)\/(v\/(-12)). Let l = 0.33 + 0.07. Which is the closest to r? (a) 2 (b) -4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2991 divided by 276?\nAnswer: 997\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14976 or -14648?\nAnswer: -14648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.3 (b) 90 (c) -128\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 1:22 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/224 and (-1)\/(-12)*33516\/(-392).\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 2 = -j, -2*r + 5 = 3*j - 1 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 3*y - 3. Let a be o(3). What is the common denominator of (-51)\/(-5) - (-3 - a) and 36\/7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4354314 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 18*w. Let s(i) = -i. Let h(n) = c(n) + 12*s(n). Let b be (-1 - (-100)\/16) + (-6)\/24. Is h(b) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*h + 8*h - 42. Let j be ((-66)\/5)\/h - (6 - 3). What is the biggest value in j, -3, 1, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -2*y - 20, -3*y - 8 = 4*b - 3*b. Suppose -b*h + 22 = u, 27 = 4*u + 5*h - 39. Let d = 81 - u. List the prime factors of d.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a factor of 404542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 2)\/(-13 + 10). Put 4, 0, g in increasing order.\nAnswer: g, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a*p**5 - 65576*a*p**4 - 90*a*p - 178*p**2 wrt p.\nAnswer: 60*a*p**2 - 1573824*a*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*z - 3. Solve 4*l - z*l + q - 2 = 0, -2*q = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1896009361 - z**2 + 1896009361.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rq when two letters picked without replacement from hhyhyyyrhyhhhryqhhr.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 26*d - 39*d. Solve 0 = d*b + 3*h - 9, -2*b = -3*b + 2*h + 5 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from jjjgggjjgjgg?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1793178348 divided by -6\nAnswer: 298863058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w**2 - 66*w**3 + 66*w**3 - 3*w**3 = 0. What is w?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-13)\/(-5)*(-25)\/(-5). Suppose 5 = 3*r - y. Let n(j) = j**2 - 5*j - 1. Determine n(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 60\/9 + (-2)\/3. What is the third derivative of 4*n**u - 6*n + 6*n + n**2 wrt n?\nAnswer: 480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/21356 and 53\/2.\nAnswer: 21356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -175, -349, -523?\n\"Answer: -174*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fqfbbbqffbqfffba. What is prob of sequence qfaq?\nAnswer: 1\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 145 - 79. What is the highest common divisor of 22 and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 r when four letters picked without replacement from {r: 15, x: 3}?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*c + 208 = 125*c. What is the highest common divisor of c and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23914225 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 10:28 PM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 14*d**3 + 5*d + 3. Let r be t(-3). What is the tens digit of r\/9*24\/(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k + 10. Calculate the remainder when t(6) is divided by 0 + 1 + 1 + (-276)\/276.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 357548839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 3 (b) 12 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1770.8 + -1771. Let s be 6\/14 - (-1 + 1). What is the third smallest value in -2\/13, s, -5, a?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1852310518.\nAnswer: 2, 926155259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 - 30 = 45*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/42)\/(-5 - (-74)\/14)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 135400003?\nAnswer: -135400010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 337373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 0*r - 52 = -2*r, 0 = 4*r + 16. Suppose -4*m = 2*h + 3 - 1, -w = -4*h. What is the tens digit of m\/1 + 1 + 31?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5\/7)*f\/(f*f*f\/(f*f**(2\/33))))\/(((f\/f**(-34))\/f)\/(f\/(f*f*f*f**(-5\/7))*f)) assuming f is positive.\nAnswer: f**(-1186\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 34a?\nAnswer: -34b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3057*b**2. Let c(a) = 5*a + 504. What is c(o(x))?\nAnswer: 15285*x**2 + 504","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 + -5. Suppose 38*r - 2 = s*r. Is -2\/79 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i - 2. Suppose -3*n - 27 = -2*d, 0*n + 2*d - 34 = 4*n. Let s(m) = -m + 1. What is n*s(b) - 4*y(b)?\nAnswer: 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 18*w + 70 = 0, -3*l - 2*w = -2*l + l - 4*w + 10 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4}. Give prob of picking 2 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*f - 216 = 96, 5*y = 3*f + 796. Suppose -y = -b + 321. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**3 - 4*r**3 + 14*r**3 + 2*r**3 - 2*r**2 to the form a*r + z*r**2 + k + d*r**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 36 = 6. Let d = 121 + -73. What is the greatest common divisor of d and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.7 + -1.3. Let f(x) = 18*x**2 + 9*x + 2. Let y be f(5). Let s = y + -502. Which is the smallest value? (a) -0.2 (b) -3\/2 (c) g (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -2\/9 (c) 2\/7 (d) 166011\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*w + 183, -5*y = -5*w - 733 - 202. Let j be 3822\/y + (-11)\/9 + 1. Suppose 6 = c - j. Calculate the greatest common divisor of 260 and c.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6197591+719883.87\nAnswer: -5477707.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68*l**3*y**3 + 42*l**3 + l**2 - 2*l*y**3 + l*y - 425*y**2 wrt l?\nAnswer: -408*l*y**3 + 252*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -139.998 - -140. Let v = l + -11.002. Are -0.1 and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32376 + 61721. What are the prime factors of l?\nAnswer: 5, 5869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -26 (b) -2\/15 (c) 0.4 (d) 4 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 + 0.5. What is the third smallest value in 3\/7, k, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2. Let h = 12 + -9. Let z(k) = 4*k - 5*k + h*k - 9*k. Calculate z(m(b)).\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -3*(-4)\/(84\/2695)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6882243 is divided by 50.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 0, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -99 - -98. Which is the closest to -2? (a) -5 (b) -1\/3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9280 to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2932 a factor of 202004099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9888 = 10*u - 6082. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.551585 to one dp.\nAnswer: -8.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 38 = 11. What is the remainder when (3 - 4) + 3 + 7 + 71 is divided by r?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n**3 - 17*n**3 + 26*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 401 from 0.2.\nAnswer: -400.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (600\/(-15400))\/((3\/84)\/(-1))?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 5*f + 23, f - 135 = 5*t - 2*f. Let c be (-16)\/t*210\/4. Let q be (-6)\/(-10) + 44\/10. What is the greatest common divisor of c and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 3) + -11 + 4 + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**4 - 227*q**3 - 450*q**2 = 0. Calculate q.\nAnswer: -225, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000078458 to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) 0.2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 503\/196 and 430\/11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-14))\/(10\/60*6).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of 5*b**4\/24 + 43*b**3\/6 + 7*b**2. Let h be i(-17). Let v = h - -94. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.045, -897, -2, 2\/129 in decreasing order.\nAnswer: 0.045, 2\/129, -2, -897","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 1 - 31)*(1 + c - 1 - 10*c - 5*c - c + (4*c + 4*c - 6*c)*(-1 + 0 + 0))*(-4*c - c + 4*c).\nAnswer: -238*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-6) + 23\/(-21). Let w = -16 + 23. Let z = w - 6. What is the third smallest value in 0.2, z, c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88\/6*(945\/(-90))\/((-7)\/(-1)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five quarters of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-15) - 3212436\/(-530). Is k >= 6061?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13215, -26409, -39575, -52701, -65775?\nAnswer: -78785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6281 + 155245?\nAnswer: 162536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -41*j. Let q(h) = -780*h. Let f = -11375 + 11453. Determine f*g(b) - 4*q(b).\nAnswer: -78*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 90*j**2. Let f(l) = -4317*l. What is f(y(b))?\nAnswer: -388530*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4536 divided by 14\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -89, -223, -409, -623, -841, -1039, -1193?\n\"Answer: 4*o**3 - 50*o**2 - 12*o - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1661 = 14*h + 2*h + 125. Calculate the remainder when h is divided by 69.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -71234900 to the nearest 100000.\nAnswer: -71200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/9, 4, -3\/199, -1\/7, 3\/2?\nAnswer: -3\/199","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34097 - 34080.403. Round k to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 7 = -z, -8 = -5*z - n - 25. Let f be 14 - -4*(-18)\/12. Let a be 71200006\/f - z\/(-4). What is a rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = y + 4*y. Suppose -13*f - 4*f + 1530 = 0. Let h = -86 + f. Sort y, -1, h in descending order.\nAnswer: h, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 42 + 7. What is the biggest value in -0.3, 1\/5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96944214?\nAnswer: 2, 3, 137, 117937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 156*k + 1281 + 435 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44957336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - l**2 - 4*l**2 - 11 + 13 + 2*l. Let s be g(-6). Solve -5*v - s = -6 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 82?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -382 + 42. Let h = 5782\/17 + s. Let r = 10456\/11 + -62791\/66. Calculate the common denominator of r and h.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10, 36, 66, 100, 138, 180?\n\"Answer: 2*g**2 + 20*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -l**5\/150 - 7*l**4\/30 - 49*l**3\/15 + 9*l**2 + 25. Let q(v) be the second derivative of j(v). Factor q(i).\nAnswer: -2*(i + 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 751871 - 491344. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-58260508)\/8 - 2\/4. Let k = 13282564 + u. What is k rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - (34 - 11)) + 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 511840 and 320?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 + 640*y**2 - 6575*y + 16380.\nAnswer: -5*(y - 117)*(y - 7)*(y - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -26, -70, -162, -326, -586?\n\"Answer: -4*l**3 - 16*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjy when three letters picked without replacement from gxqxxxxjgyxxjx.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-4))\/5 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106582041 a multiple of 5361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 13*t + 4. Let w be n(-3). Let c = -15 - w. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + -4*3\/2. Let m(q) = q**2 + 3*q + 1. Let j be m(z). Let s = j - 2. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 4*a - 2, 3*a = 4*c - a + 8. Let p(w) = -3*w**2 - w - 3. Let q(v) = -v - 1. Determine c*p(f) + 3*q(f).\nAnswer: 3*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15\/12*348\/1. Find the third derivative of -435 + a + 8*m**4 + 3*m**2 wrt m.\nAnswer: 192*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2001.745 + -1997. Let j = 0.255 + q. Let d = -2.7 + 0.7. Which is the third smallest value? (a) j (b) -4\/9 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, q: 2, a: 7, u: 5, n: 2}. What is prob of picking 1 b, 1 n, and 1 q?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/2 - 26*i - 338.\nAnswer: -(i + 26)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10102 + 102101?\nAnswer: 112210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -423613 by -105.\nAnswer: 423613\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 244 (base 6) to base 16\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3681 + 92*v + 3681 - v - 4*v + 4*v - 4*v + 3*v - v + (-1 + 1 + v)*(1 - 4 + 2))*(-2 - 2 + 3).\nAnswer: -88*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 7*b. Let i(q) = 2*q**3 + 2*q**2 - 2*q + 4. Let u be i(4). Let f(c) = c**2 + u*c - 156*c. What is f(m(r))?\nAnswer: 49*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(2\/5))**(-20)*g**(4\/9)*g\/(g**0\/g) assuming g is positive.\nAnswer: g**(-86\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14 + -1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -52*y**4 - 16*y**3 + 3*y**2 - 17430*y?\nAnswer: -1248*y - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -822, -5502, -18240, -43074, -84042, -145182, -230532, -344130?\nAnswer: -490014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5674, -5668, -5658, -5644, -5626, -5604?\n\"Answer: 2*p**2 - 5676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b - 18*b = -9. Suppose 34 + 71 = b*q. Suppose -q = -4*v + 13. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1140*p**3 - 2986*p**3 - 17*p**2 + 713*p**3 + 1137*p**3.\nAnswer: 4*p**3 - 17*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -10 + (14 - -9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 702, 2352, 4958, 8532, 13086?\n\"Answer: 2*r**3 + 466*r**2 + 238*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 475 divided by -5\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-10))\/((-2)\/10)*1908\/477.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 418?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x - 2. Let l be o(0). Let c be -1 - (0 + 1) - l. Suppose 5*k = -c*k. Solve -3*v - 9 + k = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -f**3\/3 - 7*f**2\/2 - 3*f - 3. Let q be b(-6). What is the second derivative of -4*t**3 - 8*t - 3*t**q + 5*t**3 wrt t?\nAnswer: -12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**5\/6 - z**4 - z**3\/2 + 10*z**2\/3 - 2*z.\nAnswer: z*(z - 6)*(z - 1)**2*(z + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/(-4) - 12) + 33\/30\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 21*a**2. Let u(b) = -2*b**2 + 12*b - 212. What is u(n(o))?\nAnswer: -882*o**4 + 252*o**2 - 212","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 922 - 922.5. Put 1, i, -23 in descending order.\nAnswer: 1, i, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(2 - (23 - -4)). Suppose -y = -6*c + c. Suppose 0 = -u + d + 111, -4*d = 2*u - c*u + 333. Does 37 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 13 (b) 5 (c) -0.1 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 18340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**2. Let d(g) = 610*g**2 + 3*g. Give d(i(u)).\nAnswer: 2440*u**4 - 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 181 - 184. Let j = -0.05 - -0.15. Let h = 2 - 7. Which is the biggest value? (a) j (b) h (c) 0.3 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.308 rounded to 1 decimal place?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 253, 507, 761, 1015, 1269?\n\"Answer: 254*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16546 and 1406410.\nAnswer: 1406410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 3*n = 12, 5*n + 9 = 3*v + 7*n for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 11*x**2 - 35*x + 11. Let h(i) = 0*i + 18*i - 4 + 6*i**2 + 1 - 3. Let r(t) = 11*h(t) + 6*n(t). What is the second derivative of r(l) wrt l?\nAnswer: 36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -106 + 26. Let s = -1 - -2. Calculate the common denominator of -43\/7 and s\/(-5) + 874\/p.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16361037 + -10.\nAnswer: 16361027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 255*f + 15352. What is n(-97)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + 3*v + 15, -3*m - 23 + 8 = 3*v for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000324331 to five decimal places.\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -441, -746, -1261, -1992, -2945, -4126?\n\"Answer: -c**3 - 99*c**2 - c - 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvavvdavvbviiviv. What is prob of sequence bi?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (24\/9)\/((-4)\/(-36)). Is 318\/g*2*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 26402*f - 1228. Let k(r) = -15087*r + 694. Let m(u) = 16*k(u) + 9*t(u). Differentiate m(h) wrt h.\nAnswer: -3774","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**4 + 8000*c**3 + 21338664*c**2 + 18991389632*c + 37897488592 = 0.\nAnswer: -2666, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*x = 11*x + 3064 - 106 for x.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6394956697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/2)\/((-30)\/80). Suppose -p*c + 6 = -c. Suppose -4*b + c*b - 4*u = -36, 5*b - 90 = -2*u. What is the remainder when 69 is divided by b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 28 = -2*z, -z - 4*j - 15 = -43. Let n(w) = -w**3 + 13*w**2 - 18. Does 11 divide n(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -4*j**3 + 2*j**2 + 3*j + 3. Let z be n(-2). Suppose 3*s + 31 - z = 0. Solve -m - s*p - 5 = 0, 0*p = -2*p for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 1:41 AM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4*f = 16, 5*g - 11 = f - 15. Suppose -l - 41 - 107 = g. Is -148 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1054.374 - 0.028.\nAnswer: 1054.346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 66, 15338, 5 in increasing order.\nAnswer: -1, 5, 66, 15338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**4 + 584*h**3 + 4316*h**2 - 4896*h.\nAnswer: -4*h*(h - 153)*(h - 1)*(h + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55 + -34. Is 21 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1205*w - 870*w + 2084*w.\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 261 - 137. Let c = -91 + d. What are the prime factors of c?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1192 + 1192 + 340*q)*(7*q - 3*q + q) + 2*q**2 - 1 + 1 + (-3*q + 0*q + 5*q)*(0*q + 0*q - 2*q).\nAnswer: 1698*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -4, 2\/7, 0, 2.\nAnswer: -4, -2\/9, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 10:37 AM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/10 and (1500\/128)\/(-5) + 2\/(-8).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lh when two letters picked without replacement from {l: 1, d: 2, h: 1, f: 1, a: 1, p: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2355 and 5.\nAnswer: 1.1775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1780 divided by -356?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 16. What is the remainder when 28 is divided by 30\/z*20\/15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide (-90 - -1)\/(56\/(-2016))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5905806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of 0 + 3*f**2 + 1\/2*f**3 + 1\/60*f**5 + 0*f**4 + 0*f. Differentiate h(c) with respect to c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -6*o - 3. Let q be z(-4). Suppose -23 = 11*g + q. Sort 3, 10, g, 1\/6.\nAnswer: g, 1\/6, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 190 + -224. Let j = -36.96 - z. What is j rounded to zero decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*5\/(15\/69). Let i = 10 - g. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2 + 171*b + 1424. Give c(-86).\nAnswer: 1510","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -55. Suppose 2*w = 5*s + 10 - k, 3*s = 3*w + 24. Let q = 4 - -3. What is the remainder when q is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 6 = -r, 0*r - 14 = 5*r + 2*d. Let t = 0 - r. Solve -2*j + 4 = 2*j + 2*i, 2 = t*j - 3*i for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 63231381?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 14*n**2 + 2*n. Let v be q(-5). Suppose -23*a = 21*a - 40*a. Suppose a = 8*d - 3*d - v. Is 34 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0, -6\/5, 80, -8\/5.\nAnswer: -7, -8\/5, -6\/5, 0, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 4:37 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7379736269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+-78.67876572544\nAnswer: -78.77876572544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 714, 0, 7 in descending order.\nAnswer: 714, 7, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -374.78 rounded to the nearest 10?\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-385 + 198 + 200 - 33*n)*(10*n - 10 + 4 + 6).\nAnswer: -330*n**2 + 130*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of 1\/2*m**3 + 1\/10*m**5 - 1\/12*m**4 - 1\/120*m**6 + 12*m**2 + 0*m + 0. Give s(4).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -62880073.1 to the nearest 1000000.\nAnswer: -63000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1770.01 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nj when two letters picked without replacement from {d: 1, u: 1, h: 6, n: 1, t: 1, j: 3}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x + 0*x + 2*x - x as v + g*x and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/sqrt(9) + -3 + 3 + 1*(sqrt(2057) - (sqrt(2057) + -4 - sqrt(2057))) + 5.\nAnswer: 9 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**4 + 228*z**3 - 18378*z**2 - 228*z + 18375 = 0. Calculate z.\nAnswer: -125, -1, 1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 3*z + 6602 = 0, 21*z - 1338 = -b + 16*z. Suppose -b*s + 6 = -1321*s. Put 5, s, 24, -1 in descending order.\nAnswer: 24, 5, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 0*l - 2*l)*(1 + 1 - 4) + 7*l + 13 - 13 + l + 0*l + 0*l + (4*l + l - 3*l)*(-5 + 4 - 6).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -343443.8039 minus -470?\nAnswer: -342973.8039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2574*g - 1474. List the prime factors of a(-3).\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -261, -234, -205, -174, -141, -106?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 28, 0.76, -1, -1\/8, 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -5*d. Let g(k) be the third derivative of 139*k**5\/60 - 12*k**2 - 3*k. Give g(z(y)).\nAnswer: 3475*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 11) to base 16.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1802 is divided by 256?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -0.6. Let h be 9\/(-35) - (-4)\/(-28). What is the second smallest value in a, h, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -n + 200. Let w = n - 8. Suppose 18 = 5*f - w. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(3\/(-3))\/(2\/4). Suppose -h*y + 8 + 152 = 0. Does 40 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a - 12. Let q(r) = 12*r + 797. Calculate -q(n) - 10*y(n).\nAnswer: -2*n - 677","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -1 - -4) + 7 + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-22)*44\/(-4))\/(-4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 2*h - 1439*n + 1438*n = -31, -6*n + 146 = -4*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - i - 43, 3*c - 5*i + 12 + 3 = 0. Let n be c - ((-12)\/3 + 1). What is the units digit of ((-4)\/n)\/(30\/105)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11130 + 220?\nAnswer: -10310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42545365 is divided by 924899?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-21))\/(((-54)\/126)\/((-4)\/(-6))).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.4, 2, -301, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -3*x**3 - 243*x**2 - 5040*x - 4800 = 0?\nAnswer: -40, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 8*l + 2. Let z be ((-2)\/5*1)\/(3\/(-15)). Let d be 15\/(-1) + z + 3. Let t be b(d). Solve 1 = -2*r + 4*c - 27, 3*r = 2*c - t for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.9 + -0.1. Let t = -148424 - -148420. What is the closest to t in u, -2, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, p: 3, x: 2, j: 3, s: 3}. Give prob of picking 3 j and 1 p.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11190, -10951, -10714, -10479, -10246?\nAnswer: -10015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*i - 248 = 78*i. Let b(s) = -s**3 - 7*s**2 + 5*s - 11. Calculate the remainder when i is divided by b(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**3 + 650*y - 3*y**3 + 4*y**3 - 650*y.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -156.8795 - -0.1795. Let w = 157 + r. Which is the biggest value? (a) -30 (b) w (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 45*n + 499. Let h be s(-11). Which is the third biggest value? (a) -5 (b) 0.2 (c) 7 (d) -2 (e) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -1\/752759247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 29930 (b) -2\/15 (c) 1661\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1015, -2037, -3059, -4081, -5103, -6125?\nAnswer: -7147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*i - 2*i**2 + 4*i)*(3 - 1 + 0) + 3*i**2 - 3*i**2 - i**2 - 2 - i**2 + 4 - 3 + (i + 2 - 2)*(i + 0*i + i) to g + b*i + x*i**2 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 1 = 2*x. Let p(h) = h**3 + 15*h**2 + 12*h - 5. What is the remainder when x - 3 - -7*13 is divided by p(-14)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 44649, 178595, 401837, 714375, 1116209?\n\"Answer: 44648*g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of s**6\/120 + s**5\/20 + s**4\/8 + 7*s**3\/3 - 440*s**2. Calculate y(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88 and 288838?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -104*27\/(-2592)*4?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2. Suppose -r = -2*t + 5*t - 6, 5*t + 5*r = 0. Let o(j) = 7791 - 7791 + t*j. What is o(p(q))?\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 252 and 152874.\nAnswer: 2140236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2\/i)\/(i*i*i\/(i*i**5))*((i\/(i*i\/(i\/i**(1\/3)*i)))\/i)**38 assuming i is positive.\nAnswer: i**(-26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20884.\nAnswer: 2, 23, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207056 is divided by 580?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -5 + 5 + -1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2540 + -7618\/3. Let u = 0 + -2. What is the smallest value in u, 1\/74, -0.2, n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110101101010010111100 (base 2) to base 11.\nAnswer: -aa1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 6:24 PM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3879 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, o: 2, i: 2, x: 1, w: 1}. What is prob of sequence oio?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12119.5 + 12120. Sort -0.06, -8.84, p in decreasing order.\nAnswer: p, -0.06, -8.84","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5*r - 50, -n + 5*n = 3*r + 234. Suppose -4*p + 2*s - n = 0, 7*p = 4*p + s - 44. Let t be (1 + 139)*1100\/p. Round t to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 + 16 = 4*f. Let n = f + -1. Let y be ((-8)\/n)\/(-2)*15. Calculate the highest common factor of y and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.07 (b) -15 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**(-12)*q)**(-2\/45) assuming q is positive.\nAnswer: q**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1246+-21852\nAnswer: -23098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 890 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 - (0 - 33 - -35 - -10)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 0.1. Let s = -10 - -12. Let y = 6 - 6.4. Which is the closest to 2\/7? (a) o (b) s (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-81377994)\/(-9) - (-6)\/9. Round s to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -568479, -568480, -568481?\n\"Answer: -o - 568478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - (0 + 0)) + 5. Suppose -4*a = -2*a + x, -4*o = -2*a - 50. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9133433 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41 + -5101422335?\nAnswer: -5101422420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 254 a factor of 1583690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1332611215 - -2?\nAnswer: -1332611213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2570752203960 and 4.\nAnswer: -2570752203956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*s + 7*s + 5*s + (-3 + 0 + 5)*(-3*s + 2*s + 2*s) + s + s - 3*s + (0 + 0 - 3)*(-2 + 2 + 2*s))*(9 - 1 + 4)*(-3*s + s + s).\nAnswer: -312*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 5*w**3 - 98*w**2 + 41*w - 146. Calculate f(20).\nAnswer: 1474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -1.11?\nAnswer: 5.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-132) - 1122\/121?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d + d**3 - 9*d**2 + 2*d + 10*d**2 + d in the form k*d + u*d**3 + c*d**2 + x and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 1308152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + g. Let f(t) = -12*t**3 - 2*t**2 + 10*t. Let a(h) = 4*f(h) - 40*s(h). Find the third derivative of a(o) wrt o.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -737 + 6635\/9. What is the biggest value in -3, 4, t, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 586350 and 350.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-54)\/(-99)*1)\/((-1)\/(-11))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o + 42 - 8 = 0. Put 2\/13, o, 0.03, 0 in descending order.\nAnswer: o, 2\/13, 0.03, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (51\/20)\/(((18\/(-46))\/(2421\/(-37122)))\/(-16))?\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 4*j = -13, 542*j = 6*x + 541*j + 27 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4606\/(-63) - 20\/40*(-6)\/135*5?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 95\/3752812?\nAnswer: 95\/3752812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -200 + -83?\nAnswer: -283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from dddxxddxxddddddxxxxx?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14732 is divided by 31?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49 - -195\/4. Let d = -88 - -88. Suppose 5*f - 4*p - 136 = -16, d = f - p - 25. Which is bigger: n or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + l**2 + 5*l - 5. Let r be s(1). Suppose 0 = 4*n - 4, -5*n = -g - r*n + 538. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (378\/(-49))\/(3\/(-21))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0783 to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 8, -5, 5, -136737 in descending order.\nAnswer: 8, 5, -5, -19, -136737","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*w + 23*w + 3*g + 17, 20 = -4*g. Sort 474, -5, w in descending order.\nAnswer: 474, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of t**5\/20 - t**4\/24 - t**2 + 5*t. Let u(n) be the first derivative of k(n). Find the second derivative of u(p) wrt p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42991 - 154864. Let g = q + 198076.0117. Let n = 221 - g. Round n to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -190.17 and 0.5.\nAnswer: -95.085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -5*m - 20. Let d(v) = v + 5. Let i(u) = 2*c(u) + 9*d(u). Let t be i(-4). Suppose o = -5*l + 8, -2*o + 0*l + t = 3*l. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0044 + -302.9956. Let h = u - -303. What is the closest to -1\/6 in h, -1, 0.01?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56315938.\nAnswer: 2, 7, 4022567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*u - 5*u + u)*(4*u - 2*u - 4*u) + (0*u + 3*u - u)*(3*u - 4*u + 3*u) + 4*u**2 + u - u)*(u**2 + 4 - 4).\nAnswer: 12*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -115*h + 79 - 283 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2 + g - 4 + 2. Let r be k(1). Let u(f) = 3*f + 1. What is u(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*j**2 - 3*j - 3*j + 6*j.\nAnswer: 63*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1390*m + 653*m + 730*m.\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -7*r + 246. Let v be t(35). Which is the closest to v? (a) 1\/4 (b) -0.3 (c) 5 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(171) + sqrt(171) + 0 + sqrt(171) + 0 + (3 + 2*sqrt(171) + sqrt(171) + sqrt(171) - (3 + 1*sqrt(171) + sqrt(171) + sqrt(171))))**2.\nAnswer: -96*sqrt(19) + 2752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25798 is divided by 922?\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5959 (b) -8.5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3725672 a multiple of 508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/19, 2, -238218\/49 in increasing order.\nAnswer: -238218\/49, -1\/19, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.5 * -1242767.\nAnswer: 4349684.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 28) + 14 - (-20 + 54).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 155*p + 156*p - 2 = 0, 0 = 4*r - p - 23 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*v**3 - 7*v**3 + 9*v**3.\nAnswer: -44*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vee when three letters picked without replacement from vevveev.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4724352 divided by -174976.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*t**4 + 4*t**3*w**3 - 327*t**2*w - 3*w**3 wrt t?\nAnswer: -192*t + 24*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**2 + 15*a - 1 + 10*a**3 - 10*a - 4*a - 4*a**4 + 0*a**2 to the form u*a**2 + d*a**4 + k*a + j*a**3 + y and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**3 + 0*u**3 - 3*u**3)*(2*u - 2 - 3*u + 4*u) + (-3*u + 3*u - u**4)*(2 + 1 - 5) + 1784 - 1784 - 476*u**4.\nAnswer: -477*u**4 + 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1368.10485 seconds to weeks.\nAnswer: 0.002262078125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2*p = -0 - 6, 7 = 3*w + p. Suppose -w*c - 2 - 36 = 0. Let l = c - -34. What is the greatest common factor of l and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 267419635?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1990 and 58?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 39, 53, 89, 159, 275?\n\"Answer: 2*r**3 - r**2 + 3*r + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.6726519 microseconds to weeks.\nAnswer: 0.00000000003087409375","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: Let t(h) = -13*h**2 + 293*h + 687. What is t(32)?\nAnswer: -3249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = w - 5, 4*w + 17 = 5. Let v be (-3 - j)\/(-2)*-2. Let q(s) = 4*s**3 - 2*s**2 - 3*s + 4. Let x be q(v). Solve x*i + 5 = 4*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 11, 1 in descending order.\nAnswer: 11, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -6300*v**2 + 25202*v + 19. What is c(4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h + 3. Let i(v) = -4*v - 12. Let d(w) = 6*i(w) + 22*l(w). Let p be d(-4). Suppose 2*m + p*s - 4 = 0, -4*s + 9 = -0*m + 5*m. Is m less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16416, 34903, 53390, 71877?\nAnswer: 90364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 10:17 AM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15155449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n + 22 = 10*n. Suppose 0 = -g + 4*x - n, -10 = -4*x - 2. Let u = -1 - -4. Put u, g, 4 in descending order.\nAnswer: 4, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.24 - -2.34. Which is the closest to 1? (a) 2 (b) i (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1440\/(-113400))\/((-20)\/700).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.72 + -0.02. Let r = d + -4.6. Which is the third smallest value? (a) r (b) 0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 11*b**2 - 29*b + 9. Let z be v(5). What is the highest common divisor of z and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001499584 rounded to five decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 - 28. Suppose 5*o + 3*k - 340 = o, -u = -2*k. Calculate the remainder when o is divided by 32.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 1\/13525 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 4*h - 5. Let o be j(5). Suppose o = 5*u - 49 - 116. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2433068?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 c when three letters picked without replacement from {d: 2, c: 2, u: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (11446\/1455 - 3*3) + 11\/(198\/24). Factor -7\/5*w + y*w**4 + w**2 - 6\/5 + 7\/5*w**3.\nAnswer: (w - 1)*(w + 1)**2*(w + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 357*u**2 + 1175*u + 165099. Determine l(-355).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3033 is divided by 92.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 9*s**2 + 58*s - 394. Let v be r(8). Solve 0 = -v*q - 34 + 4 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6220.097 nanometers to millimeters.\nAnswer: 0.006220097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1013, 1165, 1317?\nAnswer: 1469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t. Let m be h(-3). Suppose 845 = 4*x + 5*j, -5*x + 1081 = -m*j + 4*j. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -1)*2\/20*-5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11, 44, 91, 146, 203, 256, 299?\n\"Answer: -x**3 + 13*x**2 + x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 6*m**2 - 4*m - 16. Suppose -l = -0 + 7. List the prime factors of x(l).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vzvg when four letters picked without replacement from vzgfvvvgvffvfvvvv.\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -11022222?\nAnswer: -11022210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 754 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*y + 5327 - 14927 = 5844. Is y a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 391273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 6 = -4*j, -12 = 5*j - 2*h - 2*h. Suppose 52 + j = 4*m. Calculate the remainder when 38 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/31, 2\/7, 2\/13, 2\/5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 3, 5, 10, -1 in descending order.\nAnswer: 10, 5, 3, -1, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 164954201 to the power of 1\/2, to the nearest integer?\nAnswer: 12843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82453 is divided by 2236.\nAnswer: 1957","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29941?\nAnswer: 79, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 74? (a) 188 (b) 71\/4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9871067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/((-4)\/(-6)) + -1. Let h be 2\/8 - 27\/v. Suppose 0 = 4*w - 2*u - 12, -u - 2*u - h = 5*w. Is w at least 3\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 46 = -148. Suppose -d = f - v, d + 4*f = -d + 68. List the prime factors of d.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 8155951?\nAnswer: 8155951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6135325 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1356703\/287298 - 1\/15961. Find the common denominator of 3\/2 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 11 - 97*h + 37*h + 33*h + 41*h. Let d(x) be the second derivative of -5\/6*x**3 + 0 + x - 2*x**2. Calculate -17*d(q) - 6*j(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 34874*r + 631. Is l(20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.813 + -0.413. Which is the closest to 1? (a) -5\/6 (b) n (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from icrtirriiciccj. What is prob of sequence cjit?\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b**2*k - 591*b**2 + 5*b*k**3 - 2*b + 33103*k**3 with respect to b.\nAnswer: 2*b*k - 1182*b + 5*k**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - 14. Let k be -3 - -3*2\/3. Which is the nearest to -1? (a) n (b) k (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 364*c - 106 - 733*c + 366*c.\nAnswer: -3*c - 106","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -0 - 12. Suppose -s + 20*s - 399 = 0. Calculate the greatest common factor of u and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 8*v**2 + 9*v + 16. Let w be i(-7). What is the nearest to 0.1 in -5, -3\/5, w?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51 + -48. Put -6, 0, 1\/10, j in descending order.\nAnswer: j, 1\/10, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-12)\/(p*(p\/(p**(2\/5)*p))\/p))**(5\/8) assuming p is positive.\nAnswer: p**(-29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wts when three letters picked without replacement from {w: 2, s: 1, t: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 436 + 40?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*f - 48, -f - 4*x + 17 = -5*x. Calculate the remainder when 67 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -6*v**2 - 9*v + 1. Let h(u) be the second derivative of u**4\/4 + 5*u**3\/6 - u**2\/2 - 14*u - 3. Calculate -5*h(g) - 3*y(g).\nAnswer: 3*g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(1 - 56\/57). Let w = a - -47. Let s be (-7)\/((-28)\/(-8))*w\/(-44). Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46450 and 40253570?\nAnswer: 201267850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/12)\/(8\/16).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 66\/(-14) - 4\/14. Calculate the common denominator of (-3)\/c - 985\/(-400) and (-397)\/10 - 7\/(-35).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 16 = 0, 0*f = 5*p - 4*f - 113751. Let a = -8984 + p. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8)\/(-14))\/(68\/4046) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -505365 (base 8) to base 2\nAnswer: -101000101011110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/13)*d*d**(-2\/11)*d)\/(d\/d**(-1))**(2\/27)*d**(-2)\/(d*d**3)*(d\/(d**(-3\/5)*d)*d)\/d**(2\/23) assuming d is positive.\nAnswer: d**(-1284911\/444015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 72911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 500834 is divided by 542?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02392 times 4?\nAnswer: 0.09568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 15 = -3*j, -5*v + j + 10 = 0. Suppose 2*f = 9 - v, -5*f = -i + 5. Suppose -3*x + i = 2*x. Put 0, x, -5 in decreasing order.\nAnswer: x, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + x + 31 = 0, -3*y + 6*y - 5*x - 35 = 0. Calculate the remainder when 4*((-92)\/(-16) - 3)*y is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/3 + (-192)\/(-72).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 1b?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/4*(-4)\/6. Solve -n*a - 10 = -1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 3, 5 in increasing order.\nAnswer: -4, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 10*o - 10. Determine n(6).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29.194 - 29.594. What is the closest to t in 1\/3, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 + -11)\/((-3)\/2). Let x = m + 39. Let b = x - 20. Is 11 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1239?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 - 9. Calculate the greatest common divisor of 135 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -364*y - 847.\nAnswer: -364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162)*2 + 2 - ((sqrt(162) + 1)**2 + -5) - 1*((sqrt(162) + (sqrt(162) - 1*sqrt(162)) + sqrt(162))**2 + -5 + sqrt(162)).\nAnswer: -799 - 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 + 35. Let l = 34 + -10. Let o = l - n. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**6 - 3094*p**3 - 615*p**2.\nAnswer: 120*p**3 - 18564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2 - l. Let h(k) = k**2 - k. Let p(f) = -4*h(f) + 4*i(f). Let z(b) = 2*b - 4. Let n(c) = -2*c + 5. Let a(x) = 4*n(x) + 5*z(x). Give p(a(o)).\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 2)*(c + 4*c - 2*c) + (-318 - 173 + 134)*((-6 + 1 + 4)*(-c + 0 + 0) + 5*c + c - 4*c) to the form n*c + f and give n.\nAnswer: -1065","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 15*d + 33. Let w be y(17). Sort 1, 39, w, 4.\nAnswer: w, 1, 4, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r - 14. Determine n(3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-18)\/8 - -2)\/((-405)\/9090) and 37\/196.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1796457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**3*v*w - 69*c**3*w + 880*c**2*v*w + 33*c**2*w + 4*c*w + 23*v*w - 2*w with respect to v.\nAnswer: c**3*w + 880*c**2*w + 23*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -38425, -38509, -38597, -38689, -38785, -38885?\n\"Answer: -2*v**2 - 78*v - 38345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*(-1 - 1)*(-9)\/(-18). Suppose -3*b + 12 = s. Suppose 3*h - b*h - 2*i = 138, 0 = 3*i + 6. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, q: 2, v: 2, y: 1, w: 4}. What is prob of picking 2 v and 1 x?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 3*l - 2. Let g(w) = -4*w + 16. Let k(o) = 3*o - 17. Let y(p) = -2*g(p) - 3*k(p). Let c be y(0). Let b = c + -24. Give s(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2207792928 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -623 - -653. Suppose 4*k = -w + 33, -3*k + 0*w + w = -n. What is the biggest value in -9, -0.3, -4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 10*g - 9. Let z be d(-7). Suppose 0 = -6*l + 2*l - z. Let c(x) = 3*x**2 + 4*x + 1. What are the prime factors of c(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -37 + -4?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6536568402 to the nearest integer?\nAnswer: 1870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 38?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -1 - 0) + -10 + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 times -0.2831\nAnswer: -0.005662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.047, 0.2, 4, 0.\nAnswer: 0, 0.047, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*d = 148. Let z = 112 + d. Suppose 4 = 2*a, -2*f + 2*a + z = 7*a. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 210 + 132?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5*i + 7*i - 410 = 0, 6 = -2*i. Let o be (-15)\/(((-39)\/q)\/((-2)\/(-4))). Solve 0 = 5*j - 10*j + v - o, -5 = -j + 2*v for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -4 - (-3 + -1 + 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 39853*x**2 + 13*x - 1112257.\nAnswer: 79706*x + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5 = o. Let d be ((-5 - -2)\/(-1) - 3)\/1. Sort 8, o, d.\nAnswer: d, o, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = b - 120. Let g = -14 + b. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of a**6\/120 - 3*a**5\/40 - a**4\/2 - 68*a**3\/3 + 116. Let t(l) be the third derivative of d(l). Factor t(u).\nAnswer: 3*(u - 4)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 900*q**2 - 154. Let t(u) = -10*u. Give t(l(z)).\nAnswer: -9000*z**2 + 1540","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-26)\/143 + (-1020)\/(-44). Sort 4, 1, -4, u in ascending order.\nAnswer: -4, 1, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/6297557 and 145\/6.\nAnswer: 37785342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 1192*y**2 + 33*y**3 - 1192*y**2 - 39*y**3 - 9.\nAnswer: -6*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 387 and 1315578.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/(1863\/(-23)))\/((-3)\/(-27)) + -15.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3815999 and 759.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10111200 + 21?\nAnswer: -10111102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 119*h + 502. Is 51 a factor of q(20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -689\/37741?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.020254 - -24390.020254. Let f = 24390.39996 - i. Let d = 0.4 - f. What is d rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k - 3. Let v be m(1). Let q(l) = -l + 4. Let h be q(v). Calculate the common denominator of 113\/(-30) + h - 2\/5 and 28\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0197786 rounded to four dps?\nAnswer: 0.0198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 627 + 93. Let t = w + -563. Calculate the common denominator of 1 + -2 + t\/10 and -49\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*f + 7885 = 28*f. Let i = -1124 - f. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + 21. What is the third smallest value in t, 1\/7, 0.01?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250078 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i + 1. Let k = 11 - 15. Let d be (k\/(-6))\/((-6)\/9). Let a(t) = 4*t + 4. Suppose -j + 6 - 3 = 0. What is d*a(c) + j*w(c)?\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -28 (c) 7\/6 (d) 90 (e) 0.2 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 2*o + 28 - 8, 4*f = -5*o - 17. Let x be -1 - ((-3)\/2 - 0). Let u - 1\/2*u**f - x = 0. Calculate u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14cc6 (base 14) to base 13.\nAnswer: -1a829","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -545 - -556. Calculate the lowest common multiple of h and 205.\nAnswer: 2255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) -0.2 (b) 0.05 (c) -5 (d) -1\/6 (e) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -h**6\/120 - h**2. Let t = -579 + 580. Give b(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -112, -4, -3 in ascending order.\nAnswer: -112, -4, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2855153.\nAnswer: 7, 407879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 78767?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3366.72 or -4\/61?\nAnswer: -3366.72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011110101 (base 2) in base 15?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*u**3 - 36*u**3 + 5*u**3 + 2*u**3 + 7*u**3 + 0*u**3.\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3234*s**2 - 242*s - 3230*s**2 + 6450*s**2.\nAnswer: -14*s**2 - 242*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and -206658.\nAnswer: 1239948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.259 rounded to 1 decimal place?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001131269 rounded to seven dps?\nAnswer: 0.0000113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 3*o**4\/7 + 4*o**3\/7 + 2*o**2\/7 - 2*o. Factor t(u).\nAnswer: 4*(3*u + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/10)\/(42*26\/16380)*(-1)\/381.\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3751370 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/4 - (0 - 1))\/((-2485)\/(-142) + -17)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -f**5\/4 + 25*f**4\/12 - 20*f**3\/3 + 10*f**2 + 42*f. Factor o(n).\nAnswer: -5*(n - 2)**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20056493\/3600 + -50144\/9. What is the common denominator of -107\/168 and n?\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -3. Let v be (n\/25)\/((-2)\/(-20)). Suppose 0 = -v*m + 1 - 5. Is -2 greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55870963?\nAnswer: 19, 2940577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 8 = 0, -3*m = -17*m + 5*f + 38557 - 38559 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25960 a multiple of 284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77 divided by -7336337.\nAnswer: -77\/7336337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 529273 to the nearest integer?\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 10 - 4) + -5 + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1349 is divided by 72?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -395105510 + 23231*i**2 + 395105510 to the form t + n*i**2 + o*i and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13435737167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*t + 13*t - 24*t)*(1 + 0 + 11)*(2*t**3 - 3*t**3 + 2*t**3 + 1) + (-2*t + 3*t - 2*t)*(-4*t**3 + 3*t**3 + 0*t**3).\nAnswer: -11*t**4 - 12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2033\/4 - 517. Find the common denominator of (-3 - (-284)\/96)\/(6\/(-1016)) and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i**2 + 3*i - 5. Let m be t(-4). Find the third derivative of -2*r + 2*r - 26*r**2 - m*r**4 + 12*r**4 wrt r.\nAnswer: -456*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 7*f + 3*p + 1987 = 0, f - 379 = -4*p. List the prime factors of f.\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -8, 0 = -3*n - a - 2 + 6. Suppose 5 + 1 = 2*b. Solve -2*m - b*m**2 + 1 - m**3 - n - m = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 3:58 AM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/(-24))\/((-1)\/((-9)\/(-174)))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n + 2. Let f be p(-2). Suppose -y - 2 = -f. Let s = -39.9 - -40. What is the closest to -2 in -0.4, s, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 4*k - 1. Suppose 14 = 5*a - 2*b + b, -2*a - 5*b + 11 = 0. Let w be s(a). Let z = 31 + -26. Solve z*l + 13 = -2*d, d = -w*l - 0*d - 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**5\/2 - 83*n**4\/4 - 665*n**3\/4 - 472*n**2 - 517*n - 160 = 0. What is n?\nAnswer: -32, -5, -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45.07 + -45.17. What is the fifth biggest value in 62, 1\/4, -2, u, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -19, 1, 37, 95, 181, 301, 461?\n\"Answer: m**3 + 2*m**2 + 7*m - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 1366 = -o, -1364 = -6*r + r + o. Let l = r + -270. Solve 6 = -l*y - 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(156)*1)\/sqrt(12) - ((4*sqrt(312) + sqrt(312))\/sqrt(6))\/sqrt(4))**2.\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - 6. Let y = p - 5. Let h = -8 - y. Solve -4*s = -4*a - h, -2*s + 5*s - a - 1 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**7))\/o**7)**(20\/13)*((o\/(o*o*o*o**(-2\/27)*o)*o)\/o*o**(-7)*o)\/((o\/o**(1\/2))\/o*o)**(2\/93) assuming o is positive.\nAnswer: o**(-331600\/10881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 5 = 25. Suppose 15 = 3*g, s + p*g = 5*s - 32. Let l = -5 + s. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*r - 7*r + 21*r + 5*r + 0*r - 10*r + (-7 - 2 + 3)*(1 - 1 + 5*r) as l + j*r and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.9 - 4. Let f = 0.03 - -0.97. Which is the second biggest value? (a) f (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - (-5 + 15)) + 10 - 24.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12640 by -20.\nAnswer: -632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14240028 and 1389?\nAnswer: 14240028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, r: 8, x: 2, t: 7, g: 2}. What is prob of sequence txr?\nAnswer: 14\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.58 and -0.07.\nAnswer: 0.0406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 4555*j**2 + 5856*j**2 + 1034*j**2 + 882*j**2 - 1857*j**2 in the form g*j**2 + r*j + w and give g.\nAnswer: 10470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16819698143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-536 + 536 + 169*a)*(-2 + 0 - 10).\nAnswer: -2028*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 228 + -213. Suppose -t*z + 8540 = 5*z. What are the prime factors of z?\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/8*(-26)\/((-780)\/(-10))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -5*o + 56, -o + 3*o = -3*i + 12. Suppose 4*y = -3*q + y + 162, 0 = -3*q - y + 168. Calculate the remainder when q is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 853.\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 193783 - 159?\nAnswer: 193626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -122\/9 + 22\/9*a**2 - 100\/9*a = 0?\nAnswer: -1, 61\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 10*h = 2*i + 19, 3*i + 3 = -4*h. Let t be (h + -5 + 3)\/((-1)\/(-45)). Calculate the highest common divisor of t and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, -1, -0.093, 5 in decreasing order.\nAnswer: 5, -0.093, -0.7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*d**3 + 51*d**3 + 17 - 17.\nAnswer: -47*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*c + 3*c. Suppose c*w = 2*w + 4. Suppose -w*r = r - 18. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260 = 24*h - 12 - 64 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of 3*z**5\/20 + z**4\/8 - z**3\/2 - 52*z**2. What are the prime factors of t(4)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10 - 1)\/((-1)\/(-8)). Let r = 131 - i. Suppose 4*z - r - 69 = 0. Is 24 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*x**3 - 67*x**3 + 3*x - 5*x.\nAnswer: -3*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 - 5*s - 2. Let h(x) = 2*x**2 - x. Let f be h(-1). Let c be v(f). Let r be ((-15)\/2)\/(-3) + -1. Which is greater: c or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*k = -82, 4*k + 137 = 3*j - 0*k. What is the tens digit of (j\/2)\/((-6)\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x**2. Let s be r(1). Suppose -s*t = -t - 18. Factor 0*w - 2*w**3 + 7*w - w - 5 + t.\nAnswer: -2*(w - 2)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1767049469.\nAnswer: 59, 29949991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 703 - 665. What is the highest common divisor of 608 and r?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12034771 by -4.\nAnswer: -12034771\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 6*r**2 - 16*r + 7. Let j(h) = -2*h**3 - 13*h**2 + 35*h - 17. Let b(t) = 4*j(t) + 9*v(t). Give b(-5).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - 1\/((-2)\/9136). Suppose 4*v = -v + o. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 44, -143, -330, -517, -704, -891?\n\"Answer: -187*n + 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -330*z + 19. Is o(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7, -6, -2, 10, -106 in decreasing order.\nAnswer: 10, 7, 1, -2, -6, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 516323 (base 7) to base 14.\nAnswer: 2444a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and -7190140.621?\nAnswer: 7190141.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 6 = -0*z. Suppose -3 = -3*l - 0. Let u be (-10)\/4 - l\/2. Is z less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(4860) + (1*sqrt(4860) - sqrt(4860))) + sqrt(4860) + sqrt(4860))\/((-1*sqrt(768) + sqrt(12) - sqrt(12))*5).\nAnswer: -9*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -8.55 times -2\nAnswer: 17.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = j - 2 - 101, -5*j = 10. Let o(p) = 24*p - g*p - 6*p + 0*p. Let b(n) = -3. Let q(r) = -r - 5. Let s(h) = -5*b(h) + 3*q(h). What is o(s(k))?\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*p + 4 = -3*a, -3*p + 10 = 2*a. Solve -4 = -a*r + r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1914983.\nAnswer: 7, 273569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7911 and 12013?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*k**3*n**3 + 2*k**3*n**2*s - k**3 - k*n**3*s + 2*k*n**2 - 4*n*s wrt n.\nAnswer: -24*k**3 - 6*k*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus 22145902327?\nAnswer: 22145902326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -t**4\/2 - t**3\/3 + 3*t**2\/2 + t - 2. Calculate c(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 165*d**2 - d + 2. Suppose 2*h = o + 86, -6*o + 78 = 2*h - 3*o. Calculate the remainder when y(1) is divided by h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 4*t**4\/5 + 16*t**3\/5 + 4*t**2 + 8*t\/5 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -5*x**5 + 10*x**4 + 45*x**3 - 110*x**2 - 20*x + 120 = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1415 - -114617\/81. Are -1 and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 9 - 3*f + f + 6*f - 3*f. Calculate the remainder when 157 is divided by l(23).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -46*a - 1513. Let s be g(-33). Solve 0 = 5*m + 2*t - s, m = -3*m + 3*t + 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25960 and 28?\nAnswer: 181720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12329011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 19906388 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + sqrt(2)) - (sqrt(2)*1 + 3)) + -1.\nAnswer: -5*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 9, 3, 17, 63, 153?\n\"Answer: 2*y**3 - 2*y**2 - 14*y + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-990)\/(-525))\/22)\/(3280\/252 + -13).\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 11:54 AM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -70*k - 2516. Let y be g(-36). Solve -y*j = o + 5, -o = -70*j + 65*j + 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4198967 divided by -6?\nAnswer: -4198967\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13317, -26721, -40123, -53523, -66921?\nAnswer: -80317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*385.\nAnswer: 115.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19910.\nAnswer: 2, 5, 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*i**2 - 1 + 1)*(3648 - 2081 - 1837).\nAnswer: -1890*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1068 + -1068.02478. Round b to three dps.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 14*z**2 + 16*z + 9. Let n be q(13). What is the highest common divisor of 6 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -252*c**2 - 126*c. Let p(w) = -w**3 + 2*w**2 + w. What is -2*a(x) - 252*p(x)?\nAnswer: 252*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qee when three letters picked without replacement from {e: 2, q: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 29 - 215?\nAnswer: -1a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27087953, 54175888, 81263817, 108351740, 135439657, 162527568, 189615473?\nAnswer: 216703372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9070 + -18185\/2. Find the common denominator of y and 9\/895.\nAnswer: 1790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - ((0 - -1 - -5 - 18) + 3).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 8:34 AM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 1\/3, -2, -23973?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*a**3*f**4 + 9207054*a**3 + 1473259*a*f**4 + 2*a wrt f?\nAnswer: 48*a**3*f**3 + 5893036*a*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -642, -1280, -1912, -2538?\n\"Answer: 3*x**2 - 647*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 103 - 103.009. Let k = w + 9.009. Sort -0.4, k, 2\/3 in decreasing order.\nAnswer: k, 2\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 442506888 divided by -6.\nAnswer: -73751148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/5 (b) 0 (c) -1\/391 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 732.846 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 546 + -514. Calculate the highest common divisor of p and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l + 2 + 381*l**2 + 1 - 313*l**2. What is the remainder when 482 is divided by z(1)?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -129? (a) -85 (b) -0.05 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 14. Suppose 3*s + 3*a = 2 + i, 2*s = -4*a + 6. Solve 1 = s*g + 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 50?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136, -292, -448, -604?\nAnswer: -760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -3\/5, -4\/7, -6\/71, 1\/5?\nAnswer: -6\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 17c?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -168 or -364585\/2176?\nAnswer: -168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-18)\/w**(-34))**(5\/8) assuming w is positive.\nAnswer: w**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -92172b8?\nAnswer: 92172bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -148*o**3 + o**2 - 26*o - 26. Give a(-1).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 45 = 363. Suppose -u - 29 = -3*t - 4*l, -4*t = -5*l - 68. Calculate the greatest common divisor of t and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-4)*h\/(h*h\/h**(-3\/7)))\/(h**(-1)*h*h*h\/h**(-3\/11)*h) assuming h is positive.\nAnswer: h**(-593\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1664 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7358705715?\nAnswer: 3, 5, 83, 5910607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 402700?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -18. Solve 0 = 2*w + 2 + v for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 10) in base 9?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 814*o - 818*o - 4*g - 20 = 0, 13*o + 4*g + 65 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -19*a - 1. What is the units digit of g(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 - 64 = -7*y. Let z be ((-357)\/(-28) - 12)\/(6\/y). Solve -z*c - 7 = -0*c - 3*t, -c - t = 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -22*v**2 - 258*v + 1366. Calculate i(5).\nAnswer: -474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 2*u**2 + 7. What is p(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*l + 8 = l, -33 = -3*f - l. Suppose 2*v = v + f. Is 5 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -808, -1080, -1352?\n\"Answer: -272*u - 536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 12997964.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.3 * 0.2.\nAnswer: -1.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 0)\/((-1)\/(-2)). Let j = 0 + p. Find the third derivative of 2*b**4 + b**2 - j*b**4 + b**6 wrt b.\nAnswer: 120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(-1\/4)\/b))**2\/((b*b*b*b\/(b**(5\/3)*b))\/b*b*b*(b**(-2\/3)\/b)\/b) assuming b is positive.\nAnswer: b**(29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 11\/3, 3\/2, -3, 5, 9835 in decreasing order.\nAnswer: 9835, 5, 11\/3, 3\/2, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 2)*(l**4 + 4*l**2 - 4*l**2) - 2*l**4 - 2*l**3 + 2*l**3 to f + x*l**3 + y*l**2 + p*l + o*l**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.29534 decades in centuries?\nAnswer: 0.729534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -433422 - -433466. Factor d + 128\/3*c - 4\/3*c**2.\nAnswer: -4*(c - 33)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*y - 1 = -9, -2*r - 2 = -2*y. Solve -d = -5*d + 2*l + 12, 0 = 5*d - r*l - 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z - 7*z + 2*z + (-1 - 2 - 1)*(0 + 0 - z) + (0 + 1 - 7)*(3*z - 26 + 26) + (0*z - 2*z + z)*(1 - 1 + 1).\nAnswer: -20*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 25 - 26. Let t(h) = 6*h**3 - h**2 - h - 3. Let j(x) = 7*x**3 - x**2 - x - 2. Let s(b) = -4*j(b) + 3*t(b). Determine s(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 7 = 6*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v + 372 + 241 - 49 + 97 to b*v + c and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4188*d**4*o**2 + 2*d**2*o**3 - 281308*o**3 wrt d.\nAnswer: -16752*d**3*o**2 + 4*d*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46201 - 16284. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - b**2 - 7*b + 7. Let c be f(3). Solve -2*v + c - 8 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67 + -66. Solve -4*a = l - 21, -4*l + 3 + w = -4*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 269361*p**3 + 334*p - 334*p.\nAnswer: 269361*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x**3 - 47*x**2 - 228*x - 92. What is d(-8)?\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32991087 and 29526?\nAnswer: 2109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + 26 - 3) + (16 + -16 - -23)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 + -31. What is the nearest to i in -3, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/18 + (-230)\/(-18). Let r(w) = -w**3 + 15*w**2 - 18*w - 6. List the prime factors of r(z).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -5*u**3 + 3*u**2 + 3871*u - 3874. Give p(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(2\/(-2)))\/(5239\/(-403)*(-4)\/(-1118))\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: 10019268 - -40\nAnswer: 10019308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 0*j**2 + 3*j**3 - 6*j**2 - 2*j**3 + 6*j. Let a be z(4). Let m = a - -11. Solve 4*x + c + 11 = -0, -3*x - m*c - 15 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130.41 + 26721.607516.\nAnswer: 26852.017516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 34. Let q = -86 + 8. Let w = m - q. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, v: 4}. What is prob of sequence vqq?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -20653.8093 rounded to the nearest 10?\nAnswer: -20650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = n. Suppose n = -k - k - 14. Let j(p) = -p**3 - 6*p**2 + 6*p. What is the units digit of j(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 + 7 = 5*z. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 790254 + 5?\nAnswer: 790259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -146 - -726.3\nAnswer: 580.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3*s**4 - 5)*(-47*s - 526*s - 130*s) - 4*s**5 + 5*s**5 + 0*s - s.\nAnswer: 2110*s**5 - s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 15*k + 150. Does 6 divide q(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 4*t**2 - 3*t - 16. Let u be j(-7). Let q = 147 - u. Which is the second biggest value? (a) -6 (b) 5 (c) q (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.288577 litres to millilitres.\nAnswer: 7288.577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 75963 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a minute in milliseconds?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h + 8. Let d be s(-6). Let t(b) = b**3 + 16*b**2 + 16*b + 11. Let l be t(-15). Is d > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2850.4*-4\nAnswer: 11401.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 438017482*j*z**2 + 167622*j*z - 7*j + 6*z - 2 wrt z.\nAnswer: 876034964*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7368 * -9.2\nAnswer: -67785.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 233919.\nAnswer: 1169595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11193 and 2171442?\nAnswer: 2171442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-296)\/16 + 7 + (-2)\/4. Is (-3*69)\/(g\/8) - -1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 - 98 - 129 - -121?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.6529 rounded to two decimal places?\nAnswer: 3.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 946 a factor of 6174453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = -20 + 2. What is the third derivative of 30*z**3 - 41*z**w + 14*z**2 + 22*z**2 + 9*z**3 wrt z?\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/8 - (4 + 38\/(-4)). Let i(w) be the third derivative of 0 + 0*w - 1\/1050*w**7 + 3*w**2 + 0*w**6 + 0*w**h + 0*w**3 + 0*w**4. Factor i(c).\nAnswer: -c**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14699 - -14704. Suppose 0 = -4*b - 5*y - 21, 2*y + 6 = b + y. Sort -1, b, q in descending order.\nAnswer: q, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i - 17*i = -141. Let p = i - 46. Let g(j) = -24*j**3 + j**2 - j + 1. Calculate g(p).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n*q**3 + n*q**2 + 94934*n*q + 5*n - 2393*q**3 + 375*q**2 + 7*q - 1 wrt q?\nAnswer: 6*n*q + 2*n - 14358*q + 750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - l**2 - 1 + (4 + l - 4)*(-26*l + 0*l - 27*l) to the form g + t*l**2 + i*l and give t.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 - 8 + 5)*(5*s**2 - 4*s**2 - 3*s**2) + 12*s**2 - 59*s**2 + 12*s**2 to the form f + l*s + h*s**2 and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: (-45 + 32 - (-1 + -5)) + -9\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 175, 172, 169, 166, 163?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2079? (a) 1\/3 (b) -1 (c) 3 (d) 228\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49\/68 + 1\/34. What is the fourth smallest value in 4, -5, -54, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -598, -54, 2\/9, -1, -2.\nAnswer: -598, -54, -2, -1, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 4*v + 13*v - 4246. Which is smaller: 198 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 38\/17*o + 6\/17*o**4 + 2\/17*o**3 - 12\/17 - 2*o**2 = 0.\nAnswer: -3, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 20122264?\nAnswer: 20122261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 + 0*p**2 + 2*p**2 - 34)*(0*p**2 + p**2 + p**2).\nAnswer: 4*p**4 + 8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**5\/9 - 381952*h**4\/3 + 1145860*h**3\/3 - 3437584*h**2\/9 + 127318*h.\nAnswer: -2*h*(h - 1)**3*(h + 572931)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 + 6\/42 + (-80)\/(-28) + 4902.\nAnswer: 2, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 367*b**2. Let c(z) = -570829*z**2. Calculate c(d(w)).\nAnswer: -76884387181*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8198 is divided by 1280.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 526*c = 79 - 494 - 324 - 313 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2148\/126*6 + (-2)\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c - 1. Give d(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2 - 8*w - 18. Let u be b(6). Suppose u*f = -7*f - 182. Put -5, 5, f in increasing order.\nAnswer: f, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 83 - 60. Suppose p*y = 22*y + 30. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of 2*u**5\/5 - 6*u**3 - 4*u**2 - u. What are the prime factors of z(-5)?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -5*p - 11, -5*z - 4*p - 3 - 11 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1954 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h**2 + 5*h - 2*h - 3*h as b*h + o*h**2 + i and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*b + 57281 - 55681 = 0 for b.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 - -93\/4. Suppose 4*w + 10 = -2*p, -3*p + 3 = -w + 18. Which is bigger: w or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 848437794 to the power of 1\/2, to the nearest integer?\nAnswer: 29128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -2*l - 4*i - 36, l = 4*i + 15. Calculate the highest common factor of 35 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**2 + 29*b + 8. Calculate h(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 523 - 504. Suppose i*y - 8*y - 275 = 0. Calculate the greatest common divisor of 400 and y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 o when four letters picked without replacement from {e: 8, o: 5}.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*l - 28*l - 27*l.\nAnswer: -65*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 8.8, -4, -165090?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 10*b**3 + 4*b**2 - 7*b. Let q(c) be the first derivative of 29\/4*c**4 - 10*c**2 - 25 + 11\/3*c**3 + 0*c. Calculate 17*f(p) - 6*q(p).\nAnswer: -4*p**3 + 2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -171 + 1762?\nAnswer: 1571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1096 - 1096. Which is the nearest to s? (a) -1\/8 (b) 2\/131 (c) -5 (d) 0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/7 - 3932*z\/7 - 1932578\/7.\nAnswer: -2*(z + 983)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o + 2. Suppose 0 = 5*z + 4*u - 1, 5*z + 5*u = -5 + 10. Let k be g(z). Solve k*j - 6*j - 2 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1160600)\/(-210) - 2\/(-6). Suppose 0 = -2*u + 17*x - 18*x + 2211, 5*u + 2*x - l = 0. List the prime factors of u.\nAnswer: 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1705 (b) -1 (c) 0.03 (d) -15\/4 (e) 0.1 (f) 1.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -63145103 divided by 1?\nAnswer: -63145103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/12)\/((-2)\/12). Suppose -35 = -t*h + 3*g, 0*h - 5*g - 5 = 4*h. Solve h*f - 25 = 5*w, 6*f - 2*f + 4*w = 4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37130 divided by 790\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-6*4*(-6*-2*sqrt(180) - (0 + sqrt(180) + -1 + sqrt(180)))**2.\nAnswer: 8640*sqrt(5) + 1296072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rkmr. What is prob of sequence mr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/16)\/(32\/128).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1341, 2672, 4003, 5334, 6665, 7996?\n\"Answer: 1331*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 403 - -465. What are the prime factors of i?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 802 >= 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4674.24 + -23.24. Let h = -4650.5347 + x. Let l = h - 0.434. What is l rounded to 3 decimal places?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -265 (base 15) in base 3?\nAnswer: -202012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -0.03, -3\/4, -0.1?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6686292493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, k: 15}. Give prob of picking 4 k.\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from ycnlnnnnnn?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -9\/46, 0, 1\/2.\nAnswer: -9\/46, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 8:44 AM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107073 - 110757 = -307*k for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h - h + 0*h + 4 + 2.\nAnswer: -9*h + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1797 - -896. Let n = -899 - r. Calculate the highest common factor of 118 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1468\/15 + 24373\/240. What is the common denominator of s and (-4)\/(-6) + (-430)\/24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -66 - -69. Suppose -4*t + 3*t + 16 = a*m, 3*t = -15. Solve 11 = l + m for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 541823485 and 9444.3.\nAnswer: 541832929.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, d: 2, n: 1, a: 2, x: 2}. Give prob of sequence dx.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29? (a) -4 (b) 2 (c) 0.5 (d) 0.197686\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1976885 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2415 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*x + 81*x + 5592 = 0. Are x and 463 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f + 264. What are the prime factors of i(0)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50163\/14084 - 49\/503. Calculate the common denominator of l and -103\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6900, -13796, -20694, -27594, -34496, -41400, -48306?\nAnswer: -55214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -128, 1, -81, -30, 5.\nAnswer: -128, -81, -30, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 150429.9 weeks in microseconds?\nAnswer: 90980003520000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 divided by -7?\nAnswer: -50\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44.5 - -45. Sort -4, s, 6, 0 in increasing order.\nAnswer: -4, 0, s, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a + p + 11, -4*a - 3154 + 3164 = -5*p for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2 + a + 11. Let h be o(-5). Let s = h + 225. Suppose s = 4*c + 21. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 13*i + 22. Give k(-15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 4:07 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32301, 64599, 96887, 129159, 161409?\nAnswer: 193631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*m*m**(1\/3)))\/m)**(-20))**(2\/23)\/((m**(-2\/7))**(-47)*(m*m*m\/(m**(-2\/3)\/m))**(-2\/9)) assuming m is positive.\nAnswer: m**(-36226\/4347)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100 - -10001100010011?\nAnswer: 10001100000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 7 = 2*s - 3*g, 4*s = -4*g + 4. Let t(q) = q**s + 0*q**2 + 0*q**2. Let o(n) = -9*n - 10*n + 2*n**2 + 19*n. Calculate o(t(k)).\nAnswer: 2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b**2 + 2. Let j(h) = h. Let g be j(-6). What is the least common multiple of (g\/(-4))\/((-6)\/(-16)) and p(2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 864981988 to the power of 1\/5, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -59 + 58.6. Which is the second biggest value? (a) -0.3 (b) -4 (c) -0.05 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -47 (b) -59 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*g**2 - 297*g + 15*g**2 + g**3 - 2935583 + 2935584 to the form w + c*g**2 + j*g + t*g**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of j**6\/120 - 11*j**5\/20 + 15*j**4\/8 + 29*j**3\/6 + 213*j**2. Is 35 a factor of t(32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -894*u**2 - 14*u + 14. What is h(1)?\nAnswer: -894","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m + 2*s - 8740 + 8750, 2*m = 3*s - 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 56*q**3\/3 - 2*q**2 - q - 22. What is the remainder when m(-1) is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a1 (base 15) to base 16.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 2285619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 3)*(-f + 2*f - 2*f) - 6*f - 22 + 56 - 15.\nAnswer: -7*f + 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 13*h**3 - 2*h**2 + 9*h + 137. Determine n(-6).\nAnswer: -2797","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -359.723417 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 55\/10 - 2\/4. Suppose -g*j - 72 = -217. What is the remainder when j is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -12, 11, -91\/3?\nAnswer: -91\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4372, -1, 0 in decreasing order.\nAnswer: 0, -1, -4372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9513665, -9513681, -9513707, -9513743, -9513789, -9513845?\n\"Answer: -5*c**2 - c - 9513659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 + 6660280*y - 13320540.\nAnswer: -5*(y - 1332054)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1032034 (base 5) to base 3\nAnswer: -220101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 103 = 4*j, -4*j - 5*o = 806955 - 806828 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + l + 1. Let s(a) = -108001*a**2 + 8*a - 2. Let f(o) = 2*j(o) + s(o). Let p be f(-10). What is p rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - p - 8 + p + 7*p + 4*p. Let f be q(9). Suppose 5*x**4 + 14*x**4 - 33*x**3 - f*x**4 + 24*x**2 + 12*x = 0. Calculate x.\nAnswer: -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*g, -2*b + 5*g - 7*g + 32 = 0. Solve 0 = 3*h - c - 3, 0 = 5*c - b - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (373 + -22)*(-2)\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a century in months?\nAnswer: 12960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube 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(s) be the third derivative of s**5\/6 + s**4\/4 + 5*s**3\/3 - 10*s**2 - 5. What are the prime factors of l(-8)?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m + 65196 = 45092 - 55706. Is m a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 8:54 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 7999*a - 8063*a + 7*a**2 + 4*a**2 as q*a**2 + w*a + t and give w.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2 - 6*o + 7. Let s be l(2). Solve 2*n + 9 = s for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**3\/3 + 14*l**2\/3 = 0?\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1102227 is divided by 331?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -64*h**2 + 2*h. Let s be x(-1). Let a = 71 + s. Let i(c) = 6*c**2 - 9*c + 7. Let p(d) = -d**2 + d - 1. Let u(k) = -i(k) - 5*p(k). Give u(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 222, 411, 574, 699, 774, 787?\nAnswer: 726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = f - 3*s, 3*f + 2*s = 8 + 5. Let r(d) = -d + 7 - f + 1 + 1. Calculate r(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + h - 77 = 0, -3*t - 6 = 2*h - 55. Let q be t\/2*(-4)\/(-3). Let w = 41 + 9. What is the highest common factor of q and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 127\/5 (b) -0.3 (c) 0.3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yck when three letters picked without replacement from {c: 1, y: 1, i: 1, j: 5, a: 4, k: 3}.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 286028063, 286028066, 286028069, 286028072, 286028075?\n\"Answer: 3*f + 286028060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 96\/(-264) + 324\/44\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4377 - 26426*j - 2204 - 2173 in the form w + f*j and give f.\nAnswer: -26426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -3\/2, -0.2, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + -187 - 1\/(-1). Let h = 121125131\/658512 + -5\/41157. Let j = h + b. Find the common denominator of j and 107\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 4 + 2. Suppose -2*w + 4 = -b, 2*b = z + 2. Suppose -4*k + 19 = w*u, 4*u + k = 6*k - 16. Does u = 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 52\/5 of a microsecond?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 6) to base 15\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 99*m**3*r**3 - 2*m**3*r + 4*m**2*p*r - 2*m*p*r**2 wrt r.\nAnswer: 594*m**3*r - 4*m*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 42420 to the power of 1\/2, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2207842\/391 or -5648?\nAnswer: -2207842\/391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 25, -3*o - 5*t = -4 - 30. Suppose 0 = 3*g - 2*w + 7, g - 2*g + o*w - 7 = 0. Let c = 72 + g. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46060571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from vvpvppv.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 252 - 506. Let t = 402 + n. Calculate the lowest common multiple of t and 2\/(-3) - (-248)\/12.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/30*117\/(-390)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of 0*f**7 - 2*f**2 + 11\/336*f**8 + 0*f**6 + 0*f**5 + 0 + 0*f + 3\/8*f**4 + 0*f**3. What is the second derivative of c(w) wrt w?\nAnswer: 220*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10 and -116.6?\nAnswer: 106.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 472\/(-152) - (-8)\/76 - -11582 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3063106*r**3 + 1732287*r wrt r.\nAnswer: -18378636*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -310 divided by 1?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3543 - 1?\nAnswer: -3544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -31.88, -2\/11 in decreasing order.\nAnswer: 2, -2\/11, -31.88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pcdppvdpdbdrpdb. What is prob of picking 2 d, 1 v, and 1 r?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 11*a**2 + 15*a - 3. Let i(x) = -5*x**2 - 7*x + 2. Suppose -763*t = -921*t + 948. Calculate t*n(l) + 13*i(l).\nAnswer: l**2 - l + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/10 (b) -88 (c) -0.1 (d) -0.007 (e) 4 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 18. Sort t, -2, 2 in decreasing order.\nAnswer: 2, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*i - 4571 + 4541 - 15*i)*(6 + 2*i + 8 - 20).\nAnswer: -84*i**2 + 192*i + 180","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -505643 - 4?\nAnswer: -505647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1380 is divided by 44?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 365, 1\/8, 0.1, 10, -105, -0.5.\nAnswer: -105, -0.5, 0.1, 1\/8, 10, 365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 30\/(-405)*-3*3. Does w = 1299?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*j - 2*j. Suppose -4*w + 5 = 2*q - 3, j*q = 3*w - 6. Let p be (-13)\/4 + 3 + 0. Is p less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1010\/(-775) - -1)\/(272\/(-85)) and 7\/20?\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x - 4. Let k(q) = 4*q - 3. Let y(n) = -2*k(n) + 3*l(n). What is y(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1514 is divided by 372.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -102002 (base 3) to base 7\nAnswer: -605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 6, 5 in descending order.\nAnswer: 6, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + q**2 + q - 2. Let j be m(-2). Suppose p = 5*p - 0*p. Solve -4*a - j - 4 = p for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4*(-39 - 0) - 4?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1110021 (base 3) to base 5\nAnswer: 13220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/4*(8 + -17). Let b = v + 215. Is 3 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 34*q**2 - 89*q - 1. Calculate j(-36).\nAnswer: 611","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Round 1.516183 to 2 decimal places.\nAnswer: 1.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of 29*g**8\/336 - 17*g**7\/210 + 367*g**4\/6 + 693*g**2. Find the second derivative of a(m) wrt m.\nAnswer: 580*m**3 - 204*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 18*c**2 + 26*c - 21. Let p be k(19). Calculate the highest common factor of p and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20876 and 40052.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*d - 92 = -d, 0 = -l - 5*d + 47. Is l greater than 70?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22285795 is divided by 360.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 580906 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: Expand 58*m**2 - 18*m**3 - 58*m**2 + (0*m**2 - 2*m**2 - 3*m**2)*(3 + 2*m - 3).\nAnswer: -28*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3\/2 (b) -1\/5 (c) -30 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*b - a, -a + 5 = -5*b - 5*a. Solve -4 = -k - b for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (4 + 1 + -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 5:22 PM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -5*r**4\/2 + 2*r**3\/3 + 41*r. Find the second derivative of k(m) wrt m.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*x**3 + 255 + 259 - 516 + 46*x**3 to the form d*x + v*x**2 + y*x**3 + f and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72, 145, 218, 291, 364, 437?\nAnswer: 510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-1 + 2 + -9 + -1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 569 - 560. Suppose 0 = 2*n - n - 2. Let z = n + u. What is the remainder when 29 is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 566965145 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-12) + (-16)\/(-6). Suppose -2*q + 5 = t - 0*t, -5*t = -4*q - 11. Suppose 3*r + u + 24 = 4*u, 2*r + 28 = 5*u. Put v, r, q in ascending order.\nAnswer: r, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i*i*i*i**5*i*i**(1\/8)*((i\/i**3)\/i*i)**18 assuming i is positive.\nAnswer: i**(-207\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 138, -1335, -88 in decreasing order.\nAnswer: 138, -88, -1335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 671812769 or 671812770?\nAnswer: 671812769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 527 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 12:20 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 7:59 AM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 13*k + 78. Give h(-9).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6577818 is divided by 1056?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6323160 and 1725.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 2*b + 2*b)*((-3*b + 3*b - 2*b)*(5 - 1 - 3) + 6*b - 5*b - 4*b - 1 + 4*b + 1).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -451*b. Let y(z) = 5*z. Give -2*l(g) - 154*y(g).\nAnswer: 132*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -2584*w**5\/5 - 615*w**2 - w + 3318. What is the second derivative of j(a) wrt a?\nAnswer: -31008*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95868623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 128 and 108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a**2 - 4*a - 45. Let q be z(-14). Differentiate q*t**2 - 49 + 17 - 798*t**2 with respect to t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*n = -7*n - 1592 - 828 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -114 - -108.9. Let m = -0.1 - u. Let a = -3.07 + 0.07. Put m, a, -4 in ascending order.\nAnswer: -4, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*d - 613 = 98 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 m when four letters picked without replacement from nhzknhzkkzzmmnz.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of x**4\/78 - 5*x**3\/13 - 16*x**2\/13 + 71*x. Factor v(l).\nAnswer: 2*(l - 16)*(l + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 99*r**3 + 7*r**2 - r + 9. Let n(o) = -298*o**3 - 19*o**2 + 3*o - 24. Calculate 3*n(k) + 8*v(k).\nAnswer: -102*k**3 - k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 5:09 AM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 45*u**3 - u**2 + 1. Let y be s(-1). Suppose 16*v - 20*v = 36, 0 = -k - 3*v - 71. Is y not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 5579.674mm?\nAnswer: 0.005579674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71, 130, 175, 200, 199, 166, 95?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 5386, -0.246?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**4 + 3*r**4 - r**5 + (r**4 - r**4 + 2*r**4)*(-4*r - r + 4*r) - r**5 + r**5 - 2*r**5 + (r - r + r)*(r**4 - 6*r**4 + 0*r**4).\nAnswer: -10*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3420631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h**3 - 12*h**2 - 2*h. Let g be n(-4). Let z = g - -423. Calculate the remainder when z is divided by (-81)\/(-5) - (-2)\/(-10).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 1:05 PM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47 + 50.8. Let q = -0.3 + 0.5. Let s = q + f. Which is the third smallest value? (a) 2\/3 (b) s (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2 - 4)*(-2*d**2 - d**2 + 2*d**2) + 3*d**2 - 2*d**2 + d**2 - 25*d**2 - 32*d + 1 - 16*d + 53*d as c*d + q + n*d**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/8*8\/2*550\/(-100).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 6:25 PM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - z - 2*z + 9, -2*z = -10. Let p be g\/1 - (6 + -8). Suppose u = 5*s + 188, p*u + s + 331 = 2*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-87032)\/(-2838) - (-2)\/(-3)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7\/(-98) - (-2024)\/112. Find the second derivative of 1 + d*b + 31*b**2 - 22*b**3 - 27*b**3 - 29*b**2 - 13*b**3 wrt b.\nAnswer: -372*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2162710 is divided by 198.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 16*t - 25. Let a be h(14). Solve a*g = -2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67697 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/14 - 3\/7)*-7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, f: 1, c: 1, g: 1}. Give prob of picking 1 c and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of r**4\/4 - 5*r**3\/3 - 3*r**2 + 2*r - 1. What is the units digit of m(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43646 less than -217099629?\nAnswer: -217143275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 188, 507, 998, 1679, 2568, 3683?\nAnswer: 5042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 11d (base 14) to base 10\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*c = -54*c + 2*q - 6026, 2*c - 2*q - 4034 = 0. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/7 (b) -2\/3 (c) -5 (d) -981\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w**2 + 41*w - 41*w - 3*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -4 + 6 - (7 + -14).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, a: 1, e: 4, h: 1, f: 4}. What is prob of picking 1 z and 1 e?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6\/11, -1, 18, 37, 1, 1\/7, 0.66?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ijagk. Give prob of sequence jk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, z: 2, o: 4, v: 8, p: 4}. Give prob of sequence jp.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 72015 - 7?\nAnswer: 72009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.9113+50\nAnswer: 49.0887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -243\/2 and 11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 10*g - 42. Let k(q) = -q**2 + 18*q + 3. Let o be k(18). Suppose r + h - 4 = 0, o*h + 26 = 5*r + 2*h. List the prime factors of j(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -160 (base 7) in base 11?\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 6*o + 2. Let d be u(6). Suppose -5*x + 5*z - z - 27 = 0, -39 = 5*x + d*z. Let t(a) = -5*a - 5. Is 10 a factor of t(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a - a**2 - 7 - 4 + 10. Let m be j(-2). Sort m, 4, 0.3 in ascending order.\nAnswer: m, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y + 4*y + 5*y**2 - y**2 + 4*y**2 - y**2 + (-3*y + 3*y**2 + 3*y)*(1 - 1 + 1).\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v. Let k(g) = 24*g + 16*g - 28*g. Calculate m(k(l)).\nAnswer: -24*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -101, -88, -61, -14, 59, 164?\n\"Answer: f**3 + f**2 + 3*f - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*13\/169 - -2. Let z be (-4)\/(-6) - 40\/6. Which is the nearest to k? (a) z (b) -5 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 5*g + 4. Let q be (-27)\/(-12) + (-3)\/12. Suppose 2*j - 24 = -q*j. What is the remainder when s(j) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*a**2*l**4 + 153155*a**2*l**2 - 7*a**2*l + 8*a**2 + 5*a - 1594 wrt l.\nAnswer: -216*a**2*l**2 + 306310*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200 + -222021102121002?\nAnswer: -222021102121202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*r + 4*g, r + 0*r + 4*g = 24. Suppose -1 = 3*w + w - 3*b, w - 2*b = -r. Solve 3 = 5*h - w for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -354*u**5 - 22*u wrt u?\nAnswer: -7080*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2427, 421\/12, -4, 4, -4\/7?\nAnswer: 421\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/31)*p**17*p assuming p is positive.\nAnswer: p**(556\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 776 - 754 = -5*w - 2*q, 5*w + 211*q = -1276 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 502 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uq when two letters picked without replacement from {q: 5, u: 8}.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 0*s + 2*s)*(3 - 3 + s**2) - 5*s**2 - 43*s + s**3 + 43*s.\nAnswer: 2*s**3 - 5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -18, -3, 5, 1, -2\/9, -15?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*20\/120*8*(-45)\/(-42).\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 8229147?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 567, -3\/4, 1, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21696*g*j**2*v**3*y - 3*g*j**2*v*y + 2437*g*j**2*v + g*j*v**2 - 25*j*v**3 wrt y.\nAnswer: 21696*g*j**2*v**3 - 3*g*j**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -27*g**2 - 4*g. Let a(z) = -55*z**2 - 9*z. Let v(h) = -4*a(h) + 9*i(h). Let x(l) = -4*l**2. Give v(x(q)).\nAnswer: -368*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4455 is divided by 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -316348 times 7?\nAnswer: -2214436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*g - 23*g + 16 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fzfffzfmfmfa. What is prob of sequence zmzf?\nAnswer: 7\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3 - 17 + 2*o + o + 3*o**2 + 2 - 13*o**3. Let x(c) = 25*c**3 - 5*c**2 - 5*c + 23. Let l(n) = -5*p(n) - 3*x(n). Differentiate l(k) wrt k.\nAnswer: -30*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -63*r**2 - 5*r - 5. Let l(f) = -94*f**2 - 7*f - 7. Determine -7*c(s) + 5*l(s).\nAnswer: -29*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ksskkskdsss. What is prob of sequence sd?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 110101?\nAnswer: -110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -848751 (base 11) to base 4.\nAnswer: -11023222323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 15*k + 19 + 5*k**2 - 4*k - 102 - 7*k. What are the prime factors of q(-10)?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 161 (b) 5 (c) -3131\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/9)\/(((-8)\/30)\/((-348)\/(-145)))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -34, 0, -1.2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 950*f + 53. Let j(s) = -s + 11. Calculate 5*j(d) - o(d).\nAnswer: -955*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen halves of a century?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -69\nAnswer: -13.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2623387870 to the nearest integer?\nAnswer: 1379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44816 is divided by 11188?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 2*h + 2. Suppose -5*t + 8 = -2. Let j be z(t). Suppose j*l - 2 = -6. Is -1 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 90294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3942919781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 372160 (base 8) to base 13\nAnswer: 4640a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2*-7751207\nAnswer: 15502414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -992558 divided by 513?\nAnswer: -992558\/513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 19*x = 200. What is the greatest common divisor of x and 38?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.355210983 + -2.3552. What is l rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - 2*x**2 - 5 + 2*x**3 + 21 + x as k*x**3 + l*x**2 + t + u*x and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3936 - 3946. Let d = 1 + 2. Put p, -2, d in increasing order.\nAnswer: p, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 + 121 + 0 - -1?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**5 + 6*a**5 - 2*a**5)*(-2 - 2 - 1)*(2 - 2 - 1)*(3 - 2 + 1).\nAnswer: 10*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/1554 and -33\/20?\nAnswer: 15540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -196, -0.3, -895\/4, -5.\nAnswer: -895\/4, -196, -5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -u**5\/20 + 2*u**4\/3 + u**3\/6 + 4*u**2 + 12*u. Let t be k(7). Calculate the greatest common divisor of 4 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -5. Let n = 14 + g. Let u = n - 7.00000053. What is u rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 + 0)*(-598 + 109 + 246)*(4*s**2 - s**2 - s**2) to the form h + r*s + n*s**2 and give n.\nAnswer: 1458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38)\/80 - 23\/184?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50 - -23. Let r(h) = -18*h. Calculate the remainder when s - (0 - (-4)\/2) is divided by r(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1429\/76 + 440\/57. Calculate the common denominator of o and -9\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 29 + (-8 - 0 - 2) - 4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*g**2\/9 + 407212*g\/3 - 244328\/9.\nAnswer: 4*(g + 61082)*(5*g - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1974 and 77751366.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 5 + 3*g - 1 - 4. Suppose 2*u = 3*u - 12. Suppose -4 - u = -4*b. Let j(s) = 13*s. Determine b*j(l) - 18*x(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2*u = 456, 1 = -5*u + 11. Let o = 225 + w. Calculate the greatest common factor of 28 and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 81*o**2 - o**3 - 82*o**2 + 1 + 6 + 21*o. Let d be h(-5). Suppose 210 + 3229 = 2*m + 5*w, -2*w - 3404 = -d*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2262 - -1310. Let m = i + 1744. Calculate the common denominator of 9625\/m + (-4)\/(-18) and -25\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 13*j**2 + 2. Let m be (-3)\/(2*15\/(-130)). Let g be n(m). Suppose q + 957 = x, g*q - 2382 - 469 = -3*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 42*v**2 + 172*v - 1430. Let j(o) = 8*o**2 + 35*o - 286. Let b(k) = 3*h(k) - 16*j(k). Differentiate b(q) with respect to q.\nAnswer: -4*q - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 18, 124, 420, 1002, 1966?\n\"Answer: 16*d**3 - d**2 - 3*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.342706 to 1 dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 5*f - 152, -156 = -2*q + f - 4. What is the greatest common divisor of q and 456?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 68189967?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -892? (a) 2.57 (b) -4 (c) -1 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 189444 and 2220?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 37835129 to the power of 1\/2, to the nearest integer?\nAnswer: 6151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**3 + 6*a**2 - 9*a + 6. Let q be k(6). Let o = -2097\/8 - q. Find the common denominator of o and 73\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8 - 1) + -3 + 1. Let u be (-3)\/((25\/(-15))\/f). What is the units digit of ((-27)\/12)\/(u\/(-240))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.488 - 0.43. Let t = -0.442 - b. What is the closest to -7 in -5, -0.3, t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 13) in base 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f - 22. Suppose 21 = 3*x - 0*v + 3*v, 40 = 4*x - 2*v. Calculate u(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15182132 is divided by 32.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - 1) + 2 - (-13 + (-19 - -15)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 217329 - -227317423.\nAnswer: 227534752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a kilometer in centimeters?\nAnswer: 48000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 665747 (base 8) to base 14\nAnswer: 5ba07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4019749*b**4 - 2*b**2 + 41*b*j + 8544135*j + 18 wrt b.\nAnswer: -16078996*b**3 - 4*b + 41*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 18*t**2 - 28*t + 1. Let o be i(4). Let q = 198 - o. Calculate the greatest common factor of 77 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/16)\/(1\/(-2)))\/(262\/262)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 507\/12 + (16 - -7 - (-3850)\/(-200)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2541, 10341, 23351, 41571, 65001, 93641, 127491?\nAnswer: 166551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 3*f**2 - 7. Let a(j) = j**3 + 2*j**2 + 8. Determine 3*a(x) + 2*n(x).\nAnswer: x**3 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from {j: 4, x: 3, y: 11}?\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 2 = -2*f. What are the prime factors of 2*(-46)\/(f - -2)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-4)*(-4)\/3. Let h be -1*0\/(w\/(-1)). Suppose h*t - 2*t + 5*y + 27 = 0, -5*t = 2*y + 5. What is the greatest common divisor of t and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.076 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sooqjojkkoojjok. Give prob of sequence ojk.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -335.5043 and -82649.17.\nAnswer: -82984.6743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 1. Let x(s) = s - 5. Let y(r) = -18*t(r) + 2*x(r). Let b be y(12). Let w = b + 5. Let a(k) = 3*k - 1. What is a(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**2 + 17*z**2 - 12*z**2 + z to the form c*z + n*z**2 + k and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 - s**2 + 5*s**2)*(-1 - 4 + 0 + (5 - 3 + 0)*(-5 + 2 + 1) - 1 + 0 - 2 - 3 + 0 - 1).\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 5*i**2. Let y(b) = -6876*b**2 + 2195*b**2 + 2241*b**2 + 2314*b**2. Determine y(s(q)).\nAnswer: -3150*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1692 = 39*k - 1428. Suppose 3 = i, -i = 4*y - 9*y + 897. What is the highest common divisor of k and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 - 1 = 2*v. Let n = v + -14. Which is the nearest to 1? (a) n (b) 5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -3*w**3\/5 - 108*w**2\/5 - 132*w\/5 + 2448\/5 = 0.\nAnswer: -34, -6, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 477569159?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1865*p**2*t**2 + 242*p**2*t - 22*p**2 + 14*p*t**3 wrt t.\nAnswer: 3730*p**2 + 84*p*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 136 and 8347.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/135 and 26\/705483.\nAnswer: 3527415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 172661 + -172544. Let t(v) = 9*v. Let p be t(1). What is the highest common factor of p and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 600 + -454. Let w = -1 - -5. Suppose -2*a + 4 = 0, 0*a + o = w*m - 5*a. Calculate the remainder when m is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 150 and 24?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3844 = 159*j - 4106 for j.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) - sqrt(98)*-3)**2 - sqrt(2)) + sqrt(2) + (sqrt(2)*1 + 0)**2.\nAnswer: 1570","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -14*i**3 - 3*i**2 + 2*i - 3. Let y be h(-3). Suppose 0 = 5*s - 3*v - 1271 - 1282, -3*s = 3*v - 1503. Let l = s - y. List the prime factors of l.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by ((-10)\/(-5))\/((-2)\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 129282*w**4 - 115763?\nAnswer: 517128*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3*-3*(sqrt(2) + (-1*sqrt(16))\/sqrt(8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-3)*u*u\/u**(-36)*(u**26)**(-18) assuming u is positive.\nAnswer: u**(-433)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7869907.17 rounded to the nearest ten thousand?\nAnswer: 7870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 303*x + 168 = -154 + 19 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/4 and -101\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(208)*-6)\/(sqrt(64)*2).\nAnswer: -3*sqrt(13)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b - 4. What is u(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 116330108 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2210.4 and -1.\nAnswer: -2210.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 441*w - 30*w + 372*w + 16*w + 63920 = 0 for w.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/24*1*1. Let f = 3 + -3. What is the closest to 0.04 in f, r, 1\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times 4595010?\nAnswer: -45950.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 3:20 AM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 9*f - 95. Give z(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4.1, -3\/8, 0.5 in decreasing order.\nAnswer: 0.5, -3\/8, -2, -4.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1102)\/(-2204))\/(((-6)\/(-100))\/3).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45762385, 91524775, 137287165, 183049555, 228811945, 274574335?\nAnswer: 320336725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 107 + (-9 - 33) + -38\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 78, -3, 4 in decreasing order.\nAnswer: 78, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4477 divided by 37\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 106413 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -t, -c = -20*t + 18*t - 27. What is the remainder when 371 is divided by c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23.8 and 2.\nAnswer: 47.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g + 3*g**2 - 3*g - g**2 + (-1 - g**2 + 1)*(-2 - 1 + 0).\nAnswer: 5*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r - 34. Let d be l(-17). Solve -4*c - 16 = d, 12 = 4*s + 5*c + 36 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -264368.416 to the nearest one hundred.\nAnswer: -264400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -2\/57, -1\/4, -5?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -1\/2, 69, 16, -3, -1?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 825850708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-21)*455\/(-26)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 457 (base 8) to base 12\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 40, 48, 74, 124?\nAnswer: 204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 43367239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3564 and 1134.\nAnswer: 24948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*q = 35*q + 10827. Let l = q - -4886. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - -2*642\/12. Calculate the highest common factor of p and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 30 = -6*b. Let y = 652 - 2607\/4. What is the nearest to b in -5, 2, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -936, -916, -894, -870, -844, -816, -786?\nAnswer: -754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4646.\nAnswer: 2, 23, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71 - ((-5 - (17 - 10)) + (-12 - -46)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3436 (base 8) to base 2\nAnswer: 11100011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 28*j - 30*j, -3*j + 35 = 2*a. Sort 4, 6, a in descending order.\nAnswer: a, 6, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 7123133?\nAnswer: -7123127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - 4 - 5 - 8*a + 8 in the form m*a + v and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1428289861 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -n**4\/12 - n**3 + 463*n**2\/2 + 6*n - 2. What is the hundreds digit of a(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 5*b + 2495, 5*b = d - 0*d - 1260. What is the third derivative of n**4 - n**4 - 49*n**3 - d*n**2 + 1397*n**2 - n**6 wrt n?\nAnswer: -120*n**3 - 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 3*r - 7. Let q be z(7). Suppose q = -4*w + 7*w. Is w*14*(-7)\/(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6288)\/440160*4*-1\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 7 = 5*v. Suppose 5*x - 80 = 5*d, 47 = 2*x + v*d - 5. Calculate the remainder when x is divided by (-11 - 0)*(-1 + 0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -10 (b) 0 (c) 4.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, -2\/9, 3\/13, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 8:52 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/7)\/(-3*(-4)\/(-24))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11557 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -170551, -341107, -511663, -682219, -852775, -1023331?\n\"Answer: -170556*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 33*g - 4*g**2 + 3*g**2 - 22*g + 4. Suppose 3*o = 4*h + 23, -o = -h - 8 - 0. List the prime factors of q(o).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30*v**4 + v**3 - 24*v - 2 wrt v?\nAnswer: 360*v**2 + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((10\/3)\/2)\/(55\/495). Suppose -20 = 5*g, v = 5*m + g + 9. Solve -16\/9*u + 4\/9*u**m + 0 = 0 for u.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-3\/16)*j*j)\/j**(-12))**(-2\/41))**(-22) assuming j is positive.\nAnswer: j**(2431\/164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j + 14*j = -12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -u**3 + 4*u**3 + 0*u - 4*u**3 + 7*u - 6. Differentiate i(m) with respect to m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10660 and 8200?\nAnswer: 106600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57555 = -157*w + 278861 + 47920. What is the greatest common factor of 1088 and w?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (110\/(-572)*-26)\/((-42)\/(-12)).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -415 + 414.9767. What is x rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2665341 to the power of 1\/3, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139118521.\nAnswer: 6131, 22691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 48\/15 - 4\/(-5). Suppose -2*x - w = -s - 3, 4*w + 7 = -x. Differentiate -z + 0*z + 7 + 2 + x*z wrt z.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -6. Let t = -0.0118 + 0.3118. Which is the third biggest value? (a) -1\/6 (b) t (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 410157, 410192, 410227, 410262?\nAnswer: 410297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000014031617707 to seven dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 7137840.\nAnswer: 7\/7137840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 18631024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3312 and 16767?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 551 a factor of 1194687281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 3*z - z)*((-z**3 - z**3 + 3*z**3)*(0 + 0 - 2*z) - 96*z**3 + 96*z**3 - 27*z**4).\nAnswer: -29*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.5 - -1. Suppose -4 - 6 = -5*s. Which is the nearest to -0.1? (a) -2\/9 (b) x (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 978222*k**2 + 5488 - 1956449*k**2 + 978214*k**2 - 5488.\nAnswer: -13*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 20876*f**4 - 7981*f**4 + 6549*f**4 + (-4*f**2 + 3*f**2 - f**2)*(f + 2*f**2 - f) - 3*f - 2*f**4 + 3*f.\nAnswer: 19438*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**4 - 2*j**4 - j**4 + (3*j**3 - 3*j**3 + j**4)*(-3 - 2 + 3).\nAnswer: -3*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94447 is divided by 37?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1310646*h**5 - 32*h**2 + 45*h + 41 wrt h.\nAnswer: -78638760*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.468 in 0.2, -0.22, 3937?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(4800) + 2 - sqrt(4800)) + 1)**2*3 + (sqrt(4800) + -3*(sqrt(4800) + 1) - ((sqrt(4800) - -3*sqrt(4800)) + -3)**2).\nAnswer: -76737 + 880*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 5*k + 19, -3*b - 7*k - 1 = -2*k for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 60 = -4*g. Suppose 9 + 7 - 48*j + 11*j**4 - 7*j**4 - g*j**2 - 60*j**5 + 108*j**3 = 0. Calculate j.\nAnswer: -1, 2\/5, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2 = -0*y. Suppose -y*m = -0*m - 4. Do 4 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -694006, -2776036, -6246094, -11104186, -17350318, -24984496?\n\"Answer: -r**3 - 694008*r**2 + r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*(-1)\/(-15)*(-10)\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -402335035 - -4?\nAnswer: -402335031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 693 - (9 + -3 + -8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (-666)\/(-8) - (-6)\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qffffyyyyqyfqffqy. Give prob of sequence yf.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/8591 and -34\/14839.\nAnswer: 163229","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 19, -45, -0.2 in decreasing order.\nAnswer: 19, 1, -0.2, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1195 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 10 - 4)*(-7 + 13 + 1)*(3*w - 6*w + 4*w)*(2*w + 0*w - 4*w)*(-8 + 8 - 2*w**2).\nAnswer: 168*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3531, -3526, -3521, -3516?\nAnswer: -3511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 + 171*o - 918.\nAnswer: -3*(o - 51)*(o - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -88?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 531568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9*2*2\/12. Suppose 0 = t + p*t + 2*w - 22, 0 = -5*w + 15. Suppose -2*l + 76 = t*k, 0 = -0*l - l. What is the remainder when k is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.545605 nanoseconds in minutes?\nAnswer: 0.00000000024242675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*((-3*sqrt(96) - sqrt(96) - sqrt(96)) + sqrt(96))*-3)\/(sqrt(132)\/(sqrt(55)\/(-3*sqrt(5)))))**2.\nAnswer: 2048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-4))\/(u**(-1\/2)*u*u)*u**(-2)\/u*u**(1\/5))\/((u**(-1))**11*(u*(u**(-1\/5)*u)\/u)\/(u*u**(-1)\/u)) assuming u is positive.\nAnswer: u**(99\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.003364 rounded to 2 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j*j**(2\/3))\/j)**(3\/43)*j**(2\/5)\/j**(-4\/3) assuming j is positive.\nAnswer: j**(1193\/645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2439307 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -58 + (10 - ((14 - -4) + -23))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4139\/2 - 2041. Let w be (-38)\/(-4) + 3 + -2. Suppose 0 - w*o**5 + 3*o - 45\/2*o**3 - 3\/2*o**2 - c*o**4 = 0. Calculate o.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 27610*d - 193259. Give y(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*h - 35 = 0, -4*j - 5*h - 31 + 81 = 0. Suppose 0 = -3*p + 15 - 0. Suppose 0*a - 33 = -p*l + 2*a, -2*l - a + 6 = 0. Solve -l*g = j - 5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 0*x + 3*h + 46, 128 = 5*x - h. Suppose -4*w + x = 14. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/20*(-2)\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 5*y - 15, -6*y + 3*z + 6 = -4*y. Suppose b + 51 = 3*a, -2*b + 0*b = 5*a - 74. Let c = y + a. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 2\/11 (b) 0.1 (c) -4\/3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and -13482275.\nAnswer: -13482277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 520.1 + -520. What is the nearest to x in 0.5, -3\/7, -6.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqllxclcxxxqcxxqq. What is prob of picking 1 l and 1 x?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 484, 503, 520, 535, 548, 559?\nAnswer: 568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 (base 10) in base 13?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from feefeekfffefkf. What is prob of sequence eff?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 5 = -6*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2617 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j - 2*j + 0*j. Let l(p) = -4*p + 1 - 1. What is l(s(z))?\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-2 - 5) - (-4 + 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 767737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245 = 5*h - 265 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -2 (c) -106\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1.616444 meters?\nAnswer: 1616444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**3 - 14*i + 3. Let f(u) = -250*u - 1758. Let k be f(-7). Let a(h) = -h**3 - 5*h + 1. Determine k*a(o) + 3*y(o).\nAnswer: 2*o**3 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppdppp. Give prob of sequence pd.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7669, -13200, -22419, -35326, -51921, -72204, -96175?\nAnswer: -123834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 - 19. What is the greatest common factor of d and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**3 + 0*u**3 + 2*u**3 - u**3 + u**3 + 2*u**3 + (0*u + u + u)*(-5*u**2 - u**2 + 4*u**2).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-69)\/(-9))\/(15\/(-225) + 13\/(7020\/96))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4338*i**3 - 5892*i**2?\nAnswer: -26028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.09 - 0.21. Let l = 0.32 + t. Let y = 158 - 1420\/9. Sort l, y, -4 in ascending order.\nAnswer: -4, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/20*8)\/(9\/(189\/147))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + sqrt(11) + 4)*-3*-4.\nAnswer: -36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3215869 times 0.5?\nAnswer: -1607934.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 7*f - 6*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*j - 227*j + 119*j + 118*j - 243*j + 119*j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**2 + h**2 - 6*h**2 + (-3*h + 0*h + 0*h)*(-h - 1 + 1 + (3 - 6 + 11)*(4*h + h - 3*h)).\nAnswer: -47*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-3) - 3 - (-3 - -1). Let r be 15 + -18 + (p - -7). Solve 0 = 3*u + 2*l - r, -5*u + u = -2*l - 18 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 4:48 AM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.16, -3, -4 in descending order.\nAnswer: 0.16, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -100123329, -100123335, -100123341, -100123347?\n\"Answer: -6*j - 100123323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.071 + 0.069. Round j to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4074+-0.307\nAnswer: -0.7144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ypwxpwqww. Give prob of sequence wqwy.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -114 + 150. Let b = g - 38. What is the third smallest value in 0.5, -0.02, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 353, 2\/9, -6\/13, 220 in descending order.\nAnswer: 353, 220, 2\/3, 2\/9, -6\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4*u**2. Let r(w) = 6450*w. Give r(a(b)).\nAnswer: 25800*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 6*-1*sqrt(275)*-1)**2 + (0 + (sqrt(275) + (sqrt(275) - (1 + sqrt(275))) + -1)*-3)**2.\nAnswer: 60*sqrt(11) + 12427","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4644223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.02 (b) -5 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4548 - -4589. What is the remainder when 285 is divided by c?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - v - 2. Let b be a(2). Suppose 4*m - 2*f - 4 = b, 5*m - 2*f + 1 - 5 = 0. Solve m = 4*k - 0*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 81 - (-6 + (26 - 16))?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 0 - 28*n**2 + 4 - 4 - 6*n + 26*n**2 - 2*n**3. Let v(h) = 5*h**3 + 5*h**2 + 12*h. Calculate -3*v(s) - 7*w(s).\nAnswer: -s**3 - s**2 + 6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -18. Let j = 10.3 - p. Put 1, j, 0 in descending order.\nAnswer: 1, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1354152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -114*l*u**3*v - 4*l*u**2*v**2 - 26*l*u**2 - 4*l*v**2 + 44*u*v**2 - 4*u wrt u.\nAnswer: -684*l*u*v - 8*l*v**2 - 52*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - b + 4041 = 0, 3*k - 3*b = -k - 8079. Let v = -1262 - k. Suppose 200 + v = 8*o. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/37)*((j**(-4\/5)*j*j)\/j*j*j)\/j)\/(j**(-16)*j**(1\/8)) assuming j is positive.\nAnswer: j**(25191\/1480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -155.2 - -155.2. What is the second smallest value in -5, 0.24, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38.41 - 36.11. Let i = 48 - 52.3. Let h = k + i. What is the closest to h in -0.5, -3, 0.22?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-12)*(-54)\/(-63).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c - 12*c + 7*c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 5. Let n(v) = -v**2 - 6*v - 10. Let t be n(-4). Sort 2, r, t in descending order.\nAnswer: 2, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 11:44 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110001100011 - -111?\nAnswer: 110001101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1013641\/4 less than -253411?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -466 minus 5214986485?\nAnswer: -5214986951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(44)*1 - (-3*sqrt(44) + -5 + sqrt(44)))**2.\nAnswer: 20*sqrt(11) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, 0.5, 3\/2, -4, 1 in increasing order.\nAnswer: -4, -0.7, 0.5, 1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.3, -0.79, -136, 2\/73, 19?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103326*n + 8 - 3 - 5.\nAnswer: -103326*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, e: 5, y: 8}. What is prob of sequence qeq?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -562 - -562. What is the closest to o in -0.2, -2\/11, 35?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 5*o - 10*o. Let m(u) be the third derivative of 4*u**2 + o*u**4 + 1\/60*u**5 - 1\/3*u**3 + 0 + 0*u. Determine m(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14405 - -403?\nAnswer: 15212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -q - 59, 0 = -5*q - 25 - 0. List the prime factors of 303\/27 - 4\/p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17715 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-10) + (-168)\/(-5). Let o be (-2)\/24*-3 - 486\/24. Let c = w + o. What is the greatest common factor of 7 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/2 of a tonne?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t + 123. Let b(f) = 41. Let l(j) = -17*b(j) + 6*w(j). Let u be l(6). Solve 10*k**2 - 8*k**2 + u*k**3 - 7*k**2 = 0 for k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 155 (base 6) to base 7.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 127359393*o + 26656640 wrt o?\nAnswer: 127359393","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -3*w + 10*w. Suppose -w*l + 290 = l. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-252)\/(-980)*14\/6. Find w such that -1\/5*w**2 - 2\/5 - f*w = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h**4 + 2\/9*h**5 + 0*h - 2\/9*h**3 + 0 + 0*h**2 = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 214989 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 5*g**5 + 5*g**4 - 50*g**3 - 20*g**2 + 120*g = 0.\nAnswer: -3, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 11:37 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -90 - 11*o + 90 as f + k*o and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 50 = 29*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 342\/(-24)) + (-20)\/80?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 454 + -206. Let r(c) = -24*c + 7. Let n be r(6). Let v = h + n. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11124382 a multiple of 1958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 898918727?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2*n - 9 = -n, 0 = 4*n - 20. Find the second derivative of k**5 + c*k + 3*k**5 - k**5 wrt k.\nAnswer: 60*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52171172005 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3.84 (b) 5 (c) 2 (d) -46 (e) 1 (f) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 424 = 2117. Suppose 3*f - 1377 = t, 3*t + 260 = -5*f + y. Does 22 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (216\/(-162))\/(2\/6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 133 - 1230323312?\nAnswer: -1230323113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 634104.\nAnswer: 634104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen quarters of a millimeter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (6*((sqrt(250) - -1*sqrt(250)*2)\/sqrt(5))\/(-1*sqrt(810) + 2*sqrt(90)))**2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 3 + (2 + 0 - 1)*(-1 + 2 + 0) - 1 + 0 + 0)*(-q + 5*q - 3*q - 5 + 5 - q + (-2*q + 0 + 0)*(-2 + 2 - 2) + 45 - 5*q - 45)*(-99 + 99 - 6*q**4).\nAnswer: -6*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/5 (b) 21\/2 (c) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -307 + 140*n - 140*n - 29*n**2 + 307.\nAnswer: -29*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 636 - 297 - 2*o - 360 + 10*o.\nAnswer: 8*o - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -1090 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence axa when three letters picked without replacement from {x: 5, a: 3}.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 7 = 5*x + w, 4*w = -20 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/((d*d**(3\/5)*d*d)\/d))**(-7)\/(d\/d**(-2))**(1\/38) assuming d is positive.\nAnswer: d**(783\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 428 - 483. What is the smallest common multiple of 18 and f\/33*(-18)\/10*26?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4*-2*sqrt(1176))\/(2*sqrt(24)\/sqrt(3) + (sqrt(288) - (sqrt(288) - (sqrt(288) - (sqrt(288) - sqrt(288)*-1))))).\nAnswer: 56*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1428*x - 4*n = -1420*x - 100, 5*x + 2*n = 4*x + 59 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55882.06ng to grams.\nAnswer: 0.00005588206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 1 (b) 1448 (c) 4\/5 (d) -6 (e) 1\/4 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 42 - 25 - 41*n + n**2 + 6*n**2. Let d be f(22). Is d\/(0 - (-3 - -2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 11 + 0 = -13*n, 5*n = 11*f - 13*f + 43 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35145 and 29824047.\nAnswer: 7029","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(17) + -1 - (sqrt(17) + -1 + sqrt(68)\/sqrt(4))**2.\nAnswer: -70 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225*v - 2*v**2 + 225*v.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -37, 4, -3, -26, -30.\nAnswer: -37, -30, -26, -3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 5*a, -4*a - i + 4*i = -2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 3*j + 93, 140 = 5*x - 4*j + 3*j. Calculate the greatest common divisor of 36 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + 12 + -89 + 57?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 5*g**2 - 2*g + 5. Let b be t(5). Suppose -430 = -3*w - 5*s - 39, 0 = -2*w + 4*s + 224. What is the hundreds digit of (-7 - b)\/((-2)\/w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02 - -2.02. Let o be (39\/24 - 2) + 27\/8. What is the second smallest value in g, -1, o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -99876 - -100094. Suppose 3*w - r = 130, -3*w - 3*r - 50 + 200 = 0. What is the remainder when u is divided by w?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76104 is divided by 39.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**3 + 4*t**3 - 11*t**3 + 5*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/9454 and 127\/138.\nAnswer: 652326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - 10*g - 6. Let a(j) = -j**2 - 12*j - 6. Give 2*a(b) - 3*u(b).\nAnswer: b**2 + 6*b + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94, -85, -76, -67, -58, -49?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1125391114?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10289912.\nAnswer: 2, 1286239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -9493991980 rounded to the nearest 1000000?\nAnswer: -9494000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10102*b + 7761*b + 55156*b.\nAnswer: 52815*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 11.82, -6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -65 - -122. Let n = h - -245. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1004 is divided by 441.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - d = -6. Let m(g) = 1 - 1 + 0 - 2*g**d. Let c(z) = -3*z**2 - 20*z + 20*z. Determine c(m(s)).\nAnswer: -12*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 20 (b) 3598 (c) -1 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3*(-4)\/(-24))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1446538 to the power of 1\/4, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -22465 + 4842. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(10\/(-55)) + 5. Let l(o) = o**2 - 32. Let d be l(x). Sort d, -3, 13 in increasing order.\nAnswer: -3, d, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.2 + -1.2. Let m = g + -0.9999939. What is m rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/8 and 45.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -1\/214443219?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7*(8\/(-6))\/(24\/(-18)). Suppose -2*n + 921 = o, -k*o = n - 6*o - 460. What is the remainder when n is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4496784 divided by 4496784?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 7. Suppose 64 = 3*t + 4*r, 2*r - 116 = -3*t - l*t. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*g**3 - 4*g**3 - 5*g**3)*(g - 3*g + 3*g) + 4*g - 2*g**4 - 4*g - 1 + 2*g**4 + 3 - 1 to the form w*g + b*g**2 + j*g**4 + s + r*g**3 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*o**2 - 20*o + 16 - 9*o**2 - 16 wrt o.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4203, 6, -0.2, 1\/2, -0.4 in descending order.\nAnswer: 6, 1\/2, 5\/4203, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 14085.826 and -549403?\nAnswer: 563488.826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pru when three letters picked without replacement from upr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 526873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/9*2*-35*156\/728.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 3276882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -121, -364, -757, -1294, -1969, -2776?\nAnswer: -3709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -147*h + 150*h + 6. Which is smaller: h or -11\/12?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1638*k**2*o**3*y + 2*k**2*o**2*y - 8*k*o**3*y + 163*k*o wrt k?\nAnswer: 3276*o**3*y + 4*o**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.282 - 0.018. Let w = -2.4 - b. Suppose 0*d + 3*d + 4*p = -24, 0 = -4*d + p - 13. Is d <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, d: 1, x: 1, o: 1, z: 1, q: 2}. Give prob of sequence dq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 94\/2475 and 37\/1350.\nAnswer: 14850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (53 - 2) + 4\/2. Let h(v) = 13*v + 641. Let z be h(-51). Let p = q - z. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*q + 3 - 7 = 0, 4*d - 2*q = -8. Let m be (d\/(-5))\/((-1)\/(-10)). Let a = -15016 + 15024. Calculate the greatest common factor of a and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23663 (base 8) to base 14.\nAnswer: -39bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, t: 2}. What is prob of picking 2 t and 2 y?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -32.28404 in descending order.\nAnswer: 3, -1, -32.28404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -3. Suppose k*d - 3*d + 2 = 0. Suppose -d*w - 1 = 7. Sort -5, w, 4.\nAnswer: -5, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -144, -18315, 1 in descending order.\nAnswer: 1, -144, -18315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2344.\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*0\/((-9)\/(-3)). Suppose -2*m - 3*n = -w*m - 7, 2*m - 13 = -5*n. Let c be 8 + 0 - 1\/m. What is the highest common factor of 72 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 10*r - 3. Give m(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 654*l**2 + 147*l - 458. Is i(-25) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 1 = -2*m, -2306*m - 3 = -2305*m + 3*u for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**2 - 7*r**2 + 4*r**2 + 0*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3325\/(-14)*(-168)\/108. Is j smaller than 370?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 13*a**2 - 12*a**2 + 9 as j*a + l*a**2 + q and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 - -0.2. Let s = 0.04 - -2.96. Let h = s + -2.6. What is the biggest value in t, h, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 46547*k**4 - 815554?\nAnswer: 186188*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -636, -1001, -1366, -1731, -2096, -2461?\n\"Answer: -365*h - 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 172621796 to the power of 1\/2, to the nearest integer?\nAnswer: 13139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 2345.125567 to zero decimal places.\nAnswer: 2345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12111000 rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -8252 less than -8256?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 4 = -d, 57*d - 54*d = -3*k for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 41*c - 19592 - 85048 = 0. What is the highest common divisor of c and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -7 - 16 - 6*a + 3*a + 32. Let d(s) = -13*s + 37. What is 2*d(m) - 9*h(m)?\nAnswer: m - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 314 a factor of 3034646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -2*m + 10, 3*m - 29 + 14 = 0. Let t(d) = -d + 8. Let c be t(4). Suppose -c*z - z + 210 = g. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13673 is divided by 6760.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 9:42 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.8 * -74.1.\nAnswer: 429.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 6*y + 4*k, 6 = -3*y + 2*k + 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 576 - 3\/3. Let v(n) = -11*n**2 + 1488*n - 1851. Let s be v(134). Calculate the highest common divisor of s and r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iluy when four letters picked without replacement from yoiiuyyuyionlni?\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -371*x + 1. Let t be j(-4). Suppose 29*l + 594 = 2*w + 30*l, -5*l + t = 5*w. Calculate the highest common divisor of w and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5\/(-2))\/((-100)\/480). Calculate the least common multiple of (-1)\/(1\/(-1*5)) and 90\/j*2 + -6.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 991*t - 14 + 992*t - 1 + t**2 - 1969*t = 0.\nAnswer: -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1615 a factor of 323867255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l - 6*l + 13*l)*(-9 + 1 - 3) - 3 - l + 3 + (-2*l + 4*l + 0*l)*(4 + 2 - 3) as g + i*l and give i.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -188030.9?\nAnswer: -376061.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 369.000000744 - 369. Round n to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1666\/2856*-4*4\/(-42).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + h + 3*h)*(14*h - 468 + 468).\nAnswer: 14*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 73, 0.4, -0.043, -40, 2\/7, -1 in descending order.\nAnswer: 73, 0.4, 2\/7, -0.043, -1, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 277*n - 16067. Calculate f(58).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.6 - -1.635. Let b = 3.673 - 3.673. What is the biggest value in -0.3, l, b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -48*w**2 - 4 - 2*w + 15*w**2 + 5*w**2 + 16*w**2 + 15*w**2. Give z(5).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) -4 (c) 1550 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63082*-2170.\nAnswer: 136887940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -4. Let p = 2 - 4. Calculate the remainder when 56\/(-3)*o\/p is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21078, 21081, 21086, 21093?\nAnswer: 21102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29190370700 rounded to the nearest one million?\nAnswer: 29190000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of 2*o**7\/105 + 19*o**6\/15 + 64*o**5\/3 - 400*o**4\/3 + 16*o**2 + 11. Factor i(s).\nAnswer: 4*s*(s - 2)*(s + 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + a + 2. Let f be q(3). Let n = 24 + f. What is the third derivative of -6*c**2 - 13*c**5 - 2*c**n + 3*c**2 wrt c?\nAnswer: -780*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 4*q = -8, 0 = 2*q + 58 - 64 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j + 0 + 0 + (j + 0 + 0)*(-1 - 1 + 0) + 0 - 2*j + 0 - 31*j - 2 + 29*j - 27.\nAnswer: -4*j - 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/3 - 82*d - 684.\nAnswer: -2*(d + 9)*(d + 114)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -303.14 rounded to zero decimal places?\nAnswer: -303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17148.\nAnswer: 2, 3, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000579045 to 7 dps.\nAnswer: -0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -556 divided by -507.\nAnswer: 556\/507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**3\/3 - 114*b**2 + 5850*b - 78750 = 0. What is b?\nAnswer: 21, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21626, -21578, -21530, -21482, -21434?\nAnswer: -21386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -4*y**5\/5 + y**4 + 4*y**3 - 2*y**2 - 8*y - 17. What is i in u(i) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 39 = -3*q, 2*q = -t + 3 - 7. Let r be 3\/((-9)\/t) + 8. Let p be 2\/(-3) - (-70)\/r. What is the highest common divisor of p and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.04 (b) 3\/5 (c) -0.0761 (d) -33 (e) 1 (f) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 2*a**2 + 5*a + 7. Is c(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus 4900.6?\nAnswer: -4905.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 177\/4451 or 0?\nAnswer: 177\/4451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9189, -9520, -10059, -10806, -11761, -12924?\nAnswer: -14295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (4 - 7)) + -23 + 67.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3862776 divided by -160949.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1729.0127 + 1729. What is the nearest to 1 in -0.04, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 37 = z, 7*y - 2*y = -2*z + 70. Let l be -1 + 9*(-2 + 1). Let c = 18 + l. What is the greatest common divisor of c and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(546\/(-36)))\/((24\/14)\/(160\/(-420)))?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-315)\/109242*-68*(-6)\/5?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(1088) + 0 + sqrt(1088) + -5 + -4 + (sqrt(1088) + -3 - sqrt(1088)).\nAnswer: -7 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 6*f**2 + 7*f + 5. Let m be l(-4). Let g = -5 + m. Solve 2\/3*y**2 + 0 + 0*y**3 - 2\/3*y**g + 0*y = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3023022 (base 5) to base 13.\nAnswer: -19109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0*-172\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**3)**(-3\/46)*(l\/(l**0*l))**(-4\/15) assuming l is positive.\nAnswer: l**(-6\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 823609917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-36)*z*z**(-10\/7) assuming z is positive.\nAnswer: z**(-255\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-165)\/(-40) - 9)*-4. What is b in 0 - 9*b + 33\/2*b**3 - 39\/2*b**4 + o*b**2 - 15\/2*b**5 = 0?\nAnswer: -3, -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 122 = 2*c, -366*c + 371*c - 158 = -4*x. Solve 28*g - x + 14 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 7*f**3 + 40*f**2 + 2*f - 2. Let l(g) = -9*g**3 - 38*g**2 - 3*g + 3. Give 3*h(d) + 2*l(d).\nAnswer: 3*d**3 + 44*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -1 + 2\/7*t**2 + 0*t**3 + 7*t - 1\/21*t**4. Factor j(d).\nAnswer: -4*(d - 1)*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 - -32. Solve -30*o + 25*o + 20 = u for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -25 + -2019791?\nAnswer: -2019816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 0*r - 4*r)*(-723 + 9 - 8)*(r - 3*r + 4*r - 1 + r + 1 + (r - 3*r + 3*r)*(-3 + 0 + 5)).\nAnswer: 10830*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in meters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/2 + (-56 - 1628\/(-22) - 56\/16).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4241 - 4229. What is the remainder when 4342 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22984203763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56548136 by 14137034.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -25*v + 124. Let p be h(-6). Suppose -p = n - 283. Solve 31*y = 34*y + n for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96 and 6.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -14 + 2. Let n be (-4)\/3*y\/2. Let q(l) = -n + 4 + 1 + l**2 - 2*l**2. Calculate q(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of o**6\/15 + o**5\/4 + o**4\/4 - o**3\/6 - o**2\/2 + o. Factor y(g).\nAnswer: (g + 1)**3*(2*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (129*d**2 - 246*d**2 + 1028*d**2)*(-7*d**3 + 3*d**3 + 2*d**3).\nAnswer: -1822*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 91 and 42.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 505160 + -329364387\/652. Calculate the common denominator of -43\/20 and h.\nAnswer: 3260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2317*g + 6. Let w(f) = 6*f**2 + 98*f - 2. Determine w(k(z)).\nAnswer: 32210934*z**2 - 393890*z + 802","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3309*i - 8. Let q be p(5). Let s = 198511\/12 + q. Let l = 14368 - 172511\/12. What is the common denominator of l and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1137, 0.9, 1 in descending order.\nAnswer: 1, 0.9, -1137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 13397 and 332.05?\nAnswer: 13064.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.9 - -3. Let i be 1*(-55)\/60 + (-4)\/(-6). What is the closest to -0.1 in i, 0.5, y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 239 - 157. Solve -28*y = n + 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of 0 - 25\/12*r**4 - 1\/15*r**6 + 0*r**2 + r + 0*r**5 + 0*r**3. What is the third derivative of j(p) wrt p?\nAnswer: -48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (6 - 320\/85)\/8 and -25\/16.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.5 + 3.5. Let u = a + -2. Let p = -1.07 + 0.07. What is the closest to 1 in p, u, -0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*o + 54 = 0. Let y(b) = 2*b**2 + 37*b - 38. Let p be y(-20). Let f = o + p. Solve t + 12 = f*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1319 is divided by 49.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4455)*-1)\/(-1*(sqrt(5)*-3 + sqrt(5)) - sqrt(5)).\nAnswer: -9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 42 = 3*f - a, -11 = -2*f + 3*a. Suppose 4 + 11 = -5*x. Let q(n) = n**3 + 6*n**2 + n - 5. What is the remainder when q(x) is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*s = 2*v - 7, -15 = -5*v - 5*s. Suppose f - o - 2991 = 0, o + 0 = v. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**2 + 3*c**4 - 2*c**4 + 6 - 2*c**3 + 98*c - 184*c + 89*c to the form t*c**2 + g*c + x*c**3 + n + j*c**4 and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than -43102118903199?\nAnswer: -43102118903199.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 27086507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 2\/11, 5\/2, 4\/5, 0.4, 5.\nAnswer: 2\/11, 0.4, 4\/5, 5\/2, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 674539982.\nAnswer: 2, 12433, 27127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -683\/5 - -137. Let i = 8.06 - 8. Let k = -0.44 - i. Which is the biggest value? (a) n (b) 1\/3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -342123 (base 5) in base 9?\nAnswer: -17614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32144)\/2688 - 8\/192.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 312230210 (base 4) to base 14.\nAnswer: 5b908","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of k**7\/840 + k**5\/120 - k**4\/8 - 13*k**3 + 2*k**2 + 52*k. Let z(l) be the first derivative of c(l). Give z(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-4\/9)\/(a\/((a**(-6\/13)\/a)\/a))*(a**(-27))**(-49) assuming a is positive.\nAnswer: a**(154334\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 14\/1889?\nAnswer: 14\/1889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 13*d**3 - 6*d**2 + 494*d - 37. Let y(g) = -5*g**3 + 2*g**2 - 166*g + 13. Determine -6*v(z) - 17*y(z).\nAnswer: 7*z**3 + 2*z**2 - 142*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -1695.\nAnswer: 3\/565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15530, -31139, -46748?\nAnswer: -62357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -71 - -109. Suppose 5*b - 7 = x. Calculate the greatest common factor of 9 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -v**5\/20 + v**3\/6 - v**2\/2 - 13*v. Calculate l(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28*(12\/4)\/(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 20 = 3*r. Let z(x) = -x + 5. Let o be z(4). What are the prime factors of o + 14\/r*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a meter in millimeters?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17830655 greater than or equal to 17830652?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 558 a factor of 2430090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 7:40 AM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -10\/119 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1*(-3 + sqrt(200))*-1*1)**2.\nAnswer: -1045 + 300*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/231 - (1 + (-40)\/56) and -19\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*q, 3*o - q = -4*q. Let b = 2 - o. Let d be (-3)\/b*56\/(-6). Calculate the greatest common divisor of 21 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssgssagggzgaa. Give prob of sequence gss.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -158 + 165. Let a be 27\/(-33) - 2\/11. Let k be (-14)\/((1 + 1)*a). What is the greatest common divisor of k and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1633, 1686, 1739, 1792, 1845, 1898?\nAnswer: 1951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*p)*(-p + 4 - 4) - 14*p**2 - 2*p**2 - p**2 + (2*p - 4*p + 0*p)*(0*p + p - 2*p).\nAnswer: -17*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-83)\/((-9628)\/8)*29?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - -2 - 1 - (-1089 - 7). Suppose 655 = 3*a - 6*j + j, v = 5*a - 4*j. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 64? (a) 2 (b) -5 (c) -57.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14.948 in -2, 0.2, -1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/17 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*4*(sqrt(700) + (sqrt(700) + 0)*-1)*5 + 4))**2.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 62118.4 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 0.125?\nAnswer: -0.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5385309475 to the power of 1\/3, to the nearest integer?\nAnswer: 1753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32 + 200012312031?\nAnswer: 200012311333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 62, 219, 522, 1019, 1758, 2787?\nAnswer: 4154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32235696 to the nearest integer?\nAnswer: 5678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 20 = -0*m. Let u(t) = t**2 - 4*t - 1. Let k be u(5). Put k, m, -1 in decreasing order.\nAnswer: k, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42633?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -26 (b) 0 (c) 6235 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, x: 5, s: 3}. What is prob of picking 1 x and 2 o?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/1274 and 59\/7146748?\nAnswer: 92907724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 3:27 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 f when four letters picked without replacement from fhfhhh?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88491 and 1326.\nAnswer: 3008694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.3 - -0.3. Let j = y - 0. Let o = j - -2. Which is the nearest to -1? (a) 2\/7 (b) 0.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 140273 and 7714.\nAnswer: 5330374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i + i. Let v be 2 + (2 - 1) - i. Solve -5*c + 4*n - 1 = -0, 0 = 3*c + v*n + 6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -290 - -3768\/13. Let j = -0.2 + 5.2. Which is the second biggest value? (a) 2\/15 (b) j (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1216)*-6 + (sqrt(2299) - 4*sqrt(2299)) + 5.\nAnswer: -81*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 9*f - 2. Let m be z(-8). Suppose 14 = -4*o + 10. Let t = o + m. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 61230?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4557048 divided by -3?\nAnswer: 1519016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9\/(-6))\/(1\/(-18))*1. Let l(o) be the first derivative of 3*o + 0*o - 4*o**3 + 6 - z + 7*o**3. What is the derivative of l(h) wrt h?\nAnswer: 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5\/4131, -0.03, -5, 0.325?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1 + -1 + -2*sqrt(7).\nAnswer: -2*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 35, 13 in decreasing order.\nAnswer: 35, 13, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (45 - 30)\/((-9)\/12). Let y be (-1 - 14\/(-28))\/(2\/u). Suppose 3*o - 13 = -c + 1, -5*c = -3*o - 16. Solve 0*h - 11 = -y*h + o*n, -h + 2*n - 2 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from oxooxooooooooooooo.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 220*w - 1564. Let p be o(7). Which is smaller: p or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -401*s - 1052 = 6567 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**4\/2 + 3*t**3 + 36*t**2 - 48*t - 192 = 0. Calculate t.\nAnswer: -4, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290 is divided by 49.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 97*d**2 - 74*d - 1. What is the tens digit of o(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 146*s - 31. Let v(h) = -97*h + 21. Let j(u) = -5*o(u) - 7*v(u). What is the hundreds digit of j(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 5013?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 241060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/9 (b) -315 (c) -1160\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57 and 14915?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11534 - 9578 = 812*z for z.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -0.4, 1, 12151109?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 g, and 1 z when four letters picked without replacement from zzggzzeehzhzehh?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffw when three letters picked without replacement from wcxwffiz.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -375*c + 2633. Calculate y(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -0.03 (b) 1.1 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16519158 is divided by 1835462?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.22 - -18.78. Let f = -17 + k. Which is the nearest to -1? (a) 0.1 (b) f (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 5 = 1. Let n = 7730 + -108323\/14. Find the common denominator of n and k\/(60\/249) + -1.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3880114 or -3880115?\nAnswer: -3880115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kwkwkwkkwwkwwk. Give prob of sequence wk.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-7\/8))\/d**(1\/3))**(8\/15) assuming d is positive.\nAnswer: d**(37\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 5*j = 9, -5*j - 17 = -4*x + 22. Suppose -7*s + x*s = -3. Suppose s*g + 69 = 2*f, -4*g - 88 + 16 = -2*f. What are the prime factors of f?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 7*c**2 - 1. Let h = 3 - 1. Let i = h - 3. List the prime factors of y(i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2889 = -4*a, -3*h - 5*a + 851 = -872. Let f = h - 506. What is the highest common factor of f and 525?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-2) - 59592\/9741.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 57408 = -4*n. Suppose z - 9564 = -2*j, -5*j = -3*j + 3*z - n. Let h = j + -2452. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 49, 131, 251?\nAnswer: 409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(52)*4)\/(2*sqrt(400)).\nAnswer: 2*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-81)\/(-756)*(-9)\/((-243)\/24)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ustukksn. What is prob of picking 1 n and 1 s?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(196)*2)\/(-3*sqrt(14)\/sqrt(2)) + -4.\nAnswer: -4 + 16*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 65 = -5*n, -n + 0*n = -5*t - 247. Let l be ((-44)\/(-10))\/((-5)\/t). Let u = l + -29. Solve u = -6*s + s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/7 (b) -3 (c) -5 (d) 160 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 8493051?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**2*o**2 - h**2*o - 10*h**2*s**2 + 8*h*o**2*s**2 + h*o + 3*s**2 wrt o?\nAnswer: 2*h**2 + 16*h*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**2 - 5*j + 5. Let m(t) = -6*t**2 - 14*t + 14. Let s(i) = -5*m(i) + 14*u(i). Let x(w) = -22*w**2. Calculate s(x(o)).\nAnswer: 968*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -1275828 + 1275828 - 10979*c**2 + 1930*c**2 in the form f + d*c + m*c**2 and give m.\nAnswer: -9049","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/b**(1\/4)*b\/(b**(-2\/11)\/b*b))**(13\/3)\/(b**(-1\/3)\/b**(-2\/7)*(b\/((b*b**1*b*b)\/b))\/b**(-4)) assuming b is positive.\nAnswer: b**(9935\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2822 divided by 34?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11276*c**3 + 11278*c**3 + 66*c**2 + 39*c**2 - 105*c**2.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -3, -20 in descending order.\nAnswer: 2, -1, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/5*-6*(262922\/7104 + -37)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 940862 to the nearest integer?\nAnswer: 970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d**2 - 1. Let m be s(-1). Let z = 6 + m. What is the lowest common multiple of 5 and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qyqqeuuuqgtqutgqgtue. What is prob of picking 2 g?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2108204 divided by 412.\nAnswer: 5117","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 divided by 1.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((2680\/6)\/5)\/(14\/21). Let k = n - 19. Suppose k = -0*x + 5*x. Is x a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 13\/8 of a kilogram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 160496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 4*d + 3*s + 5, 2*d + 3*s = 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g - 18. Let y be k(-12). Suppose 2 = 4*r - y. Let f be 39999 + r*3\/6. Round f to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 6*h + 8. Let y(v) = 4*v + 5. Let s(n) = -5*p(n) + 8*y(n). Let r(m) be the first derivative of -51*m**2\/2 + 1164. Give s(r(i)).\nAnswer: -102*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.1, -1398, 2 in increasing order.\nAnswer: -1398, 0.1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -274.3 - -273. Put 0.3, l, 3 in increasing order.\nAnswer: l, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-4 - -10) - 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000388 to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 1. Let x(g) = 114*g - 157. Let v(n) = x(n) + 2*y(n). Differentiate v(w) wrt w.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -40 + 16, 0 = s + d + 1. Solve -2*g + 28 = -s*a, g = -4*a - 7 - 5 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/3 - 935*h\/6 + 7225\/2.\nAnswer: -(h + 255)*(4*h - 85)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*u = 16*u - 415423. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -208 + 85. Let p = l - -131. Solve -p = -o + g, -o + 4*g = 3 - 23 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43291*w**2 + 43284*w**2 - 129825*w**2 + 43252*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -107*z**2 - 11*z - 232. Let a(p) = -53*p**2 - 5*p - 116. Let u(i) = 7*a(i) - 3*o(i). Find the second derivative of u(t) wrt t.\nAnswer: -100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*j**3 + 7 + 3*j**3 + 2 + 0 + j**2 to k*j**2 + v + u*j + p*j**3 and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 57859 and 11.\nAnswer: 636449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -2398?\nAnswer: -2393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/5 (b) -4 (c) 2 (d) 4 (e) 2\/25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1120398 + -0.1.\nAnswer: 1120397.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -132, -88, 198, 726?\n\"Answer: 121*v**2 - 319*v + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 times 2.33791?\nAnswer: 194.04653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131155 is divided by 1194?\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/25)*s\/s**(-5))\/((s\/s**(1\/4))\/s)**10)**(2\/191) assuming s is positive.\nAnswer: s**(429\/4775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 143 + a03?\nAnswer: 1046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 8:17 PM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-14) - (-3036)\/2926?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 3:18 AM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 867.9 times 3?\nAnswer: 2603.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 260 = -q, 840 = -5*q + 8*q + 3*x. Which is greater: 274 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -553?\nAnswer: -555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 99394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -6*d - 1\/24*d**6 + 1\/12*d**5 + 5\/3*d**4 - 10*d**3 + 0 - 4*d**2. Factor y(i).\nAnswer: -5*(i - 2)**2*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19.2 times -151\nAnswer: -2899.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, -57, -211, -455, -795, -1237, -1787, -2451?\nAnswer: -3235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-403380)\/(-34) + 2\/(-17). Let f = 7964 - r. Round f to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.12 - 5.12. Let q = 35.1 + -35. Sort q, 3, s in descending order.\nAnswer: 3, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -174*f**3 - 3*f**2 + 6*f - 3. Let q(l) = -349*l**3 - 5*l**2 + 10*l - 5. Determine 3*q(x) - 5*w(x).\nAnswer: -177*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 - 2*t. Let b be u(-1). Let l(p) = 3*p**3 - p**2 - p + 147. List the prime factors of l(b).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 13388*p - 5909478. Calculate x(457).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/4 + 59\/(-44). Let g(s) = -53*s - 1009. Let o be g(-19). Which is the biggest value? (a) -5 (b) p (c) o (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3167885, 6335769, 9503653, 12671537, 15839421, 19007305?\n\"Answer: 3167884*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48 + -135. Let o = p - -140. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 11:27 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 21, 5, 0.5 in descending order.\nAnswer: 21, 5, 0.5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 268009 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 6 + 20*r**2 - 2*r**3 + r**3 + 3*r**3 - 44*r. Calculate h(-22).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 6*y + 5. Let m be b(7). Does 7 divide 2 + (m - -22 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/63 and -91\/75?\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 384 - -476. Does 86 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 6*z + 140. What is the remainder when 28 is divided by o(-19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c - 4209 = 3330. Let z = -359 + c. Let j(f) = -f**3 - 8*f**2 - 7*f + 10. Let x be j(-7). Solve x = -5*r - z*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -2. Suppose 59*m - 57*m - 34 = -4*r, -3*m - 3*r + 21 = 0. Sort 0, x, -2, m.\nAnswer: m, -2, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 6:27 AM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 5)*(-k + k - 4*k)*(-12 - 15 + 20)*(-k - 5 + 5).\nAnswer: -84*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -177500*c**3\/3 - 2*c. Let q be k(-2). What is q rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 + 2*a**2 - a**2)*(3*a + 0*a - 5*a)*(-3 + 0 + 2).\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 8*f + 48. Let g be n(-12). Solve 2 = -g*s + 2*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 15, s: 3}. What is prob of sequence eee?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hz when two letters picked without replacement from {h: 2, z: 1, a: 1, k: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -48\/5? (a) 5 (b) -17 (c) 2\/3 (d) -2\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, h: 2, f: 2, t: 1, a: 1}. Give prob of sequence cat.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -11*a**8\/42 + a**6\/60 - 125*a**4\/24 - a**3\/6 - 204*a**2. Find the second derivative of u(h) wrt h.\nAnswer: -1760*h**3 + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - (-2*sqrt(187)*-1 - sqrt(187)) - sqrt(187))\/sqrt(11))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) -2 (c) -1\/25 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -6033480?\nAnswer: 6033479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 262837 + 189953 = 45*a. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2 = -4*g - 77, 0 = z + 3. Let i(u) = 9*u - 9. Let n(o) = 90*o - 90. Let p(b) = g*i(b) + 2*n(b). Let x(c) = 4*c - 4. Determine -2*p(h) - 5*x(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 161\/(-21) - 4\/(-6). Let t(r) = -r**3 - 8*r**2 - 2*r + 9. Let x be t(i). Let a = 31 + x. Solve a*h - 8 = h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tsdttocottst. What is prob of picking 1 d, 1 o, and 1 s?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*i - 3880 - 152. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 280008164 to the nearest 100000.\nAnswer: 280000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-26) - (30\/(-26) + 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 112*o**2 - 223*o + 330. Let h be b(110). Sort 1, 1.23, h, 0.2.\nAnswer: h, 0.2, 1, 1.23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-288)\/18*((6\/(-24))\/1)\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4826107 and 847.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 452*16\/320*(-15)\/36 and -68\/1113.\nAnswer: 4452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 361712534?\nAnswer: 2, 29, 6236423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, b: 1, p: 1}. What is prob of sequence pu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 4*r - 18. Let a be t(5). Suppose a*q - 80 = 222. What is the common denominator of -15\/22 and ((-2)\/(-12))\/(1 + (-150)\/q)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2963*p**2. Let j(o) = 44*o**2. What is j(t(g))?\nAnswer: 386292236*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3713.064 minutes?\nAnswer: 222783.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of k**5\/60 + 7*k**4\/24 + 2*k**3\/3 - 48*k**2 + 39. Give b(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 5*s - 17 + 63, 6 = -s - 4*t. Let r(u) = -u**2 - 12*u - 14. What is the least common multiple of 2 and r(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/2334 and 7\/7002.\nAnswer: 7002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + o + 3 = -14, -4*j + 24 = -4*o. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 218982884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -a71254 (base 11) to base 6\nAnswer: -100430033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 38373 divided by -6221\nAnswer: -38373\/6221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -30*u**3 - u**2 + 2*u - 2. Let j be z(1). Let d = j - -38. Calculate the lowest common multiple of d and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 divided by -31?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26\/230933 or -1?\nAnswer: -26\/230933","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 9*p**2 + 7*p + 11. Let b be o(8). Suppose 0 = z + b*z. Suppose v + 4 = 4*x - z, -3*v - x = -1. Solve v = k + k + 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 2:58 PM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = w + 2*w + 30, 4*u = w + 17. Let o(a) = -a**3 - 26*a**2 + 25*a - 54. Let v be o(-27). Sort 2, w, v, 14 in increasing order.\nAnswer: w, v, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*d**2*m**3 + 3068*d**2*m**2 - 25*d**2 - 2447*d*m**3 - 20*m**3 - 3*m**2 wrt d.\nAnswer: -6*m**3 + 6136*m**2 - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 88 - 79. Let f = 81 + h. Is f a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**3 + 7 + 330*s**2 - 327*s**2 - 1)*(2*s**2 - s**2 + 0*s**2).\nAnswer: 2*s**5 + 3*s**4 + 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 10*m - 391. What is the remainder when s(25) is divided by 47?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -43 + 1234124?\nAnswer: 1234031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 143388 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27144900 divided by 60.\nAnswer: -452415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 8:23 PM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/11, 1165, 0.1?\nAnswer: 1165","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -3, -5*o - 4 = -z - 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -7*s**3 - 37*s**2 + 30*s - 12. Let p(t) = t**3 + 6*t**2 - 5*t + 2. Let z(i) = 6*o(i) + 39*p(i). What is f in z(f) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u**2 + u**2 + 4*u**2)*(-2*u + 2*u - 3*u)*(1 + 5 - 18) to the form a*u**2 + v + p*u + w*u**3 and give w.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 15*f**3 + 17*f**2 + 151*f + 256. Let j(z) = 2*z**3 - z**2 - 2*z + 2. Let s(n) = -35*j(n) + 5*t(n). Let s(a) = 0. Calculate a.\nAnswer: -11, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*d + 3 = 0, 3*m + 5*d = 2*d - 3. Let q(g) = -4 - 9 - 3*g + 4 + 7. Let l be q(m). Which is the biggest value? (a) l (b) 10 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 312 = 18*j - 264. Solve j = z + 29 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, w: 6, n: 4}. What is prob of picking 1 f and 2 w?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 1:24 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and -74681.678358012.\nAnswer: -74681.678358012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7014833 and 125.\nAnswer: -876854125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000250644673 rounded to six dps?\nAnswer: 0.000251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 332100331 (base 4) to base 9.\nAnswer: 427754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.910784ng in micrograms?\nAnswer: 0.001910784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttt. Give prob of sequence tttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/70 + 6\/(-1008)*3.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 - 76030*b - 10282275.\nAnswer: (b - 76165)*(b + 135)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 492, 970, 1446, 1920?\n\"Answer: -t**2 + 481*t + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 10:15 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 20050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 243 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b + 12*b + 5*b - 5*b + 0*b - 92 + 3*b.\nAnswer: 18*b - 92","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13 - ((-9732)\/12)\/(5 + -71) and -133\/1524.\nAnswer: 16764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41 - 9. What is the common denominator of (-46)\/t + 7 + -4 and 17\/20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -426*r + 349*r = 462 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -16700 and 7090.\nAnswer: -9610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9630620 divided by -10.\nAnswer: -963062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + d + 12 = 0. Calculate the remainder when (-6)\/d*-41*1 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 47*w - 68. Let p be d(53). Suppose 5*o - 10 = q - 6*q, q = -2*o - 1. Suppose -q*s + 10*s = p. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -299, -559, -821, -1085, -1351?\n\"Answer: -t**2 - 257*t - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -30 divided by -8918\nAnswer: 15\/4459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -4\/13 (b) 774 (c) 2 (d) 0.0563\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54735701?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 424760246 a multiple of 1587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51724161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(sqrt(32)\/(sqrt(24)\/sqrt(6))) + 5 - ((sqrt(85) + -2*sqrt(85) + sqrt(85))*6)\/(2*sqrt(605)).\nAnswer: sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggqg. What is prob of picking 2 g?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 665, 661, 657, 653, 649?\n\"Answer: -4*o + 669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24531 divided by -17123.\nAnswer: 24531\/17123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/84*-6*(-18)\/15.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1 - 65931773*m + 5387*m**3 + 65931773*m - 182*m**2 wrt m?\nAnswer: 32322","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -o - 13 - 7, o - 4 = 3*r. Let p = o - -15. Solve 3*i = -p - 8 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 7*j**2 + 6*j. Let q be a(-6). Suppose 19 = 2*s + 5*r - 2*r, q = -2*s + 2*r + 4. Calculate the greatest common divisor of s and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 7*i + 7*i)*((0 + 0 - 3)*(4 + 3 - 4) + 1 + 0 - 7).\nAnswer: -225*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4342 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-90)*33*(-15)\/(-9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.00105 - 267628317.\nAnswer: -267628316.99895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -154 - -230. Let z = 75.5 - g. Let p = 6.96 + -7. Which is the third smallest value? (a) z (b) p (c) 4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 400, 406, 412, 418, 424?\nAnswer: 430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, k: 1, l: 1, n: 2}. What is prob of picking 1 l, 1 k, and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/5 of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 341054450.\nAnswer: 2, 5, 11, 620099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 4\/3, -5, -6?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -0.6 (c) -11 (d) 0.6 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3078 or 2\/623?\nAnswer: -1\/3078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*q + 544 = 60*q. Let y = 456 + q. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*j + 4*j + t - 113 = 0, -27 = 3*j - 82*t + 79*t for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -2. Suppose 2*n + z*j + 8 = 0, n + 9 = -2*n - 3*j. Let o(v) = -v**3 - 5*v**2 - 4*v - 5. Let g(y) = y**2 + y + 1. What is n*o(t) - 5*g(t)?\nAnswer: t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -4*m - 72. Suppose 0*d = 3*d - m. Let c = 11 - d. Sort c, 1, 2.\nAnswer: 1, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 448*u - 177*u - 780 = 211*u for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000091029514 rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 346600 to the nearest ten thousand.\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 74788 and 84763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 45 + 2*v + 31.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3002 + 38923 + 19785 = -1300*b + 5810 for b.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 9643.647um?\nAnswer: 0.009643647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/9 and -586116 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -34, -54, -72, -82, -78?\n\"Answer: v**3 - 5*v**2 - 12*v - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -85668 (base 12) to base 10.\nAnswer: -175472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 10:35 AM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + -11. Suppose -29*m + 25*m - 8 = -4*d, 2*d = -m + 4. Put 2\/11, m, u in descending order.\nAnswer: 2\/11, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 419, -124806 in increasing order.\nAnswer: -124806, -3, 419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -299, -1215, -2727, -4823, -7491, -10719, -14495, -18807?\nAnswer: -23643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bcbbbcffcqqqvqzqqf. Give prob of sequence qvb.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 12:15 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1 (b) 6 (c) 29\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 8 = 2*x, 3*x + 3*p + 7 - 4 = 0. Calculate the greatest common divisor of x and 18.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 9*z**2 - 5*z + 6. Let i = 24 - 16. Let v = 0 + i. Does 15 divide m(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 6*y**2 + y - 6. Let m be b(6). Let f = 49 + 21. Let j = 74 - f. Put m, j, 1 in decreasing order.\nAnswer: j, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 547?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*c + 19*c - 11*c + 12*c)*(29 - 50 + 13).\nAnswer: -280*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(490) + sqrt(490) + 1*sqrt(490)*3 + sqrt(490))\/sqrt(10))\/(sqrt(175)*6*5).\nAnswer: sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 9*h - 36. Let b be m(4). Suppose b = 29*v - 66 - 50. Solve -2*o + n + 35 = -4*n, -v*n - 20 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -2\/3, -24.711, 1\/2, -2\/5, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 712.114561 rounded to two decimal places?\nAnswer: 712.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2439 (base 13) to base 7\nAnswer: 20631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -8*v - 10. Let h be b(-7). Let d = -831 - -946. What is the highest common divisor of d and h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2778 - 2778 - 5*l. Let b(p) = -25*p**2. Calculate s(b(n)).\nAnswer: 125*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -2)*((-225)\/15)\/30?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(95)\/(4*sqrt(20)).\nAnswer: -3*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -220103023?\nAnswer: -220103023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 880 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 96.804.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -100, 62, 224?\n\"Answer: 162*l - 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 4*a + 3 = 0, -3 = 3*m - 2*a - 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 2. Let u(j) = -j - 1. Let t be u(-8). Let w = l - t. Which is the nearest to -1\/2? (a) 1 (b) 0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, q: 3, z: 4}. Give prob of picking 2 z.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1*(((sqrt(1331)*3 - sqrt(1331))**2 - sqrt(1331)) + sqrt(1331)).\nAnswer: 5323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31486?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 91*p**3 + 18*p**2 + 13*p - 1137. Let f(j) = -44*j**3 - 9*j**2 - 6*j + 569. Let l(d) = -13*f(d) - 6*z(d). Differentiate l(q) wrt q.\nAnswer: 78*q**2 + 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/6 - (-5)\/(-3). Let l = -9320.051 - -9343. Let z = 0.051 + l. Put x, z, -4\/7 in ascending order.\nAnswer: x, -4\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72270 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*(sqrt(104)*1 + sqrt(104)))\/((sqrt(32)\/sqrt(4) - sqrt(8))*-5 - sqrt(8)).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times -1.16?\nAnswer: -0.0464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27888 by -112.\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2385, 4792, 7201, 9612?\n\"Answer: m**2 + 2404*m - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 47 = 164*m - 191. Let h = 54 - 95. Put 5, -5, h, m in descending order.\nAnswer: 5, m, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {t: 1, c: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 3. Let y = 6.2 + o. Which is the nearest to 0? (a) 0 (b) y (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 5*f - 2. Suppose 0 = v - 3*i - 10, -f*v + 3 = i - 3. Factor o**3 + o**v + 7*o**4 - 2*o**3 - 6*o**5 + 3*o**3 - 4*o**2.\nAnswer: -2*o**2*(o - 1)**2*(3*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 510 - 2053\/4. Calculate the common denominator of -20 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -134 + 32?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -3\/23, 4, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2448 and 3825?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2874703, 5749412, 8624121, 11498830, 14373539, 17248248?\nAnswer: 20122957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from zudddpu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.6 + 0.7. Let g = 21.04 - 0.04. Which is bigger: h or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.81525 years to months.\nAnswer: 21.783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42352 + 69775. Is p a multiple of 277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from ubbbuubuub.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -1. Let j(k) = 2*k - 8. Calculate j(c) - 5*r(c).\nAnswer: 2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10547577?\nAnswer: 3, 197, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 3*j - 66, 29*s - 25*s + 4*j = 64. Solve 3*i + 6 = 2*x, 5*x + i = -0*i - s for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p + 18*p = -7200. Is -289 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*1264.\nAnswer: 2528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 34198*x**2 - 55101*x**2 - 1 + 1 as w*x**2 + y*x + g and give w.\nAnswer: -20903","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*l + 92366 + 45110 = -75932. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24\/137 - 3287\/5480. Calculate the common denominator of a and -57\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6344 - 6645 = 137*j + 8939 - 6995 for j.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-350)\/(-16)*5\/50*4 and -49\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117*-3.\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/66 and -47\/1668.\nAnswer: 18348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 500706?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 2*z - z)*(-4 + 4 + 3*z**3).\nAnswer: -3*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 946210*s - 9206 + 9206 - 946209*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z**2 - 1. Let u(n) = -n - 13. Let s be u(-11). Let j = s + 10. Let q = 9 - j. What is w(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -944727.2 plus 0.0403?\nAnswer: -944727.1597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w - 1 - w**3 - 2 - w**2 + 5. Suppose 0 = 3*j + 4*c + 4 - 10, 0 = -2*j + 3*c - 13. Let s be n(j). Solve s*f + 4 = -2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15564.86 rounded to the nearest 100?\nAnswer: -15600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 9 = 3*q. Let y = -101 - -102. What is the closest to 1\/3 in q, 5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6458 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1773680.29 rounded to the nearest ten thousand?\nAnswer: -1770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3783246407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nxnbnbxxxxxbxxnxxbb. Give prob of sequence bn.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cpt when three letters picked without replacement from pircitu?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zxz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*b**2 + 2*b**2 - 9*b**2)*(1 + 2 - 5)*(-7*b**2 + 4*b**2 + 0*b**2).\nAnswer: -90*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 7*s**2 + 3*s + 8. Let b = 93 - 99. Let z be y(b). Calculate the highest common factor of 78 and z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(6\/4) - -3. Let o = 1 + i. Suppose -r + 24 = o*r. Calculate the greatest common factor of 16 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(4\/3)\/h**(1\/4))**(-21\/2) assuming h is positive.\nAnswer: h**(-91\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37521*i - 37564*i + 1247 for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4*g. What is r(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -20775 >= -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -222.8813 - -222.93818495. Let g = a + -0.0569. Round g to seven decimal places.\nAnswer: -0.0000151","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-552)\/4600)\/(1 - 22\/20).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 29. Let s = t - 11. Let q = 36.957 + s. What is q rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vpgl when four letters picked without replacement from whvwgvwlpwggvvg.\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t**2 - 7*t + 11*t - 10*t**3 - 7*t + t to b*t + y*t**2 + g*t**3 + l and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 42 + -53 + (6 - 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 213263 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.81 + 0.19. Let x = -115 + 185. Let q = -69.5 + x. What is the closest to -0.1 in i, q, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*m**4 - 4*m**3 + 77*m**2.\nAnswer: -792*m - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/49)\/(50\/35)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u**2 + 40*u - 36. What are the prime factors of b(14)?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 84 or 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.11, 58\/5, 0.2 in descending order.\nAnswer: 58\/5, 0.2, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jdamkkpajdjmjdmdpdm. Give prob of sequence jdm.\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2201802, 2201801, 2201800?\nAnswer: 2201799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -11. Suppose i = 2*b - 7 - 37. List the prime factors of 6\/(b\/(-28) - -1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 52*z + 237. Let k be o(5). Let i(r) = 5*r. Let s(h) = 9*h + 1. Calculate k*s(d) - 5*i(d).\nAnswer: -7*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 211*k**2 - 21*k - 3*k**2 - 19*k + 38*k in the form m*k**2 + z + c*k and give m.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*m + 24*m + 41*m - 51*m in the form o*m + l and give o.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3052 - -3052.4. Let z = 8 + -8.3. Which is the third biggest value? (a) -3 (b) w (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2681685228.\nAnswer: 2, 3, 59, 3787691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -7. Let r be y\/36*6\/(-7). Sort r, 0.3, 1.\nAnswer: r, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnninnn. What is prob of picking 1 i and 1 n?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80095561.\nAnswer: 7, 13, 53, 16607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -b**4 - 359*b**3\/6 + 43*b**2 + 11*b. Let x(a) = -2*a**2 + a + 1. Let u(r) = j(r) + 4*x(r). Find z such that u(z) = 0.\nAnswer: -18, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 366454011?\nAnswer: 3, 7, 11, 1586381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 158, 301, 436, 563?\nAnswer: 682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9804675 (base 10) to base 2.\nAnswer: -100101011001101110000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 3*sqrt(7) + -1 - (sqrt(28) - sqrt(1008))*-5) + -4)**2.\nAnswer: 282*sqrt(7) + 15472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*a**2*l**5 + 84*a**2 - 6*a*l**5 - 2*l**2 wrt l?\nAnswer: 1320*a**2*l**2 - 360*a*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 86 = 3*q, -51*c + 50*c = -3*q + 10 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-3)*10\/8. What is j in -4\/3*j**3 - 1\/3*j**4 - l*j**2 - 2\/3*j + 0 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55680, 111601, 167528, 223461?\nAnswer: 279400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39179 is divided by 12822?\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1725 by 345.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, -3\/5, 0.09, 2\/5, 10?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w - 4. Let q be x(10). Let o be (q\/(-18))\/(1\/(-15)). Suppose 2*i = -5*h + 53, -o*i + 0*h + 2*h = -118. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 176 + -1405\/8. Let s = 7705\/4 - 1927. What is the smallest value in s, -0.3, d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 64, 25, -277, 2.\nAnswer: -277, 2, 4, 25, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9166.534 years?\nAnswer: 109998.408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.61 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) 1\/3 (c) -2\/31 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*a**3*j - 229*a**3 + 31269*a + 46233608*j wrt a?\nAnswer: -6*a**2*j - 687*a**2 + 31269","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 11*u + 26. Let m be r(4). Let n = -707\/3 - -233. What is the second biggest value in m, -2\/5, n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*p + 16 = -2*p, h + 3*p - 4 = 0. Let c(i) = -i**3 - 5*i**2 + 21*i + 16. What are the prime factors of c(h)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2494 * 25\nAnswer: -6.235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -171 + 169. Which is the closest to 0.01? (a) d (b) 4 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 54117, 108227, 162337, 216447, 270557?\n\"Answer: 54110*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/6*60\/(-30).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/5 (b) 0.3 (c) -6739\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 218\/195 + -28\/39. Sort x, -0.3, 4\/7 in decreasing order.\nAnswer: 4\/7, x, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7585337868?\nAnswer: 2, 3, 632111489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -10*k**3 + 13*k**2 + 3*k - 1. Let n be x(-4). Suppose 103 = -4*c + n. Does 18 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2476426 (base 8) to base 16\nAnswer: -a7d16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 2*i = 0. Suppose -27 = -3*r - i*r. Calculate the highest common divisor of r and 54.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1238 + -1237.9. Which is the closest to 55? (a) 1\/5 (b) 2\/3 (c) n (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 6*o = -0*b - 22, 0 = 107*b - 106*b + 15*o - 44 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*z - 62*z - 5*c = -30*z - 30, -5*z + c = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 720.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-65)\/(-117)*(1 + 7\/(-5)). Suppose 4*q + 3*s = -0*s + 71, -4*q + 36 = -4*s. Let z be q\/8 - (-54)\/(-72). Sort 1\/7, n, z in increasing order.\nAnswer: n, 1\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -573*d + 15. Let x be h(-1). Let s = x + -400. List the prime factors of s.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-31)\/(j*j**(-17)))\/((j*j\/((j*j**(-34)*j)\/j)*j*j)\/j**17))**(-17\/3) assuming j is positive.\nAnswer: j**(595\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096 a factor of 1317549824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 131635244 (base 7) to base 6\nAnswer: 501220225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*c - 3. Suppose 0 = -c*v + 3*v. Suppose 0 = x + 3*z + 14, 0 = -4*x + 2*z + 15 - 1. Put x, v, 5 in decreasing order.\nAnswer: 5, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11252)\/2784 + 2\/(-24) + 3\/(-8)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 15) to base 4\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14731 != 11180?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -148, -526, -1134, -1972, -3040, -4338?\nAnswer: -5866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 342 != 1147943?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -203 + -2412?\nAnswer: -3120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 239 divide 7560341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.829275 tonnes in grams?\nAnswer: 829275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + 30\/8 + (-2)\/24. What is the nearest to 0.1 in a, -5, -2\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*c + 21 = 0, 3 = -3*v - c - 4*c. Solve 345 = -v*j + 337 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/216 and -61\/120.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1216, 2077, 2938?\nAnswer: 3799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 241. Suppose 0 = -4*r - 0*i + 5*i + 193, 5*r = -i + a. What is the tens digit of 3\/(-2)*(3 - r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 11. What is the derivative of 4 - g*v**3 - 1 + v**3 + 4*v**3 wrt v?\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -3*p - f, 4*p + 4 + 19 = 3*f. Let z be (p\/2)\/(8\/80). Let q = z + 30. Solve -2*r - 14 = -4*o, -q*r - 7*o + 25 = -2*o for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 128*f - 1 + 22 + 115*f + 29 wrt f?\nAnswer: 243","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*h**6 - 47*h**4 - 441833*h**3 + 7127*h**2 - 12*h - 193 wrt h?\nAnswer: 360*h**3 - 1128*h - 2650998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2532, -2892, -3252, -3612?\nAnswer: -3972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15519 is divided by 118?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(0 + sqrt(325)) + sqrt(325) + -1 + -2)**2.\nAnswer: -210*sqrt(13) + 15934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 5, -5 in descending order.\nAnswer: 32, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -4, 0.5, -1\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - -7. Calculate the remainder when 88 is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 3*y - 1. Let m be n(-4). Suppose -6*d = m*d. Suppose d = p - 4*f - 16, p + 17 = -4*f + 1. Solve -3*o + 0*o - 9 = p for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 3 - 40*q**3 - 2 + 3.\nAnswer: -40*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of 7*d**6\/6 - 139*d**3\/3 - 114*d**2 - d. What is the first derivative of f(l) wrt l?\nAnswer: 420*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11906239 less than -120366?\nAnswer: -12026605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -3, -4, 177, 0.\nAnswer: -4, -3, 0, 3, 5, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j - 1. Let w = 6 - 2. Let g be l(w). Let q(p) = 4*p**2 + 8*p + 5. Let s = 16490 + -16484. Let b(h) = 5*h**2 + 9*h + 6. Determine g*b(n) + s*q(n).\nAnswer: -n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 243 - (-2 + 3 + 2). Let h = d - 75. List the prime factors of h.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 9*f + 10. Let o be b(-8). Solve -3*a - 16 = -4*n, o*a = -0*a for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z + 5518 - 5483 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0055382 to five decimal places.\nAnswer: 0.00554","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 3043?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 527642 = -3*d - 3670154, 0 = 2*r - 2*d - 1257008. Suppose r = -4*w + 19*w. What is w rounded to the nearest one thousand?\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 h when four letters picked without replacement from tttattuhuahuuathuu.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10 - -4*5\/(-4). Suppose -17 = 2*a + 3*d - 140, -3*d - 339 = -o*a. What are the prime factors of a?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135 and 27405?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.05 + 0.05. What is the biggest value in 1, 8, o?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 5. Let k = 9 - 10. Let y(o) = 1 + o - 1. Let h(c) = -2*c. Calculate k*h(p) + l*y(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 7*s. Let c(r) = -44*r + 17*r + 1 + 13*r + 15*r. Let u(q) = 31*q - 2. Let a(y) = 2*c(y) + u(y). What is j(a(w))?\nAnswer: 231*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 180 + 5*m**3 - 90 - 2*m**2 + m - 91 + 2*m**4 to g*m**2 + o + i*m + f*m**4 + t*m**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = w - 50, -w - 30 = -3*c - 0. Suppose n + 4*u = 17, -3*n - 2*u + c = -11. What is the units digit of 1\/n + 38\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5207.881 millimeters in kilometers?\nAnswer: 0.005207881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11298, -45357, -102178, -181761, -284106, -409213?\nAnswer: -557082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 167860, 163638, 159416, 155194, 150972, 146750?\n\"Answer: -4222*i + 172082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1302281.12 rounded to the nearest ten thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120 + -101131332123?\nAnswer: -101131332303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - ((-10 - -3) + 3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 98 + -95 - (2 + (-1 - -1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((63\/3)\/7)\/1 - -13856 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 6*b + 47. Let v be y(-7). Solve -2*w + 3 = -3*c - 16, 2*c + v*w = 19 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4241, 8734, 13541, 18662, 24097, 29846, 35909?\n\"Answer: 157*v**2 + 4022*v + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 544 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 7:54 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**3 + 102*q**2 - 5. Calculate t(-34).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -709 (base 10) in base 11?\nAnswer: -595","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 55 = 5*j, 4*j - 49 + 6 = 3*d. Let h(r) = -j + 18 - 3*r**2 - r**3 + 2*r**2. Let o = 3 + -3. Give h(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-24)*-2)\/(((-121)\/(-22))\/11)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 139\/88 + -16\/11. Let k be ((-4)\/(-10))\/((-9)\/(-5)). Let g(d) = d**3 + 250*d**2 + 2622*d - 1672. Let q be g(-239). What is the nearest to q in 1\/5, k, j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 7*v**2 + 4*v - 8. Let h = 137 - 59. What is the remainder when h is divided by a(7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6797, -6799, -6801, -6803, -6805, -6807?\n\"Answer: -2*d - 6795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-44)\/((-77440)\/30))\/((66\/(-8))\/(-11)).\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jwbrbsxsbrrx. Give prob of sequence xxj.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -78960*n**3*p**3 - 5*n**3*p*y - 29*n**2*p**2*y + 52*n**2*y - 4*n*p**3*y + 147*n*p + n wrt n.\nAnswer: -473760*p**3 - 30*p*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2402 less than 0.85?\nAnswer: 0.6098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 30*i**2. Let k(m) = -403*m**2. Determine h(k(s)).\nAnswer: 4872270*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*7\/28*(-4)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1924, 1925, 1926, 1927, 1928?\nAnswer: 1929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 69 + 2 - ((-31 - -3) + (13 - -4))?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2070*l**3 + 2028*l + 14715609 wrt l?\nAnswer: -6210*l**2 + 2028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1425 by 95.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -16. Suppose -2*i - h = -12. Let k(n) = -n**3 + n**2 + n + 1. Let f be k(0). Sort f, -3, i in descending order.\nAnswer: i, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -348*a + 338*a + 30 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175 = 2*d + 173 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 130564 - 208564. What is x rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41387?\nAnswer: 41387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1111 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 5*r + 2*p + 13, -3*r - 10 = -4*p for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 526556900?\nAnswer: 2, 5, 853, 6173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -259*r + 2079. Let w be u(8). Solve 7*k = 14 - w for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/612 and 63\/1156.\nAnswer: 10404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.576 and -126242260?\nAnswer: 126242260.576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -353564 by 12.\nAnswer: -88391\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -2, 1\/2, 0.1, -9, 6 in decreasing order.\nAnswer: 19, 6, 1\/2, 0.1, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31516661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43 + -64. Let n = 104 - p. Does 16 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-16)\/36)\/(-4))\/(9490\/8541)*(-2)\/8.\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/28 and -41\/172.\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.034*-2.\nAnswer: -0.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -322 + 336. Put 1, -4, z in descending order.\nAnswer: z, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -8*m - 3. Let n be 1 - (2 - (1 - m))*-1. Let k = -0.7 - 0.3. What is the third biggest value in n, 4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/7 (b) 0.2 (c) 457 (d) -0.5 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) -249 (b) -5 (c) 0.1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 98\/5 of a meter in centimeters?\nAnswer: 1960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/7 + 10218*t**2\/7 - 13035600*t\/7 - 39198816\/7.\nAnswer: -2*(t - 2556)**2*(t + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 51\/((-4)\/(-28 - 4)). Let y = -403 + v. Solve -7*c = -y*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 6. Let k = -1 - j. Solve k = u + 1 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 413483*w**2 - 790610*w?\nAnswer: 826966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1106644 rounded to three decimal places?\nAnswer: -0.111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 45089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 5 - 5. Suppose -q*r = 4*z - 88, z - 19 + 7 = 2*r. Solve 7*b - z = 2*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83690 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4 = -2*b, 0*b - 3*v = b - 3. Suppose 2*c + b = 8. Solve 2*j = -8, l + 10 + 11 = -c*j for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17620 or 52862\/3?\nAnswer: 52862\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(2\/(-1 - -2)). Let m be (t + 0)\/(-7 + 6). Suppose m = -k + 8 + 19. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 559850 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = p - 2*t - 6, 2*t + 6 = -3*p. Suppose p = -z - 0*z + 1543. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 f when three letters picked without replacement from {i: 1, e: 2, q: 1, f: 2, w: 1, t: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w - v + 3*v - 66, -370*v = -2*w - 376*v + 170 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*l + 5 - 5)*(469 + 217 + 395 + 723) to the form p + b*l and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 292?\nAnswer: 292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 20*s**2 + s - 18. Let o be v(20). Suppose -3*p = -o*p. Suppose -5*l + 0*l + 3*w + 375 = p, -l + 5*w = -97. Is l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4260 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: -11 + 2 + (-528)\/(37 + 7)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2907168?\nAnswer: 2, 3, 11, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3945 + -2685. Is 28 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 6:39 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 970, 979, 1002, 1045, 1114, 1215, 1354, 1537?\nAnswer: 1770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n, 2*a - 1259 = n + 1463. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1550 - -1550. What is the fourth biggest value in -13\/5, p, -0.4, 4?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.29 (b) -3 (c) -3\/2 (d) 2\/15 (e) 49 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 4:11 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -1. Let r(o) = o - 10. Let v(s) = s - 20. Let l(j) = h*r(j) - 3*v(j). What is l(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -10*a**2 + 482*a = 0.\nAnswer: 0, 241\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/70*41\/((-3444)\/210). Which is the closest to r? (a) -7 (b) 1.07 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -327632 + 466710. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 41684854, 41684852, 41684850, 41684848, 41684846, 41684844?\n\"Answer: -2*r + 41684856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnhhhhhhh. Give prob of sequence hn.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 310034863?\nAnswer: 239, 1297217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1)*x*x)**(-15)*x**0*x*x*x\/((x*(x*x*x**(1\/3)*x)\/x*x*x*x)\/x)*((x*(x\/(x\/(x\/(x**5\/x))))\/x)\/x)\/x**(-3)*x**(-4)*x**1 assuming x is positive.\nAnswer: x**(-64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v**2 - 8*v - 31. Does 14 divide t(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223*b + 15253062*b**2 - 15253074*b**2 - 223*b.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 202703777?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 - -0.2. What is the third biggest value in -2\/13, j, -2\/17?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 7*u + 136. Let i = 50 + u. What is the lowest common multiple of i and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 4 + 0)*(7*r - 4*r - 2*r)*(-162 - 280 - 125) to i*r + l and give i.\nAnswer: -567","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.06 (b) -0.2 (c) -2 (d) -225 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 885895539 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.8 - 4.8. Let l = 121 - 122. What is the nearest to 10 in v, 4, l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1455*n - 1455*n + 11*n**3.\nAnswer: 11*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7546978 and 2914?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/(-4))\/3*(-8)\/2. Let f be (0\/(-2))\/(l + 24\/4). Solve f = b - 7 + 2 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*2\/((-16)\/6). Let n(w) = 4*w**3 + 4*w**2 - 4. Let g(i) = 5*i**3 + 3*i**2 - 3. Let q = 19854 - 19850. Calculate q*g(k) + x*n(k).\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 1288*m + 3. Is w(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-439 - -437) + (-1 + 1 - 0) + -4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, 3, -5, -0.5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45 - -19 - 5) + -11 + -4.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 40720 or 41691?\nAnswer: 41691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -89371856 and 0.2.\nAnswer: -17874371.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 381880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4 = -3*j, 8*j - 3*j - 13 = 2*k. Solve -6*v + 2*v + j*o = -20, 2*o + 10 = v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10069 - -2334.9\nAnswer: 12403.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 14013 (c) -0.2 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3009 and 177?\nAnswer: 3009","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8481.369 hours in milliseconds?\nAnswer: 30532928400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 116 + 32*d - 61*d + 30*d - 13 to t + j*d and give t.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a + 61. Let q(o) = 709*o**2. Give q(w(j)).\nAnswer: 2836*j**2 - 172996*j + 2638189","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (876\/511)\/((-9)\/42).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 497 and 5.\nAnswer: 2485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16\/57 + 1534\/627. Factor 42\/11*f - 54\/11*f**2 + b*f**3 - 6\/11*f**4 - 12\/11.\nAnswer: -6*(f - 2)*(f - 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4918 is divided by 121.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -923 and -1258 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -210*f**2*u**2*z**2 - 5*f**2*z**2 + 321*f*u**2*z**2 + 2*f*u*z**2 - u**2*z**2 - 3*u**2 wrt f.\nAnswer: -420*u**2*z**2 - 10*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 15*r - 15. List the prime factors of o(12).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -30 - 158 - 48 - 10 + 20 - 47*z. Calculate the remainder when 139 is divided by s(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(420) + sqrt(420)*1) + sqrt(420))\/(sqrt(48)\/sqrt(4)*5))\/(sqrt(21)\/(sqrt(24)\/sqrt(8)) + sqrt(28)\/sqrt(4)*2).\nAnswer: sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, o: 1}. Give prob of picking 1 o and 1 c.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 2) + (11 - (-2 + 5))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.07 + -1.21. Let d = -0.04 - n. Let s = d - 0.1. Put 5, s, -5 in decreasing order.\nAnswer: 5, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(847) - (sqrt(847)*-1 + sqrt(847))*-5 - (-1*sqrt(847) + -2))*2 + 2)*6 + 3 + -4)**2.\nAnswer: 18480*sqrt(7) + 489097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d - 80 - 32*d**2 + 25*d**2 - 47 - 35*d**2 wrt d?\nAnswer: -84*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(60\/5))\/(80\/(-8))*345\/3\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*g**2 - 2104*g + 2*g**3 + 2104*g.\nAnswer: 2*g**3 + 13*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = v - j, 3*v + 2*j = 4*v - 3. Let h(y) = -y**2 - 27*y - 17. Let q be h(-26). Solve -v*w - q + 24 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 357 + 778. Let w = 2898 - 2992. Let p = w - k. Does 19 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify n**26*n**(-13) assuming n is positive.\nAnswer: n**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3*z - 4)*(-59662*z + 34105*z + 43962*z).\nAnswer: 55215*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (4 + -4 - -3) - 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -35 and -36 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 - h**3 + 4*h**3 + (-2 + 2 - 2*h**2)*(0 + 0 + 2*h))*(3 + 0 - 4 + 9*h**2 + (-3*h - 15*h - 14*h)*(2*h + h - 4*h)).\nAnswer: -123*h**5 + 3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 695 - 2*t**3 - 2*t**3 - 424 as p + k*t + b*t**3 + f*t**2 and give p.\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - q + 1158 = 0, -5*p + 0*q = -2*q - 1441. Let t = -195 + p. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 78*q**2 + 94*q + 13706. Determine o(-79).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19206)\/3927 + (-24)\/(-136) - -7?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -38403*m + 37727?\nAnswer: -38403","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.005679 millilitres?\nAnswer: 0.004005679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two ninths of a week?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 12) in base 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5088)\/(-265) + (-2)\/10. Solve 0 = -2*s + 2*f + 2, -p = 5*s + 3*f - 0*f for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 14*b - 8. Let m be h(15). Let k(a) be the second derivative of a**4\/12 - a**3 + 11*a**2\/2 + 1987*a - 2. Determine k(m).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*c - 434 - 14*c - 3*c**2 + 5*c**2.\nAnswer: 2*c**2 + 60*c - 434","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -77.02513 to one decimal place.\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**2. Let n(i) = -1268*i**2. Give n(p(x)).\nAnswer: -5072*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 5*v + 70 + 214, -3*v - g = 176. Let u be (-10)\/(-15) + 46\/v. Put u, 5, -0.2 in decreasing order.\nAnswer: 5, u, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 19 = -20. Suppose 17*p = f*p + 4. Is (151 - 0) + (-2)\/p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*a = -6555 + 13323 for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 402 and 220650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*g**2 - 274*g - 885.\nAnswer: 6*g - 274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/4*(-8)\/(-6). Let d be 3 + (-1 - (x + 1)). Let y(i) = -2*i - 1 + d*i + 0*i. Determine y(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/97852 and -1\/23664?\nAnswer: 34052496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 140 and 1610.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152 = 101*j + 557 + 99 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**3\/2 + 1215*s**2\/2 - 133549*s + 6958068 = 0.\nAnswer: 78, 188, 949","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 23193262 and -0.3.\nAnswer: 23193261.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 10)\/(8\/(-10)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 91 and 106.\nAnswer: 9646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6318 and 111620?\nAnswer: 352607580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 6 = 4*m, m - 15*v + 6 = -20*v for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -723003 (base 8) to base 15.\nAnswer: -4aca7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwdwwwdwww. What is prob of picking 3 w?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7108, -7195, -7332, -7513, -7732?\n\"Answer: i**3 - 31*i**2 - i - 7077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 4*a - 28 = 0, 4*h - a + 0 = -18 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -66, -14, 5, -7\/5, 0.05, -0.5?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - -4*4\/8. Suppose -3*p - 2*p = 2*o - 65, 0 = p - s*o - 13. Calculate the greatest common divisor of p and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -217*l - 6. Let t(w) = -88754*w - 2453. What is -2453*s(m) + 6*t(m)?\nAnswer: -223*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11a5 - 34?\nAnswer: -1209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, i: 1, j: 1, a: 3, n: 5}. Give prob of picking 1 z, 1 j, 1 n, and 1 i.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2\/17, -2\/15, -1\/22, 8, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*g**2 + 315*g**3 + 123*g**2 + 376*g**3.\nAnswer: 691*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -31.7, 5, 0.4, -6456?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 236 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + v - 79 - 241 = 0, -5*p + 5*v = -1640. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + 14. Let y = 118\/5 - g. What is the smallest value in y, 1\/7, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**3 - 13*j**2 + 5*j - 91. Calculate y(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.08 - -0.4. Let w = y - 0.08. Let s(n) = n**3 - 6*n**2 + 1. Let l be s(6). What is the third biggest value in w, l, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (625 - 360 - 444)*(-11*h**3 + h**3 + h**3) + 0*h + 2*h**3 + 0*h in the form l*h + y + n*h**3 + q*h**2 and give n.\nAnswer: 1613","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 41 (b) -2 (c) -14.5 (d) -1\/14 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 0*w + w + (0*w + 2*w + 0*w)*(4 - 3 + 1))*(w**3 + 5 - 5)*(-1215 + 1215 - 197*w) + (-w**2 + 0*w + 0*w)*(-3*w**3 - w**3 + 6*w**3).\nAnswer: -987*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c + 2. Let u(a) be the first derivative of -a**5\/30 + 7*a**4\/24 - 7*a**3\/3 + 7. Let r(p) be the third derivative of u(p). What is -7*d(f) + 2*r(f)?\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/30)\/(5*10\/125). Let v = -1.2 + 1.7. Put v, p, 5 in decreasing order.\nAnswer: 5, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1449538 - 2899072 - 2*q**2 + 1449535.\nAnswer: -2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/3))**(-1\/65)*h**(-2\/3)*h*h**3 assuming h is positive.\nAnswer: h**(216\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 965\/36 - 109\/4. Let x(m) = -m**2 - m - 2. Let k be x(-2). What is the nearest to -2 in k, p, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m + 9. Let q be y(-6). Suppose -b = -q*b + l + 8, 0 = 5*l. Suppose g = -2*a - 2*g + 16, -b = 4*a - 3*g. Solve 0*c + a*c + 10 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6899298 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2815596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w - 25. Let u be h(-29). Suppose v - 4*v = -5*k - 144, 12 = u*k. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.247 (b) 0 (c) 0.2 (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -124827, -249666, -374505, -499344, -624183, -749022?\n\"Answer: -124839*a + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -349.1655 times 0.3\nAnswer: -104.74965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 23*v + 8. Let s be n(-23). Suppose s*f - 43 = -75. Which is the third smallest value? (a) 0 (b) -1\/5 (c) f (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -n**5\/20 - 7*n**3\/3 - 1327*n**2. Let u(t) = 5*t. Calculate o(u(p)).\nAnswer: -75*p**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 67.1, -1\/3, -2\/5, 222\/5?\nAnswer: 222\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -24*p + 3. Determine n(2).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jm when two letters picked without replacement from {m: 2, j: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32513740 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 2*g**2 + 5*g - 6. Let t be x(3). Suppose -16*w + 138 + 902 = t. Calculate the remainder when w is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 - 40. Put y, -0.7, 0.2, -1\/3 in descending order.\nAnswer: y, 0.2, -1\/3, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-1)*(-7)\/28*4. Let u = -1\/2 + 7\/6. Which is smaller: u or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 5*n - 26, -21*d + 22*d - 4*n - 21 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1997.\nAnswer: 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (1 + 1) - -12\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -67056*v**6*x - 9*v**4*x**2 - 13*v**2*x**2 - 2*v*x**2 - 17*x**2 + 3*x - 5 wrt v.\nAnswer: -8046720*v**3*x - 216*v*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, x: 3, f: 1}. What is prob of picking 3 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2349792?\nAnswer: 2, 3, 41, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 0.13, 1.1377, -0.4, 0.02 in increasing order.\nAnswer: -10, -0.4, 0.02, 0.13, 1.1377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1031*j**3 + 4*j**2 - 4301 - 7*j**2 + 2288 + 2257 wrt j?\nAnswer: -6186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4\/7 - 284*c**3\/7 + 15122*c**2\/7 - 51120*c + 453600.\nAnswer: 2*(c - 36)**2*(c - 35)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 7. Solve -4*y + 9*y - n = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 3568?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4 - 496*o**3 - 38016*o**2 - 619520*o + 21807104.\nAnswer: -2*(o - 16)*(o + 88)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 8*h + 12. Is h equal to -7\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92952175 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -25*u**2 + 4*u + 6. Let q(o) = -26*o**2 - o + 1. Let f(c) = -b(c) + q(c). Give f(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 23466.1.\nAnswer: -4693.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000199855 rounded to 7 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 60 + 1351. Calculate the greatest common factor of l and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 3522 = j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 453116518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2043 - 50?\nAnswer: -2133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7238973 to the power of 1\/3, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -o**4\/6 - 5*o. Let c(i) = 2*i**2. Calculate c(x(y)).\nAnswer: 8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 409561 (b) 1.22 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159 = -9*x + 3*r, -4*x = r - 24716 + 24650 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -911 + 916. Let p(w) = w**2 - 7*w + 8. Let n be p(6). What is the first derivative of -6 - n*c**2 - 2 - 1 - a*c**2 wrt c?\nAnswer: -14*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29354533 to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*k - 266 = 0, 0*l + 87 = l - k. Suppose g - 3*g - l = 0. Find the common denominator of g and 17\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123 divided by -3?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -141489?\nAnswer: -141489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -12101202102 (base 3) in base 9?\nAnswer: -171672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.61952 and 10298085.\nAnswer: 10298083.38048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**3 - 83*h**2 + 40*h - 93. What is d(-42)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*x = -18*x + 85*x - 606 - 2304 for x.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + w + 1367209, -1093754 = 8*b - 12*b + 3*w. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5337\/5 + -176251\/165. Let v be 219\/(-146)*(4\/(-6))\/(-1). Is v bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.37 and -15953808403190.\nAnswer: -15953808403190.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 385*o - 17*o + 7*o**3 - 5*o**3 - 38*o - 4*o**3 to the form j*o + a*o**3 + c*o**2 + z and give j.\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 287 = -6*a. Let x = a - -431. Does 20 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/(-153) - (-20)\/36.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2263, -9163, -20701, -36877?\n\"Answer: -2319*x**2 + 57*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5105769 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3 + -210*(-9 - -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40675 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 85 + -82. Let h(y) = 0*y - 2*y + c*y + 0*y. Let r(t) = 19*t**2. What is h(r(j))?\nAnswer: 19*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 4*f - 236 = 5*f, 4*a = -2*f + 328. What is the greatest common divisor of 16 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270 = 6*y + 234. Suppose w + 1 = 2. Sort y, 2, w in increasing order.\nAnswer: w, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0\/(l\/(l\/l**(4\/5))))**(2\/43) assuming l is positive.\nAnswer: l**(-8\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 64 - 3*m + 35.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 203521 - 4010?\nAnswer: 166511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1422110 + 2\nAnswer: 1422112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1470935, 2941943, 4412955, 5883971?\n\"Answer: 2*d**2 + 1471002*d - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 4:24 AM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**3 - 2*v**3 + 5*v**3)*(3*v + 6703*v**2 - 6704*v**2 - 25 - 8*v).\nAnswer: v**5 + 5*v**4 + 25*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and 2642.\nAnswer: 2647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/6 - (19 + -15).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 97 - 66. List the prime factors of a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1466*s**4 + 765*s**2 - 2918*s - 164.\nAnswer: -17592*s**2 + 1530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 579336, 579341, 579350, 579363, 579380, 579401, 579426?\nAnswer: 579455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1724716 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -m + 2, 0 = 5*d + 2*m - 17302125 + 17302135 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12905 and 145.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -132974.91699814 - -132974.72. Let d = 0.197 + p. Round d to 7 decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x + x + 6459*x**3 - 17334*x**3.\nAnswer: -10875*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -222002001 + -111321?\nAnswer: -222113322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in 67, 0.2, 2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 91*t**3 - 45*t**2 - t - 31. Let s(g) = -90*g**3 + 50*g**2 + g + 32. Give 10*a(l) + 9*s(l).\nAnswer: 100*l**3 - l - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 n, and 1 m when four letters picked without replacement from {e: 2, b: 1, o: 1, n: 2, m: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -13. Let g = c + 3. Suppose p - 3*q - 12 = 0, 4*p + q - 3*q - g = 0. Solve 4*i + 20 = -p*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.26 - -4.26. Let g = 2.1 - 2.2. Sort g, 1\/4, q, 6\/11 in descending order.\nAnswer: q, 6\/11, 1\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 g when three letters picked without replacement from {g: 2, j: 3, x: 9, p: 5}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -147.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 53255*(1\/(-5))\/(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 + 25731*s - 154278.\nAnswer: -3*(s - 8571)*(s - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -149446, -298874, -448302, -597730, -747158?\n\"Answer: -149428*f - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121958 - 126174 = -136*k for k.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 + (-21)\/9)*-3. Let a = -19 + l. Suppose a*i - 20 = -i. Does 4 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**2 + 43*c - 33. Let p be a(20). Suppose 3*v + 2*v = 1080. What is the highest common divisor of p and v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11119687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**6\/y)\/y)\/y**(-1\/4))\/((y\/y**0)\/y**(1\/8))*(y*y**(-2\/19)\/y*y**3\/y)**(-7\/6) assuming y is positive.\nAnswer: y**(177\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 1 + 5*o**2 + 9*o - 3*o - 8 - 4*o**2. Calculate j(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2385990331.\nAnswer: 379, 6295489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(9)\/sqrt(3) + 2)**2*4.\nAnswer: -56 - 32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4 - 4786*d**3 - 67200*d**2.\nAnswer: d**2*(d - 4800)*(d + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-114))\/((-43)\/(-645)*60\/12)*-2.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1960)*-1)\/((1*sqrt(504) - sqrt(14))\/sqrt(7)))**2.\nAnswer: 196\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jhs when three letters picked without replacement from smasasvmmmhsmmj.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 367 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 16 = 2*s. Calculate the smallest common multiple of (2 - 3) + 10 + 1 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 13. Let n(l) = -5*l**2 - 2*l + 1. Let q(s) = 11*s**2 + 5*s - 3. Calculate c*n(p) - 3*q(p).\nAnswer: 2*p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2104301?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10562155915 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 1ed1a?\nAnswer: 1ed1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 58 - 54. Suppose 4*x + 2692 = u*v, 0*x + 5*x - v + 3373 = 0. Let o = x - -1382. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.14 + 0.16. Sort 2\/17, 2\/7, k.\nAnswer: 2\/17, 2\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 + 51. Suppose -3*j = -4*b + i, 5*b - 17 = -j - 2*j. Let c(r) = -r**3 - 1. Let l(p) = 8*p**3 + 0 - p**3 + 4 + 0. Give b*c(d) + l(d).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*j. Suppose j = -2*n - 1 + 5. Let r = -819 - -823. What is the fourth biggest value in n, -2, -3\/4, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(2\/3) - (-502)\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven quarters of a milligram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1235301?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1609, -2070, -2829, -3886, -5241?\nAnswer: -6894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -12. Let x = i - 3. What is the second biggest value in x, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -m**6\/60 + m**5\/20 + 7*m**4\/24 + m**3\/3 + 8*m. Factor r(t).\nAnswer: -t*(t - 4)*(t + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2\/7 - 5612*k\/7 - 22384\/7.\nAnswer: -4*(k + 4)*(k + 1399)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0681 to 3 dps.\nAnswer: -0.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - a**2 + 2*a - 1. Let z be h(-2). Let i(t) = -13*t**2 - 1 + 36*t**2 - 22*t**2 - 19*t**3 - t - 2*t**3. Is i(z) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.9 - 0.72. Let n = -34.68 + 31. Let t = s + n. Round t to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -g**7\/280 - g**6\/144 - g**5\/20 + 28*g**2. Let x(o) be the third derivative of w(o). Differentiate x(c) wrt c.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10 and -2474.64?\nAnswer: 24746.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 184637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 417560.8 days to hours.\nAnswer: 10021459.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-7)*3218\/(-8045)?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (17 - 10)\/(-1 - 9\/(-6)). Let a be -4*6\/4 + u. Solve -7 = 5*l + 4*n - 2*n, -3*l = 5*n + a for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -g + 8, -5*q = -2*g + g + 4. Let y = -4 + g. Suppose 0 = -4*v - 4*r, 2*v + 4 = 3*v - 3*r. Calculate the greatest common factor of y and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -74524*a*u*z - 16*a*u - 2*a*z - 5*u*z + 196675*u wrt z?\nAnswer: -74524*a*u - 2*a - 5*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2100 and 1050.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.3, 1230, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + (-10 - -44) + -34?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53c9a (base 13) in base 5?\nAnswer: 14322201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.04 - 0.06. Let f = 0.051 - 42.051. Let p = f + 42.3. Which is the second biggest value? (a) p (b) h (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16131?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 13*o - 595. Let t be g(46). Solve x - t*y = -11, 23 = -x + 5*y + 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 509472 divided by 127368?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(6\/(-24) + (-81)\/(-36)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10966, -21799, -32632, -43465, -54298, -65131?\nAnswer: -75964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 8:05 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 97417562 and 2046.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 144 + 393. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 29196892 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 290100.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.5 (b) -0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19823 and 1509601.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3307*y + 9608. Determine u(3).\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -933480190*n**3 + 926671243*n**2?\nAnswer: -5600881140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*c - 20 = -5*j, 0 = -4*j + 5*c + 22. Suppose 4 = -j*b + 68. Suppose 0 = -b*h - 2*h + 1170. List the prime factors of h.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-8))\/7*(-12)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 2 (b) 5\/31 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*z + 36 = 0. Which is greater: 37 or z?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(-2 + -3 + -16). Let h = 67 - i. Solve -4*u - 4 = h*q, 6*q = 3*q + u - 15 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, f: 4}. What is prob of sequence wfw?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 813 and 105.\nAnswer: 28455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5\/8407 + 109336\/75663. What is the biggest value in -8, 0.2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4*i**2 + 3*i - 1. Let a be o(1). Let v be (-224)\/4*a\/(-7). Calculate the greatest common divisor of v and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 5\/2*s**2 - 2\/3*s**3 + 3 + 4*s. Calculate r(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72900299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1196110?\nAnswer: 2, 5, 119611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) -3\/17 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-21)\/3)\/(160\/360)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1391 is divided by 22.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -15\/161 (b) -1\/3 (c) 236 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5893.636m in millimeters?\nAnswer: 5893636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4217.2 + -4221.2. What is the closest to -1\/4 in d, -0.3, -1, 2\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*i - 4*i - 8*i)*(-2*i**2 + 0*i**2 - 3*i**2 + (2 - 4 + 1)*(i**2 + i**2 - 6*i**2)) as k*i**3 + t*i + j + g*i**2 and give k.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/9 + 2*g**2\/9 + 8*g\/3.\nAnswer: -g*(g - 6)*(g + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n + 2 = -10*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-38)\/(-14) + (-2)\/(-7) + -2. Let a(z) = -z**3 + 5*z**2 - 4. Let p be a(5). Let n be y - -1 - 0 - p. Solve -n*f = -f + 15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -125c71 (base 13) to base 3\nAnswer: -211102122121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 678*i**3 - 9*i**2 - 20*i + 104. Is w(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-3\/2)*a\/a**(-1\/4))\/((a**(-2\/19)*a)\/((a\/a**2)\/a)) assuming a is positive.\nAnswer: a**(-163\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 130 + -62. Let p = t + -70. Sort 1, -1\/8, -7, p.\nAnswer: -7, p, -1\/8, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/9, 21, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 1040 = 4*v, -166*s - 498 = 2*v - 165*s. Sort -6, v, 1 in decreasing order.\nAnswer: 1, -6, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 90.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 + 195. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.53 to 0 decimal places.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/20)\/((6\/3)\/(-1)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*r)*(-r + 0*r - r) + 2*r**2 - 3*r + 15*r - 4*r.\nAnswer: -2*r**2 + 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 30225.899 to the nearest one hundred.\nAnswer: 30200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*j - 8 = 0. Let g(s) be the second derivative of s**4\/12 - 2*s**2 - 10*s. Calculate g(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56 + 20559\/(-385))\/(3\/(-45))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-3) - 0)*360\/(-8). Let n(s) = 3 + c*s + s**3 + 3*s**2 - 47*s - 9*s**2. Does 31 divide n(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.02 - 5.62. Which is the second smallest value? (a) 1\/2 (b) t (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.029414 rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of 1\/1008*v**8 + 0*v**3 + 2*v**2 + 0 - 1\/180*v**5 + 1\/630*v**7 + 0*v - 1\/360*v**6 + 0*v**4. Solve j(o) = 0 for o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -0.4 (c) -3030\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o**2 + 3*o. Let h be j(0). Which is smaller: h or -2\/1255?\nAnswer: -2\/1255","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -70912472*k**6 + 2*k**2 - 149858*k - 1?\nAnswer: -8509496640*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j - 2. Let n(d) = d + 10. Let q be n(-5). Let l be g(q). Suppose -p = 4 - 6, l*y - 1029 = -3*p. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10217.3 to the nearest 100.\nAnswer: -10200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 646.6641367 + -646.67. Round f to 4 decimal places.\nAnswer: -0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5*-381*426\/90 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ra when two letters picked without replacement from {w: 6, a: 5, u: 3, m: 1, s: 1, r: 1}.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -555096 divided by -12?\nAnswer: 46258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 + -20. Which is the third smallest value? (a) -3 (b) p (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (3 + 1 - 6) + 16\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52) + 2 + -1 + (sqrt(91)*-2)\/sqrt(7)*-5 + 1.\nAnswer: 2 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8138.321ml in litres?\nAnswer: 8.138321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 1 + 2 = 0. Let t be 1*(k - -1) + 4. Let c be (-3 + 3)\/(2 + -3). Solve t*o = -5*m - 8, c = m - 4*m for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -92416 + 30792. Let w = j + 106386. Suppose -55238 = 2*g + w. What is g rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14 + 15812*u**2 - 15812*u**2 + 100*u**3 wrt u.\nAnswer: 300*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 5:30 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2 + 48*c + 49. Determine z(-27).\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -29, -0.2, 28, 3, -1\/8, 4\/7, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*i - 14 + 14)*(3 + 0 - 1) + 3*i + i - 2*i.\nAnswer: 72*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) + 2*sqrt(18)*1)\/sqrt(6) + (1*sqrt(1920))\/sqrt(10))**2.\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6828\/5 - -1359. Find the common denominator of 4\/22 + (-2114)\/132 and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4975 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*a + 14*a + 7688 = 191*a - 9316 for a.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10371466?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/4 and 5\/9423902?\nAnswer: 18847804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 10*y**2 + 10*y - 7. Let r be j(9). Let p be (-62)\/22 + r\/(-11). Let i = -4 - -6. Sort i, p, 3\/5.\nAnswer: p, 3\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -10012212?\nAnswer: 10020001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m + 16. What is the tens digit of u(20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (94\/(-6))\/(2\/(-6)). What is the highest common divisor of 1269 and d?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*c - 5*c - 6*c - 13)*(2 - 2 - 1).\nAnswer: 2*c + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(210)*1*-2)\/(sqrt(567)*-2))\/((sqrt(42)*-2 - sqrt(42))\/sqrt(7) - (sqrt(726)*2 - sqrt(726)))*-6.\nAnswer: sqrt(5)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.05 - 7.05. Let k = t + 6.5. Let x = 2.07 - 0.07. What is the closest to 1 in x, k, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 6:22 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 e when four letters picked without replacement from jjejeaeejjj?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 134443240?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -30624211785 and 592?\nAnswer: 30624212377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 146*b**2 + 1608*b + 5. What is n(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o - 6. Let b = -680 - -686. Let l(v) = -4 - 9 + 5*v + 6. What is b*l(s) - 7*j(s)?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 260360 plus 11552?\nAnswer: 271912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1311031330 + -10?\nAnswer: -1311032000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -3*h**2 + 32963694*h + 329637240 = 0.\nAnswer: -10, 10987908","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k + 88 = -48. Solve -k*p = -10 + 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 611 - 610.99062. Let n = 54.54938 - j. Let r = 55 - n. Round r to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence opsh when four letters picked without replacement from {s: 2, o: 8, h: 3, k: 2, p: 4}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.26 + 8.24. Let v = k + -81.5. Let d = v - -68.7. Round d to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -2 + (-14 - -7) + 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*-1*18\/27. Let l be 0\/s + (2 - -7). Suppose -5 = r + 2*y, -4*y + 23 = r - l*y. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69251.64 * -7\nAnswer: -484761.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5414 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2863323 and 57902754?\nAnswer: 521124786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -514669255*d**2*u**2 + 13*d**2*u - 14*d**2 + 2*d*u + 1446*d - 5*u + 3 wrt u.\nAnswer: -1029338510*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/24 and -133\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, 0.1, -204, -0.88, -4, 2\/3?\nAnswer: -204","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.162645 to three dps.\nAnswer: 0.163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2604 divided by 651\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 8, 9?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9972500 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaaaaaaaqaaaaa. Give prob of sequence aaqa.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56555620?\nAnswer: 2, 5, 11, 23, 11177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -74*h**2 + 4*h + 4. Let a be r(-2). What is a rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((((sqrt(72) + 0)*-5)**2 - sqrt(72)) + -5)*-5.\nAnswer: -90*sqrt(2) + 26925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4671 - -5122. What is the remainder when y is divided by 227?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4284657*v - 7. Let r(w) = w**2. Calculate f(r(b)).\nAnswer: -4284657*b**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 11*f + 3*f)*(-5*f**2 + 3*f**2 + 0*f**2)*(138*f**2 + 147*f**2 - 309*f**2).\nAnswer: 624*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppzpzppppzzzzpzzz. Give prob of sequence pp.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 5)*(-6)\/45*-9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15226 = 1280*b + 25273 + 3021 for b.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1872) - sqrt(1872)) + 0 - sqrt(1872))*1 - (-6*5*-1*sqrt(325))**2.\nAnswer: -292501 - 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 249*f = 284*f - 64120. List the prime factors of f.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -46?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12133530 + 201?\nAnswer: -12133325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*y - 3477 + 3582 = 0 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*f + 17*f + 11*f - 120*f + 76*f.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 2 (c) 4 (d) 5 (e) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 4:49 PM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2861 - 238 - 622 + 2*d.\nAnswer: 2*d - 3721","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 254 = 1050. Suppose 5*w + t = 31. Let y = w + 125. List the prime factors of y.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2103927 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: Suppose -4*w - 308 = -2*p, -3*p + 84 = -3*w - 369. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2046 - 62 - 439 = -283*x for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -77*w**3 + w**2 + 13. Let h = 463 + -466. Is 12 a factor of c(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x**5 - 3381*x**4 - 124158*x**3 + 828276*x**2 + 214776*x = 0.\nAnswer: -38, -1\/4, 0, 6, 314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*c*y*z + 218286*c*z + 2518*c - 375*y wrt z.\nAnswer: -2*c*y + 218286*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + 196 + 1533*w**3 + 1575*w**3 - 3113*w**3)*(0 - 2 + 3)*(1 + 3 - 3).\nAnswer: -5*w**3 + w**2 + 196","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (92\/20 - 3)\/(20\/10780550*17)?\nAnswer: 2, 11, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 176*f - 768. Let g be w(5). Suppose -5*x = 5, -4*x = -5*h - x + 28. Which is the second biggest value? (a) h (b) -4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 5:59 PM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 1:03 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16836591*m**2 - 8790421.\nAnswer: -33673182*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/144 and 129\/14560?\nAnswer: 131040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 5*d + 3. Let h(f) = -f**2 + 5*f + 4. Let w be h(5). Let m be w*(2 - 2 - -1). Determine v(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d + 14. Let q be i(12). Suppose c - q = -1. Solve -a + c = -2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 9*d + 6 = 0. Suppose v + 8 = 3*p, 18 + d = 5*v. What is the greatest common divisor of 20 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 143, 163, 211, 299, 439, 643?\nAnswer: 923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-112))\/((-165)\/275)\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 4*b + 7. Suppose 5*w - 7 + 32 = 0. Let r = 288 - 208. Calculate the lowest common multiple of h(w) and r.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -492 * -3.\nAnswer: 1476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mvmm when four letters picked without replacement from mmmmvv?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 9*n - 7. Let v be l(-5). Let s be (-4 + 2)\/((-1)\/v). Suppose 3*j + 2 - s = 0. What is the lowest common multiple of j and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -135, -439, -1261, -2859, -5491, -9415, -14889?\nAnswer: -22171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/376002 and 107\/103356?\nAnswer: 21808116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -36*b**2 + 13*b + 119. Let a(d) = -38*d**2 + 12*d + 102. Calculate 7*a(c) - 6*m(c).\nAnswer: -50*c**2 + 6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0425 - 1.1113.\nAnswer: -1.1538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*o**2 + 46*o**2 + 53*o**2 - 13*o**2.\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*p = 0, 0*a - p + 18 = 5*a. Suppose -a*l = -3*y + 22, 4*l - 7 + 25 = y. Is 3 + (0 + l - -318) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 968050, 968058, 968070, 968086, 968106, 968130, 968158?\n\"Answer: 2*o**2 + 2*o + 968046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/((m**(-2\/5)*m)\/m))**(2\/23))**(-13\/4)\/(m**2*m\/(m*m\/m**5)*(m\/((m\/(m*m\/(((m*m**(-1)*m)\/m)\/m)*m))\/m))**17) assuming m is positive.\nAnswer: m**(-10543\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z**4 + 20*z**3 + 390*z**2 - 20*z - 385 = 0. Calculate z.\nAnswer: -7, -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**2 - 1606 + 17*x + 1710 - 7*x to r + h*x + b*x**2 and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -579 + 582. Let c(i) = 20*i**2 + 10*i - 16. Let h(d) = 4*d**2 + 2*d - 3. Determine y*c(q) - 16*h(q).\nAnswer: -4*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -5*h**2. Let n(w) = 275*w**2 + 1. Give u(n(p)).\nAnswer: -378125*p**4 - 2750*p**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**3 + 95*y**2 - 360*y - 148. Calculate x(-51).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188*s + 213 = 3968 + 2261. Calculate the lowest common multiple of 560 and s.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -531*k + 4*s = -529*k - 66, 4*k = -6*s - 78 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1564*u - 14354*u + 4368*u - 6693*u to d + a*u and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 80353104 smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/41 + 127\/164. What is the biggest value in o, -2\/19, -0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111010 + 100000010001?\nAnswer: 100001001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 40499 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -55 or -42?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 2912\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21075?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.9 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 17*t. Let z(p) = -4*p**2 + 49*p - 87. Let h be z(10). Let u(i) be the first derivative of 0*i - 8 + 0*i**2 + 1\/3*i**h. What is u(w(g))?\nAnswer: 289*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22238.\nAnswer: 2, 11119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -7*r + 2540, x + 1805 = -9*r + 14*r. Calculate the smallest common multiple of r and 264.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r**2 - 10*r**2 + 4*r**2. Let m(v) = -10*v**2. Calculate m(w(k)).\nAnswer: -40*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.6544 + 7.76. Let n = 1.1056 - u. Let w = -1.9 + 2. Which is the third smallest value? (a) w (b) 3\/2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -635, -1271, -1907?\nAnswer: -2543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - 5*n + 69, -o - 17 + 57 = 3*n for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 114, 223, 332?\n\"Answer: 109*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -15632.00175 to the nearest one hundred.\nAnswer: -15600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0, -0.3, 0.3, -0.1, -0.04.\nAnswer: -0.3, -0.1, -0.04, 0, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 6:38 PM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + (16 + 1 - (-2 + -27 - -35)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/22 and 7\/146.\nAnswer: 1606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, s: 1, b: 2, l: 2, k: 1, g: 1}. Give prob of sequence jjs.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42053 - 42112 = -46*p - 84395 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*r**3 + 64*r**3 - 6*r + 6*r + 44*r**3 + 64*r**3.\nAnswer: 84*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5.9943 in -0.5, -2\/9, 3, 0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 58462583 - 13.60152\nAnswer: 58462569.39848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 + -9019399?\nAnswer: -9019391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.014089532 rounded to four dps?\nAnswer: -0.0141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 98919 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2458701?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9961 - 6460*q - 9961 to k + r*q and give r.\nAnswer: -6460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/528 and 67\/2079?\nAnswer: 33264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*t - 16*t + 30 = 0 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 985\/(3*6\/5040). What is z rounded to the nearest ten thousand?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3832\/9 + 425. Are -2 and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2 - 1)*-1 + 6 + 140?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -142161*h**3 - h**2 - 5*h - 34489?\nAnswer: -852966*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -330 divided by 66?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15109.8 - 15110. What is the closest to -31 in 1, -4\/7, 2\/37, r?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2698 - 2696. Which is the second biggest value? (a) d (b) 0.5 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/g**(-4\/7))\/g**(-2\/5))**13)**(-2\/123))**(-12) assuming g is positive.\nAnswer: g**(7176\/1435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005993544 to 7 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-4*(-1)\/8)\/((-5)\/(550\/5))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*1*642\/(-9). Is (-1)\/(v\/212 - -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 3*s - 8. Suppose 5*k = 5*h + 20, -6 = -s*k + h + h. Sort -3, -5, k in descending order.\nAnswer: k, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 4:58 AM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1348.8 to the nearest ten.\nAnswer: -1350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -73 - 227342?\nAnswer: -227425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -1109*y + 1110*y, -2565 = -v - y. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 60 = -2*b. Let p(g) = 4*g - 7. What is the remainder when p(10) is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 208777602, 208777610, 208777632, 208777674, 208777742, 208777842, 208777980, 208778162?\n\"Answer: u**3 + u**2 - 2*u + 208777602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.3 - -1.3. Let r = 4.6 + -5.1. What is the nearest to 1 in -2\/25, r, n?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-1)\/(-4))\/(144\/5184))*3\/3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/21 and -67\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*p + 5*p. Let r be 30\/p + (-2)\/(-4). Suppose r*w + 2*s - 69 = 4*s, 5*s = 0. Calculate the remainder when 44 is divided by w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g + g - 56 = 8*g. Let h(x) = 24*x + 1. What is the remainder when h(2) is divided by g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**3 + 3*d**2 + 9*d - 29. Let f(g) = -3*g**3 + 6*g**2 + 14*g - 42. Let z(q) = 5*f(q) - 7*n(q). Give z(10).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 3*c**3\/4 + 9099*c**2\/4 + 87837*c + 785925 = 0.\nAnswer: -2994, -25, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -22204*-31641\nAnswer: 702556764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - 3. Let c = 4.5 + l. What is the second smallest value in -1, -4, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 172\/20 - 3 - (0 - -5).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (52\/(-3))\/13)*(-12)\/(-8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 9. Suppose -13 = j*r - 53. Is r a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ngng when four letters picked without replacement from {n: 7, g: 9}?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/13, 0.4, 2\/3, 83001?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -6 - ((7 - 18) + (16 - 4))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -23*o**2 - 164*o + 5. Let c be x(-7). Solve 0 = 5*a + p + c, 0 = -a - 63*p + 62*p - 6 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49744 not equal to 49747?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-2808)\/162)\/(-52)*-21\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from egoweqoeoeenq. Give prob of sequence qq.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -379 + 380. What is the second smallest value in z, -7\/11, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1991*g**3 - g - 15353 wrt g?\nAnswer: -11946*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0037 * 10686.\nAnswer: 39.5382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*a = -17*a - w + 3, -5*a - w - 27 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 132650743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*u + 88 - 91 = 57 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(-26))\/((-301)\/860)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-312)\/(-572) - (-1040)\/(-495).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/47, -19, -18, -0.147 in descending order.\nAnswer: -2\/47, -0.147, -18, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-13)*u*u)\/(u\/((u*u*((u**(-9)*u)\/u)\/u)\/u)*u)*(u**(-5))**(8\/7) assuming u is positive.\nAnswer: u**(-194\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126.46 + -15942.\nAnswer: -15815.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 83 = 3*x, 4*x + 7*n - 14 = -2*x + 5*x for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6*(-3 + (-915)\/9). Let r = 388 + -383. Suppose 4*d = 2*q + 2*q - p, -825 = -r*q - 3*d. Is q a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*a - 224995*a**2 - 25*a + 224998*a**2.\nAnswer: 3*a**2 - 35*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 6:30 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/19 - 176278*y\/19.\nAnswer: 2*y*(y - 88139)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**2. Let s(r) = -2221*r**2. Calculate d(s(z)).\nAnswer: -9865682*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1797?\nAnswer: 3, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*y - s, 5*s - 12 = 5*y + 3. Let o = 20 - 20. What is the second smallest value in -2\/7, o, y?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -0*y - y. Solve -y*p = 4 + 11 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9401 = 803*m + 1371 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of c**5\/10 + c**4\/6 + 2*c - 3. Let t(v) be the first derivative of z(v). Find the third derivative of t(m) wrt m.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3088 - 103.6509451?\nAnswer: -103.3421451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*n*u**2 - n + 91*u**4 - 608 wrt u.\nAnswer: -18*n*u + 364*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1072\/(-88) + 8 + 4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2256135 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and -8848.748.\nAnswer: -8848.748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 189, 368, 543, 714, 881, 1044, 1203?\n\"Answer: -2*p**2 + 185*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*v**3 - 5*v**3 + 11 + 2871969*v**2 - 2871908*v**2 in the form l*v + b + w*v**3 + o*v**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/277 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 - 39. Suppose w + k = -0*w. Is w\/6*183*-1 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - h - 16 = 0, 5*h - 15 = w - 0*w. Suppose -2*s - 1050 = -w*s - z, 12 = -4*z. What are the prime factors of s?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159674223 to the power of 1\/2, to the nearest integer?\nAnswer: 12636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 3*m**2 - 5*m - 1. Let j be g(-4). Suppose -u + j = 0, -y + 5*u - 1 = u. What is the least common multiple of y and 0 + 2 + -2 - -3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -5, 19, 3, -1 in ascending order.\nAnswer: -12, -5, -1, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23838 is divided by 107?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + ((2 + sqrt(162) + 1 + -4)*-4)**2).\nAnswer: -864*sqrt(2) + 7824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2173*x - 2180*x - 84 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixxxixiiiiixxxinixi. What is prob of picking 1 x and 1 n?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -31?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144336 is divided by 162?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 2*o + o. Let q = 2 + o. Let p = -11 + q. Calculate the remainder when 13 is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-1*sqrt(832)*-2 - (0 + sqrt(832) + -5))**2 + -1*(sqrt(832) - (sqrt(832) + -2 + sqrt(832)))*1).\nAnswer: 88*sqrt(13) + 855","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/37? (a) 151 (b) 3 (c) -5 (d) 5 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 5*a - 6935, 53*a - 4*q - 4161 = 50*a. What is the highest common divisor of a and 949?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x - x + 0*x)*(2 + 8 - 2) + 5*x - 25*x + 36*x to the form g + v*x and give v.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 157713, 630848, 1419411, 2523408, 3942845, 5677728, 7728063?\nAnswer: 10093856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -176 and 0.3.\nAnswer: -52.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, f: 2}. What is prob of picking 2 f?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3686 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**4 + 2*m**4 + 0*m**4 + (-3*m**3 - 2*m**3 + 4*m**3)*(2*m - m + 0*m) - 32*m**3 + 32*m**3 - 20*m**4 + (2*m - m - 2*m)*(-m**3 + 4*m**3 - m**3).\nAnswer: -24*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 387972303 + -2150918441885\/5544. Let x = d - 1\/792. Let l = -297 - -3623\/12. Find the common denominator of x and l.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0246964192 rounded to 3 dps?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - -3*sqrt(77)*-3)\/(sqrt(21)\/sqrt(3)*6).\nAnswer: -4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -233000223 + 11122?\nAnswer: -232323101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 8 (b) -0.53 (c) 19\/6 (d) -13 (e) -5 (f) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.7*-445.8\nAnswer: -312.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -800e4a (base 15) in base 2?\nAnswer: -10111001011111100001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 35*b**3*v**3 - 2*b**3 - 2335*b*v**3 + 22752 wrt v.\nAnswer: 105*b**3*v**2 - 7005*b*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -64 + -7223?\nAnswer: -7287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 9*c**2 - 12*c + 14. Let z be l(-7). Solve 3*x + 3 = -z for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence isxi when four letters picked without replacement from shsshxhjisisii?\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88011793.\nAnswer: 73, 181, 6661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 314*v - 314*v + 6*v**3.\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8765864 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1229*r - 1869*r + 1402*r)*(4*r**2 + r**2 - 2*r**2).\nAnswer: 2286*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 65*x - 50*x.\nAnswer: 15*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10870946?\nAnswer: 2, 127, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 127.18929 months in years?\nAnswer: 10.5991075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (3 - -1 - (-9 + 10))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5*12\/50)\/((-4)\/10). Suppose -k*o + 707 = -136. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -0.5, 0.2, -7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-5*-2*sqrt(2500)*1)\/((sqrt(125) - (sqrt(125) + -1*sqrt(125)*3)) + 1*(sqrt(125) - (sqrt(125)*-1 - sqrt(125)))).\nAnswer: 20*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 703, 702, 701?\nAnswer: 700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2742342.44 to the nearest one hundred thousand.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6619919?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -4\/15, -1, 4, 6\/19?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/36)\/((-1)\/(-12)). Suppose 2*l - 2*c + 1309 - 3129 = 0, 5*l = w*c + 4547. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -7. Let d be (-1 + -2)\/(-1)*1. Let k = d + s. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/826352 and 89\/4.\nAnswer: 826352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -45, -2\/5, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 32 or 23?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -8132 and -8074 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*o**2 - 3)*(835*o**2 + 435*o**2 - 65*o**2).\nAnswer: -2410*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3891.99999772 - 3892. What is w rounded to 7 dps?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 - u**2 + 4*u**2)*(10*u - 13*u - 8*u).\nAnswer: -22*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9743?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 3*q**2 + 3*q + 5. Let n be w(4). Let p be (1 + -3)*(-1 + 0). Suppose 0*f + y - 5 = f, -5*y + 25 = 2*f. Sort n, p, f in decreasing order.\nAnswer: p, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 644, 1144, 1644, 2144, 2644?\n\"Answer: 500*n + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 29*g**2 + 35*g - 104. Let a = -84 - -114. Calculate the remainder when 1239 is divided by q(a).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/70)\/((-8)\/(-28)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -3*p - 3, -4*w + 409 - 200 = -7*p + 192 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 11011011110010111100 (base 2) to base 9\nAnswer: 1621855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3101 a multiple of 204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.04 - 40.96. Let q = s + 44.6. What is q rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(1\/2*2*1). Let s be (3 - 8)\/((-16)\/4 + 3). Solve s*i + 0*r + 10 = o*r, r + 15 = -2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + 3. Let a = -7 + m. Sort -4, -5, a in increasing order.\nAnswer: -5, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 g when three letters picked without replacement from lwgkwggcgg?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 88846415?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12 - 4?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and -12.6938096.\nAnswer: -13.1938096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 1:16 PM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -18411546 + -0.236\nAnswer: -18411546.236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 462149436 divided by 154049812\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1078)*-1)\/(4*sqrt(4)\/sqrt(2)).\nAnswer: -7*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-3)\/(l*l\/(l*l*l**(8\/13))) assuming l is positive.\nAnswer: l**(-31\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.5 - -3. Let d = -2.26 + -167.74. Let n = d - -166. Which is the smallest value? (a) n (b) -0.4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3816648 + -370115239\/97. Let l = s + -1027. What is the third smallest value in -2, 2\/13, l?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5583573?\nAnswer: 3, 29, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 less than -795800750.46?\nAnswer: -795800759.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(108))*3)**2 - -6*(sqrt(108) + 1 - sqrt(108)) - ((-4*sqrt(108)*-2)**2 - (sqrt(108) + 0)*1))*-5 + -2.\nAnswer: 510*sqrt(3) + 29623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*l**3 - l**3 + 4*l**3.\nAnswer: 14*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f + 7*f**2 - 6*f)*(-f - 3*f + 6*f) + 0 - 15*f**3 - 2 + 0.\nAnswer: -f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -3*a**5\/10 + 3*a**4\/2 - 5*a**3\/2 + 3*a**2\/2 - 9. Factor y(t).\nAnswer: -3*t*(t - 2)*(t - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -g**6\/5 - g**3 + g - 1. Let h(v) be the first derivative of o(v). What is the second derivative of h(u) wrt u?\nAnswer: -72*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8534864?\nAnswer: 2, 13, 37, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 4*y - 35. Put 0, y, -0.3, 5 in ascending order.\nAnswer: y, -0.3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 336.3921km?\nAnswer: 336392.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*4*-4*(sqrt(468) + -1)**2.\nAnswer: -15008 + 384*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - i - 21. Let w = i + 8. Suppose -5*z - 3*s + 27 = -0*s, 4*s = -4*z + 28. Is w at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m + 1. Let a(r) = 16*r - 32. Let d(w) = a(w) + 32*c(w). Let u(g) = -g - 2. Let t(l) = -3*l - 5. Let z(s) = -2*t(s) + 5*u(s). What is z(d(j))?\nAnswer: -16*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a741 + 30?\nAnswer: -1a711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3143441 - -1242?\nAnswer: -3142155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.1 - -1.2. Let f = -3 - -7. Sort 1, f, i in decreasing order.\nAnswer: f, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 96 - 95. Let v(a) = -1 + 2 - 2. Let h(c) = c - 8. Give j*h(g) - 6*v(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1757*g = 74205 + 6617 for g.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 + -25. Suppose -3*q - 3*f = -0*q + 39, -q - 3*f = 11. Let v = q - a. Solve 2*k + 1 = -j, 5*k - 3*j + 3 - v = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384) + -5*sqrt(384) + sqrt(384) + (sqrt(96)*5)\/sqrt(4))\/((sqrt(6000)*-2)\/(sqrt(20)\/sqrt(4)*-2)).\nAnswer: -7*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-6*(-3)\/60)\/((-2)\/4)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j + 2. Let u be x(20). Let h be ((-1581)\/(-15))\/((-37)\/(-370)). Calculate the highest common divisor of u and h.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 * 3288\nAnswer: 39456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - 19. Let z(v) = -j*v + 4*v + 5 + v. Let y(t) = -t + 6. What is 5*y(i) - 6*z(i)?\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171))**2 + -5)*4.\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 2 = -3*c. What is the remainder when c is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 8450*x - 11*x**2 + 8450*x in the form o + p*x + n*x**2 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4440 + 4439.6. What is the third biggest value in p, -23, 0.4?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 3:29 AM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59983288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180 = -3*m + 33*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 4606*x + 10 + 4546*x + 0.\nAnswer: -60*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7387, 7382, 7365, 7330, 7271, 7182?\nAnswer: 7057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -635891?\nAnswer: 3179455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*s**5 + 107*s**4 + s**3 - 3904*s**2 + 1 wrt s.\nAnswer: 1680*s**2 + 2568*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 3:40 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5272 divided by 4?\nAnswer: 1318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(4\/7)*t)\/((t\/(t*t**3))\/t))**(-16))**(-10\/11) assuming t is positive.\nAnswer: t**(6240\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/5*20\/6. Let i be (-12)\/(-8)*t\/3. Let z(s) = 2*s**3 - 4*s**2 + 3*s - 2. What is z(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -w**5\/60 - 5*w**4\/24 + w**3\/3 + 14*w**2. Determine g(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17\/51*(3*-6)\/(-1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/3 + 2231318*t - 13387932.\nAnswer: 2*(t - 6)*(t + 3346983)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 7890 divide 2484379530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 339184 = 95*l - 53736. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of d**5\/6 + 25*d**4\/24 - 5*d**3\/6 - 85*d**2\/12 - 25*d\/3 + 88. Factor i(j).\nAnswer: 5*(j - 2)*(j + 1)**2*(j + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 673824961 and 0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5060937 is divided by 111?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*m**2 + 414*m - 835*m + 421*m.\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4263 (base 10) in base 6?\nAnswer: -31423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -i**5\/60 + i**4\/8 + 5*i**3\/6 + 10*i**2. Let u be o(4). Solve -s - u = -0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 621.992 + -625. Let r = 0.008 + o. Sort -4, r, 84 in descending order.\nAnswer: 84, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44*b**2*o**4 - 12*b**2*o**2 + 9*b**2 - b*o**3 - o**5 wrt o.\nAnswer: -1056*b**2*o - 6*b - 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 36 = 20*f - 16*f, -5*f + 29 = z. Suppose -f*w - 47 + 27 = -5*x, -3*w = 2*x + 7. Sort x, 1\/12, -0.3, 4 in decreasing order.\nAnswer: 4, x, 1\/12, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (-20 - (18 + -12 - 18))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 69404 = 3*u, 4*u - 4*r + 464 - 93016 = 0. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 13*v - 4*v + 54*v. Let c(g) = -12*g**2 + 615*g**2 - 585*g**2 - 15*g**2. Determine u(c(n)).\nAnswer: 189*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (8 + (-288)\/40)\/(14\/(-5))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 220120222012 (base 3) to base 10\nAnswer: 484034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 771533001 to the power of 1\/2, to the nearest integer?\nAnswer: 27776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 27*v + 9134. Let d(w) = 4*w. Give d(z(c)).\nAnswer: 108*c + 36536","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 952 - 552. Suppose 39*b - d = -11*b. Calculate the lowest common multiple of 48 and b.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - 0 - ((-160 - 53) + 161).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 2*s + 5*y + 10 = 0, -3*y - 6 = 4*s. Suppose 17*n - 251 + 13 = s. Solve -p - 7 = -3*r, -4*p - n = -2*r - p for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59713567.\nAnswer: 59713567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4383491 months in years?\nAnswer: 0.119862425","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, k: 4, q: 1}. Give prob of picking 1 k and 1 v.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 12, m: 1}. Give prob of sequence yyym.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -91*g**2 + 22*g**2 - 122*g**2 + 9*g**2 - 1 + 2*g**2 + 1 + (-g + 5*g - g)*(-2 - 2*g + 2) + 3*g**2 + 4*g**2 + g**2.\nAnswer: -178*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50 - -50. Which is the smallest value? (a) -1 (b) f (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 418 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**46)**(-8)*(m\/(m*m**(-28)*m))\/(m*m**(4\/7)*m) assuming m is positive.\nAnswer: m**(-2405\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**3 + 0*k**3 - 4*k**3)*(-3 + 5 - 4) + 8 - 6 - 4 - 36*k**3.\nAnswer: -32*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) 2 (c) 0 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1776049062.99999895 - -1776049019. Let z = s - -44. What is z rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h + 3*h - 2*h**2)*(-2 + 100*h + 170*h - 71*h) to the form s*h + l + f*h**3 + m*h**2 and give f.\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 939, 879, 775, 621, 411, 139?\n\"Answer: -m**3 - 16*m**2 - 5*m + 961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(25\/2)\/c)**(16\/7) assuming c is positive.\nAnswer: c**(184\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-28)*(g\/(((g\/(g\/(((g**(18\/7)\/g*g*g)\/g*g)\/g))*g)\/g)\/g))\/g*(g**(-19))**6 assuming g is positive.\nAnswer: g**(-1005\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 0.097933\nAnswer: 0.489665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -48658264.849\nAnswer: -48658265.349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cqp when three letters picked without replacement from pnqcj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -1\/5, 0.2, 1.81, -1 in ascending order.\nAnswer: -8, -1, -1\/5, 0.2, 1.81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.4, -5, -1, 235?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -89a23?\nAnswer: -89a22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/3*(-72)\/(-48). Solve 0 - 2\/7*y + 4\/7*y**z + 2\/7*y**5 + 0*y**3 - 4\/7*y**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2. Let q(i) = -6864*i. Calculate q(g(c)).\nAnswer: 6864*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 6*s - 3. Let g be d(-7). Suppose -2*o + g + 2 = 0. Solve -1 = 2*b + 2*r - 3, 0 = -o*b + 2*r + 18 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 125540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f + 2. Calculate the remainder when a(4) is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3231322 - -1?\nAnswer: -3231321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 7*h**2 - 7*h + 9. Let c be l(6). Suppose -32 = -3*z - 4*d, 2*d - 11 + 67 = c*z. What is the highest common factor of 4 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (0\/(-3) - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1942 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1357045850 to the power of 1\/3, to the nearest integer?\nAnswer: 1107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y\/y**(-1\/2))\/y)**32\/((y*y*y\/(y\/(y\/(y\/y**4)))*y*y)\/(y\/((y\/(y\/(y*y**(-4))))\/y*y))) assuming y is positive.\nAnswer: y**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21221 - 12010?\nAnswer: -111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1631487525 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-136)\/153)\/(572\/39)\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.004 + 2.004. Let o = 54 + -59. What is the fourth smallest value in o, -0.1, i, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129121.\nAnswer: 129121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.125347 - 0.074653. Suppose 0 = -q - 3*q - 20. Which is the nearest to q? (a) -1\/2 (b) t (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (-16 + 13 - -3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55 and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of 2*o**7\/735 + o**6\/210 - 2*o**5\/35 - 2*o**4\/21 + 16*o**3\/21 + 39*o**2. Determine j so that d(j) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 1084?\nAnswer: 8672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2165 - -2177. Solve i*h = -3 - 45 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 19*g - 2. What is the remainder when y(1) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45722 or -45725?\nAnswer: -45725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 4:06 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -7. Let c = a - -8. Let j be c*11\/(22\/15100). What is j rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6252758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/3*38\/(-95)*-30.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of r**3 + 13. Let p(c) = -c. Calculate p(w(m)).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 6, 3*n - 2*f + 2 = -n. Let j be (4\/12)\/((-172)\/6). Let b = -181\/774 - j. What is the nearest to 1 in b, -4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3496 and 110960.\nAnswer: 2552080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27120*u**3 + 8*u - 22 wrt u?\nAnswer: -162720*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -139179158 divided by -6?\nAnswer: 69589579\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 606136671745310671\/97530 - 6214874107811. Let z = a + 14\/9753. Let c = 118 - z. Find the common denominator of c and 50\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (565*a + 497*a - 847*a)*(0*a - 2*a - a) in the form x + k*a**2 + q*a and give k.\nAnswer: -645","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(21 - 19 + 24)*(-102*c - 49*c + 36*c).\nAnswer: 2990*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 27 = 5*l + 41 - 17, -2*l = 2*z for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 12*d + 12. Let s be q(10). Let r be s\/(-12) - (-4)\/12. Solve 5*i = 4*n - 7, 0*i + i = n - r for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/306 + (-8888)\/2244?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 14) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 8 = 4. Suppose -m*u = -1 + 9. Let y be (-20)\/(-6) + (28\/(-12) - u). Solve y*c = 2*c - 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r**3 + 33 - 3*r**3 - 33.\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + b = -3*w + 75, 197 = 3*b + 2*w. Let c = 75251 + -75223. What is the lowest common multiple of b and c?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47180 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*v, -19*p + v = -17*p - 26. What is the highest common factor of 705 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bffb when four letters picked without replacement from ffbbfbbfee.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 12:09 AM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-3))\/(((-25)\/870)\/5). Let d = -56 + l. Calculate the remainder when 48 is divided by (((-2)\/4)\/((-3)\/300))\/d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of q**6\/240 + q**5\/24 - 5*q**4\/24 - q**3\/2 - 58*q**2. Let h(w) be the second derivative of f(w). Calculate h(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2972*s**3 + 159*s**2 - 5944*s**3 + 2966*s**3)*(2*s - s - 2*s) to the form u*s + c*s**2 + v*s**4 + d + h*s**3 and give h.\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -3) + -1 + -63 + 61?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 14 - 35. Is 15 a factor of (20\/l)\/((-58)\/7511)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18*t**4*u - 1158*t**2*u**2 + t*u - 53402*u**2 - 3*u wrt t?\nAnswer: -72*t**3*u - 2316*t*u**2 + u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1171 divided by 1171\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1)\/q)\/q)**33*(q**(1\/4)\/q)**(4\/7) assuming q is positive.\nAnswer: q**(-696\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16587027 to the nearest integer?\nAnswer: 4073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2. Let y(i) = -24*i**2 + 5*i - 5. Let g(h) = -120*h**2 + 24*h - 24. Suppose -6*m - 97 - 47 = 0. Let o(l) = m*y(l) + 5*g(l). Give o(s(x)).\nAnswer: -24*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (57\/(-6))\/(3\/(-12)). Suppose t = 2*d - 108. Suppose 75 + d = 4*n. Is 5 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, -217, -5, -2 in decreasing order.\nAnswer: 0, -2, -5, -6, -217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 834424166?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 6*g + 10. Suppose 0 = 96*h - 42*h + 270. Let p(k) = 11*k + 19. Determine h*w(c) + 3*p(c).\nAnswer: 3*c + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 431 a factor of 16688688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8276, 8237, 8194, 8153, 8120, 8101, 8102, 8129?\nAnswer: 8188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2577 is divided by 1285?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 55 - 39. Suppose 2345 = 48*l - 6103. Calculate the highest common divisor of z and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 + z + 2. Let r(b) = -3*b + 3. Let s be r(2). What is the tens digit of v(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4, 0.1, -1693\/5, -2 in descending order.\nAnswer: 4, 0.1, -2, -6, -1693\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*n - 33*n - 21. Is n bigger than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d**2 - 2*d + d**2 + 13 - 11 - d. Let j(i) = -i**3 - 3*i**2 - 4. Let r be j(-3). Let n be 4\/(24\/(-15)) - (-2)\/r. What is o(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - v**2 - 2*v + 10. Suppose -10*f = -9*f. Let a be l(f). Calculate the highest common divisor of a and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2 = 8. Solve 4*n - 11 = -j*c, 6*c - 2*c + 2 = -2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 11*o + 2. Let y(g) = -35*g + 2075. What is -3*h(j) - y(j)?\nAnswer: 2*j - 2081","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1022411, -2044890, -3067447, -4090088, -5112819, -6135646?\nAnswer: -7158575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5}. Give prob of sequence kkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 - -55. Suppose 53 = 2*y - 1. Suppose 60 = 3*t - y. What is the remainder when t is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -122\/9*w**4 + 10\/3*w**5 + 188\/9*w**3 - 44\/3*w**2 - 2\/9 + 38\/9*w.\nAnswer: 2*(w - 1)**4*(15*w - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3.023778ml?\nAnswer: 0.003023778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/(-40) - ((-26)\/8 - -4)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -6*p + 4. Let s(g) = -7*g + 5. Calculate -4*k(q) + 3*s(q).\nAnswer: 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 200*q**2. Let r(v) = 3*v. Give f(r(m)).\nAnswer: 1800*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2474\/6 - (-568)\/213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 11*g**2 + 10*g + 13. Let a be o(10). Suppose 5*n + 4*l - 30 = 0, 2*l - l = -4*n + a. Let k = 19 - n. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3465457 and 296.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 r when four letters picked without replacement from ffffffrrrr.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - 290*l + 294*l + 2, 59 = -59*z - l for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1793.\nAnswer: 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 404 and 1818?\nAnswer: 3636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -4\/3*t**3 + 1\/5*t**5 + 0*t - 26*t**2 + 0 + 0*t**4. Find the first derivative of d(q) wrt q.\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -5*z. Suppose -64*m - 81*m + 70 - 360 = 0. Let o(h) = -6*h - 1. Give m*o(c) + 3*n(c).\nAnswer: -3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1223, 2457, 3691, 4925, 6159, 7393?\nAnswer: 8627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 33 + 2 - (-101 - (-107 + -72))\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 2*p + 0*p)*(-50895*p - 50897*p - 50899*p + 152688*p + 621 + 6*p**2).\nAnswer: -6*p**3 + 3*p**2 - 621*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*c - 28*c - 32*c + 115*c.\nAnswer: 23*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -15, -2 in ascending order.\nAnswer: -15, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 7*v - 3. Let g = 4024 - 4022. Let k(n) = n**2 + 1. Calculate g*k(f) + u(f).\nAnswer: 2*f**2 + 7*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -649 + 153 + 408*n + 157 + 155 + 185.\nAnswer: 408*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31.98 - 1.116. Let h = q + 33. Round h to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -948a (base 11) in base 4?\nAnswer: -3010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 4*u - 12738 + 4774, 3*k = 6. Calculate the remainder when u is divided by 125.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of v**4\/4 - 5*v**3\/3 + 4*v**2 + v + 2. Is w(6) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r = -24*r + 3750. Is r - 4\/(12\/(-9)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1190704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -38*r**4 - 3*r**2 - 139289*r + 109336803 wrt r?\nAnswer: -152*r**3 - 6*r - 139289","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 100*t**3\/3 + 149. Let z(l) = -3*l. What is p(z(d))?\nAnswer: 900*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -126 - 162. Let x be (-2)\/6 - 3\/(o\/140). Which is bigger: x or -0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 8. Suppose x = 4*o - 4. Solve u = -o - 3 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000049 to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (6 - 4) - (13 - 7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1984 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + t + 0*t - 2 + 10 + 7*t**2. Let k be j(-7). Suppose -g + 28 = -6*o + o, 3*g - 24 = 3*o. Solve 0 = n - 4*i + 2, -g*i + k = -0*n - n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3669.585 litres in millilitres?\nAnswer: 3669585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-18)\/72)\/(2\/(-112)). Let 47*z**2 + z**3 + 27*z - 2*z**3 - 35*z**2 + d = 0. Calculate z.\nAnswer: -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2\/125 of a micrometer?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (622 + -628)*2\/(-20)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.1 - -7. Let v = 0 + 3. What is the second biggest value in v, z, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -136 (base 7) to base 8\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196504.\nAnswer: 2, 7, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(2\/7)\/l*l))\/l**(-5))\/(l**(2\/3))**(-9\/2) assuming l is positive.\nAnswer: l**(61\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 4:41 PM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (15\/(-12))\/((-1)\/72). Suppose 19*n - 16*n - 90 = 0. What is the highest common factor of n and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -231, -285, -325, -345, -339?\nAnswer: -301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s. Let h(q) be the first derivative of -q**2 - 3. Determine 3*h(u) - 8*k(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i - 2*i + 5*i)*(36*i - 21*i + 8*i) + (2*i - 1 + 1)*(-1 + 1 + 2*i).\nAnswer: -19*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1663, 3323, 4979, 6631, 8279?\n\"Answer: -2*a**2 + 1666*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 385 + -571.4. Let s = y - -172. Let n = -13 - s. What is n rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4123046 + -5?\nAnswer: 4123041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*(0 + 2\/(-4)). Suppose 1632 = 16*i - 9056. Let r = -662 + i. Put a, -5, 2, r in decreasing order.\nAnswer: r, 2, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 4.6. Let t = 0.1 - -3.9. What is the nearest to 1 in t, n, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 8:25 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 1457*s - 1466*s + 143. What is the remainder when s is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0517706 rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 12, 3.\nAnswer: -5, -2, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 39. Let n be (1\/2)\/((-2)\/12). What is the units digit of (r\/(-12))\/(n\/(-8))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/6 - (-3)\/2. Suppose 12 = p*s - 2*z, -4*z + 9*z = s - 22. Solve -1 + 9 = s*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 6*u - 10. Let q be s(-7). Let h = -6 - -4. Do h and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-64 - -3 - -2)\/1. Let g = -48 - o. Is g a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 - 9. Let a be (1\/(-3))\/(6\/(-90)). What is the units digit of a*(6\/p - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 105254188 to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5014775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + 0*z**2 + 0*z**2)*(2*z - 3 + 3)*(-5*z + 5*z + 2*z).\nAnswer: -8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 2*p + 2. Let j(k) = k**3 - 2*k**2 - k - 21. Let q be j(4). Suppose 4*d = -4, -5*s + 11 = 6*d - q*d. What is u(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 + 141615*w**2 - 141618*w.\nAnswer: 3*w*(w - 1)*(w + 47206)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 289*v**2 - 11*v - 8. Is s(-2) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*p - 30*p - 25 = 0, 0 = 4*i - 15*p - 211. Solve i*r - 32*r = -4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 297, 633, 969?\nAnswer: 1305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -8*l - 88. Let m be p(-12). Is ((m - -339) + -3)\/2 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1446 - 3?\nAnswer: 1443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0083 + 4.0083. Which is the third biggest value? (a) -1\/4 (b) -1\/10 (c) 0.1 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-29)\/(290\/40)*-66*(-2)\/(-16)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f + 2*f + f to the form l*f + k and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-112 - -74) + 77 + -143?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -101101\/297650 + -2\/5953. Calculate the common denominator of -117\/40 and u.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(2\/13)*q)\/q**(1\/9) assuming q is positive.\nAnswer: q**(239\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**2. Let k(z) = -z**2 + 5*z + 4. Let p be k(6). Let a = p - -4. Let r(d) = -a*d + 2*d + 2*d. Give t(r(h)).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 98*i + 85*i**3 + 160*i**3 - 35*i + 24*i**3 + 24*i**3 wrt i?\nAnswer: 1758*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -104 - -104. Suppose 4*b - 4*k - 4 = v, -b + 3*k - 21 = -4*b. Let z(a) = a**3 - 5*a**2 + 3*a + 1. Give z(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -1. Let r = 0.5 - m. Let u = -26.4 + 28.4. Which is the third biggest value? (a) u (b) -1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 64\/7 or -1.6?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 217*m + 217*m - 31*m - 8060 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(-45*a**2 - 92*a**2 + 55*a**2)*(-11 - 10*a**3 + 11).\nAnswer: -1640*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*k = 30. What is the tens digit of ((-1)\/(-2))\/(k\/288)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, g: 1, y: 2, x: 2, a: 2}. What is prob of picking 1 x and 1 a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -64*k - 762. Let s be i(-13). Solve -67*w + s*w + 9 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*r - 5 - 9 - 40 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 times 76?\nAnswer: -1444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -1286*i**2\/3 - 5140*i\/3 + 16\/3 = 0?\nAnswer: -4, 2\/643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -128.9 + 114. Let v = k - -15. Is -13 <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -413 (base 7) to base 8.\nAnswer: -316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2899\/140 - -19\/35. Calculate the common denominator of k and (-2)\/7 + 27\/(-6).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(2\/(-3)*-3)*-1. Let h be (u + 2)\/((-7)\/(-63)). Solve -n = 5*p, 3*n = -n - 2*p - h for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 350 - 363 - (22 - 5).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 396 + -516.5. Let x = -121 - g. Suppose 5*q + 5 = 4*h, 4*h + 2*q - q = -1. Which is the closest to h? (a) 0.2 (b) x (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 j when three letters picked without replacement from oejjv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, 7, -3, 25, 9\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*a - 13*a - 21*a.\nAnswer: -44*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -8\/5 (c) 1 (d) 1\/4 (e) -0.2 (f) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120111220212 (base 3) to base 5.\nAnswer: -34233033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13772 - -15212. What is the smallest common multiple of i and 2400?\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2587564214.\nAnswer: 2, 179, 521, 13873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -318 + 478. Let z be -4 + -15 + (-51)\/(-1). What is the highest common factor of q and z?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 908, 882, 842, 782, 696, 578, 422?\n\"Answer: -i**3 - i**2 - 16*i + 926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 3594 = 3*c, 2529 = 4*c + n - 2272. Does 32 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 12*b**2. Let w(o) be the second derivative of -o**3\/3 + o. Calculate w(r(v)).\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*c, 5*c + 30 = 2*o - 36. Suppose -172 + o = -v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 923 divided by 1550?\nAnswer: 923\/1550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11093.92ns to milliseconds.\nAnswer: 0.01109392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8310*x + 8313*x + 5*b + 8, 4*b + 16 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Suppose -x = 2*q - 664, 5*x - 2*q = x + 2626. Let r = -218 + x. Is r a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -v**6\/60 - 19*v**5\/30 - 1127*v**4\/24 - 80*v**2. What is the second derivative of s(q) wrt q?\nAnswer: -12*q - 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(-2)\/2*0. Suppose -2*s = -3*n, j = 2*s + 2*s + 2*n. Let f be s + -7 + 3 - -9. Solve r + f = -0*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111110010101111 + -11011000?\nAnswer: 111101111010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -21, 1.663, 3\/4?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 + 37. Suppose -r*q + 4*q - n = 376, 380 = 2*q - 3*n. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x - 2 - 3*x + 191*x**3 + 3. Let j be w(1). Let i = 324 - j. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 - 7)*(-4*q + 4*q - 2*q) to the form n*q + r and give n.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -99, 20, 219, 498, 857, 1296, 1815?\n\"Answer: 40*i**2 - i - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/3 (b) -2\/3 (c) 2\/17 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2747\/(-67)*(-8)\/(-4)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 11*i**2 + 4. Let c be (4 + 18\/12)\/(3\/6). Let t be f(c). Solve z = t*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -6*o - 19. Let y be z(-4). Determine v, given that -34*v + 95*v**2 + 48*v**y - 140*v**4 + 10*v - 48*v**3 + 21*v**2 = 0.\nAnswer: -1, 0, 1\/4, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 78383 - -61?\nAnswer: 78454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*k - 1. Suppose 0 = 5*u - 4*m + 6, -2*m + 5 = -u - 1. Solve -u = -b - k for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 3*s**2 + 7*s. What are the prime factors of y(-5)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59836?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.172 + 0.228. Let n = y + -3.4. Sort 1, n, -5 in ascending order.\nAnswer: -5, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 514454671?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0.01 (b) -0.924 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -1, 215 in ascending order.\nAnswer: -1, 0.4, 215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**2 + l - 1\/2*l**4 - l**3 - 3\/2 = 0. Calculate l.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -110 - -110. Let z(u) = -u**2 - 3. Determine z(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 - 2*d**2 + 4*d**2)*((2 - 3 + 5)*(19 - 19 + 13*d) - 2*d - d + 2*d + 2).\nAnswer: 204*d**3 + 8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/5040 and -29\/168?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23\/5, -0.14, -0.7, -6 in descending order.\nAnswer: -0.14, -0.7, -23\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-16)*16\/(-12)*2\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*o - 1139*o - 457*o.\nAnswer: -1582*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 11 = -15. Let g = -21 + z. What is g rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 6 = 0, l - k + k + k - 2 = -3*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 140752?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11223585?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -28, -30, -48, -88, -156, -258, -400, -588?\n\"Answer: -q**3 - 2*q**2 + 11*q - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.789 + -5.789. Let o be 9\/5 + 1*-2. What is the third smallest value in 2\/3, o, y, -8\/9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tm when two letters picked without replacement from tjxkmkx.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 9 = -4*t + 199, 4*t = z + 206. Suppose -197 - t = -4*o. Suppose 0 = -0*y - 2*y + o. Calculate the remainder when 90 is divided by y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7305773*d**3 - 2*d**2 - 4283536*d.\nAnswer: 43834638*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 178, 241, 316, 409, 526, 673, 856?\n\"Answer: b**3 + 56*b + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3455567 is divided by 107986.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*l*x**2 + 4*l*x + 38*l - 11162*x**2 - 15860 wrt x.\nAnswer: 12*l*x + 4*l - 22324*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 214172\/165 - 1298. Which is bigger: -4 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 2*b = 976, -6*b + 3*b + 239 = p. Let i = p - 88. Suppose -3*v - 40 = -i. What is the highest common factor of 26 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5118 and -397602.\nAnswer: -392484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 8 = 0, -5*d + k + 107 = -96. Calculate the remainder when 160 is divided by d.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -79, 80, 217, 314, 353, 316, 185?\n\"Answer: -3*d**3 + 7*d**2 + 159*d - 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -237983472 divided by 59495868.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -220\/3 + 76. Let l = 14\/23 - 144\/161. Which is the second biggest value? (a) l (b) t (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/57600 and 145\/63504.\nAnswer: 25401600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 3, 2*l - w + 8 = 19. Let h(v) = v**3 - 34*v**2 - 336*v + 25. What is the remainder when h(42) is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 1b47?\nAnswer: 1b45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*x - 27 + 17 + 4)*(7*x + 3*x + 8*x) to the form f*x + l + z*x**2 and give f.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000012533 to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z + 4*z + 28*z**3 + 282471 - 565075 + 282604.\nAnswer: 28*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14920 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1208200 rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 14075590.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**2 - 1 + 1 - 9*z**2 in the form t*z**2 + q + d*z and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 62*w**2\/7 + 5160062*w\/7 - 998724\/7 = 0.\nAnswer: -83227, 6\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 + 0.8. Let n = -4.3734 + 1.3734. Which is the nearest to 22? (a) -0.5 (b) u (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**2 - 656*p\/7 - 768\/7 = 0.\nAnswer: -8\/7, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (30\/21)\/(-2 + 13\/7). Let s be 6*(g\/4 + 3). Let f(n) = n + 1. Determine f(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*t**2\/5 + 47*t + 5215 = 0. What is t?\nAnswer: -745\/28, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.8 - -3. Let x = -0.2 + k. What is the biggest value in 0.4, -1\/5, x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - 4) + -2 - 1. Is s*(-4)\/(-4) + (130 - 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -66 - -69. Solve -8 = b*x - 5*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 7:26 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/31, 3\/680, 19.2.\nAnswer: 3\/680, 3\/31, 19.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 14*v**3 + 15*v**2 - 11. Let a(x) = 5*x**3 + 5*x**2 - 4. Determine 11*a(i) - 4*u(i).\nAnswer: -i**3 - 5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 5*c + 1 - 11, 2 = -5*w + c. Let k(s) = s**3 - s**2 - 13. What is k(w)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-82)\/(-902)*-22*((-14)\/4)\/(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 9 = -w + 6*g, -g - 1 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.154 + -0.354. Let k = 30.02 - 30. Is j at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1848 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6705, 6519, 6213, 5787, 5241, 4575, 3789?\n\"Answer: -60*l**2 - 6*l + 6771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 243243 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mold when four letters picked without replacement from dlmzomkz?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1899, -4193, -8015, -13365, -20243?\n\"Answer: -764*i**2 - 2*i - 1133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 126\/27 + (-1)\/(-3). Solve t*z + 10 = 7*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -382 - -383.57. Let l = 2.05 + k. Let i = 4 - l. Round i to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2257243067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -201? (a) -1.1 (b) -12 (c) -3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of 4*o**6\/15 - 3*o**4\/10 + 2*o**3\/15 - 6. Factor l(n).\nAnswer: 2*n**2*(n + 1)*(2*n - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 7*v - 7. What is n(9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 6*u - 39. Let r be b(-10). Let z = 84 + r. Is -15 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - -4 - (-25 - -20)*1. Let h be (-26)\/(-1) - (-2 - -1). Suppose s - h = -0*s. Calculate the greatest common factor of b and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3558701023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 5:42 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210 divided by -42.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 12398, 14891, 17384?\n\"Answer: 2493*f + 9905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -214304232 - 4?\nAnswer: -214304241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 70446736 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/6 - (-5)\/2. Suppose w*n - 12 = -2. Suppose 4*j + n = 3*m, 0*m - 4*j - 9 = m. Sort -3, 0, m in ascending order.\nAnswer: -3, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67146 (base 8) in base 6?\nAnswer: 334502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((24\/920)\/(22\/110*-9))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6140160.\nAnswer: 2, 3, 5, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 7:03 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*p - 36 = -40*p. Let o be 6\/4*16\/(-6). Calculate the remainder when p is divided by (-7)\/o + (-1)\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/21*(2 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22\/(-84) - (-10)\/(-60). Let k(t) = 9*t**3 - 2*t**2 + 1. Let z be k(1). Sort z, 3, w.\nAnswer: w, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + 5*m - 10*m + 17, -4*r + m = 13 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29.37 - 29.27. Let j = -35\/2 + 17. Which is the smallest value? (a) z (b) -0.4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3 - 790\/(0 - 5).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -128617 divided by 5\nAnswer: -128617\/5","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: (28 - -1) + -22 + (-77 - (5 - 4 - -3))\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4\/3 (b) -1\/23 (c) -1\/394\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 5:58 AM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3 + 0 = 0. Let y be 84\/9 - s\/9. Let o(v) = v**2 + 4*v + 6. Let q be o(-7). What is the greatest common factor of y and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + 1 + 0 + 0. Let q(n) = n + 12. Let b be q(-8). Sort f, b, -1 in decreasing order.\nAnswer: b, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 2*l**4 + l**3\/3 + 5*l**2\/2 + 1845. Let s(n) = -7*n**3 - 4*n. Give 4*c(y) + 5*s(y).\nAnswer: -3*y**3 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a litre in millilitres?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -6*r - 1\/2*r**3 - 3*r**2 - 12. Factor i(h).\nAnswer: -3*(h + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -60*b - 19. Let g be p(14). Let x = g + 1360. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 5:52 AM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a + 36*a - 83168 = 0. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -214, 301 in decreasing order.\nAnswer: 301, 3, -5, -214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5*((-3)\/(-15) - 1). Suppose -3*q - 4*u = 23, 3*q - 6*u + 11 = -l*u. What is the tens digit of 2*-10*q\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3600 and 103176.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 5*v. Suppose 2*f - 30 = -5*a, -5*a + 14 = f - 11. Let j(t) = -6*t. What is a*z(q) + 3*j(q)?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhahdhhhadr. Give prob of sequence adh.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -f - f. Let i(v) = 6 + 7*v - 3*v - 3*v - 2*v. Calculate the remainder when 25 is divided by i(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(81)*-2)\/sqrt(3))\/(sqrt(9) - 2*(sqrt(9) + sqrt(9)*1)).\nAnswer: 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**17*k*k*k**(-3\/5)\/k assuming k is positive.\nAnswer: k**(87\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257 is divided by 87.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6223 divided by 6223?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 2354 divide 772634016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-360)\/(-64))\/(54\/(-432)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 17*z**2 + 16. Suppose 5*r = 4*r, 2*r = j - 4. Does 9 divide p(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2000)*-2*4)\/((5*sqrt(48)\/sqrt(2))\/sqrt(6)))**2.\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8030 divided by -1606.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**2 + 23*a - 47. Let x be y(9). Let g(p) = -p**2 + 2*p + 2. Give g(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -691*v**2 + 149*v**2 - 957*v**2.\nAnswer: -1499*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/5 and -22\/645?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 199310293 - -3.\nAnswer: 199310296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1656\/54)\/23*(-54)\/(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 140744342 and 4?\nAnswer: 281488684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23098201.9999988 + 23098195. Let o = 28 - 21. Let l = f + o. Round l to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -23*h + 754. Let y be u(31). Let i(t) = 7*t**3 + 2*t**2 - 2*t + 1. Let s be i(1). Let v = y - s. Calculate the remainder when 197 is divided by v.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -6*k + 280. Give a(45).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 57\/2 of a millisecond?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -28. Let z = k + -15. Put -0.1, -1\/2, z in ascending order.\nAnswer: -1\/2, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**(-2\/49))**(-13))**4)**(-2\/13))**38 assuming t is positive.\nAnswer: t**(-608\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (8 - 10)\/((-2)\/(-3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 3:40 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*o**3 + 6075*o**5 + 10 - 6086*o**5 - 12*o**3)*(-1 + 2 - 2 - 3 + 0 + 4 + (-1 + 4 - 1)*(1 - 3 + 3) + 5 + 1 - 3 + (-4 + 3 + 0)*(5 - 2 - 5)).\nAnswer: -77*o**5 + 21*o**3 + 70","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1 (b) 0.9 (c) 2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**3 + 167*z**2 - 265*z + 1184. Calculate n(82).\nAnswer: -374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-25)*(-8 + 18))\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -16 + -25 - -51 - 4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 32\/3, 18, -656\/97 in descending order.\nAnswer: 18, 32\/3, 0.3, -656\/97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/50*-2*2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -10*v. Let c(r) = 8*r + 31. Let w(j) = -j + 8. Let f(m) = -c(m) + 4*w(m). Determine y(f(n)).\nAnswer: 120*n - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 317, -68, -757, -1756, -3071, -4708, -6673?\n\"Answer: -a**3 - 146*a**2 + 60*a + 404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6186 and -78.2.\nAnswer: -483745.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 128776 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -33*a - 232. Determine r(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -662610, -662611, -662612?\nAnswer: -662613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 4\/473?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 86736029 to the power of 1\/3, to the nearest integer?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1 + sqrt(2))**2 + (-5*(-1 + sqrt(2)))**2)*-5.\nAnswer: -390 + 240*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*x - 5*t = -34*x - 25, -5*t + 25 = 15*x - 18*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1626, 2629, 3634, 4641, 5650, 6661, 7674?\nAnswer: 8689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (69*4\/3)\/((-312)\/78)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -d**7\/2520 + d**6\/720 - d**4\/12 - 3*d. Let y(w) be the third derivative of c(w). Let y(g) = 0. What is g?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -241 + 235. What is the common denominator of 79\/6 and ((-815)\/945 - -7) + q?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 8, -19, 12, 2 in increasing order.\nAnswer: -19, 2, 3, 5, 8, 12","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(343)*-2*3 + 4)**2.\nAnswer: 672*sqrt(7) + 49408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*x + 3*w, -6*w = -x - 4*w + 7. Let m = x - 1. Let f = 5 + m. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*m - 397 + 1123. Is 5 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1183 a factor of 443446910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -465\/2 and -232 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o + 3. Suppose -4*g + 7*g + 5*k + 35 = 0, 0 = -5*g + k - 49. Let b be (0 - 0)\/(g\/10). Give t(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 74 = 4*p, 12*m + 54 = 4*p + 17*m. Let z(w) = -w**3 + 5*w**2 + 6*w + 1. Calculate the remainder when z(5) is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-21)\/(-36) - (71 - (-3999)\/(-62))?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 t, and 1 m when four letters picked without replacement from ajmtmaa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11777, -11769, -11763, -11759, -11757, -11757?\nAnswer: -11759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13471443 is divided by 13471320.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*b - 35 = -2*x, 2*x - 2*b = 16. Let p = 1 + 1. Suppose -p*y - z = 13 + 6, -2*y - 3*z - 25 = 0. Put 0, y, x in decreasing order.\nAnswer: x, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/4*d + 1\/4*d**2 - 1\/4 + 1\/4*d**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 + 2*u + 17 + 0*u - u + 0*u + (-2 - 2 + 3)*(u + u + 0*u) + 0 + 0 + 5*u to the form w + n*u and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 27*b**2 - 26*b + 6. Let x be m(-26). Suppose -46 = -x*w + 8. Put 2, 1, w in descending order.\nAnswer: w, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 221 or 1976\/9?\nAnswer: 1976\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 423181118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 5*m**2 + 6*m + 14. Let w(l) = -11*l**2 - 12*l - 29. Let c(n) = 9*p(n) + 4*w(n). What is the units digit of c(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-6))\/(2\/6). Let u(c) = -c + 2. Let g(y) = -2*y + 5. Suppose -43*v + 52*v + 45 = 0. Determine f*g(d) + v*u(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 83581310 and 230.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z + 1. Let u(s) = -1. Let k = -1 - -2. Let o(v) = k*u(v) + g(v). Let t(d) = -9*d**2 + 272638 - 272638. Give o(t(q)).\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.9 - 8.9. Let q = 7.95 + b. Is 2 != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -171*13681\nAnswer: -2339451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7 + 5)\/(4\/(-25242)). Let c = b - 302993\/24. Find the common denominator of c and 65\/2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -725*s**3 - 2*s**2 + 43*s?\nAnswer: -4350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f - 1. Let o be c(5). Suppose -2*g = -0*g - o. Factor -6*s**3 - 10*s**3 + s**2 + 10*s**4 + 3*s**2 - 2*s**5 + 4*s**g.\nAnswer: -2*s**2*(s - 2)**2*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n + 4*l + 25 = 3*n, 4*l = n - 19. Let u be n*(1 - (2 - 1)). Let i be (-3 + 3)\/(-2) + u. Which is greater: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/30 + (-160)\/(-75). Suppose 0 = -3*h + 2*x - 14 + 4, -w*x + 10 = 5*h. Solve 5*g = -h*g + 25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -11*z + 185. Give x(18).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j + 1. Let g(a) = -181*a. Determine g(x(r)).\nAnswer: 362*r - 181","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2720885672.\nAnswer: 2, 739, 460231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 2 = 14. Suppose c*h - 20 = -3*h. Is h <= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.362005 meters in kilometers?\nAnswer: 0.000362005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/3676 and -7\/15436.\nAnswer: 14185684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16242137 + 37612137. What is v rounded to the nearest one million?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3476, -6974, -10470, -13964, -17456?\n\"Answer: j**2 - 3501*j + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 7. Solve d = 3*g - 2 - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -4262?\nAnswer: -4261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 m when four letters picked without replacement from mffffzzzzzzfmfzf?\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v**2 + 30834*v - 154084. What is o(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*r**2 + 2*r**2 - 15*r**2 - 52*r**2 + 28*r**2 - 17*r**2.\nAnswer: -91*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 - 48*o**2 + 180*o + 1296.\nAnswer: -3*(o - 6)*(o + 4)*(o + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((k**(-2)\/k)\/k*k)\/k)\/k)\/k*((k**(5\/6)*k*k)\/k)\/k)**34 assuming k is positive.\nAnswer: k**(-527\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 34\/119 - 187\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(6*-2*sqrt(152) + sqrt(152) + -2*(sqrt(152) - -1*sqrt(152)))*-5)\/((-4*sqrt(96)*-2)\/(sqrt(12) - (sqrt(432) + sqrt(432)*1))).\nAnswer: -825*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1413?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 7*i + 26 - 32 - 10.\nAnswer: -7*i + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 353 or 352?\nAnswer: 353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7.096378ml?\nAnswer: 0.007096378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -309*u**2. Let r(j) = 30334*j. Calculate r(i(z)).\nAnswer: -9373206*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.9164 millilitres?\nAnswer: 0.0069164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = l - 0*l + 27, 26 = 2*a - 2*l. Suppose 0*n + a = -7*n. Put -4, n, 10 in decreasing order.\nAnswer: 10, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaqqaqaqa. Give prob of sequence qaqq.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Work out 1350 + 0.12.\nAnswer: 1350.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 117319 times 11\nAnswer: 1290509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -301*n**6\/2 + 295*n**3\/3 - 7*n**2\/2 - 912. Find the third derivative of y(j) wrt j.\nAnswer: -54180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.04, -8, 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(5\/6))\/(s*s**8))\/(s**(-11)\/(s\/(s\/((s**(-4\/3)\/s)\/s))*s)) assuming s is positive.\nAnswer: s**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 68.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {l: 2, g: 5, h: 8}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28\/39 - 734\/1131. What is the closest to y in 2\/3, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 27*m**2 + 2*m - 56. Let s be p(27). Let x be 16 - (s - -1)\/(8\/32). Solve 4*b - x = -b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -76 + 28. Let d = -3.5 + 3.6. Is b != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 247\/(-11685)*4 - 12\/(-90)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -2220?\nAnswer: -10001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.04, 0.1, -6, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(1 - 2)*1. Suppose 3 + l = d. Factor 2 + d*f - 3*f + 3*f + 2*f**2.\nAnswer: 2*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 67*u + 3528. Calculate the lowest common multiple of 8 and o(41).\nAnswer: 9848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -116, -434, -1060, -2096?\nAnswer: -3644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -791896+-9.296971\nAnswer: -791905.296971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 r when two letters picked without replacement from {r: 3, d: 1, c: 5, w: 4, o: 3, u: 1}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42766.\nAnswer: 2, 21383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (3 + -5)) + -1 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.5986 * 0.139.\nAnswer: -0.2222054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 29836364 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 4:05 AM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -77*o**3 + 22*o. Let m(v) be the third derivative of -11*v**6\/120 + v**4\/8 - 126*v**2. Suppose 11*f = 196 + 46. Give f*m(g) - 3*h(g).\nAnswer: -11*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6561 or 6559?\nAnswer: 6561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85141.\nAnswer: 7, 12163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5459*y - y**2 + 5459*y = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -350, -713, -1078, -1445, -1814, -2185, -2558?\nAnswer: -2933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 3*i**2 + 5*i + 228. Calculate a(0).\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m**4\/11 - 122*m**3\/11 - 334*m**2\/11 - 268*m\/11 - 48\/11 = 0 for m.\nAnswer: -12, -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -x**5\/5 + x**4\/6 + 5*x**3\/3 + 2*x**2 - 5*x + 2. Let u(m) be the first derivative of r(m). Factor u(t).\nAnswer: -2*(t - 2)*(t + 1)*(2*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 35 = 2*o, 3*s = -s - 2*o + 28. Is s greater than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**3\/5 + 1214*b**2\/5 + 106784*b\/5 - 21600 = 0.\nAnswer: -500, -108, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*g**3 + 11 - 11 - 3*g**3 - 3*g**3 + 5*g**3 + (-1 - 2*g + 1)*(-3*g**2 + 2*g**2 + 3*g**2).\nAnswer: -11*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, m: 6}. Give prob of sequence gmm.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 453 = -3*i, -4*i + 433 = -i + 2*q. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 234*a - 958*a + 41*a + 476*a.\nAnswer: -675*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 69289 at most 67946?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.011632 to 3 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2c + a?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x - 12 = 10*x. Let h be ((525\/10)\/(-5))\/((-1)\/x). Suppose -2*q = 5*r - 0*r - h, -5*r = 5*q - 45. Calculate the remainder when q is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 396062*t - 396095*t + 1345 for t.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88771?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 36581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 34*n - 6. Let u be i(0). Let x be (-16)\/(-32) + (-9)\/u + 0. Factor -4\/9*r + 4\/9*r**4 + 4\/9*r**3 + 0 - 4\/9*r**x.\nAnswer: 4*r*(r - 1)*(r + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204993591 is divided by 7192.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((2*sqrt(162) - sqrt(162))\/sqrt(6) + sqrt(27) + sqrt(189)\/(sqrt(14)\/sqrt(2)) - (sqrt(300)*-1*-5 - (1*sqrt(300) + 3))))**2.\nAnswer: -4650*sqrt(3) + 72300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 8 + 0)*(0*k**2 - 4*k**2 + 2*k**2).\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 m when three letters picked without replacement from mzmmzmmmmm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 438704?\nAnswer: -1\/438704","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Does 2990 divide 57997030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (708*s**4 - 2146*s**4 - 1287*s**4)*(s + 4*s - 2*s).\nAnswer: -8175*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-15)*(-5)\/2. Suppose 7 = w + 3*g + 2*g, 6 = 2*w + h*g. Solve -w*s = -t - 6*s - 17, 3*t - s + 12 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13297635 and 33.\nAnswer: 146273985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2124 - 24410203?\nAnswer: -24412332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 0\/1 + 33. Suppose -4*v + 31 = -n. Suppose 4*p - 5*t - 216 = 42, t = -p + 60. Calculate the remainder when p is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(704) + sqrt(704)*-2)**2 + 3 + ((sqrt(704) - (sqrt(704) + 1)*-1) + -4)**2)*-3*-4 + 1.\nAnswer: -1152*sqrt(11) + 42433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.41, 1\/8, 2, 2\/19, 5\/2, 12?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/5*(-2 + 8). Suppose -r = z - 3. What is the tens digit of (-1)\/(-1)*r*-12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d + 8. Let g be i(5). Let h(n) = 8*n - 4. Let w be h(g). Solve -w = -k + 6*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + a + 34 = 33, -a + 2341 = 3*h + 2332 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 2\/5, -3\/11.\nAnswer: -16, -3\/11, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5a - -1?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-25)\/(-10) + (-2)\/4. Let p(q) = q**2 - 3*q**g + 7 + q**3 - 7*q - 3*q**2. Determine p(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.00946 - 0.00946. What is the nearest to -2 in -2\/9, 5, p, -0.2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10145*9845\nAnswer: 99877525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - c + 1. Let f(k) = 7*k**3 + 3*k - 6. Let b = -534 - -535. Let z(r) = -r**2 + 9*r - 9. Let t be z(7). Give b*f(w) + t*g(w).\nAnswer: 2*w**3 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4374 and 1296?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 163 - 163. Suppose -6*s + 440 + 280 = g. Is s a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39 - -58 - 15) + -1 + -12 - (-5 - -5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/36*4)\/(2\/(-15)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(-4*t - 8*t + 2*t)*(1 + t**2 - 1).\nAnswer: 10*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - y - 1 = 0, 2*y + 2 = 26*v - 21*v. Let x(d) = -3*d - 5 + 2*d + 4. Give x(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*g = -4*m - 131, -254*m + 5*g + 27 = -257*m for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*k - 24*k - 1167 + 2333 - 1166.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12918 divided by 12918.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1934*-0.1.\nAnswer: -193.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-6 - (-14 + (4 - -1))) - 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 10 (b) 3 (c) -4 (d) -100\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8643844 a multiple of 242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h**5\/8 + 17*h**4\/2 - 81*h**3\/8 - 100*h**2 + 479*h\/2 - 138 = 0. Calculate h.\nAnswer: -69, -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1178686072.\nAnswer: 2, 43, 3426413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 275.2791 and 0.7.\nAnswer: 192.69537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3\/90988 - 900644697\/636916. Let x = -1422 - b. Find the common denominator of (14\/(-160))\/(9\/((-450)\/4)) and x.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x**3 + 20*x**2 - 23*x - 6. What is the remainder when 427 is divided by t(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6128 and 18264504?\nAnswer: 3064","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1041, 2132, 3205, 4248, 5249, 6196, 7077?\nAnswer: 7880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1201, 2401, 3603, 4807?\nAnswer: 6013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 20*a**2 + 102*a - 18. Let s be z(10). Put s, -1, -66, -2 in increasing order.\nAnswer: -66, -2, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/4 + (-4)\/(-8). Suppose -3*y + 117 = -3*q, -y - 6*q + q + 33 = b. Is y a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rra when three letters picked without replacement from {i: 7, a: 1, d: 1, s: 3, r: 3, q: 2}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 178403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -332*l. Let k(v) = -71*v**2 + 94*v. Calculate o(k(w)).\nAnswer: 23572*w**2 - 31208*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 3:33 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -42450852, -42450853, -42450856, -42450861, -42450868?\n\"Answer: -d**2 + 2*d - 42450853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (0 - -28)) + 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -2\/13 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t\/(t**9*t)*t)\/t)*t*(t**(-8)*t)\/t*t*(((t*t**(2\/5)\/t)\/t)\/t)**(-1\/8))\/((((t*t**1)\/t)\/t*t*t\/((t**6*t)\/t))\/((t**8*t)\/t**(7\/3))) assuming t is positive.\nAnswer: t**(223\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -27*c + 27. Solve c*x - 10 = -5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 315 < 314?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1254 + 2768. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1153.22239 to zero decimal places.\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-432)\/(-20))\/(-4) + 6?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 r when three letters picked without replacement from {w: 5, m: 1, x: 1, v: 2, r: 9}?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*m + 5*o, 2*o + 78 = 5*m + 56 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6 - -2)\/((-6)\/(-18)*-6). Is (-2979)\/12*(x - 16) - 2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-10)\/(-8))\/((-2)\/(-64)). Let o = -6 - 22. Let x = o + s. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/29)*s*s*s**17 assuming s is positive.\nAnswer: s**(553\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 414047221 a multiple of 564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -18540.1 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1292 + 518.1292. Let b = x + -513. Let q = 0.02 - -1.98. What is the nearest to -1\/4 in q, -2\/5, b?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 864 and 26298.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 35*i - 17. Let m be a(4). Suppose 4*j - 2*j + w = -m, -2*j - 5*w = 135. Let s = j - -65. Solve 0 = -s*g - 0 + 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (12 + -20 + 2 + 11).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 785 and 1211255?\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -34250, -34245, -34244, -34247, -34254, -34265, -34280?\n\"Answer: -2*i**2 + 11*i - 34259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*k**3*l + 122*k**2*l**3 + 2*k + 348*l**3 wrt k.\nAnswer: 6*k**2*l + 244*k*l**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5*c - 18. Suppose -3*a + 5*h = 46, -8*h = -a - 7*h - 12. Calculate the remainder when g(a) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 8*p - 4. Let q be n(-7). Suppose q*t + 122 = -67. Let d = t - -117. What is the greatest common divisor of d and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 13*x + 16. Give r(15).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3 - 2 + 5 - 6*s. Let u(x) = -3*x + 5. Let f(a) = 10*a - 16. Let h(b) = -5*f(b) - 16*u(b). Determine j(h(o)).\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1457963141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14995 is divided by 268.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*n - 69*n + 14*n + 32*n**3 - n**2.\nAnswer: 32*n**3 - n**2 - 39*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -2*a**5 + 2*a**3 + 9. What is the third derivative of l(m) wrt m?\nAnswer: -240*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 10 = 0, -2*c + 2*p = -6 - 4. Let i = -132 - -129. What is the tens digit of (-1)\/((i\/c)\/23)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -88473, 7, 4 in descending order.\nAnswer: 7, 4, -88473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.96 - 7.\nAnswer: -9.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/39, -0.11, -14, 0.\nAnswer: -14, -0.11, 0, 2\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v**2 + 117474*v - 587356. Determine j(5).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1562709366?\nAnswer: 2, 3, 6277, 13831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n + 24. Let z be a(-20). Suppose j = -z*b + 5, -8*j - 2*b = -7*j - 5. Suppose j*h + h + 4*h = 0. Which is smaller: -0.4 or h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*c**4 + 2*c**4 - c**2 - 2*c + 10*c**4 + 0*c + 1 - c**3 in the form j*c**3 + x*c + n*c**4 + q + d*c**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14433?\nAnswer: 3, 17, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -219, -3597, -12773, -30645, -60111?\n\"Answer: -483*u**3 - u**2 + 6*u + 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 480657809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -734, -5985, -20276, -48125, -94050, -162569, -258200, -385461?\n\"Answer: -753*p**3 - 2*p**2 + 26*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 495 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3073 - 1453. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1643361 by -4.\nAnswer: -1643361\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1343*-26616\nAnswer: -35745288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -5*t**2 + t - 4. Let p(a) = -2*a + 7 - 4 + 5*a**2 + a**2 + 2. Let g(u) = -4*p(u) - 5*x(u). Find the second derivative of g(b) wrt b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xqxq when four letters picked without replacement from xqxqxxqxxxx.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((11\/((-220)\/1150))\/((-675)\/54))\/((-2)\/(-30)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 - 4 = 6*v for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21163574 to the nearest integer?\nAnswer: 4600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 17*p - 24. What is s(-16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/9*2)\/(222\/9)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64054539.25499618 - -64054540. Let v = q + -1.6450038. Let b = v + 0.9. Round b to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6119 + 2*l + 12*l - 14*l - 6*l + 25.\nAnswer: -6*l - 6094","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 559812498?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 606452754.\nAnswer: 2, 3, 19, 5319761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - y + 297. What is the tens digit of k(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 24 = 4*r, -3 = -5*r + 2. Let t be u\/10 + 161099964\/(-90). What is t rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.7 + -2.3. What is the nearest to 3 in -3\/2, s, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/((-36)\/8)*(-69)\/1. Let n = 48 - i. Suppose 0 = -5*o - n*o + 672. Does 16 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 15) in base 2?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 14315719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 398117081 and 932.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 25. Let y be -2 + 1 + -2 + 3. Suppose y = -t + o*t - 56. Is 14 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267967988.\nAnswer: 2, 66991997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/9)\/((117\/(-13))\/297).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kgggkkkggkggggkgggg. What is prob of picking 4 k?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 11434*o - 11439*o + 18, -2 = -o + 2*f for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 10*v**3 + 5*v**2 - 5*v + 5. Let d(i) be the first derivative of -5*i**4\/4 - 2*i**3\/3 + i**2 - 2*i - 58. Calculate -5*d(y) - 2*h(y).\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1050)\/(-300)*(8\/(-49))\/(11\/(-22))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 5*j = 37, 3*g + 2*j + 3*j = 34. Let a(m) = 5 - g + 22*m + 9 - 21*m. Let b be a(-5). Solve b*v = v - 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 4*h**2 + 7*h + 2. Suppose -15 = 5*i, 5 = -5*t + 3*i + 24. Let a(s) = -5 - 4*s + 7*s**2 - 7*s**t + s**2. Let v be a(4). Calculate x(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/8? (a) -5 (b) 73 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 427 (base 16) to base 9.\nAnswer: 1411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a factor of 62892956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = x. Let k(t) = -4*t**2 + 301 - 603 + 297 + 2*t**3 - 3*t**3 - 2*t. What is k(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 203*a**3 - 2*a**2*v**2 - a*v**2 + 1228*v**2 - 18 wrt a?\nAnswer: 609*a**2 - 4*a*v**2 - v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 643366?\nAnswer: 2, 43, 7481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7247 is divided by 31.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/2)\/(28\/(-8)). Let d = -0.1 - 0.9. Let v = 5 - 4.6. Which is the closest to -1\/4? (a) j (b) v (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -25*g + 10*g + 2*g**2 + 11*g - 1. Let x(k) = -2*k**2 + 3*k + 1. Determine -4*w(f) - 5*x(f).\nAnswer: 2*f**2 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 457132541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -22 - (-32 + (21 - -23))) + 20.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*p + 1 + 120 - 35*p to the form o*p + s and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1043 - 1036. Calculate the remainder when 437 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3\/28 - -13\/140. What is the nearest to -1\/4 in -3, t, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 12:25 PM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*f, 0 = n - f + 3*f - 7. Let m = 528 - 524. Suppose 0 = j + m*p - 127, 3*j + 2*p + 115 = 4*j. What is the greatest common divisor of j and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 98 and 112.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 4*z**2 + 4*z + 51. Let h be t(6). Calculate the greatest common factor of h and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 934037 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2938 and 208.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0, 2, -2, -10103, 1\/4, 5 in ascending order.\nAnswer: -10103, -2, -0.2, 0, 1\/4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 e when three letters picked without replacement from wwwwwwwwwwweeeww?\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/1 + (-90365)\/12. Let o = 7539 + s. Calculate the common denominator of o and 1\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10536b8 (base 13) to base 16.\nAnswer: 4bf2da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z = -5*z + 60. Let w(t) = -3*t - 48 + 43 + 2*t. Determine w(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6 + (-176)\/(-28))\/(6\/63). Solve m*n + 15 = -2*a, -3*n = n + 20 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 0*a = 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1c192 (base 13) to base 16\nAnswer: d7ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**4\/2 - 30*g**3 + 265*g**2\/2 - 255*g + 180.\nAnswer: 5*(g - 4)*(g - 3)**2*(g - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 187\/780 and 61\/25?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 8*g**2 - g + 1289. Let u = 428 + -428. List the prime factors of q(u).\nAnswer: 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -q - 3*q. Suppose 0 = 5*w - q*w + 48. Suppose -3*r + 6 = 3*d - w, -r - 3*d + 12 = 0. Let h(a) = -2*a**2 + 2*a + 4. Determine h(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 27*w - 12. Let n be s(8). Let x be 1\/((-4)\/n*-3). Solve 5*i + x = 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3\/3 - 1011472*j**2\/3 + 63940202432*j\/3 + 255776993536\/3.\nAnswer: 4*(j - 126436)**2*(j + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2*(sqrt(99) + -5 + sqrt(99) + -3)*-4 + 0)**2.\nAnswer: -6432*sqrt(11) + 29833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -326*((-30)\/12)\/5. Let j(s) = 83*s**2 + 1. Let u be j(1). Let x = m - u. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/((-78)\/5))\/(8\/(-6))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 + -41.9. Let z = 4 - 3.6. Put 5, k, -2, z in descending order.\nAnswer: 5, z, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 12, j - 2*l + 20 = -3*j. Let q be 3*j\/((-9)\/6). Solve 4 = 2*y + q for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 8*h**2 - h + 3. Let w = 12 - 14. Is 15 a factor of y(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1132446 minus -0.5?\nAnswer: -1132445.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f + 38. Let g(n) = 34*n - 1157. Let u(s) = -g(s) + 2*o(s). What is u(44)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -4*s - 15. Let b be k(-5). Solve -5*v + 1 - 36 = b*h, -2*h - 9 = v for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2649, 2648, 2647, 2646, 2645, 2644?\nAnswer: 2643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*b**2 - 97*b**2 - 216*b**2 - 122*b**2 + 10*b**2.\nAnswer: -495*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/4 and -73\/4044.\nAnswer: 4044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005854 to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 9\/4 (b) -0.1 (c) 0.09 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 204*f - 168. What is the tens digit of d(30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 110, -4, 188 in increasing order.\nAnswer: -4, 1, 5, 110, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*f + 9*f + 1. Are f and 2\/57 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 22937210 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -33. Suppose 5 - 3 = k. Let o = k + 2. Calculate the lowest common multiple of o and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -5, -9, 2\/11, 4, 5.\nAnswer: -9, -5, 2\/11, 0.2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 510186.\nAnswer: 2, 3, 23, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from imbxgtt. What is prob of sequence tg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 56 + -53. Suppose 5481 + 4614 = b*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jvmt when four letters picked without replacement from {j: 2, o: 1, v: 1, m: 4, t: 2}.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -123 - -198. Let r = 81 - v. Calculate the highest common factor of 12 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a week in minutes?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 7*r = 1761376. Let w be r\/(-171) + (2\/9 - 0). What is w rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*t**2 - 9*t**2 + 30803 - 30820 - 9*t**2.\nAnswer: 2*t**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-1\/11))\/(h*(h**(2\/7)*h)\/h)*(h**(1\/5))**(33\/5) assuming h is positive.\nAnswer: h**(1816\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3\/7 + 9642*c**2\/7 - 37503*c.\nAnswer: 3*c*(c - 27)*(c + 3241)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -4 (c) 4\/3 (d) 10 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20)\/(-5) - (-1 + 1). Suppose 76 = n*d + 4*c, -d + 2*d + 2*c - 22 = 0. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -4. Let i be (-1 - -1)*s\/2. Let o be (1 - 2)\/(3 + 0). Sort 3\/2, o, i.\nAnswer: o, i, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3440*n = 2395*n - 1127*n - 301312 for n.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4*q + 1127, -2*q - 2*f + 560 = 2*f. Let z = 6 + -4. Suppose q = z*t - 0*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and (-21)\/(-3) - 66\/(-6)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(-1\/2)))**(15\/7)\/((g*g**(2\/19))\/(g*g**(1\/9)))*(g**1*g**(-4\/5))**(2\/43) assuming g is positive.\nAnswer: g**(559273\/514710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.13037 minutes to milliseconds.\nAnswer: 2647822.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-3045)\/(-14) - 3)*((-10)\/6 - -3) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-28)\/70*-10).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 340 divided by 17?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66996 and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kn when two letters picked without replacement from kakananknna?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 1 + -19 + 12 + 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -4*b - 35, -43 = -2*p + 5*b - 8. Determine j, given that -30*j**4 - 329*j**2 - 115*j**2 + 108*j - 48*j**4 + 8*j**p + 268*j**3 + 84*j**2 + 54 = 0.\nAnswer: -1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.6 * 6.\nAnswer: -9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.2, -855, 2, -0.49, 0.3 in decreasing order.\nAnswer: 2, 0.3, 0.2, -0.49, -3, -855","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -253 - -4?\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-9) - (-4)\/18. Let f = -18801 + 18771. Which is the biggest value? (a) -4\/7 (b) -0.1 (c) f (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -108 - -113. Let f(s) be the first derivative of -s**4\/4 + s**3\/3 + 5*s**2\/2 + 7*s - 3. Let z be f(c). Round z to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 674661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 61503191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 7:15 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.5 (b) 4 (c) -0.18 (d) 20.77 (e) -7\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llqllqdqlkqlllvlqql. What is prob of picking 1 d and 1 k?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*i + 110 = -5*t - 55*i, i = 5*t + 100. Let s(m) = 2959*m**2 + 10*m - 9. Let y be s(t). Round y to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6587138 to the nearest 100000.\nAnswer: 6600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 129993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1277736766816 plus 6?\nAnswer: 1277736766822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.62556602 rounded to 2 decimal places?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*p = 5940, 4*z - 2704 - 2056 = 4*p. Suppose -w - 4*w + z = 0. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 + 31. Suppose p*d - 35 = 7. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14089037.93 rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 21*b**4\/4 + 7*b**3\/6 + 25*b**2\/2 - 2*b - 9. Is n(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 22 = -5*b - 2*h, 4*h - 16 = -2*b. Let o be ((-6)\/b)\/((-21)\/(-4)). Is 1\/3 > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 3:03 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 130*m**2 - 30*m**3 - 130*m**2 + (30*m + 8*m - 8*m)*(-2*m**2 + 3*m**2 - 2*m**2).\nAnswer: -60*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 378\/70 + (-4)\/10. Suppose t*n = 6*n. Suppose 4*u - 280 = -n*u. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, h: 2, j: 1, x: 9}. Give prob of sequence jh.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -46702722 less than -93405445\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 269*0.2\nAnswer: 53.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - k - 16 = 0. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22644 in 1\/3, 1\/4, 274?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -4 - 2*y**2 - y**2 + 2*y + 5 - 4 - y**3. Let g(t) = t**2 - 9*t + 10. Let q be g(7). Let w be j(q). Solve d = -v - 8, -v + w = v - 5*d for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 17*j**2 + 7. Let o be w(-17). Let l = 10 - o. Factor 2*g - g**2 + g**3 - 1 + 5*g**2 - 3*g**2 - l*g.\nAnswer: (g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 + -36. Which is the biggest value? (a) i (b) 4 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -69 - -66. Put s, 5, -4 in ascending order.\nAnswer: -4, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(1872) - 3*(sqrt(1872) + -2)) + 3 + 2 + sqrt(1872) + sqrt(1872)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204)*1)\/sqrt(12) - 5*-1*sqrt(17))**2 - (sqrt(833) + sqrt(833)*2 + sqrt(833) - (sqrt(153) + (-1*sqrt(153))**2)).\nAnswer: -25*sqrt(17) + 765","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 300 divide 461844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*7\/63 + 16\/54?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5484 + 422?\nAnswer: 5906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -13. Calculate the greatest common divisor of 40 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*a + 36*a + 118 + 33*a.\nAnswer: 15*a + 118","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0982 times 1.485?\nAnswer: -0.145827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1594, -2, 1\/6 in decreasing order.\nAnswer: 1\/6, -2, -1594","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of x**4\/4 - 25*x**3\/3 + 72*x**2 - 8018. Suppose b(w) = 0. What is w?\nAnswer: 0, 9, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.241088 and -2115.\nAnswer: 509.90112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 592.130915 rounded to 0 dps?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-6) + (-5)\/(-3). Suppose -33 = 3*m + b, 0 = -3*m - 0*b - w*b - 33. Let v = 17 + m. Solve v = 4*d + 18 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (27\/4)\/9*-4. Let v be (j\/9)\/((-4)\/(-8)). Which is the third biggest value? (a) -1\/4 (b) -0.02 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10.24 - 12.3. Let z = g - -0.06. Put z, 3, -14 in increasing order.\nAnswer: -14, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 7*c + 120 = z, 2*z = -5*c + 72 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -69027862*-0.3\nAnswer: 20708358.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*2*(-363)\/(-88). Solve -16*q + 49 = k for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**5\/(a**6\/a))\/(a**(-1\/5)\/(a\/(a\/a**6))))\/((a**(-5)\/(a\/((a**(-1)\/a*a)\/a)))\/(a**1)**(-2\/37)) assuming a is positive.\nAnswer: a**(2617\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 3. Let v(k) = 2*k**2 + 8. Let u(s) = -3*v(s) - 8*x(s). Suppose -4 = -f - 1. Let o(b) = f*b - 5*b + 2*b + 2*b. What is o(u(t))?\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 504 + -288. What is the common denominator of -39\/8 and (10\/192)\/(8\/u)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2*h = -15605 + 73965, -3*a = 4*h - 35002. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2196427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l. Let z(n) = -54254455*n**2. Determine o(z(x)).\nAnswer: -108508910*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 19 - 8. Let d = -20 - l. Let t = -3 + d. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -89 - -93. Let m(u) = -u**2 + 11*u - 6. Suppose -2*k - 24 = -2*i, i - k = -i + 23. Let q be m(i). What is the second biggest value in q, n, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t - 42*t**3 + 209*t**2 - 209*t**2 - t**3 + 3*t**3 - t**3 + (t - 6*t + 3*t)*(-t**2 + 5*t**2 - 2*t**2) + 36*t**3 - 12*t**3 + 9*t**3.\nAnswer: -12*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -9*w**3 + w**2 + 4*w + 7. Let x(r) = -4*r**3 + r**2 + r + 4. Let g(k) = 6*p(k) - 13*x(k). Let m be g(-5). Solve 0 = -6*u + m*u + 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-34)\/(-255)*15 - -11*26\/(-138). Is 0 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1764782.34 rounded to the nearest 10000?\nAnswer: 1760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 5:51 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2*h + 30 - 5, 5*i - 5 = 2*h. Let w = h - -27. Does 6 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6268 and 12.\nAnswer: -75216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -936853 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2323941366?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-165)*-110*18\/(-204).\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of 9 + 729\/7*r**2 - 2*r - 18\/7*r**3 + 1\/42*r**4. Factor p(f).\nAnswer: 2*(f - 27)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 42 = -12. Let p = 10 - m. Solve -a = p*l + 12, -4*l - 4 = 5*a + 8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -56, -68, -60, -26?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*6*(sqrt(475) + (sqrt(475) - (sqrt(475) - (sqrt(475) - (-2 + -1 + sqrt(475) + sqrt(475))))))*-4)**2.\nAnswer: 82944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, -1\/28, 0.161601, 5?\nAnswer: 0.161601","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 4254717480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -361697 in -3, -2\/5, 0.5, 2\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 1. Let p(t) = 88*t**3 + 12*t**2 - 12. Give -12*n(u) + p(u).\nAnswer: 88*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of b**5\/20 + 7*b**4\/4 - 7*b**3 + 47*b**2\/2 + 258*b. Is l(-21) a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19.86 - 20. Let t = b - -4.44. Round t to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286*t - 5223531 = 255*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1151 and -0.9?\nAnswer: -1035.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 16*w**3 - 4*w - 5. Let x(u) = -24*u**3 + 6*u + 8. Determine -8*j(d) - 5*x(d).\nAnswer: -8*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112 divided by 14.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 28*q - 34. Calculate w(5).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*c + 2*c**2 - 6 + 6*c + 184*c**3 + 25*c + 181*c**3 - 367*c**3 to d*c**3 + n*c + o*c**2 + a and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6452 is divided by 307?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*v - 4*v. Let q(w) = -4*w**2 + 7*w - 1. Let u(b) be the first derivative of -b**3\/3 + b**2 - 3. Determine v*q(g) - 7*u(g).\nAnswer: -g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 679 divided by -694491.\nAnswer: -97\/99213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -823*i + 754*i + 32430. What is the remainder when i is divided by 71?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v = 4*v + 24. Suppose -x + 7 = r - 0, 4*x = 4*r + v. Find k, given that 4\/3*k**r + 0*k**2 - 16\/3*k + 0 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**2. Suppose -5*u = 3*n + 53, -n + 2*u - 3*u = 17. Let s(y) = -20*y. Let t(p) = p. Let z(c) = n*t(c) - s(c). What is f(z(v))?\nAnswer: -32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 11*j + 1. Let d be i(-11). Suppose 13*o - 6*o - 14 = 0. Let u be (-1 - 0)*(5 + 4) - o. Put d, u, 4 in ascending order.\nAnswer: u, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + -1 + 9 - 3. Let y = f + -5. Solve y = 3*z - 4*z + 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-405909540)\/(-207))\/4 - (-4)\/46. Suppose -7*f - r = -24*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - (sqrt(17) + -2) - sqrt(17))*3 + -3)*-3.\nAnswer: -9 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 378*p + 94*p + p**2 + p**2 + 0*p**2 - 5.\nAnswer: 2*p**2 + 472*p - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -257*v + 1. Let i be f(-3). What is i rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82645 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*w - 5*f, 3*f = 4*w - 1 - 6. Suppose -4*o + x = -4, 3*o + w*x - 24 = -o. Solve -5*z + 20 = 0, 18 = -0*u + 2*u + o*z for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x be (-22)\/4*1*-2. Suppose -8*f - 75 = -x*f. Let p = -13 + f. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/(-10))\/(5\/(60\/54))?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 6c3aa?\nAnswer: 6c3a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 5\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a milligram in micrograms?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/(-8)*(-6)\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1980 - 1979.6. What is the second biggest value in -2, t, -15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 22*l**3 - 215*l**2 + 363*l - 1857. Give a(9).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + l - 1. Let w(k) = 7*k**2 + 7*k - 9. Let o(m) = 10*b(m) - 2*w(m). Factor o(g).\nAnswer: -4*(g - 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2136662 and 2758?\nAnswer: 14956634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 9*t**2 + 4. Let s(v) = 22*v**2 + 10. Let g = 20 + -15. Suppose k + 25 = -g*m, 2*k = -m + 4*k - 5. What is m*s(r) + 12*y(r)?\nAnswer: -2*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7065 - 7034.77. Let o = l + 0.77. Let m = o - 30.9981. What is m rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 266826, 1068042, 2403402, 4272906, 6676554, 9614346?\n\"Answer: 267072*b**2 - 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 15, -0.07, 0, 2\/3, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 106560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 2 + -18 - (12 - (20 - 31) - 14)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 235 + -170?\nAnswer: c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 - 18 + 13*d to f + j*d and give j.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**16*b**(-7)*((b*b*b*b*b**12*b)\/b)\/b**(-10\/7))**(-31))**(2\/67) assuming b is positive.\nAnswer: b**(1984\/469)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**4 + 2*m**4 - 3*m**4 + 6*m**4 + 0*m**4 - 3*m**4 + (-2*m**4 - 2*m**4 + 6*m**4)*(-3 + 2 + 3) to t*m**2 + f + l*m**3 + w*m + z*m**4 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -72*d**4\/5 - 11544*d**3\/5 - 428858*d**2\/5 + 2714764*d\/5 - 3981842\/5 = 0. Calculate d.\nAnswer: -83, 17\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -128609 divided by 3?\nAnswer: -128609\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 1:40 PM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 33\/9 + (-10)\/15. Sort o, 4, -4, 81 in decreasing order.\nAnswer: 81, 4, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63148699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -6d05?\nAnswer: -6d02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210 (base 7) to base 10.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 424130 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -15. Let w(u) = 6*u**2 - u - 2*u**2 - 1 + 0*u**2. Does 13 divide w(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7\/((-63)\/24) + 2)*-6. Find the first derivative of 17*y**c - 5*y**3 + 5*y**3 - 27*y**4 + 18 wrt y.\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = g - 0*g. Let p = g + -7. Solve -22 = r + 5*q, 25 = -p*q + 5*q for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (40 + (-47232)\/1189)*(-2)\/(-8)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -945*l**5 + 10*l**2 + 40*l wrt l?\nAnswer: -56700*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70569 and 57150?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6 + 2 + 37202\/9291. Let y = 62083805 - 212512861567\/3423. Let r = f - y. Which is bigger: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 4*p - 7. Let c be v(6). Solve 1\/2*m**c - 3\/2*m**3 + 0 + 0*m**4 + 0*m - m**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 7) + -76 + 69 + 5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4729*y + 126 = 4735*y. Let w(f) = -7*f**3 + f**2 + 2*f + 1. Let m be w(-1). What is the highest common divisor of y and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -13 + (1 - -7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 91589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -50, -7, -5, 2, 4700 in increasing order.\nAnswer: -50, -7, -5, 2, 4, 4700","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2919920 divided by 5?\nAnswer: 583984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 6*r - 8*r + 18, 3*r - 37 = -5*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 635*k**5 - 4496*k**4 + 18109*k + 946?\nAnswer: 12700*k**3 - 53952*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 30*j = -25*j - 10 - 25, -73*j + 819 = 4*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -70 - -128. Suppose y = 3*b - 35. Calculate the greatest common divisor of 279 and b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -2, 0.02565?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) 1 (b) 1\/4 (c) 0 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + 2*x - 4, 5*x = -z + 5 - 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g\/g**5))\/g)\/((g\/(g*g*g\/g**(2\/3)*g*g))\/g)*(g**1)**(-3) assuming g is positive.\nAnswer: g**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from dttdtdd?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17768516.\nAnswer: 2, 739, 6011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2191b (base 14) to base 12.\nAnswer: -3b105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 2*n + 0)*(-5*n**2 + n - n)*(29 - 12*n**2 - 29).\nAnswer: -120*n**5 + 360*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 - 6*s + 5. Let z be x(3). Suppose 0 = v - l - 229, -z*v + 213 = -4*v - 5*l. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/6 + 4\/3. Find the third derivative of -q**4 - 2*q**2 - q**u + 8*q**4 - 3*q**4 wrt q.\nAnswer: 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (67\/((-1407)\/(-84)))\/(-31*2)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w + 28. Let i(y) = -3*y + 30. What is -5*g(l) + 4*i(l)?\nAnswer: -2*l - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 477565631.4 and -7062.\nAnswer: 477558569.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -391 - -476. Calculate the highest common divisor of r and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1295, -1856, -2421, -2990, -3563, -4140?\n\"Answer: -2*o**2 - 555*o - 738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-7)\/z)\/z*z*z*z\/(z\/(z\/(z**(-4)*z)))*z*z)**(-36)*(z**(5\/6)*(z\/(z**(1\/2)*z))\/z)\/(z**(2\/3)\/(z*z\/(z**4*z)*z)) assuming z is positive.\nAnswer: z**(98\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 14 (b) 0 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29173183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 20400?\nAnswer: 20395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 4*h + 4*h + (h - h - 2*h)*(1 + 0 + 0) - h + 2 - 2 - h - 3 + 3 + 0*h + h + h)*(0 - 6 + 1)*(6*h - 6*h + 3*h**2).\nAnswer: 45*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4.3462 * 4\nAnswer: -17.3848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-35) + ((-72)\/210 - -1).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1082595?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94 + 3741*h + 44 + 50.\nAnswer: 3741*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-1\/10))\/j**(-2\/7)*(j\/(j*j**(-13))*j)\/j*j**7 assuming j is positive.\nAnswer: j**(1497\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12969, -12946, -12859, -12666, -12325, -11794, -11031?\nAnswer: -9994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 8. Let a(g) = -g**2 + 9*g - 7. Let r be -3 - (-16)\/2 - -3. Let y be a(r). Sort f, y, 0.5.\nAnswer: f, 0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 211298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h**2 - 212*h - 1612. Calculate v(-8).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 10*y**2 + 5*y + 29. Give l(-10).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uppppuuuupupuuup. What is prob of sequence uu?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-3) + 4\/26. Let b be 626*(0 - 2\/(-24)). Let g = -52 + b. Sort j, 2\/9, g in decreasing order.\nAnswer: 2\/9, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + d)*(-12 - 7 + 15 + 0 + 4 - 2 + (4 - 4 + 1)*(-2 - 1 + 2) + 0 - 4 + 2 + 2 - 1 - 2)*(0 - 2 + 4) in the form l + c*d and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8891991 and -0.2.\nAnswer: 1778398.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 8 = -5. Let z(c) = 5*c**2 - 8*c + 4. Let s(w) = -w**2. Let m(l) = r*s(l) + z(l). Find o such that m(o) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.2707969 minutes to weeks.\nAnswer: 0.005880039375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -418, 3, -0.3 in descending order.\nAnswer: 3, -0.3, -418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 139338 - 425741\/3. Let d = g + 2632. Let a = d - 57. What is the third smallest value in -0.1, 0.2, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of f**4\/15 + 24*f**3\/5 + 14*f**2 + 2*f + 878. Solve w(h) = 0 for h.\nAnswer: -35, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2580*a**3*w**3 - 9*a**2*w**3 + 89*a*w**3 wrt a.\nAnswer: -15480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(2) + sqrt(2) + 4)*1)**2 + sqrt(8)\/(sqrt(100) + sqrt(100)*5).\nAnswer: 481*sqrt(2)\/30 + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -17*v**3 + 9. Let p(k) = 4*k**3 - 2. Give 2*m(a) + 9*p(a).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -577*l. Let r(p) = 33*p - 1. Let k(i) = -98*i + 3. Let n(h) = k(h) + 3*r(h). Calculate n(y(v)).\nAnswer: -577*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -51*z**2 - 5*z + 5. Let o(t) = 943*t**2 + 92*t - 92. Calculate -92*c(f) - 5*o(f).\nAnswer: -23*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**3 + 16*o**2 - o + 13. What is the remainder when b(8) is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.55732 to 3 dps.\nAnswer: 0.557","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - -145. What are the prime factors of k?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*t - 64 = 4. What are the prime factors of t\/(-7) - 17\/(952\/(-35352))?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 648*g**4 - 333*g**2 + 224792*g wrt g.\nAnswer: 7776*g**2 - 666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 4342*z - 1971256. Give x(454).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 623 - 621. Suppose 4*u = w*h + u - 3226, -3*u = -4*h + 6458. What are the prime factors of h?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -128 + 217. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 7*x**2 - 39*x**2.\nAnswer: -46*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12863251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n + 6. Let m = -8 - -14. Let b be p(m). Suppose 0*h + 5*h + 5 = b. What is the smallest value in 3, h, 0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 3, -1, -81 in descending order.\nAnswer: 3, -1, -3, -5, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/9 + 13327*i**2\/9 + 3491915*i\/9 + 231036029\/9.\nAnswer: (i + 133)**2*(i + 13061)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2016653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -537790 = -185*i - 518180 for i.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w**5 - 10*w**4 + 60*w**3 + 70*w**2 - 55*w - 60 = 0. Calculate w.\nAnswer: -4, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/276 + (-889)\/132 + 7.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4036217119.\nAnswer: 11, 366928829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -32*d**2 - 1. Determine m(-1).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 408 a factor of 2649590407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 0 (b) 4\/11 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29 in 9\/2, 4, 0.5, -0.5, 2\/17?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -0.11, -0.08, 0, -9, 3.59?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 13, z: 3, f: 4}. What is prob of picking 3 f?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 54\/7 less than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f - 3*h - 54 = 0, -h + 47 = -10*f + 88 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(-5)\/s*s)*s*s)\/s)**3 assuming s is positive.\nAnswer: s**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 5. Let r(j) = 0 - 4*j - 7 - c - 1. What are the prime factors of r(-6)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104 and 1768.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 v when two letters picked without replacement from xxxxxvxvxxxxxxxxvvxx.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -65 + 5026 + 140900*j - 146100*j with respect to j.\nAnswer: -5200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pxpbqppjjjxppp. Give prob of picking 1 q and 2 p.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -59 - -52. Which is the nearest to 0.1? (a) k (b) -4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/3)\/(1\/(-3)). Suppose -5*u = 3*v - 16, i*u + 0 = v + 6. What is the second derivative of -u*n**2 - 7 + 2*n - 2*n**2 + 7 wrt n?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 351612 (base 7) to base 16\nAnswer: f660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004816364 to five decimal places.\nAnswer: 0.00482","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(425)*1)**2 - (2*sqrt(425))**2*2) + (1*sqrt(102))\/sqrt(6) + 0 + sqrt(17) + -2*sqrt(17) + sqrt(17))*2.\nAnswer: -4250 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16057?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/1016 and 127\/6.\nAnswer: 3048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 9*l**2 + 4*l + 10. Let c be y(-9). Let u be 2\/13 + (-74)\/c. Suppose -u*r - 11 + 32 = 0. What is the remainder when 12 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -x - 0, -3 = l + 2*x. Let t be (-2)\/(-3)*(-161)\/322. Which is the nearest to -0.5? (a) t (b) -4\/7 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (4 - (-192)\/(-27))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c + 3*c - 3*c. Let d(u) = 3*u**2 - 10*u + 2. Let f(t) = -66*t**2 + 225*t - 45. Let l(x) = 45*d(x) + 2*f(x). Determine s(l(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 89.0116 centuries?\nAnswer: 106813.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -2\/19 (b) -5 (c) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x - 2. Let t(k) = 2*k + 3. Suppose 0 = -0*p - p - 3. Suppose 0 = 36*s - 26*s + 30. Let r be -8 - (-5 - (2 - s) - -6). Calculate p*t(j) + r*u(j).\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*s**6 - 148986186*s**4 - s**2 - 13392096*s - 5 wrt s.\nAnswer: -240*s**3 - 3575668464*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 372*u - 3. Let m be z(6). Let o = -15567\/7 + m. Let d = 1290 - 6417\/5. Calculate the common denominator of d and o.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**2*b\/(b\/b**(-6)))**44 assuming b is positive.\nAnswer: b**(-176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/15 (b) -0.2 (c) -3 (d) 0.235 (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -456, -1830, -4120, -7326, -11448?\nAnswer: -16486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12978617 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 147, 306, 477, 666, 879, 1122?\n\"Answer: l**3 + 152*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -9 + -4 + -4 + 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -601 - -851. Is 8 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 10:50 AM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -2) + -6 + (9 - (7 + 4))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/3)\/x)**(-4\/13)*((x*x\/(x*x**(-12\/5)\/x*x))\/x)**33 assuming x is positive.\nAnswer: x**(15464\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, r: 1}. Give prob of sequence hr.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/25*10\/(-4))\/((-126)\/(-1575))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/66 and -67\/114543?\nAnswer: 229086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -22*c - 2. Let f be k(-1). Solve -3*z - 12 = 2*t, -4*t = -5*z - 7*t - f for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6243\/10 + -622. What is the common denominator of -35\/8 and x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 17*i**2 + 14. Let r(t) be the second derivative of t**3\/2 + 495*t. What is r(k(s))?\nAnswer: 51*s**2 + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 261 - -29119?\nAnswer: 29380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 + -8. Let f = -28 - p. Let 4\/7*c - 2\/7 - 2\/7*c**f = 0. What is c?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3*u = -19, -2*u = 2*x - 4*x - 8. Let l be (x + 10)*1 + -2. What is the lowest common multiple of 1 and l + (0 - 1 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -0.2, 3, 1, 16.\nAnswer: -25, -0.2, 1, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 3*t + 25, 2*k - 5*t = -2*k - 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 3*w - 1, 9*w - 14*w + 5 = 0. Which is smaller: -1.207 or v?\nAnswer: -1.207","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9496?\nAnswer: 2, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 9*c**2 + 3*c - 13. Let x be k(-9). Let y = x - -42. Determine r so that -3*r**y + 2*r + r**2 - 3*r**2 + 3*r = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2420 - 41. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-390*s - 216*s - 70*s)*(0 + 0 + s).\nAnswer: -676*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 - 4*g**2 + 3*g**2)*(-g**2 + 0*g**2 + 3*g**2)*(9*g - 9 + 9).\nAnswer: 36*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 1 - 17. Let k(p) be the second derivative of 0*p**2 - p + 0*p**3 + 1\/40*p**5 + 0*p**w + 0. What is q in k(q) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 291258658?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*f - 4 + 6 + 39*f - 2.\nAnswer: 26*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 40, -4, -3 in decreasing order.\nAnswer: 40, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -625.99 to the nearest 10.\nAnswer: -630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207 - 66 = 184*d - 43. Let a = 4 + -3. Let y be (a - 1)\/((-2)\/(-1)). Put -4, d, y, -1 in descending order.\nAnswer: d, y, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3\/7 + 39*p**2\/7.\nAnswer: -3*p**2*(p - 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20837040?\nAnswer: 2, 3, 5, 7, 79, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**9*u\/(u\/((u\/(u*u**(7\/3)))\/u)*u))\/((u**3*u)\/u**13))**29 assuming u is positive.\nAnswer: u**(1276\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**3\/9 - 478*m**2\/9 + 784*m\/3 - 312 = 0. Calculate m.\nAnswer: 2, 3, 234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 100*v + 15. Let g(d) = 100*d + 12. Calculate 4*g(y) - 3*i(y).\nAnswer: 100*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (2\/2)\/(2*19\/304)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3522 (base 13) to base 11\nAnswer: -5676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*t - 13*t = 720 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000434659 rounded to six dps?\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cji when three letters picked without replacement from {i: 1, j: 9, c: 9}?\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 167826*h - 167816. What is v(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 0.3, -1593.8, -17.3?\nAnswer: -1593.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 10:41 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21412*c**2 - 42825*c**2 + 21412*c**2 + 8886 to the form k*c + d + u*c**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67472*k + 29900*k - 45737*k - 57447*k.\nAnswer: -140756*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4161 (base 8) to base 13.\nAnswer: -ca3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26\/11? (a) -1\/4 (b) 2 (c) -0.3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 460485 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 6*o**2 - o - 3. Let d be s(-3). Suppose 3*j - j = d. What is the remainder when 52 is divided by j?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1505 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 5*z - 6. Let q(l) = l + 1. Determine -k(o) - 6*q(o).\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - i**2 + 3*i - 7. Determine v(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -9*d**2 - 3*d + 80. Let a(r) = 7*r**2 + 2*r - 81. Determine 5*a(y) + 4*i(y).\nAnswer: -y**2 - 2*y - 85","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.25 + -0.34. Let q = 2.09 + m. Put q, 0.02, 0.1 in increasing order.\nAnswer: 0.02, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**5*j + 27*g**4*j + 2*g**3*j + g**2*j - 5*g wrt g.\nAnswer: 60*g**2*j + 648*g*j + 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7 + 1 + -4)*-1. Let o be 0 + (j\/(-4) - -60). Suppose -13 + o = 4*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 i when three letters picked without replacement from kmpppdkppppjipppkkp?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 + h**3 + 4*h**3 - 6*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-9)*k*k*k*k**(-8)\/k*(k*((k*(k\/(k*k**(2\/3)))\/k)\/k)\/k)**38)**(-2\/11) assuming k is positive.\nAnswer: k**(356\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*z, 0 = 4*p - 2*p + 4*z - 26. Suppose -g + 0 = -p. Solve 2*q - 5*q = g for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34550*k = 34887*k + 9436 for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1478 divided by -28610?\nAnswer: -739\/14305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is b88 (base 16) in base 2?\nAnswer: 101110001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 16) in base 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 30*a - 3. Let b(s) = -3*s**2 - 10662*s + 10662*s. What is h(b(u))?\nAnswer: -90*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 12:52 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1800535 or -0.2?\nAnswer: -1800535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 6. Calculate the highest common divisor of j and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of 29*p**6\/40 + 58*p**3\/3 - 138*p**2. Differentiate i(b) wrt b.\nAnswer: 261*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 14453635 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3)\/q*q**(2\/5))**(-1\/5) assuming q is positive.\nAnswer: q**(18\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 304, 0, -4 in ascending order.\nAnswer: -4, -1, 0, 304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 92 + -119 + (84 - -20)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 4 + (-1 - 13 - (85 - 92))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -88 - -91. What is the smallest common multiple of a and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 9*t**2 + 3*t + 9. Give s(-9).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1593, -12823, -43313, -102693, -200593?\nAnswer: -346643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of 5\/72*k**4 + 0*k + 1\/540*k**5 + 0 + 55*k**2 + 7\/27*k**3. Factor o(l).\nAnswer: (l + 1)*(l + 14)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108.145384 rounded to 2 decimal places?\nAnswer: 108.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/10*35\/(-15) + 15\/(-10). Which is the closest to -1\/7? (a) 4 (b) 25 (c) s (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(0 + (-4)\/(-10)). Suppose x*o = 10, -2*s + 3*o + 42 = 2*s. Is s even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**4\/4 - 11*u**3 + 116*u**2 - 340*u + 300 = 0. What is u?\nAnswer: 2, 10, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00031357 to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -11. Suppose -3*z = 11 - o. Let f = -6 + 11. Which is the third smallest value? (a) 1 (b) f (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4 - -6)*-1)\/(4\/30). Let v be (-208)\/(-10) + -3 - 3\/x. Suppose -2*j = -k - 195, j - 72 - v = -2*k. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*1)\/(6*(-3)\/36)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*f + 2*f + 13*u, 3*f + u = -3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/(-225)*(-20)\/(-6)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-142)\/(-10) + (-6)\/30. Let w be (-4)\/t - 4\/(-14). Find b, given that 3*b + b - 2 + w*b**2 - 2*b**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 2:03 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13325\/533*4\/12*3\/1.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5194 is divided by 80?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from hhccccccch?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 10*h. Let v = -4 - -8. Let t be f(v). Let o = t - 21. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w**4 + 4*w**4 - 4*w**3 - 5*w**4 + (-2*w**2 + w**2 - w**2)*(3*w**2 + w**2 - 3*w**2).\nAnswer: w**4 - 4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -5.03. Let v = -130 - -133. Sort 0.3, v, t.\nAnswer: t, 0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.45294 to 2 decimal places.\nAnswer: 7.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4*t**3 + t. Let s be (-16)\/3*(-117)\/52. Let r = 12 - s. Suppose -2*a + 10 - 8 = r. What is n(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6747383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 5*k**2 - 6*k + 18. Determine p(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 141880.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 4*n = 3780, a - 4*n + 3*n - 945 = 0. Is a a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6058 - 2016 = 463*k + 742 - 11516 for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4*r**2 - 3 + 7*r + 0 + 2 - 3*r**2. Let s be a(-7). Let x be 2*s - (-20)\/5. Solve -m = x*p - 3 - 1, 4*m = 16 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15763515961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0.2 (c) 4631\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6889 - 1a89?\nAnswer: 4c00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 0*c + 7\/6*c**6 + 22 + 0*c**5 + 0*c**4 + 40\/3*c**3 + 0*c**2. What is the third derivative of i(m) wrt m?\nAnswer: 420*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/5)*f)**(-29)\/(f\/(f*(f\/f**(-1\/3))\/f)*f)**7*((f**(5\/2)*f)\/(f\/(f**(5\/4)*f)))\/(f*(f**(-2\/5)\/f)\/f*f**(2\/5)) assuming f is positive.\nAnswer: f**(-979\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-3) + (-19)\/(-3) - -1. Let y(b) be the first derivative of 3*b**2\/2 + 1. Let j be y(4). Calculate the greatest common factor of i and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 10 = 5. Suppose -27 - 23 = -c*a. Let n = -6 + a. Sort n, 3, -2 in descending order.\nAnswer: n, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, z: 8, p: 3, n: 2, q: 2}. What is prob of picking 1 n, 1 f, and 1 p?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m**4\/9 - 136*m**3\/3 + 11681*m**2\/3 + 304000*m\/9 + 89516\/3 = 0. What is m?\nAnswer: -7, -1, 138, 278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 532 (base 7) to base 15\nAnswer: 12d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19 and 117686.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/21 in 0.11, 0.29, -0.36, -0.4, 8\/21?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - y + 5*y = -15, i + 4*y = 3. Solve 4 = -i*t + t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 31143440?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-3)\/3)*-2. Let s be 6\/2 - (-4 + 3). Let t be s - 0\/(3 + 0). What is the second smallest value in v, t, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 37656, 150783, 339406, 603531, 943164, 1358311, 1848978?\n\"Answer: t**3 + 37742*t**2 - 106*t + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 31488.\nAnswer: 3\/10496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -119a93 (base 12) to base 7\nAnswer: -2302530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2\/3, 4, 3.\nAnswer: -2\/3, -0.3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*l - 29 = 0, 0*l - 8 = 3*d - l. Suppose -4*z + 45 = 17. List the prime factors of ((-48)\/28)\/(d\/z).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 69712, 140159, 210606, 281053, 351500?\n\"Answer: 70447*z - 735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 17 = 4*r - 5*z, -3*r - z = -4. What is the third derivative of 3*f**3 + 12*f**3 + 5*f**r + 26*f**2 wrt f?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 232614.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114434035.\nAnswer: 5, 823, 27809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 equal to 42965?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -912, -1859, -2806, -3753, -4700?\n\"Answer: -947*v + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(26)\/(sqrt(2)*2*1) - (sqrt(156) - -4*1*sqrt(156))\/sqrt(12)) + -4)*2 + -5.\nAnswer: -9*sqrt(13) - 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4111.\nAnswer: 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 5, -2, -25, -9, 1.\nAnswer: -27, -25, -9, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 a factor of 209993?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 12 - 21*l - l**3 - 12*l**2 + 9*l - 19 - 12. Determine o(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-6)\/c**(-3\/5))**(-6\/11))**(-29) assuming c is positive.\nAnswer: c**(-4698\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1962730 to the power of 1\/2, to the nearest integer?\nAnswer: 1401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 8*t - 1572. What is the tens digit of t - -13 - (2 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 702 - 701. Put -1, -0.39, v, -5 in decreasing order.\nAnswer: v, -0.39, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/13, -4\/11, 1\/5, -99, -32?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p\/p**11)\/p*p))\/p*p**11 assuming p is positive.\nAnswer: p**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -64020 times 164?\nAnswer: -10499280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 326, 328, 330?\nAnswer: 332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -759880551 less than -356?\nAnswer: 759880195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285210 is divided by 452.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14347600.\nAnswer: 2, 5, 35869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1723 - 36*j**2 + 20*j**2 - 1720 - 308*j + 3443 + 308*j.\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1505882775?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -78*r - 3456. Calculate h(-44).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + h + 0*h = -25, -h = -5. Suppose 4*f - 2*f = d. Suppose 0*q + 4*q = 8, -n = -f*q + 116. What is n rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*x**2 - 27*x**2 - 10 + 72*x**2 + 10 - 27*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 5*u = -4*g - 29, 20 = -4*u. Suppose -g*x = 2*a - 1036, 2*a + 1042 = 4*a - x. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -27*p**5\/4 - 143586*p**4 + 861696*p**3 - 1340476*p**2 + 808556*p - 170224 = 0.\nAnswer: -21278, 2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/49))**49\/(h*h**(9\/7)*h**(-23\/2)) assuming h is positive.\nAnswer: h**(157\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.142 rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.66 or -465.4?\nAnswer: -465.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 155006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 0*k**2 - 5*k - 7*k + 6*k**2 - 7*k**2 - k - 30 = 0.\nAnswer: -10, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 7*g**2 - 7*g + 5. Let x be a(5). What is the second derivative of 6*b - 25*b**3 + 20*b**2 + 2*b**3 - x*b**2 wrt b?\nAnswer: -138*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3485 divided by -85\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -65334 - 44.4.\nAnswer: -65378.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45 - 19 - 7*h - 8 - 16 - 12 to m + n*h and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + u**2 + 0*u**2 - 3*u**2.\nAnswer: -2*u**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27485 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 11*h - 24. Let f be p(7). Which is the third smallest value? (a) 0.6 (b) f (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*r = 1. Let p(w) = -4*w**3. Let y(h) be the third derivative of h**6\/120 - 576*h**2. Calculate r*p(a) + 8*y(a).\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3318297910 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 p when three letters picked without replacement from {p: 6, l: 13}?\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8139070 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-60)\/(-140) - 3*3\/21. Let s(h) be the second derivative of 0*h**4 - 15*h + 0*h**2 - h**3 - 1\/10*h**5 + w. Find the second derivative of s(p) wrt p.\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 11075.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 44*b - 5. Let r be f(1). Suppose 0 = 41*y - r*y - 2. Suppose -4*l = 3 + 17. Sort -4, l, y in decreasing order.\nAnswer: y, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k + 5 - 105*k**2 + k**3 + 118*k**2 + 6 + 4*k. What is the hundreds digit of b(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 31.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -10*t - 3. Let k(h) = -h - 1. Calculate -6*k(d) + 2*o(d).\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 44070.\nAnswer: 1\/8814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cdc. What is prob of sequence cd?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i + 3. Let f(k) = 10*k**2 + 6*k**2 - 15*k**2. Give g(f(r)).\nAnswer: 2*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -8, 3*i = 3*p - 2 + 14 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1095475908202 + -38.\nAnswer: -1095475908240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, k: 3, g: 3}. Give prob of picking 2 p.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*a**2*l**2 - 89*a**2*l - 14*a*l**2 + 1177*l**2 - 6*l wrt a?\nAnswer: -10*a*l**2 - 178*a*l - 14*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-49)\/(-2646))\/((-14)\/(-189)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2 + 2 - 8*x**2 - x**3 - 14*x**2. Let d be m(-20). Solve -7 = 4*a + d*z + 15, a - 2*z - 2 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 7:20 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1893 - 0.214. Let w = -25.9247 - j. What is w rounded to the nearest integer?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*l - 9*l**5 + 6*l**5 + 34*l**4 + l**5 wrt l?\nAnswer: -40*l**3 + 408*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -o - 5. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + (-4 - -905) + -2. Suppose x = 10*m - 1654. Let h(y) = -2*y**3 + 2*y + 3. Let g be h(-2). What is the highest common divisor of g and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2506, -2505, -2504, -2503?\n\"Answer: a - 2507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/665877 and 29\/11547.\nAnswer: 1997631","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 6:18 PM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-160 + 165)\/(((-160)\/(-84))\/8).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0167133624 rounded to five dps?\nAnswer: -0.01671","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**3 - m**2 + m + 1. Let w(k) = -4*k + 62. Let z be w(20). Let t(c) = -c**2 - 20*c - 37. Let d be t(z). Give b(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 10*o**2 + 30*o + 25. Let r(b) = -5*b**2 - 15*b - 12. Let z(c) = -5*r(c) - 2*x(c). Find k, given that z(k) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1)\/k)**(-1\/18)\/(k**(-11)*k*k\/(k**(4\/9)\/k)) assuming k is positive.\nAnswer: k**(77\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 140334 + 20505?\nAnswer: 201243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 12:48 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 16 = -5*o - 4*g, 4 = -o + 3*g. Let r = -37 + 37.1. Suppose 0 = 3*q - 4*f + 15, -f = -4*q + q - 15. Which is the nearest to r? (a) q (b) 4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -w + 45. Suppose 0*s = -s + w. Solve 12 = -d - 3*l, 4*l = l - s for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 6*c**3 - 16*c**2 - 27*c + 46. List the prime factors of h(10).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -224 - -1789\/8. Suppose 0 = t - 1. Which is the nearest to 1\/5? (a) 3 (b) u (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 + l**2 + 0*l**2)*(-14 + 6 + 8 + 96*l**2).\nAnswer: 96*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(112)\/sqrt(4)*-5 + (sqrt(700)*2)**2.\nAnswer: -10*sqrt(7) + 2795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3)\/((-168)\/(-108)*(-3)\/6).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/c**(-4)))\/c**(-7)*(c\/(c\/c**(-1)))**(-1\/15))**(2\/25) assuming c is positive.\nAnswer: c**(92\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -307131, -614262, -921393, -1228524?\nAnswer: -1535655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 26*g**2 + 304*g - 444. Give u(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -5*j + 413, -412 = -5*j - 2*x + 4*x. Suppose -92*r + 370 = -j*r. Round r to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**2 + 2267*f**3 - 2266*f**3 - f**2.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, g: 2, w: 4, h: 8}. Give prob of sequence ggq.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n**2 + 76*n + 146. Let j be r(27). What is the highest common factor of 43373 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = f + 2*f - 77, 4*c - 54 = -f. Let p = -16 + f. Is -3 + 5 + (p - 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of h**4\/4 - 5*h**3\/3 + 400. Factor k(z).\nAnswer: z**2*(z - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a gram in milligrams?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(20) + 1*sqrt(20))\/sqrt(4) + sqrt(960)\/sqrt(12))*4)**2 + ((sqrt(400)\/sqrt(5) - (1 + sqrt(125))) + -1)**2.\nAnswer: 4*sqrt(5) + 2889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -22263.108 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002.852 take away -0.3?\nAnswer: 1003.152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 57 + -42. What is the hundreds digit of (-308)\/(-33)*j\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000147 rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, q: 2}. What is prob of picking 2 b?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 6. Let f be (0\/((-1)\/(-1)))\/(-2). Let a be -1*(0 - (f + 5)). Solve -m = -4*n - a*s, 2*s + 1 = -5*n + 17 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2\/4 + 51*q\/2 - 14685\/4.\nAnswer: 3*(q - 55)*(q + 89)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 2*r + 4)*(-19*r - 17*r + 3*r**3 - 2*r**3) in the form o + n*r + j*r**3 + w*r**2 + b*r**4 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**3 + o - 18. Determine d(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, c: 4, a: 2, d: 2, s: 3, f: 1}. What is prob of sequence ppfa?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 - 1)*(0 + 2*m + 0) + 2*m - 2*m - 7*m - 39*m - 8 + 17 + 38*m)*(-4*m**2 + 8*m - 8*m).\nAnswer: 56*m**3 - 36*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 10) + -15 + (-1 - -2) + 12 + -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/4)*s**(-1)\/s*(s\/(s**(-2\/11)*s))**3 assuming s is positive.\nAnswer: s**(-53\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21429389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-30)*300\/(-20)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -2*o - o + 3*m, 4*o + 4*m = 4. Find the third derivative of -10*s**3 - 12*s**2 + 3*s**2 - 6*s**2 + o*s**3 wrt s.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -242.55 to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m. Let q be p(-2). Suppose q*y = -5*s + 22, y = -5*s + 5*y - 2. Find w such that 8*w**3 - w**5 - 5*w**5 - 4*w + s*w**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f. Let x(b) = -b**2 - 3*b + 1 + 3*b - b. Let g be (3 - (-15)\/(-3))\/1. Let a(y) = -6*y**2 - 2*y + 2. Let h(r) = g*x(r) + a(r). Give h(t(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 3:48 PM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*o - 6 + 2 + 4*o**3 + 3 + 0*o**2 + o**2 + 2 to the form v*o + p*o**3 + f*o**2 + m and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + c. Let m(p) = -39*p - 272. Let x be m(-7). Let d(y) = -65*y**2 + 78*y. Calculate x*d(k) - 78*n(k).\nAnswer: 13*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**2 - 24*a + 12. Determine r(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1322.006007 rounded to one decimal place?\nAnswer: 1322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.4 - -6. Let o(w) = -w**2 + 15*w - 50. Let v be o(6). Suppose 2*m - 24 = 4*n, 2*m + n - v = -0*m. Which is the nearest to 1\/3? (a) m (b) -0.5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w + 7. Let i be t(5). Suppose -10 = -2*h - 4*f, -i = h - 3*f - 2*f. Suppose -5 = -o + h. Calculate the least common multiple of o and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 4*s + 4 = 0, 5*c - 6 = -2*s - 32 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22021, -21645, -21007, -20101, -18921?\nAnswer: -17461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29 - -59 - 14) + (11 - 33).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 g when four letters picked without replacement from {p: 5, g: 15}?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) -0.27 (c) -0.1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 14, y: 1}. Give prob of picking 3 r.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 7 = 2*m + 2*m, 5*m - 3*f - 7 = 0. Is (-160)\/(-4) - (-1 + m) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*x**6 + 5*x**5 - x**2 - 8*x?\nAnswer: -2520*x**3 + 300*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 4 + 2)*(4 - 4 - k) + (-1 - 2*k + 1)*(40 - 20 + 48))*(-2 + 0 + 0).\nAnswer: 270*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 567957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*(s\/(s*s*s**(-1\/17)))\/s*s**(1\/32) assuming s is positive.\nAnswer: s**(-495\/544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) - (sqrt(891) - (sqrt(891) + -2*sqrt(891))*-2))**2 + -1 + (3 + 1 + sqrt(891) - (sqrt(891) + -5*(-1 + sqrt(891) - sqrt(891)))).\nAnswer: 3562","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -56 + -653 + 689 - (91 - 0)?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/228 and -103\/371220?\nAnswer: 7053180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -21.958. Let j = -3.042 + x. Let d be (-1 - 1)\/(3 + (3 - 3)). What is the nearest to d in -6\/11, 1, j?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 22586138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-17)*m\/(m*m**(-3\/13)\/m))**(-21\/2) assuming m is positive.\nAnswer: m**(4305\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*m = -695*m - 911*m + 175878 - 20778 for m.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*n + 2380927 - 624167, 5*j = 3*n - 2635141. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10184\/553 not equal to 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 145 (b) -0.03 (c) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.3, -0.662, 73 in descending order.\nAnswer: 73, 5, 0.3, -0.662","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 10 (b) -774 (c) -3\/5 (d) -226.9 (e) -2 (f) -2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -329653 at least as big as -329653?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 590688 + 533412 = 18*z. Suppose 7*h = -1963 + z. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 247427?\nAnswer: -98970.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**4\/15 - 82*l**3\/15 - 52*l**2\/3 - 176*l\/15 = 0.\nAnswer: -2, -1, 0, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3 - 2 - 123*h**3 + 125*h**3. Let j(b) = -5*b**3 + 4*b**2 - 13. Let x(u) = -6*g(u) - j(u). Find the first derivative of x(f) wrt f.\nAnswer: -21*f**2 - 8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s + 21*s + 0*s to i + x*s and give x.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 7 = 9. Let s be (-24)\/u*(0 - -14). Let k be 70\/6 - 28\/s. Solve 0 = -5*f + 28 - k for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5939 - 0.543876. Let k = 0.05 - g. Round k to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (65\/(-13))\/(2\/2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4354\/28 - (-2)\/(-12)*15.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*g - 16*g - 92 = -18*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-3))\/(b\/(b\/(b*b\/b**(-4\/3))*b)))\/(b**6\/(b**(-6)\/b*b)) assuming b is positive.\nAnswer: b**(-31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 6*x**2 - 8*x + 10. Let p be q(7). Is 7986\/9 - p\/9 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/((v**11*v)\/v))\/v*v)\/v)**10 assuming v is positive.\nAnswer: v**(-110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a day in seconds?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zpzz when four letters picked without replacement from {p: 14, z: 5}.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12 - -712?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 200 divided by 2\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -165201054 (base 7) to base 14.\nAnswer: -170c564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 5*i - 14. Give k(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.4009 less than -322?\nAnswer: -314.5991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 614482 to the nearest integer?\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 46 - 41 = -3*o, 0 = -3*o - 4*k + 73. Suppose -2*g = -23 - o. Let l = g - -104. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + -2)\/(19 + -29). Solve 3*z + 4*c - 19 + 7 = q, 9 = -z + 3*c for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y - 4. Let b = 124 - 127. Let r be a(b). Sort 0.4, -1\/2, r in increasing order.\nAnswer: r, -1\/2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53166\/161 or 331?\nAnswer: 53166\/161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 177327 (base 12) to base 5.\nAnswer: 101002133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/(-6))\/((-21)\/(-28)). Differentiate 31 + 2*j**4 + 11*j**3 - 616*j**o + 616*j**2 with respect to j.\nAnswer: 8*j**3 + 33*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + -2*1\/2. Suppose -2 = 4*w - 10. Suppose -2*v + 25 = -5*t, -v + w*v - t = 8. What is the third biggest value in v, 1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -452 + 476. Let i be 99\/b + (-1)\/8. What is the third biggest value in 5\/6, -2\/251, -0.5, i?\nAnswer: -2\/251","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1079, -1070, -1075, -1094, -1127?\nAnswer: -1174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 7. Suppose -2*i + 8 = 0, -5*i - 6 + 22 = -2*f. What is the nearest to f in c, 3\/5, -2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.7 + -0.3. Let y = -0.9 + l. Which is the closest to 1? (a) -3\/8 (b) y (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*g**3*i**3 + 3*g**3 - 5*g**2*i**3 - 65*g + 2*i**3 wrt g.\nAnswer: 84*g*i**3 + 18*g - 10*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 18432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(18\/5)\/g)\/(g*g\/g**(-12)*g))\/(g**2*(g\/g**35)\/g) assuming g is positive.\nAnswer: g**(108\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-20592)\/144)\/(-6 - -7 - (-451)\/(-450)). Round d to the nearest one thousand.\nAnswer: 64000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 168918 to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/(-18)*3)\/(8\/2)\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9004 + 9144 = -4*p + 2*b, -3*p - 13*b - 163 = 0 for p.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4*i**2. Let b(s) = 3*s**2 + 2*s + 2. Let d(c) = -c**2 - c - 1. Let x(q) = b(q) + 2*d(q). What is v(x(m))?\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2267, 4401, 7955, 12929, 19323, 27137?\n\"Answer: 710*c**2 + 4*c + 1553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15024490.\nAnswer: 2, 5, 13, 47, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-358)\/6 - (5 + (-34)\/6). Let g = v + 59. Solve g*o - 5*o = -25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 9 - 0. Let c(o) = -o**2 + 8*o + 1. Let d be c(7). Let f(x) = 4*x + 1. Calculate the remainder when f(d) is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -5 + 10. Let d(c) be the first derivative of -c**3\/3 + 7*c**2\/2 - 7*c - 1. Let b be d(y). Solve 5*l = -4*m - b - 7, -l - 5*m = 23 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 113 or 73681\/657?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -92 and 6628.81204?\nAnswer: 6720.81204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 1340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 9*z**2 + 8*z + 6. Let c be v(9). Let u be 416\/c*1*3\/(-11). Which is bigger: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8366 is divided by 135?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 8*t - 8. Let o be a(7). Are -7\/3 and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 11222012011?\nAnswer: 11222012002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 29*d**2 - 29*d - 10. Calculate u(-28).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 637*k**2 - 1381*k**2 - 290*k**2.\nAnswer: -1034*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 3:25 PM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*f + 12 - 20 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001 - 1?\nAnswer: 101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5232 = 921*a + 3978 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 7*s**2 - 24*s + 71. Let w be c(10). What is the second derivative of -57*x + w*x**5 + 1618*x**4 - 1618*x**4 - 87*x**5 + 86*x**5 wrt x?\nAnswer: 2600*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from eggqgqgggqqegggg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((1 + sqrt(80))*-6*1 + -5 + 4 + 1 + 2))**2.\nAnswer: 3072*sqrt(5) + 46336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13976*a**3 + 9*a**2 - 13968*a**3 - 1 - 9*a + 26*a**2 + 5*a**4 wrt a.\nAnswer: 120*a + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3*sqrt(143)*-6 + -3*sqrt(143)*-6)\/(sqrt(176) - sqrt(44) - (sqrt(11)*3 - sqrt(11))*-1).\nAnswer: 54*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tet when three letters picked without replacement from {e: 1, h: 1, t: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 8*t - 105 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/24 - (-1414)\/6. Suppose 3*x - 141 = -j, j = 5*x + 6*j - i. Let p(t) = 21*t + 22*t - x*t. Let g(m) = m**2. What is p(g(d))?\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2426 + -2426. Let v(s) be the first derivative of 5 + h*s**2 + 0*s + 15\/4*s**4 + 14\/3*s**3. Find the third derivative of v(i) wrt i.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7 + (-8)\/(-3)*(-24)\/16. What is the derivative of -9*p**3 + 0 - 8*p**3 + 14 - p**l wrt p?\nAnswer: -54*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 3:32 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 12:25 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/2*(3 - (7 - 4)). Solve l + g*l + 1 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216) + sqrt(1216) + sqrt(1216) + sqrt(1216) + 5 - sqrt(1216)) + -2)*5 + -4 + 6*(2*sqrt(1216) + 2 + (2 + sqrt(1216)*-2)**2).\nAnswer: -168*sqrt(19) + 29231","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -1 + 1 + 1. Let a(k) = 10 + k + 5 + 0 - 1. Let q(s) = -a(s) + 2*t(s). Give q(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -93\/20*q**5 + q**2 - 1\/42*q**7 + 5*q + 7\/3*q**4 + 0*q**3 + 0*q**6 + 3. What is the third derivative of a(w) wrt w?\nAnswer: -60*w**2 - 558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 d when four letters picked without replacement from {d: 2, z: 1, u: 11}.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k = 14*k - 1758. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c. Suppose -4*v - 3 = -11. Let j(m) be the second derivative of 0*m**2 - 1\/3*m**3 + 0 - v*m. Give p(j(y)).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -104362 at least as big as -208721\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**4 - 428*u**3 + 6298*u**2 + 78800*u = 0.\nAnswer: -8, 0, 25, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4059 + 8573 - 4305)*(0 + 0 - 2*c**2) in the form w*c + y*c**2 + n and give y.\nAnswer: -418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -27437\/3, -36 in descending order.\nAnswer: 4, -36, -27437\/3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 66171\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/4*6\/(-9). Let k(b) = 389*b**2 + 2*b - 1. What is the units digit of k(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 5624*r. Let b(q) = -2*q**2. Determine b(z(y)).\nAnswer: -63258752*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 489186?\nAnswer: 2, 3, 9059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -21*u - 5. Let a be c(2). What is the remainder when 1 - (a + (1 - -1)) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {p: 1, y: 2, o: 3, r: 6}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 9:54 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*(3 + 15\/(-6)). Suppose 4 = z - t. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and 28933?\nAnswer: 28932.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -5, -1, 2, 1213 in decreasing order.\nAnswer: 1213, 4, 2, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*4*(2*sqrt(171)*-2)\/(2*(sqrt(9) + sqrt(18)\/sqrt(2) + sqrt(9))).\nAnswer: -32*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11665, 9090, 4799, -1208?\nAnswer: -8931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(3\/5))**(-2\/13) assuming r is positive.\nAnswer: r**(-16\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7.5 and 3.\nAnswer: 22.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) -0.08 (c) -3\/8 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 0*m**2 - 2*m - 1\/2*m**3 + 0. Let o(v) = v. What is o(w(n))?\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 1:35 AM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-9) - (-7)\/9. Suppose 4*w = -3 - 5. Let k(v) = v**3 + v**2 - v. Let r(i) = -23*i**3 - 3*i**2 + 14*i - 4. Let c(h) = o*r(h) + w*k(h). Factor c(x).\nAnswer: -(x + 1)*(5*x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56 - 45 - 62)*(2*a - 5*a - 4*a)*(-2*a - 143 - 2*a**2 + 145 + 4*a).\nAnswer: -714*a**3 + 714*a**2 + 714*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5105000?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23490 and 516?\nAnswer: 2020140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -1\/2*k**2 - 5\/12*k**4 - 10*k - 1\/6*k**3 + 0. Let o be l(-1). Put -4, o, -3 in increasing order.\nAnswer: o, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1175580 by -60.\nAnswer: -19593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + (-4)\/2 - -14. Suppose 8*d = l*d - 10. Solve -3*g - d*g = -25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/(-1 + -3 - -6). Let z(r) = -r**3 - 2. Let o be z(0). Let m(j) = -25*j. Let x be m(o). What is the greatest common factor of p and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-738)\/45)\/(2 - 14\/10). Let n = d + 419\/15. What is the nearest to n in 5, -1\/10, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3355191.\nAnswer: 3, 7, 19, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13002)\/(-99) + (-7446)\/(-1314).\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(2\/5)\/a)**(-22)\/(a**(2\/7)\/(((a**(-7\/3)*a)\/a)\/a)) assuming a is positive.\nAnswer: a**(-1304\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 19 = 5*v - 56, -5*p - 10 = 4*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*o = 75*o - 307464. Suppose 0 = 14*f + 32*f - o. What are the prime factors of f?\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1943187*r**3 - 52*r**2 + 147909669.\nAnswer: -5829561*r**2 - 104*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 7*j - 6. Let p = -36 - -41. Suppose m = 2*m + p*k + 21, m + 15 = -3*k. Determine q(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/189*6 + (-16)\/(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0011138082 rounded to six dps?\nAnswer: 0.001114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 12 = x. Let g(l) be the third derivative of -l**5\/60 - l**4\/6 + 2*l**3\/3 - l**2. What is the units digit of g(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) -1.4 (c) 3\/5 (d) 3 (e) -30065 (f) 5 (g) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -56*r**2 - 9*r - 13. Let k be f(-4). List the prime factors of -11 + k\/(-81) - (-5312)\/9.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1215, -141, -1505, -2877, -4257?\nAnswer: -5645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p**5\/4 - 9321*p**4\/4 + 21622131*p**3\/4 + 457510005*p**2\/4 + 393737274*p - 2356370028 = 0. Calculate p.\nAnswer: -12, 3, 4671","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -283689 and 2?\nAnswer: -567378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-10))\/((-275)\/2530)*-10?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*f - 2*f. Suppose u - 18 + f = 0. Let l = u - 6. Solve 5*q = l*j + 5, -2*q + 3*q + 2*j = -14 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 907 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**3 + 9*f**2 + f + 4. Let a be s(5). Is 7 a factor of 10*(-14)\/a*4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}