diff --git "a/data/dm_maths/full_data/11131_11255.jsonl" "b/data/dm_maths/full_data/11131_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/11131_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let t(f) = 7*f + 215111*f**2 - 8*f + 14 - 4. Let d be t(-15). What is d rounded to the nearest one million?\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 18*g + 28. Give p(-5).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -428*a**2 - 425*a**2 - 2*a**4 + 2*a**3 - 7*a - 3 + 856*a**2 to the form w + n*a**3 + r*a**2 + v*a**4 + k*a and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 1, -0.30523496 in decreasing order.\nAnswer: 1, -0.3, -0.30523496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 33*h - 202. What is q(-24)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/2 of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2571135 and 12549?\nAnswer: 228831015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (96\/(-40))\/(-4) - (-714)\/10. What is the greatest common divisor of d and 600?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -418 - 593 + 3*c + 190 + 277 - 509 to the form n + h*c and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**3*c**3 - 1613*b**3*c**2 - 829*b**3*c + b*c - 3*c**3 + 1 wrt c.\nAnswer: 6*b**3*c - 3226*b**3 - 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2480 and (-84)\/(-112) - 1\/10*6340\/(-8)?\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p - 7*f - 3, 203*p + 13 = 201*p - f for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 1\/2*n**2 + 1\/2*n = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000100 - -100100111001?\nAnswer: 100011110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-2)*(-65)\/(-1950)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(30\/(-6) - -2).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 11 + 1. Suppose -2*j - 4 = -2*y - j, 5*y + 5*j - l = 0. Suppose -d + y = -15. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-48*p - 56 - 46 + 107)*(-3 + 2 + 0)*(-1 + 0 + 3) to the form d*p + k and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10525380 by -619140.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 180480 to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7864950 by 15.\nAnswer: -524330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1054.7 (b) 3\/2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-132))\/(325\/(-110) + 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -8180 divided by -807\nAnswer: 8180\/807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -103\/5 + 20. Which is the nearest to 1? (a) -0.1 (b) j (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 509, 4048, 13649, 32342, 63157, 109124?\n\"Answer: 505*r**3 + r**2 + r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23 - -16?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 296464 times 1.4\nAnswer: 415049.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-76)\/114)\/(1\/((-9)\/(-2)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000111 + 100111001101010111?\nAnswer: 100111001011010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((1 + sqrt(252))*4)**2 + 3 + 0 + sqrt(847) + sqrt(847).\nAnswer: 214*sqrt(7) + 4048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ktkkrkgkx. Give prob of picking 1 r and 1 x.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 43778905 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 183697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/5)*a)\/a*a**(1\/4)*(((a**(-1\/11)*a)\/a)\/a)\/a**(-8) assuming a is positive.\nAnswer: a**(1707\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1152518608 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 2241.\nAnswer: 8964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 a when three letters picked without replacement from bbbbbababbb.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 971 and 2710061.\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-13)\/(-39))\/((-2)\/(-1356)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 23*y**2 - y - 22. Let q be u(-23). Let r be (-37)\/(-37) + q + 2. Solve -4*o = -r*j, 5*j + 3*o - 14 - 26 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2006 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17050 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00010140036 rounded to 7 dps?\nAnswer: -0.0001014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = t - 3*q - 2, -t + 5*q = 1. Suppose 2*r - 5*y = r + 28, -3*r + t = -2*y. Sort r, 3\/8, -1 in descending order.\nAnswer: r, 3\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 k, and 1 c when three letters picked without replacement from yhyikyyikkch?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*m + 46*m + m**2 - 1 + 12*m**2 to j*m**2 + o*m + t and give j.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15754 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 17, 21.\nAnswer: 1, 3, 17, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24432*c + 5 + 4*c**3 + c**2 - 24432*c + 0*c**2 to a*c**3 + g*c**2 + o + h*c and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 k when three letters picked without replacement from {t: 2, f: 4, k: 4, v: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - -4 - 1) + -2. Let a(y) = y**3 - 2*y**2 + y + 1. Let u be a(i). Let x be 14\/63 + (-2 - 1936\/(-36)). What is the highest common factor of u and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -24 - 48. Let g = t - -29. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5662728 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p**2 + 8*p - 4. Calculate l(4).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h*h\/(h*h*h**(-1\/2)*h))*h**(-10))\/(h\/h**(-3\/2)*h*h**(-10)*h) assuming h is positive.\nAnswer: h**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12923476 and 3052?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2079951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60 - 101. Let v = -27 - m. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/4)\/(5\/50). Suppose -v*x = -13 - 7. Suppose 4*n + 3 = 3*f - 0*n, -x*f = 4*n - 32. Solve f*l - 5*t + 11 = 2*l, 6 = -2*l + 2*t for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/(-8) + (-5)\/20. Which is smaller: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -5323162.\nAnswer: 3\/2661581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3501?\nAnswer: 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.615 + 8.615. Which is the smallest value? (a) 2 (b) 687 (c) s (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 368438459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -70 or -66?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41 - 45. Let w(n) be the first derivative of -1\/3*n**3 + 2 + 3*n + 0*n**2. What is w(t)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/9, 0, 1, 0.6, -0.04952, -0.1, -1?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7 - (-4 + 3))\/2. Let c be (-1)\/(4\/(-724)) - k. Suppose -3*g = -7*g + c. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 w when two letters picked without replacement from eiwonile?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16280)\/(-629) + (-2)\/(-17). Suppose 0 = -j*i + 25992 - 44. What are the prime factors of i?\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q - 12. Let h = 43 + -37. Calculate f(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.449 + 6.349. Which is the nearest to w? (a) 0.3 (b) 0.18 (c) 4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9896.921ml?\nAnswer: 9.896921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -1\/5, -4, 19, -0.3 in increasing order.\nAnswer: -4, -0.4, -0.3, -1\/5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.06 (b) -41 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 6 + 2 = -4*w, -2*c + w = -6. List the prime factors of (332\/c)\/(2\/4).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140275 is divided by 168.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 10 + 2)*(505 + 339*v**2 - 505).\nAnswer: 7119*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 554591181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8154 is divided by 8147.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**4 - m**3. Let a(f) = 9*f**3 - 12*f**4 - 10*f**3 - f**3 - 14*f**2. Let s(q) = -a(q) + 2*l(q). Find the third derivative of s(g) wrt g.\nAnswer: 240*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-44 - -140 - (-4 + 3 + -4 + -8))\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 2*p + 4. Let x be (-4*(-9)\/84)\/(0 + -1). Let w = -52\/105 - x. Do p and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 s when two letters picked without replacement from klllmsapppsl.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, -2, -1\/4, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-18*(-70)\/2880)\/(8\/128)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4022 - 2305. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(76\/16 + -4) - 3. Let n(t) = 244*t - 10. Is 18 a factor of n(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23614184?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*o + 14 = -73 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1208945 and 4300.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-3) - 40\/12. Is (-10269)\/(-81) + d\/(-18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*b - b. What is the second smallest value in 8, b, -1\/6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -16) + (-986 - -942)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37351536.\nAnswer: 2, 3, 29, 26833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2808, -1\/330, 1\/3.\nAnswer: -2808, -1\/330, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 34 - 40. Suppose -2*o - u = -104, -2*o - g*o - u = -210. Is 15 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 535965784.\nAnswer: 2, 66995723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36 - (15 - 31)) + 43 - 72.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -70*g**3*z**2 + g**3*z - 55*g**2*z**2 + 16*g**2 + 116*g*z**2 - 22*g + 105*z + 2 wrt z.\nAnswer: -140*g**3 - 110*g**2 + 232*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millimeter in micrometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/3)\/(8\/(-84)). Let v = 106 + -59. Suppose -3*u + v = j. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 91 - 17*b + 22*b - 2*b + 0 + 0 - 2*b - b + 4*b - 4*b + (4 - 1 - 2)*(2*b - b - 2*b) to the form h + c*b and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 5*o + 6*j + 12, 2*o = -5*j + 38. Calculate the remainder when 1023 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (2 + 4 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*b**5 + b**3 - 360*b wrt b?\nAnswer: 80*b**3 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -11101101111011111111 (base 2) to base 14\nAnswer: -1b5259","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, u: 1, y: 4, o: 1}. What is prob of picking 1 u, 2 v, and 1 o?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/27069528 and 67\/7123560.\nAnswer: 135347640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 5*q - 6. Let n be o(-7). Let x = n - -3. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 5*o**2 + 6*o. What is the remainder when u(3) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + 23.21. Let q = -1.61 + y. Sort -1, q, 3\/4 in decreasing order.\nAnswer: 3\/4, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*p + 2*p**2 + 25*p + p**3 - 2*p - 55 to l + i*p**3 + r*p**2 + y*p and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v - 108615*l = -108618*l - 171, 4*v - 4*l = 228 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 258.4814 - 210.465. Let c = h + -48. Let b = c + -0.023. Round b to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, -38, -98, -158, -218, -278?\nAnswer: -338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f + 0*f + 4*f + 5*f - 3*f - f + (-2 + 4 + 0)*(4*f - 2*f + f) to the form x + b*f and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24\/15 - 4\/(-10). Factor -6*o**n + 6*o - 185*o**3 + 176*o**3 + 4*o**2 - 6*o**4 + 11*o**2.\nAnswer: -3*o*(o - 1)*(o + 2)*(2*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 8*n - 6. Suppose n*c - 5*w = 59, -53 + 3 = -2*c + 2*w. Suppose -3*h + 9 = d, 3*d - 4*h = 11 + 29. What is the remainder when c is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 14155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(-18) + (-14)\/(-4). Which is the closest to 2? (a) 3\/4 (b) -0.3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1118765, -2\/13, -5 in descending order.\nAnswer: -2\/13, -5, -1118765","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 5*g - 5, 3*z + 2*g + 13 = 4*z. Suppose -9*s + 77 = 2*s. Suppose 0 = 6*t - s*t - 3*t. Solve 0 = -t*n - n - z for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.9 less than -0.3077425?\nAnswer: -4.2077425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of 2*y**3\/3 - y**2\/2 + 894*y. Let r(q) = -4*q**2. Determine r(j(p)).\nAnswer: -64*p**2 + 32*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -115589967*a - 93667857.\nAnswer: -115589967","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2812 less than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 6:50 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/10 and -82\/2434575?\nAnswer: 4869150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 13*p**2 - 12*p + 5. Let q be h(-12). Solve 1 = 3*g + q*s - 1, -4*g = -s - 18 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3566526551?\nAnswer: 7, 3167, 160879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 134936\/7 - 19277. Let l = 0.037 - 27.037. What is the fourth smallest value in -0.2, h, 2, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55 + -38. Calculate the remainder when (-304)\/(-6) + (-2)\/3 is divided by i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sn when two letters picked without replacement from mnmlnmnmnnmlmsmmmnn.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 8:48 AM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -145*j + 360. Let k be f(3). Let n be (-441)\/(-6)*2*1. Let p = k + n. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*l = -4*v + 20, 5*l = 2*v + 11. Suppose -6175 = -337*z - 446. What is the highest common factor of z and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4d15 + -8?\nAnswer: -4d1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.03 - -12. Let m = 48 - 48.5. Sort x, m, 0.2 in descending order.\nAnswer: 0.2, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 9:36 PM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 816.0000861 + -816. What is z rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 97*s + 6 - 4 - 7 + 9 to the form c + j*s and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*k**2 - 50*k**2 + 13*k**2 + 21*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7519 - 3768 + 2*z**3 - 6*z**3 - 3751.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21246.\nAnswer: 2, 3, 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*n + 42 = 48, n = 2*t - 2. Suppose -1 = 2*u - 13. Suppose -u*d + 182 + 358 = t. What is the highest common divisor of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 32 = -5*t + 23, 20 = 2*t + 2*k. What is the lowest common multiple of t and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -143 - -4?\nAnswer: -13a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -279*d**8\/28 + d**7\/42 - d**5\/10 + 203*d**4\/3 - 7*d + 2. Find the third derivative of n(h) wrt h.\nAnswer: -66960*h**3 + 60*h**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**3 - 7*m**2 + 98*m + 11. Let r be f(14). Which is smaller: -5478 or r?\nAnswer: -5478","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 23*t + 92 = 0. Which is bigger: t or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 + -0.7. Let w = v - 0.1. Is -1 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -632 + 634. Suppose -4*f + 4*l + 95470108 = -4129872, 0 = h*f + 5*l - 49800025. Round f to the nearest one million.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4667\/444320 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113 + 13?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 174945 and 33.2.\nAnswer: 5808174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 85396 (base 11) to base 14\nAnswer: 333d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 14, 2, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/(-4 - 15\/(-5)). Solve 0 = -5*o - 11 - j for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -304 + 310. Which is the closest to 2? (a) p (b) 0 (c) 1\/66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/35 + 43472\/6160.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 25 = 3*h, 7*m - 2*m + 5*h + 105 = 0. Let u be 6\/(-10) - (-1)\/(5\/m). Put -3\/5, 0.63, u, 0.2 in decreasing order.\nAnswer: 0.63, 0.2, -3\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 14 = 3*n - 69, -5*n + 65 = -3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8854, 8977, 9158, 9391, 9670, 9989, 10342?\n\"Answer: -n**3 + 35*n**2 + 25*n + 8795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1368 and 50768?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2641, 5, -11, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -3508.46.\nAnswer: -3509.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -95 + 95. Let g be 408\/(-136)*(-2)\/(-50). Is g < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5516*k + 5516*k + 54*k**2)*(4 + 0 + 2) as c*k**2 + p + m*k and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3032*q**2*t**2 - 162*q**2 + 6*q*t**2 + 15*q*t wrt t.\nAnswer: 6064*q**2 + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221*q - 190*q = -217. Let u(z) = -96*z + 4. Let y(f) = 32*f - 1. What is q*y(g) - 2*u(g)?\nAnswer: -32*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -446 less than or equal to -423?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.023553651 rounded to five decimal places?\nAnswer: -0.02355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 828848597?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2200 and 16000?\nAnswer: 176000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w**3 - 2*w**3 - 3*w**5 + w - 4*w = 0 for w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*z**3 + z**2 - 5215*z + 5215*z as m*z + h + k*z**3 + x*z**2 and give k.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 10*o**2 - 8*o - 7. What are the prime factors of v(6)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 303399\/4 - 75831. Find l such that -9 - 39\/4*l**2 + 3\/4*l**4 + 3\/4*l**3 - a*l = 0.\nAnswer: -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -41*v - 223. Give a(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-7)*(-1)\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*n + 8*n + 7*n**2 + 11*n as o*n + w*n**2 + z and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.3424 + 0.3378. What is g rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 82400000 = -3*o. Round o to the nearest 1000000.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -3. Suppose x - 1 = -m*s, -2*x = x + 4*s - 3. Is x\/2 - (-51)\/6 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 2. Let p = -40.9 + 41. What is the fourth biggest value in p, -1\/10, 1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -4*r + 2, 0*y = y + 4*r + 6. Let n = -4 + 2. Let l = n + y. Solve -v = -l*v - 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccc. Give prob of picking 3 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**3\/3 - 2*d**2 + 150*d + 450 = 0 for d.\nAnswer: -15, -3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + -5 - (-1 - -1) - (-6 + 5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 66*u**2 - 4*u - 13. Let g(a) = 131*a**2 - 9*a - 28. Calculate -6*g(m) + 13*v(m).\nAnswer: 72*m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 377357 and 706.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {d: 2, i: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 6 = 4*s. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-2 - (0 - (0 - -1))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.00673 and 0.5?\nAnswer: 2.50673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -1. Let l(i) be the third derivative of 1\/24*i**4 - 24*i**2 - 5\/6*i**3 + 0 + 0*i. What is -5*h(n) + l(n)?\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -49*n + 88. Let c be h(9). Let o = c + 362. Solve -5*d + 16 + o = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -353 take away 4.38?\nAnswer: -357.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*g - 1793*g - 20033 - 20532 = -2109 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 10120121?\nAnswer: -10120120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of 3*d**3\/2 - d**2\/2 + 22*d - 4. Let m(w) be the first derivative of n(w). Let l(f) = -8*f + 1. Calculate 7*l(u) + 6*m(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.079 - 0.079. Let u = -2 + 1.8. What is the nearest to u in n, 0, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.46 minus -6.447967653?\nAnswer: 5.987967653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 11*n**2 + 11*n + 14. Let z(t) = 3*t + 13. Let k be z(-4). Let g be (-8)\/(-2) - k\/(3\/(-24)). What is h(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36084778.\nAnswer: 2, 17, 1061317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2087 + -2090. Let l = 140\/549 + -2\/61. What is the third smallest value in s, l, 0.1, 23?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1452*x - 1377*x - 2831100 = 0. List the prime factors of x.\nAnswer: 2, 9437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 + -33. Let j = 14.0000083 + s. Round j to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 9*y - 8. Let h be i(-7). Suppose 8*r = 74 + h. Calculate the lowest common multiple of 54 and r.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11000 (base 4) to base 13\nAnswer: -1b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 38\/3 or -1\/59?\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67194690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21460?\nAnswer: 2, 5, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 89\/4655 - -4\/95. Let m be (4 + (-9)\/5)*(-699)\/(-147). Let y = m - x. Find the common denominator of 38\/11 and y.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 18017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 400 = 7*i + 43*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 3:01 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -395 + 396. Let r = 19.2 - 19. Which is the nearest to 2? (a) r (b) k (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 6*c - 22 = 0. Suppose -5*s + 4*s + c = 0. What is the remainder when 53 is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.16+10.09\nAnswer: 9.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4711.97 - -4712. Which is the nearest to -0.1? (a) -4\/5 (b) 145 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.19 - -0.19. Let y(j) = 6*j - 1 - 9 - 18. Let g be y(5). Which is the closest to 0.1? (a) m (b) g (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 31*d - 10. List the prime factors of y(2).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 262707360 and 26810.\nAnswer: 3830","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -79 - -82. Find q, given that 3\/5*q**2 + 3\/5*q**l + 0*q + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than -0.0290513552?\nAnswer: 0.1709486448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -w**4\/6 - 5*w**3\/6 - 5*w**2\/2 - w. Suppose s = -s + 8. Let l(q) = -4*q**2 - 9*q - 9. What is s*l(z) - 7*i(z)?\nAnswer: -2*z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -5*v - 5, 5*d - v + 0 = 1. Suppose -a - 4*u = 10, -5*a + 20 = -5*u - 5. Suppose t - a = -d*t. Solve -3*i + 12 = -w + t, -2*i + 11 = -5*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + (sqrt(288) + 1 + sqrt(288))*-6)**2.\nAnswer: 1584*sqrt(2) + 34884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from klklkkkkk?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 11. Let r(d) be the third derivative of 5\/6*d**k - 1\/12*d**4 + 0 + 0*d + 2*d**2. Calculate r(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, -4, -4786, 16\/5, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1238 - 1197. Calculate the remainder when 264 is divided by c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of s**3 - 36*s**2 - 156*s + 1272. Find i, given that d(i) = 0.\nAnswer: -2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24226673 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 49, 65, 99, 157, 245, 369?\nAnswer: 535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - o + 384. Let a be i(0). Suppose 0 = -14*r + 8*r + a. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6553.72 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.5 in 12\/5, 0.4, 0.2, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 40.425*21\nAnswer: 848.925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 3 + 9*j + 5 + 0 + 2. Let o be (-1 - 1)\/4*-18. Let m be q(o). Which is smaller: m or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12493 is divided by 255?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -21*c**2\/2 + 7*c + 20. What is the units digit of v(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19.23461 * 14.\nAnswer: -269.28454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3938898423 to the power of 1\/5, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -71 + 13b8309?\nAnswer: 13b8258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1209894?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.9 - 2.7. Let q = 5.2 - r. Let y = -3.2 - -3. Which is the closest to y? (a) -1\/5 (b) 2\/9 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 1\/11 (c) -14\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 26*g + 79 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n + 3*n + 2*n + (6*n - 4*n + 0*n)*(-3 - 5 + 3).\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12591 - 12590.5. Which is the biggest value? (a) 13\/2 (b) -1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 30 - 54 = -2*m, -248 = -5*m - 3*d. Let s(r) = 3*r**2 - 4*r - 3. Let a be s(5). Is m greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1383877081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-116)\/20 + (-5)\/25. Let m(f) = -2*f - 5. Let t be m(z). Solve 5*n + c = t, 4 = -n + 4*c - 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 13\/4 of a microgram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -38ab + 2855?\nAnswer: -1056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22655 - 22651. Suppose 3*p = -3*y + 12, p - 28 = -5*y - 2*p. Solve -3*b - y = -b, -3*f - 4*b = r for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 3\/1024187?\nAnswer: 3\/1024187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*q - 0*q. Let c be (1 + 1)\/((-4)\/q). Which is greater: 2\/5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**5 + 4301*j**4\/2 - 31105*j**3\/2 + 19675*j**2\/2 + 91999*j\/2 + 18462 = 0. Calculate j.\nAnswer: -724, -1, -1\/2, 3, 17\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 0*r + r + 8, -6 = -3*s + r. Solve 3*c - 2*f + 5*f + 6 = 0, 2*f = -4*c + s for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 6*d**2 - 3*d + 4. What is q(4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 0, -5, -3 in descending order.\nAnswer: 0, -3, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/3*(-6)\/(-36)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 52*h - 4318 + 5098 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 2) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.19 in -0.5, -14, 62\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(16)\/(sqrt(8)*1).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 2 (c) 5 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18998425 and 2986?\nAnswer: 1493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 1388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 44 = c, 0 = 5*h - 281*c + 277*c + 41 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 221 - 213. Let o(u) = -u**2 - 14*u - 14. Let a be o(-13). Put a, 2, s, 3 in decreasing order.\nAnswer: s, 3, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and 547817.\nAnswer: -4382536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w + 1 - 1 + (-4 + 5 + 2)*(85*w - 102 + 102) + 1 - w - 1 + (-6*w + 11 - 11)*(3 - 2 - 3) as j + y*w and give y.\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 12*b**2 + 7*b - 85. Is x(10) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2.3 and -941631 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/18 + 75\/27. Calculate the remainder when 27 is divided by (51\/9 + -1)*j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 9*r**2 + 31*r - 316. Determine h(5).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p - 8. Let v be q(-6). Find the second derivative of -2*r + 4*r - v*r**5 + r**5 wrt r.\nAnswer: -60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 - 15. Let a be ((-12)\/10)\/(32\/5 + -6). Calculate the remainder when (-89 - (a - 1))*-1 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/5 (b) -3\/7 (c) -0.5 (d) -341.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 t when four letters picked without replacement from pteette?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-8) + 1\/(-4))*10. Suppose -u = y*z - 66, -5*u + 8 = -7*u. Calculate the remainder when z is divided by (2\/2)\/((-2)\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -806\/33661?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*d = 79*d + 103 + 37 for d.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 7 = -1. Suppose -3*b - m*k = -68, -5*b + 68 + 52 = 2*k. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -6*x**3 - 7*x**2 + 7*x - 7. Let i(k) = -16*k**2 + 12*k**2 + 1 + k**3 - k + 5*k**2. Calculate 3*f(u) + 21*i(u).\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**3 + 62*y**2 + 68*y**2 - 109*y + 57*y**2 - 227*y**2 + 66*y**2 in the form p*y + t*y**2 + r*y**3 + v and give t.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + ((-4836)\/1302)\/(4\/14).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqv when three letters picked without replacement from vqq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/3))**(-1\/93)*r**(1\/10)*r**(1\/2)*r assuming r is positive.\nAnswer: r**(2237\/1395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 112436.497 rounded to the nearest one hundred?\nAnswer: 112400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 - (12 + (39 - 22) - 11).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5134378651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 11*n**2 + 15*n + 302. Determine f(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -7543 greater than 353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h - 3. Let g(c) = c**2 - 7*c - 7. Let n(f) = -3*g(f) + 7*r(f). Let o(p) = 2*p**2. What is o(n(i))?\nAnswer: 18*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2000202 - 1012?\nAnswer: -2001221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -627, -653, -679, -705, -731?\nAnswer: -757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15561\/5 + -3115. What is the common denominator of -53\/20 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6183 and 1832?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -3*w**2\/5 - 27126*w\/5 - 61318323\/5 = 0.\nAnswer: -4521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1462523759 and -5?\nAnswer: 1462523754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 846 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sfsccsfcfscsffcpffc. What is prob of picking 2 f?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/21))**1\/(b**(-2\/21)*(b\/b**(4\/3))\/b) assuming b is positive.\nAnswer: b**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 0. Suppose -4*c = -2 + j. Let i(a) = -a - 1. What is i(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 4*n + 294. What is the greatest common divisor of 42 and n?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2108868047.\nAnswer: 11, 13, 1087, 13567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*w + 57 + 15 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -6*p. Let g(k) = -k**2 + 12*k + 12. Determine g(n(u)).\nAnswer: -36*u**2 - 72*u + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -487*i + 2416 = -19 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 32 = 4*s, o + 0*o - 3*s + 9 = 0. Suppose -2*w = 4*f, o*w = 2*w + 3*f. Suppose 3*u = 5*u - 4. Solve 2*h - u - 2 = w for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000601 rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 6 = 9. Let s(f) = -3 + 3 - b*f + 2*f**2 + 1. Let v(c) = -4*c**2 + 5*c - 2. Determine 5*s(r) + 3*v(r).\nAnswer: -2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 3*w)*(2*w + 0*w - 5*w)*(50 + 23 + 32 - w**2) to x*w**3 + b*w**4 + j*w**2 + n + c*w and give j.\nAnswer: -945","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35396\/81 + -437. Let l = 151\/891 - q. Let d = -4.7 - 0.3. What is the biggest value in d, l, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20959548, -20959543, -20959538, -20959533?\nAnswer: -20959528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8528, -8532, -8538, -8546, -8556, -8568?\nAnswer: -8582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 746184 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2397820925\/1559341 - 1\/222763. Let t = w + 58741\/35. Let q = -141 + t. Which is the nearest to q? (a) 1 (b) -0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4764 - -4758. Which is the third biggest value? (a) v (b) 0 (c) 0.1 (d) -0.2 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 311 + -156. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d - 9. Let l(g) = 81*g**2 + 6*g + 1539. What is l(o(n))?\nAnswer: 81*n**2 - 1452*n + 8046","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111203102220 (base 4) to base 6.\nAnswer: 321031240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) 19 (c) 2\/5 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 599617451?\nAnswer: 599617451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 719707809.\nAnswer: 3, 41, 5851283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3323*n**3*z**3 - n**2*z**2 + 330*n**2*z + 3*n*z**3 wrt n.\nAnswer: -19938*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s - 2*s**3 + 1 + 4*s - 13*s - 3*s**2 + 4*s to the form y + w*s**3 + b*s**2 + g*s and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, f: 2, x: 2, g: 6, m: 2}. Give prob of picking 1 w and 2 m.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*s**4*x - 38*s**3*x - s**3 + 35092*s*x + s + x wrt s.\nAnswer: 132*s**2*x - 228*s*x - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -640*n + 71664 = -628*n. List the prime factors of n.\nAnswer: 2, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 5*t - t - 13, -y - 1 = 2*t. Let u(s) = 2*s**3 - 4*s**2 + 3*s. Let q(p) = -p - p**3 + 7*p**2 - 3*p**3 - 4*p. Calculate y*u(i) + 3*q(i).\nAnswer: -2*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -8*s. Let x(c) be the first derivative of 2*c**3\/3 - 13. Give x(b(f)).\nAnswer: 128*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**10)\/(b*b\/b**11*b))**(-1\/46)\/((b**(-4\/9)\/(b*b**5))\/(b**1*b*b**(1\/3)*b)) assuming b is positive.\nAnswer: b**(4057\/414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.92616l to millilitres.\nAnswer: 4926.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430982 is divided by 39.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205 = 14*j - 705. Calculate the remainder when 194 is divided by j.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 205024210 - 245?\nAnswer: 205023521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -819 + 806 + (3 - (2 + -3)) + 61?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/15 - 14376722*s\/15 + 100637152\/15.\nAnswer: -2*(s - 7)*(s + 7188368)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 64*w + 328. Let v be z(-5). Solve 3*p + 20 = v*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 4. Let j = 3.1 + -10.2. Let y = 7 + j. Which is the closest to -0.1? (a) f (b) 3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.7 + -0.3. Let v = -2 - g. Let o = v - -1. What is the smallest value in -0.5, o, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 + 124 - 124.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n + 3*n + 4*n**2 - 4*n**2 + 3*n**2 - 2*n**2.\nAnswer: n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 254561, 253465, 252369, 251273, 250177?\n\"Answer: -1096*a + 255657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**4\/2 - 9*s**3\/2 + 45*s**2\/2 - 51*s\/2 + 9 = 0. What is s?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/376696 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -3*j - 5*j. Suppose j = -9*i - 4*i. Solve i = 2*r - 5*z + 15, r + z - 10 = -0*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (1*sqrt(4114)*-3)\/(sqrt(16)\/(sqrt(392)*-1)))**2.\nAnswer: 907137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002018 to 4 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3112, 3147, 3182, 3217?\n\"Answer: 35*f + 3077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (279\/(-12) - -2) + (-21)\/28. Let m(u) = -13*u - 97. Let l be m(h). What is the highest common factor of l and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -z**3\/3 + 9*z**2\/2 + 8. Let q be i(9). Suppose -r - 2*r = q. Solve r = -3*n + 4*n - 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14956013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 105958?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2404347073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 324*(9154\/276 + -33).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 807 + 403 = 11*l. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 195300 and 260400.\nAnswer: 781200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/231 - ((-116640)\/198)\/6.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-4*(0 + sqrt(180)) + sqrt(180))**2 + 4 + (0 + sqrt(180) - sqrt(180))**2 + sqrt(180)) + 4*5*(sqrt(180) - sqrt(180)*-4)**2*-4.\nAnswer: -366496 - 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 6:33 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3e3 - -3?\nAnswer: 3e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11038 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10001011110011111100 (base 2) to base 12\nAnswer: -2374a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*d + 0*d = 0. Let b(k) = k**3 - 2*k**2 + 7. Let z be b(d). Solve -x = 6*m - 11*m - 5, z = 4*m - 3*x for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**2 - 5*k**2 + 12*k - 7*k + (k + k - k + 2)*(-2*k + 5*k - 2*k)*(-3 + 2 + 10).\nAnswer: 6*k**2 + 23*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86329 = 420*w - 34249 for w.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58469864?\nAnswer: 2, 23, 317771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 2\/3, -1, -8\/293, -8, 4?\nAnswer: -8\/293","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 17*j - 13. Let v(u) = 4*u**2 + u + 2. Let s be v(-2). Let a be p(s). Suppose -g - 3*g = -x - 291, -a*x = -3*g + 216. Does 12 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3689.2 + -3689. Let c = 0 - 0.2. Let d = z + c. What is the third smallest value in -3, -0.1, d, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 146 - 60. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-14)\/4)\/(-7)*12. Suppose 94 = 4*k - o. Calculate the greatest common factor of 5 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 - (-1 - 0 - -104). Let n = -32 - b. Does 12 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14424 + 14424.21. What is the second biggest value in 3, 1\/7, 5, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12008 (base 15) to base 9.\nAnswer: -86638","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*b**2 - 226*b**2 + 113*b**2.\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 15 = 0, 3*b + 1656 + 4745 = 2*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -378 * 38\nAnswer: -14364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8220820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 293144 > 293133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**5\/9 + 32*x**4\/9 - 656*x**3\/9 - 8192*x**2\/9 + 4384*x - 4608 = 0.\nAnswer: -18, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -6. Let k = -61246.4 + 61246. Which is the closest to 1? (a) k (b) n (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 510 a factor of 2783689650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8217?\nAnswer: 3, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/(-16))\/(3\/(-8)). Suppose 6*r - 88 = y*r. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qr when two letters picked without replacement from qqrrqqrrqrqqqrqrrr.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 - -48. Suppose -3*n - 3 = -k*f, 4*n - 2*n = 2*f - 4. Let c(h) = -133*h - 32. Is c(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 219762 + 219755 = 5*s, 0 = -11*s + 11 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, a: 4}. Give prob of picking 2 l and 1 a.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 257 = -205. Let p be 231*(-1 + -1 - -3). Let d = p + j. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/10*1\/2. Let c(y) = y**2 + 6*y - 7. Suppose -20 = -5*b, -2*q + 3*q = 2*b - 15. Let v be c(q). Which is smaller: t or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/((1890\/(-12))\/(-21))*50\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -1. Let c(w) = -2*w - 4. Let y(f) = -f - 1. Let m(t) = c(t) - 3*y(t). Let q(k) = 2*k + 2. Let b(p) = m(p) - q(p). Calculate -b(g) + s(g).\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -178*q + 61*q + 60*q - 24 + 187 + 64*q. Determine k(-19).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96269884 divided by -11756.\nAnswer: 8189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1732, -837, 1588, 6305, 14076, 25663, 41828, 63333?\nAnswer: 90940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -242 - -256. Suppose 0 = -w*g + 50782 + 21192. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 2*p**2 + 27*p - 21. Let h be r(-5). What is the units digit of h - 26 - -157*11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - -c?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24737672?\nAnswer: 2, 3092209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -22, 3, 10, -4, 23 in increasing order.\nAnswer: -22, -4, 2, 3, 5, 10, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -185818.\nAnswer: -185818, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 10\/(-8) - 1. Let i be -11*2\/(-16) - 1. What is the closest to a in 4\/7, -3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 11:56 PM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 2*f**2 - 5*f - 4. Suppose -7 = 2*o - 19. Let w be (-15)\/o*18\/15. Let t be g(w). Solve 0 = -t*q + 3 - 7 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7.414083kg?\nAnswer: 7414083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/40*(-1620)\/77868*(-63)\/27?\nAnswer: 1\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 464729937 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**4 - 168*l**3 - 5991*l**2 - 79940*l - 367500 = 0.\nAnswer: -125, -15, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 12:15 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -135*h*p**3 - 28*h*p**2 + 2*h*p + 137*h - p**5 + 2*p**4 wrt p.\nAnswer: -810*h - 60*p**2 + 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/(12\/(-26)) - -4.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**7\/a))\/a)**37 assuming a is positive.\nAnswer: a**(-222)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2424 and 4848?\nAnswer: 4848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 595854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14521?\nAnswer: 13, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.0652 + 1.4\nAnswer: 1.3348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j**3 - 17*j**2 - 4*j - 12. Let r be z(6). Suppose r = 92*v - 99*v + 42. Do v and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (-6 + -8)*31. What is the greatest common divisor of d and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8.892 + 11.4236. Let m = -2.42701 + c. Let x = 0.104 - m. Round x to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)*-3*6 + sqrt(112))**2 - (sqrt(7) + (sqrt(84)*1)\/sqrt(12) + (sqrt(168)\/sqrt(4))\/sqrt(6)).\nAnswer: -3*sqrt(7) + 32368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 28 = -2*f, -4*f + 2*u + 6 = -0*f. Suppose 2*k - 1 - 154*k**2 - f*k + 153*k**2 = 0. Calculate k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 + -24.5. Let g = -7.06 + 0.06. Let k = u + g. Which is the biggest value? (a) k (b) -5 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -v**5\/60 - 5*v**3\/6 - 2*v**2. What is i(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t - 5*t**2 - t**3 + 0*t**2 - t + 2*t**2. Calculate the remainder when 20 is divided by q(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 845 + 722 = x - 4*o, -6336 = -4*x - o. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (18\/4)\/(261\/116). Let o = -3 + 3.1. Let i = -3.1 + o. Which is the third smallest value? (a) 5 (b) -0.05 (c) s (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-10))\/((-3)\/360). Suppose 0 = -3*j - 12, 2*r + 2*j = -0*r + 56. Calculate the highest common factor of k and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4268\/15, -9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -10 - 9 - 2*y - 5 + 37 - 3. What is b(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(22)\/sqrt(2) - -1*sqrt(11)*-1)*-6*-3)**2.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 746833814 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6744 - 13833*j - 6744.\nAnswer: -13833*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -20190030322.14 + -180\nAnswer: -20190030502.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 - 62. Let z = m + 21. Let b = -5 - -7. What is the nearest to z in b, -0.4, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 5*n**2 + 2*n + 1. Suppose 3*x - 24 = -0*x. Suppose 0 = -4*w + c - 290, -7*c + 3*c = -x. Let p be (-3)\/2*w\/(-54). Give r(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35922210 to the power of 1\/3, to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37781 - (10 - 1) - 4?\nAnswer: 2, 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 14*b**2 - 1. Let l be x(-1). Suppose u = 2*u - 117. What is the highest common divisor of l and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/282778931 and 58\/141?\nAnswer: 848336793","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -33*o**2 - 131*o + 4. Let f be r(-4). Which is the third biggest value? (a) -22.8 (b) f (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 27\/4 of a hour?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(1120\/42))\/(-2)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -159 + 158.999999686. What is p rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**2 + 2243*d - 2243*d - 20)*(0*d - d + 0*d)*(0 + 2 + 1).\nAnswer: 9*d**3 + 60*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5972\/97045)\/((-2)\/5).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/1316 and 3\/446828.\nAnswer: 147006412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/5)*z)**(-16\/3)*(z**(-9\/2)*z)\/(z*z*z**(-2\/3)*z) assuming z is positive.\nAnswer: z**(-271\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(5*sqrt(18)\/sqrt(6) + 5 + sqrt(9)\/sqrt(3)))**2 + 0 + ((sqrt(75) + 2*sqrt(75) + sqrt(75) + 1)**2 - sqrt(75)) + -1.\nAnswer: 1535*sqrt(3) + 4525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r - 5*x - 8 - 0, 0 = -2*r - 4*x - 10 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -131, 59 in decreasing order.\nAnswer: 59, 2, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 964.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, k: 2, r: 1, q: 6, w: 1, d: 2}. Give prob of sequence qqd.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -10*h + 3. Let n(p) = 7*p**2 - 18*p**2 + 9*p**2. Determine i(n(s)).\nAnswer: 20*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 0*c + 5*c)*(-c**3 + 0*c**3 - c**3) + c**4 - 3*c**4 + 9657*c**2 - 11720*c**2.\nAnswer: -4*c**4 - 2063*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1932 = -33*g + 39*g. Does 46 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c - 7. Let k be u(-5). Solve -k*s + 4*o + 3 = -0*o, 2*o + 1 = s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 217, -4, -4845 in increasing order.\nAnswer: -4845, -4, 217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/28*((-60)\/8)\/(-5).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 - 76 + 4*r**3.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/1 - (-2)\/(-2). Find the third derivative of 0*w + 0*w - z*w**6 - 3*w**2 wrt w.\nAnswer: -240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - l - 6 = 0. Suppose l - 4 = -2*c. Suppose -t + 6 - c = 0. Solve -2*v - 8 = u, -t*u = -3*v - 2 - 23 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3*o + 12. Let y(a) = 4*a**3 + 3*a. Let l(h) = 16*h**3 + 13*h. What is o*l(k) - 26*y(k)?\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*w - 21*w - 19*w.\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1484444987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 (base 10) in base 6?\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 q when four letters picked without replacement from {c: 4, q: 3, x: 5}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 23*j**3 + 10*j**2 + 5*j + 6. Let k(o) = o**3 - 2*o**2 - o - 1. What is 6*k(f) + l(f)?\nAnswer: 29*f**3 - 2*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15748 is divided by 126?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -246*y**2 - 177*y**2 - 86 - 51*y + 425*y**2. Determine k(27).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -461*p = -1897 + 975. Let 21\/2*g**3 + 0 + 1\/2*g**4 + 60*g**p + 50*g = 0. What is g?\nAnswer: -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 1 (c) -48.73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (3\/(-18) + 2) - (-7259)\/(-714)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187361 is divided by 62088.\nAnswer: 1097","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) -985 (c) -5 (d) 12081\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/39314 and -83\/26510.\nAnswer: 47373370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/4 in 3\/5, -34, -13?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1211278 is divided by 80722?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + l - 2*l)*(-2 + 3 + 0 + (0 + 2 - 5)*(-1 + 2 + 0)) + 64*l + 0 + 0.\nAnswer: 70*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**3\/4 + 209*o**2\/4 - 1285*o\/4 + 1075\/4 = 0?\nAnswer: -215, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275693?\nAnswer: 11, 71, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 35 - 5\/3*o**3 - 85\/2*o**2 - 2*o. Differentiate t(z) with respect to z.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50\/(-20))\/(18\/(-148)) + (-52)\/(-117).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 18*u**2 - u + 3. What is the remainder when a(1) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-97*f - 36*f - 15*f)*(-4*f + 6*f - f).\nAnswer: -148*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -5*b**2 - 10*b + 15. Let w(v) = v**3 + 6*v**2 + 9*v - 16. Let y(x) = 6*j(x) + 5*w(x). Factor y(r).\nAnswer: 5*(r - 1)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 0*i + 146 = -11*i, -5*y - 120*i = -125*i - 230 for y.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/285, -1, -0.6, -0.5, 1\/6, 0.0938?\nAnswer: -1\/285","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 790 and 1501?\nAnswer: 15010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.267 and -1381.\nAnswer: 4511.727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63 and 17451?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 954 and 212?\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b - 2. Let r(z) = -3. Let m = -12 - -14. Let l be (2 + 0 - -2)\/m. Let q(x) = l*r(x) - 3*d(x). Let i(g) = 3*g**2. Determine i(q(c)).\nAnswer: 27*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h - 38 - 55 + 93 + 0*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*p**3 + 2*p**3 - 5*p**3)*(2 - 2 + 2*p) - p**4 + 4*p**4 - p**4 + (-2*p + 4*p - p)*(-2*p**3 - 3*p**3 + 6*p**3) + 3 - 3 + 8*p**4)*(-9 - 2 + 0).\nAnswer: -165*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*f - 10*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 5142 + 5132 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 l when two letters picked without replacement from qldllgllllgdgglll?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of g**4\/4 + g**3 - 4*g**2 + 2*g - 215. What are the prime factors of y(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.14 - 0.1. Let a = 1.96 + c. Let j = 0.47 - 0.37. What is the third biggest value in a, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/21 and -125\/346786748?\nAnswer: 1040360244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l**3 - 2*l + 1. Give o(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 517 - 1043 + 1068*o + 520.\nAnswer: 1068*o - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 3*h - 4*h - 3*h + (3 - 1 - 4)*(0*h + 0*h + 2*h) - 6*h + h + 4*h to w + x*h and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 74674996, 149350008, 224025020?\n\"Answer: 74675012*t - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 8 - (-2 + (-4 - -6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 + 0.7. Let w = -0.6 + k. What is the third smallest value in -4\/3, -2\/7, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -71 - -71. Suppose -p + 3 = -0. Factor w - 2*z**p - 5*z - 2 + 7*z + 2*z**2.\nAnswer: -2*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 217468634 to the nearest integer?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 109*n - 216*n - 15*n + 3 + 3*n**3 to the form w + v*n**2 + p*n + s*n**3 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12876 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 67, 62, 43, 4, -61, -158, -293, -472?\n\"Answer: -u**3 - u**2 + 5*u + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -16*q + 4284. Suppose q*x = 307*x - 302. Is x a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 17941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*o + 8 = 0. Suppose -4*j - 8 = s, 4*j = 2*s + o*s - 28. Suppose 42 = -h + s*h. Is 14 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 701, 515, 327, 143, -31, -189?\nAnswer: -325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1265488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.104 + 75.896. Let q = d + -79. Which is the closest to q? (a) 2\/13 (b) 0.3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6450211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 38*j**2 + 43*j - 105. Calculate y(-2).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1055, -1002, -961, -938, -939?\n\"Answer: -b**3 + 60*b - 1114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-3 + 3 + -1 + -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -0.02, 6, -4\/3 in increasing order.\nAnswer: -4\/3, -1, -0.02, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12.1537 + 0.0457. What is a rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/3 - -1. Which is the smallest value? (a) 1\/11 (b) 1 (c) u (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 2*m**4\/11 - 14*m**3\/33 + 2*m**2\/11 + 2*m\/11 + 2. Factor u(i).\nAnswer: 2*(i - 1)**2*(4*i + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 0.4, 11, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (0 + 5 + (16 - 13)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8789 and 151481?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -1\/10668 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.336733 meters in nanometers?\nAnswer: 6336733000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28.999994 - 29. What is i rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 7*w**3\/3 - 17*w**2\/2 + w - 28. Calculate the remainder when 103 is divided by x(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -93*x - 742. Give d(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4765085 is divided by 18118.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (10 - -24) - -38.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*c - 16. What is the least common multiple of c and -4 + 2280\/180 - 2\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 74, 113, 172, 257, 374, 529, 728?\nAnswer: 977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 424 or 444?\nAnswer: 444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3151 divide 72487144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18811.91 - -18960. Let q = r + -148. Which is the fourth smallest value? (a) -3 (b) 0.1 (c) -0.3 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 3*i**2 - i - 3. Let j be x(2). Let w be (-2)\/4*-4*35\/14. Let b = j + w. Solve -1 - 3 = b*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5*k**2 - 68*k. Let y(i) = -11*i**2 - 135*i. Let c(t) = 2*y(t) - 5*z(t). What is the second derivative of c(d) wrt d?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2590302164?\nAnswer: 2, 47, 113, 121931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 6\/36*-2 + 20\/132.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**3 + 36158*m**2 - 2735816*m - 11521920 = 0?\nAnswer: -4, 80, 18003","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1748, 13905, 46886, 111107, 216984?\n\"Answer: 1736*u**3 - 4*u**2 + 17*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -16.9 (b) 13 (c) 8\/45 (d) 0 (e) 0.3 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8 - -9)*-1 - (-12)\/2. Solve 3*g = m*g - 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s + 7. Let g be 1\/2 - (-54)\/(-4). Suppose 0*k + 10 = f - k, -4*k = 8. Let i(h) = -f - 90*h + 86*h - 7. What is g*z(a) - 6*i(a)?\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 7:43 PM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -8 - (-5 + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.11, -0.2, 159, -10?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 5020940 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 159*d**3\/7 + 1254*d**2\/7 + 2400*d\/7 - 288\/7 = 0.\nAnswer: -4, 6\/53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -8*(-2 + 3)*(-5)\/10. Solve 5*x = -u - 7, i*x - u - 3*u = 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 163337 - 163344. Let a(w) be the second derivative of -w**3\/2 - 2*w**2 + w. Give a(b).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 5, -0.031 in increasing order.\nAnswer: -0.031, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46 + 109. What is the least common multiple of 63 and y?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -103*u**5\/4 - 56*u**4 + 608*u. What is the third derivative of d(h) wrt h?\nAnswer: -3090","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - g + 0*g)*(21*g - 11*g**3 - 21*g) - 2*g**4 - 2*g**3 + 2*g**3 + (-5*g**2 + g**2 + 2*g**2)*(3*g**2 - 9*g**2 + 4*g**2).\nAnswer: 35*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-1\/4))\/((i*i**(4\/13)\/i)\/i*i*i))**(37\/2) assuming i is positive.\nAnswer: i**(-1073\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -x**4 - 294*x**3 + 27987*x**2 + 115444*x + 116604 = 0.\nAnswer: -369, -2, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or -151639?\nAnswer: -151639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, s: 2, c: 1, o: 1, e: 2}. Give prob of picking 1 c, 1 s, 1 u, and 1 e.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12742 rounded to 2 decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**3 + 2*s**3 - 3*s**3)*(9*s - 19*s - 12*s)*(-2*s - 5*s + 4*s)*(0 - 2 + 1).\nAnswer: 66*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 3*x**2 + x - 1. Let k be l(3). Let a(w) = -w + w**2 + 0*w**k + w. Let j(p) = p. Calculate j(a(t)).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43.2 - -41.2. Sort -1\/3, -5, -104, f.\nAnswer: -104, -5, f, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a + 31861?\nAnswer: 3186b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 262, 1061, 2394, 4261?\n\"Answer: 267*d**2 - 2*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -10*n**2\/7 + 66326*n\/7 - 39792\/7 = 0.\nAnswer: 3\/5, 6632","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4680 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*v = 155*v + 1110. Suppose 5*p + 9 = -1. List the prime factors of (-6 - p) + v + -1.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5*(-3*(sqrt(76) + 0) + sqrt(76) + 4 + (sqrt(76) - (sqrt(76) + sqrt(76) + sqrt(76)*-1) - sqrt(76))**2)*5.\nAnswer: -100*sqrt(19) + 1998","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3719996 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 c when two letters picked without replacement from {v: 10, c: 8, x: 1}?\nAnswer: 80\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -24\/25 and 68\/13995.\nAnswer: 69975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(11\/3)*(v\/(v**(-10)*v))\/v*(v*v*v**5)**(-12\/11))**(2\/7) assuming v is positive.\nAnswer: v**(-86\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 15\/4 of a decade?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 380 and 84113?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 724 + -720. Let n(q) = -9*q**2 + q - 3. Let p(i) = -5*i**2 - 1. Let h(s) = 6*n(s) - 11*p(s). List the prime factors of h(u).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -62098 and -2421869\/39 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**5 + 7532*m**4 - 3418014*m**3 + 372275704*m**2 - 1072777472*m - 1448478720 = 0?\nAnswer: -4185, -1, 4, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 290151 to the power of 1\/2, to the nearest integer?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35 + 16 - 20)*(-2 - 1 + 0)*(7 + 1 + 2)*(-2*f**4 + 2*f**4 - f**4).\nAnswer: 930*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*6*(sqrt(171)*-1 + sqrt(171) - sqrt(171)))\/((-1*sqrt(99)*6)\/sqrt(11)).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**4 + 1076*r**3\/3 - 2527*r**2\/3 + 4*r\/3 + 1444\/3 = 0?\nAnswer: -361, -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**6 - 2*h**3*m - h**3 - h**2*m + h*m - 2*h wrt h?\nAnswer: 240*h**3 - 12*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f - 125*f + 357588 = 0. List the prime factors of f.\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 13*g + 5. Calculate the lowest common multiple of c(-6) and 10.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -22132, -1, -4 in ascending order.\nAnswer: -22132, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v + 12. Let z be g(-12). Let f = z + 2. Let t be ((-6)\/15)\/((-12)\/f). Sort -0.04, -0.5, t in ascending order.\nAnswer: -0.5, t, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n**2 + 268*n + 96. Determine m(-89).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5*z = -37, -f - 47 = 4*z - 10. Let v = f - -19. Let i = v + 27. What is the lowest common multiple of 1 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 121998\/7 or 17428?\nAnswer: 121998\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 x, and 1 q when four letters picked without replacement from xbqsbuxqsbbuuusq.\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 4834 = -1844*i + 1688*i, -3*u - 6 = 0 for i.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-6) + 14647\/(-2). Is k*(4 - (-13)\/(-3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(4 + (-9)\/2) + -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 40\/16)\/3*(-1 + -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**2 - 2590*l - 79500 = 0. Calculate l.\nAnswer: -30, 1325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57773*u**3 + 109822*u.\nAnswer: -346638*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -a. Let l(h) = -7*h + a*h + 4 - h + 6*h. What are the prime factors of l(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 59. Is v a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*l = -5*n - 15, 51 - 29 = -2*l + 2*n + 28 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7 + 5 - o**4 - o + 1 - 5*o**2 - 14 + 39 wrt o.\nAnswer: -12*o**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -69*l + 72*l + 3*p - 21, -47 = -l - 5*p for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31577600 rounded to the nearest 1000000?\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (15\/(-3))\/(-5)*0. Suppose -1 - 6 = -2*n - s, j = 3*n + 2*s - 11. Solve -n = -b - 0*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 31.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -114868965*c**6*y**2 + c**2*y**2 - 25082512*c**2*y wrt c?\nAnswer: -13784275800*c**3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 2 - 4)*(-4 + 6 + 0) + 1 + 1 - 3)*(-6*r - 23*r - 5*r).\nAnswer: -34*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 6)*(-5*v**3 + 0*v**3 + 3*v**3) - 6 + 6 + 5*v**3 + (v**2 - 2*v**2 - v**2)*(v - 3*v + 0*v) + 2*v**3 - 3*v**3 + 3*v**3.\nAnswer: 15*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-997 - -1020) + -1 + -33 - 10?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 2*o**2 - 1 - 2*o - 1 + 3 to the form p*o + b + f*o**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 312?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -18. Suppose -2*f - w*n - 15 + 0 = 0, -f = n. Find the second derivative of 15*z + 0*z**f + 4*z**5 - 10*z wrt z.\nAnswer: 80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.7331 to 1 decimal place.\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b - 33. Let g be y(0). Let h be (-1842)\/g + 2\/11. Suppose 4 = -4*a + h. Is 11 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 + 5*x**4 - 187*x**4 + 25*x**4)*(-2*x - 5*x + 5*x + (-1 + 1 + 2)*(2*x - 3*x - x))*(-1 + 4 - 1)*(1 - 4 + 1).\nAnswer: -3768*x**5 + 72*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236261?\nAnswer: 236261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s - 35 + 16 + 19.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6541 - -17330?\nAnswer: 10678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1323200 to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*m**2 - 1 + 2*m + 6*m**3 + 13*m**2 - 2*m**3 - 2*m**4 as a + w*m + h*m**3 + p*m**4 + u*m**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3428000 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-20)\/(-8))\/(-1*5\/20*-4). Let i(p) be the second derivative of 0*p**3 + d*p**4 + 0 - 9*p - 4*p**2. Differentiate i(t) with respect to t.\nAnswer: 60*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392621943 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4575556?\nAnswer: 2, 127, 9007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 17*y. Let f(c) = 65*c**2 + 25. Determine f(i(h)).\nAnswer: 18785*h**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 + -112?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 3*y**2 - 2*y + 2. Let n be h(3). Let r be (-10)\/n - (-9)\/6. Find the third derivative of 2*w**2 + 6*w**r - 6*w**2 - 3*w**2 - 4*w**4 wrt w.\nAnswer: 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xzmwxzxxxmxm. Give prob of sequence mzm.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 + 0. Which is the nearest to 12? (a) s (b) -3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10524394963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 24874374*l. Let p(i) = 14*i**2. Give j(p(r)).\nAnswer: 348241236*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 70*x - 67*x - 11468, 5*x + p = 19104. What is the greatest common divisor of x and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in 4, -3, 0.146?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b - 12*b + 0*b)*(-2 + 2 + 3*b)*(3 - 4 + 2) + (2*b + 3*b - 3*b)*(22*b - 13*b - 34*b + (-5*b + 6*b + b)*(-3 + 3 + 2)).\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 10:40 PM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and -1.05723.\nAnswer: 0.0105723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 494c1 (base 15) to base 4.\nAnswer: 321013210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + 5*t - 4. Let l be j(-6). Let a = -223 - -403. Let v = -180 + a. Solve l*k + v*k = -2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.035302076 plus 0.5?\nAnswer: 0.535302076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.7 in 0, 9, -26.3, -0.3, 1\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/154 and 79\/135418178.\nAnswer: 1489599958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12687914 + -2112086. Round f to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*a = -49*a + 15, 2*b = 3*a + 13 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 4*z. Let q be y(-4). Suppose q*j - 3450000 = -5*j. What is j rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, t: 2, d: 4}. What is prob of picking 2 d and 2 i?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23851 is divided by 42.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2)*4*(-3)\/96?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 6 = 0, 1 = b - 3*y - 11. Suppose 2*o + 3*o = 5*r - 25, -5*r + b*o = -19. What is the common denominator of -89\/6 and (-3)\/r + (-140)\/12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 6:31 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 589387833 to the nearest integer?\nAnswer: 838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4 = -o. Suppose 3*b = 5*a + 2, -o*b + 0*a + a + 13 = 0. What is the highest common divisor of 36 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 687\/238 + -1\/34. Find the common denominator of a and 55\/152.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 12507*v - 37515. Determine s(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 39*t**2 - 136*t + 6610. Determine y(38).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 302 + 5?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/9)\/(41\/(2460\/40))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6090.\nAnswer: 2, 3, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 10*r - 3. Suppose -25 + 7 = -2*o. Let t be c(o). Solve -3*b = -0*q + 2*q - t, 0 = -5*b - 3*q + 9 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -6. Let b be d\/6*8 + 13. Suppose b*z + 351 = 1170. Is z a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -a**4\/24 + 14*a**2. Let w be 1\/(2\/(5 - 1)). Let x = w + 1. Give g(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16\/4423, -2\/7, -1\/3 in increasing order.\nAnswer: -1\/3, -2\/7, -16\/4423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, 3, -0.01, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 27*f. Let g(y) = 1233 + 7*y - 4*y - 5*y - 1372. Calculate g(h(a)).\nAnswer: -54*a - 139","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4*v**3 + v**2 + 8*v + 4. Let x be f(-2). Solve -14*d + 38 = x for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-8) + ((-5)\/2)\/(380\/285).\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*s - 3 = 0, -5*u + s + 9 = 1. Suppose m - 1 = -0*m. Is u != m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17713253.6 + 17712417.60779. Let h = 836 + i. What is h rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29236*g + 27242*g - 56478*g - 5*g**3.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(280))\/sqrt(8))\/(sqrt(50)\/(-2*sqrt(10))).\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u - 15*u + 77 = 284 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -80 - -80. Let r(g) = -g**3 + 4*g**2 - 3*g. Suppose -2 = -2*b + q, 3*b - 3*q = -2*q + 4. Let c be r(b). Put c, x, 5 in ascending order.\nAnswer: x, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-68)\/(-85)*(-35)\/(-4)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5399 + 5399 - 4*u**2.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -24, -34, -44, -54?\n\"Answer: -10*q - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 77, 134, 193, 254?\n\"Answer: o**2 + 54*o + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (14 + -20)*(-3)\/6. What are the prime factors of (2769\/52)\/(d\/16)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three twentieths of a millimeter?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 130*t**3 + 11*t**3 + 254*t**2 + 0*t**3 - 188*t**2 wrt t?\nAnswer: 846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -2. Let q = -3.93 + -0.07. What is the closest to i in 1, 0.4, q?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 503151?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -764628, -1529268, -2293912, -3058560?\n\"Answer: -2*m**2 - 764634*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -4*p + 5*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/4 and 115\/564.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + -24 + -3 + 12?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**4\/8 + 7*w**3\/2 - 19*w**2\/2 + 9*w. Let d(s) be the first derivative of q(s). Does 7 divide d(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15376, 61429, 138158, 245557, 383620, 552341?\nAnswer: 751714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -8*i + 73. Let j be f(8). Solve 4*t - 4 + 6 = 2*g, 4*g + 5*t + j = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1167)\/(-51) + (-4)\/(-34) - 3. Suppose -4*d + n = d. Solve d*l = -0*l - 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 12396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 172538713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from lplpplplpllplllppplp?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 719 - 180 - 183 - 8*k - 175 - 182. Give v(-8).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -182792, -365582, -548368, -731150, -913928, -1096702?\n\"Answer: 2*d**2 - 182796*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -625 = -a + 132. Suppose 3*w - a = -70. Is 6\/(-4) + w\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -616377*d**3 - 27*d**2 - 6970*d - 1 wrt d?\nAnswer: -3698262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/20 + -1 - 3\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7665 - -88?\nAnswer: -7566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 = 39*g - 33*g. Let s(f) = 4*f - 2. Calculate the remainder when g*(-5)\/(-2) + 6 is divided by s(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 20*k**2 + 27*k - 9. List the prime factors of m(19).\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 622.\nAnswer: -621.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*j + 2*c - 32 = 23*j, 0 = -4*c + 4 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4*g - 18 = 0. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, b: 1, r: 1, u: 1, m: 1}. What is prob of picking 1 m and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, -58.4, 0, -90\/37, -4, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*a**2 + 3*a**3 + 8*a**2)*(2*a - 3*a + 0*a) + a**4 - 2*a**4 + 2*a**4 + (-2*a**2 + 0*a**2 + 0*a**2)*(0 + 3*a**2 + 0).\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -12*g - 5. Let v = -4 + 7. Calculate the remainder when a(-2) is divided by 17\/3 + (-2)\/v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n**3 + 13*n**2 + 10*n + 3. Calculate k(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -278 + 292. Suppose -4*f + 12 = t, -u*t + 10*t - 2*f + 34 = 0. Calculate the remainder when 15 is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 4*c**2 - 5*c + 4. Let s be b(5). Let l = 6 - s. Let x be (-74)\/(-4) - 1\/l. What is the greatest common divisor of x and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.1 - -2446.\nAnswer: 2448.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -124 - 2013101?\nAnswer: -2013230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 10:51 PM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1377 + -756. Let z = j - 258. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**4 + 0*a + 0*a + (-2 + 2 - 2)*(-a**4 + 2*a**2 - 2*a**2) + (-4 + 4 - 2*a)*(-2*a**3 - 3*a**3 + 3*a**3).\nAnswer: 8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4151720 and 17615?\nAnswer: 1355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**2 - 9*k + 114. Let w be c(16). Is w < -543?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05*-0.69449\nAnswer: -0.0347245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 13*m - 11. Let g be w(-12). Let p = -57 + g. What is p rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**2. Let m(r) = -9*r**2. Give m(a(k)).\nAnswer: -36*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(2448) + -2 + sqrt(2448) - (6*(sqrt(2448) + sqrt(2448)*-2))**2.\nAnswer: -88128 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -2\/5 (c) 8456 (d) -0.2 (e) -4 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13880 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i**3 + 5*i**3 + 1235260 - 12*i**3 - 488061.\nAnswer: i**3 + 747199","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45598 or 44960?\nAnswer: 44960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k + 21196 - 2*k - 43807 - k + 22611 - 2*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 788118 - 667334 = -25*o. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/(-12))\/((-7080)\/125856 - (-6)\/114). Solve -190*k + 48 = -v*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 3)*(-7*g + 4*g**4 + 7*g) + 37*g**2 - 37*g**2 + 12*g**4 + (2*g - g + 0*g)*(3*g**3 - 4*g**3 + 3*g**3).\nAnswer: 22*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w - 11. Let z be m(8). Let g(d) = 4*d + 4. Let p be g(z). Let f = p + 13. Solve 9 = 3*y - f*b, -5*y + 3*b = 6*b - 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265281 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -9) + -1 + (-14 - -17 - -15)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 5*u + 3. Let v(w) = -w**3 + 4*w**2 - w. Let z be v(3). Let j be y(z). Let a(i) = 3*i + 58 - 58. Let b(r) = -6*r. Give j*a(t) + 5*b(t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, m: 3, p: 5, n: 1, s: 2}. What is prob of picking 2 m?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4021 (base 7) in base 3?\nAnswer: -1220101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3149449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s**2 - 19*s + 15. Give i(-4).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5607803\/216 + -25962. Calculate the common denominator of h and -89\/72.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**4 - 3*c**4 + c**4 + (3 - 4 + 0)*(-c**4 + 0*c**4 + 4*c**4) - 4*c**4 - 4*c**4 + 4*c**4 + 0*c**4 + 2*c**4 - 3*c**4)*(-4 + 1 + 1).\nAnswer: 14*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*v - 10*v - 10*v - 6*v - 9*v - 8*v.\nAnswer: -14*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/36 and -1\/3798.\nAnswer: 7596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82790138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5152521\/36174008 + -1\/210314. Find the common denominator of c and -67\/774.\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1035.821+-0.6\nAnswer: -1036.421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 337*z + 3 = 339*z + j, -4*z + 4*j = -24. Solve -15*p + z*y = -19*p + 14, -3*p - 3*y + 9 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mytlmmytylmllmltl. What is prob of picking 2 m and 1 y?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = q - 3656. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-357)\/(-112) + -3)*20\/30 + 8323\/232.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 403718047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/3*-1*(-3)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001867 to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 5:04 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*y + 3797 + 28657 = 0. Does 49 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-8)*((a**(2\/19)\/a)\/a)\/a*a*(a**1)**26)**38 assuming a is positive.\nAnswer: a**1258","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 7) to base 10\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -126b096?\nAnswer: 126b091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*r + 8. Let f = -73 - -71. Let b be f - 5\/(25\/r). Is b > -1\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -29 (b) -1.5 (c) -0.02 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4*s. Let n(z) = -70*z**2 + 53*z. What is c(n(j))?\nAnswer: 280*j**2 - 212*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -191545 - -191601.0595. Let y = v + -56. What is y rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.3, 1\/3, -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 2) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0122, 0.5, 0.7 in descending order.\nAnswer: 0.7, 0.5, 0.0122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oov when three letters picked without replacement from {v: 3, o: 12}.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40*a**5 - 6*a**4 + 931*a**3 + 605470*a - 18.\nAnswer: 800*a**3 - 72*a**2 + 5586*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1274 + 170. Calculate the highest common divisor of l and 152.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 - 17. Let z be (-1)\/t*8 + -59. Let x be z\/(-14) - (-9)\/(-6). Solve 4 = x*a + a, 4*v - 10 = -2*a for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 28*h**2 - 40*h + 417. Is 10 a factor of i(35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.05 and 14.74.\nAnswer: 14.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 - 18. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1027, -2203, -3351, -4471?\n\"Answer: 14*q**2 - 1218*q + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -59. Suppose 2*h + 2*h = 3*l - 45, -5*h + 3*l - r = 0. Is -12 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17.21? (a) 0.5 (b) -0.4 (c) -1\/3 (d) -0.27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 597 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 464, 467, 472, 479, 488?\nAnswer: 499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/71173311 and 10\/21159633.\nAnswer: 782906421","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 54878 = 14*t, t - 10 = -17. Does 22 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*((-5)\/(-10) + -1). Let k(o) = 40*o + 4. What is the units digit of k(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1983*j**3 - 4495*j**3 + 1632*j**3 + 2*j**3 + 0*j**3 + 0*j**3 + (3*j**2 - 2*j**2 - 3*j**2)*(-3*j + 2*j - j) - 1 + 1 - 2*j**3.\nAnswer: -4842*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 3*a + 5*y + 46, -3*a - 46 = -4*y. What is a rounded to 0 dps?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -3 + -13 - -18 - -15.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1356 - -1500) + 3 + -81?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 742129681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-70)\/28*2*(1 - 1 - -1). Put t, 4, 3\/32, 3 in increasing order.\nAnswer: t, 3\/32, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 44\/3 - 2 - (-960)\/720. Which is the nearest to 1? (a) 3\/7 (b) -36\/5 (c) -3\/2 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of 2*i**3\/3 - 13*i**2\/2 - i. Differentiate c(x) wrt x.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of m**3\/6 + 45*m + 40. Let l(w) be the first derivative of a(w). Let i(n) = 10*n**2 + 2. Determine l(i(z)).\nAnswer: 10*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.18914, 0.3, 0, 2, 1\/9?\nAnswer: -0.18914","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of n**6\/10 + 4*n**5\/15 + 7*n**2 + 21. Let r(m) be the second derivative of t(m). Find the third derivative of r(k) wrt k.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -21 - 0) + (-26 + 40 - 22)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n. Let w be (-3 - 0)*240\/(-18). Suppose 0 = s + 3*m - 10 - 9, -5*s - 4*m + w = 0. Let d(f) = 275 + s*f**2 - 275. Give j(d(l)).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-13)\/((-351)\/174) + -6. Sort 5, l, 3\/4, 0 in descending order.\nAnswer: 5, 3\/4, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -114*h + 685. Give x(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 245 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -2?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33446 + 65*s**3 - 16723 + 16*s**2 + 2*s - 16723 to the form f*s + c*s**3 + j + z*s**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 344*d**2 + 6. Let l(a) = -345*a**2 - 4. Give -3*l(u) - 2*m(u).\nAnswer: 347*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 1 + 9. Suppose 0 = j + 2*y - 10, o*j + 8*y - 3*y - 24 = 0. Suppose -7*s = -j*s - 20. Solve -s*a + a = -9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + ((sqrt(1377) + -1)*-2 - sqrt(1377) - sqrt(1377)) + ((sqrt(1377)*2 - sqrt(1377)) + 4 - sqrt(1377)) + -2*(-2*sqrt(1377) - sqrt(1377)))*1)**2.\nAnswer: 180*sqrt(17) + 5533","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 + 23.81. Let o = 0.11 - n. Let v = 0.2 + -4.2. Which is the third smallest value? (a) -0.5 (b) o (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 250249299 to the nearest integer?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*y - 3 + 3)*(-y - 4 + 4).\nAnswer: 47*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1097 + -1095. Let x(l) = -l**3 - 26*l**2 - 24*l + 28. Let o be x(-25). Let -4\/5 + 8\/5*f**o - 14\/5*f + 2*f**u = 0. What is f?\nAnswer: -2, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -51 and 0.11.\nAnswer: -5.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/91*50700\/130?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25.73 * -273389.\nAnswer: 7034298.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62 + 10. What is the highest common divisor of m and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -133, -202, -273, -346, -421?\nAnswer: -498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -1102?\nAnswer: -1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10*63\/(-420))\/(6\/10)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 320578 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.06 (b) 2\/45 (c) -2 (d) 4 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.13 + -5.13. Let t = -14.6 + 1.7. Let y = 13 + t. Which is the closest to y? (a) 2\/13 (b) o (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 7*n - 144 = 0. Let c(b) = 18*b - 264. Let k be c(16). What is the highest common divisor of k and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1392 and 566892.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(75) + -1)*6 + 4 + 3 + sqrt(300) + sqrt(300) + -1*sqrt(300))**2.\nAnswer: 560*sqrt(3) + 4849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 16, 38, 68, 106?\n\"Answer: 4*s**2 + 10*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 5 + -1 + -1. Let s(t) = 0*t - m*t + 3 - t + t**2. Let x(q) = 2*q - 2. Let n be x(3). Give s(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -4*l - 36, 1279*l - 5*p + 5 = 1274*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -7. Let k = -5 + t. Solve k = -3*l + 12 - 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 c when four letters picked without replacement from cccoooocco?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-3 - (-1 + -10)) - (6 - 11).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w**2 - 1287*w - w**2 + 354*w.\nAnswer: 3*w**2 - 933*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 1. Let y(s) = -2*s - 349. Give -3*u(b) + y(b).\nAnswer: -2*b - 352","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -1 - 3214166*d + 247500*d + 4. Let h be b(-6). Let p be -1 - 1 - h - -1. What is p rounded to the nearest one million?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/5 (b) -5 (c) 17 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c**2 + 215*c - 344. What is the least common multiple of (-2)\/3 + 248\/12 and o(52)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 4*q)*(1 + 5 - 4)*((5*q - 2*q - q)*(-4 + 32 + 25) - 3*q + 4*q + 2*q).\nAnswer: -872*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -72333171235 - -3.\nAnswer: -72333171232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 51\/8 of a week?\nAnswer: 1071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 3*u = 18, -93*u + 96*u + 18 = -3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 575.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33765?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z + m - 672 = -20*z, 10*m = -4*z + 510. Let x(p) = p**2 + 2*p - 8. Let f be x(-7). Calculate the highest common factor of f and z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 84951?\nAnswer: 4\/84951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 + -17. Suppose 0 = 5*z + 2*s - 27, -3*z = s + 5 - 21. Solve -y*b + z = -b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 h when two letters picked without replacement from {h: 11, z: 9}?\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - -1)\/((-6)\/(-24)). Suppose -33 = -5*m - i. Let f(q) = -q - 2. Calculate f(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1938, 1, -0.1, 6, -135, 1\/3 in descending order.\nAnswer: 6, 1, 1\/3, -0.1, -135, -1938","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 168858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1343669 to the nearest integer?\nAnswer: 1159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1791 a factor of 179937056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13462196 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of n**8\/1890 - n**7\/3780 - n**3\/2 - 4*n. Let b(q) be the second derivative of z(q). Determine h, given that b(h) = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/5 + 9*b\/5 + 18\/5.\nAnswer: (b + 3)*(b + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 153 - 90. Suppose 189 = 3*w - 2*t, w + 6*t - q = 3*t. What is the remainder when w is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 1722*j - 70525. Determine i(40).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 538*f**3 + 162*f**3 - 853*f**3 + 154*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*r**4 - 21*r**3 - r**2 + 72*r + 23.\nAnswer: 36*r**2 - 126*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1324*n - 50604 - 85858 = -41134 for n.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/12 - -3 - (-22)\/(-6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**2 + 2*t**2 - 3*t**2 + (2*t**2 + t**2 - 2*t**2)*(-121 + 37 - 110)*(4 - 1 - 2).\nAnswer: -196*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -3. Suppose -f = s*f. Let n = 11 - f. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2361808 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1030 by 206.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 134513413 (base 6) in base 4?\nAnswer: 22132222101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208*k**2 + 187*k**2 - 395*k**2 - 1706*k**3.\nAnswer: -1706*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -190 or -192?\nAnswer: -190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -19. Let w be (63\/y)\/(1\/6). Solve -w = 5*h - 7 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -96458, -385189, -866410, -1540121?\nAnswer: -2406322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2479?\nAnswer: 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) 4 (b) -2\/5 (c) -2 (d) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*((-8)\/(-3) - 2). Suppose -a + 28 = 2*a - c, -v*a + 3*c + 29 = 0. What is the remainder when 19 is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eleven tenths of a microgram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 7) to base 4.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 716954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -187 - -351. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**4)\/a**6)**(-24\/5)*((a\/a**(1\/4))\/a)**(2\/143)\/(a\/a**(-2\/9)*a**(-2)) assuming a is positive.\nAnswer: a**(71741\/12870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w - 7. Let p be (-2)\/(-4)*2 - 18. Let v(s) = -6*s + 15. Let q(z) = 6*z - 16. Let f(y) = 5*q(y) + 4*v(y). Give p*c(k) + 6*f(k).\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1386100 is divided by 17326?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 96.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/60 and -103\/17629700?\nAnswer: 52889100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 4*h + 6 + 10, c + 6 = -3*h. What is the highest common factor of 18 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 530 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 772*m - 385305. Give z(499).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -296710 + -1.9.\nAnswer: -296711.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/35 (b) 0.5 (c) -0.01 (d) -0.3 (e) -18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/(-21) + (-6903)\/(-2709))\/(9\/9).\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 1:49 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c**2 - 34*c - 398. Determine y(-8).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2185448, 2185409, 2185370, 2185331, 2185292, 2185253?\nAnswer: 2185214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 44943*t + 5275. Let j(g) = 428*g + 50. Calculate -2*c(r) + 211*j(r).\nAnswer: 422*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 13 + 98. Let h(y) = y**2 + 18*y + 22. Let s be h(u). Solve 0 = -s*o + 3*o - 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 29686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4669088 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18.33 + -17.5. Let w = 0.829545 - t. What is w rounded to 5 decimal places?\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 44, 242, 592, 1100, 1772?\n\"Answer: s**3 + 70*s**2 - 19*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 338899, 338831, 338763, 338695, 338627, 338559?\n\"Answer: -68*l + 338967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 4*l - 206 = 3162, q - 4*l = 664. Suppose 0 = -8*w + w - q. Let x = -14 - w. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.019 + -0.181. Suppose f + f - 2 = 0. Let c be 2 - (-27)\/(-11) - -1. What is the nearest to f in c, o, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of v**6\/120 - v**5\/60 + v**4\/24 - 7*v**2. Let g(x) = -4*x**3 + x**2 - 2*x + 2. Calculate g(f) + 2*m(f).\nAnswer: -2*f**3 - f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**4\/4 - 79*d**3\/4 + 1763*d**2\/4 - 9621*d\/4 + 3969\/2 = 0. Calculate d.\nAnswer: -98, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3*p - 52 = -12, 3*p = -5*j + 10. Let v be 1\/((-19)\/4 + j). What is the second smallest value in -3\/2, v, 16?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7400 is divided by 200.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**2 + 2*n**3 - n**2 - n**3 + n**3 - n**3 + (-n**2 + 0*n**2 + 3*n**2)*(3*n - 5*n + 4*n) + (2*n**2 + 3*n**2 - 4*n**2)*(-2 + 2 - n).\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 5 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, 0.44, 8\/5, 2\/3 in decreasing order.\nAnswer: 59, 8\/5, 2\/3, 0.44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 2 = 2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3038 + -410. What is the hundreds digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/10488 and -85\/14?\nAnswer: 73416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 386078, 772084, 1158090?\nAnswer: 1544096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (455 - 475 - (1 + 9)) + 11?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from taaaaataaaaa.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**2 - b. Let y be n(2). Let l be (y\/(-10))\/(5\/(-25)). Suppose 0 = 3*p - 5*s - 476, s + 473 = l*p - s. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6742 - -11989. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20031222 + 2330230?\nAnswer: -11100332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -75 - 28?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {x: 18, n: 2}.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*a - 4, 4*a + g - 4*g - 8 = 0. Let b be 35\/50*-1 - a\/(-4). Which is smaller: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 - 116*g**2 + 384*g.\nAnswer: -4*g*(g - 3)*(g + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**2*l*p**3 + 42048*j**2*l*p - 57*j**2*l + j*p**3 - 450*l*p**2 - l + 54739*p**3 wrt j.\nAnswer: -4*l*p**3 + 84096*l*p - 114*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9417 + 9552.49. Let q = j + -1.49. Let a = q - 133.99999874. Round a to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 5*z**2 + 2*z - 6. Suppose 5*x + 0*k = 5*k + 55, -49 = -3*x - k. Calculate the smallest common multiple of q(5) and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 + 5 + 0)*(-n + n - 7*n) + 7 - 6*n - 7 + 0*n + n - 3*n)*(n**2 - n + n) in the form d + k*n**3 + y*n + t*n**2 and give k.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-77)\/(-7)*(-38)\/209\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2612615 (base 7) to base 12\nAnswer: -1445a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 g when two letters picked without replacement from xaigiazaxxaiiaaaig?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 157*y - 2900. What is z(20)?\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ljooodojddjoooojjj. Give prob of picking 1 d and 1 o.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 321178 bigger than 321169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -c**3\/3 - 4*c**2 - 5*c + 1. Let d be y(-7). What is the nearest to 0 in 2\/7, 0, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12035088223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 25*a**2 - 72*a - 874. What is the remainder when m(-26) is divided by 34?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -95*s - 1525. Give d(-17).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of 2*t**3\/3 + 3*t**2\/2 + 21*t. Give b(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 61 = -2*p - 268, 0 = 5*p + 3*b + 809. Let f be (39\/1)\/((-96)\/p). Calculate the highest common divisor of f and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10 and 55249767.\nAnswer: 552497670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/2, 3, -4, 38, 1.91, 0.3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + k = 11, 3*y - 2*k - k + 3 = 0. Suppose -2*s - 8 = -c, y*c + c - 2*s - 8 = 0. Suppose c*r = 3*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 -436870*j - 4929 = -436777*j for j.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -8*k + 54. Let j be c(16). Let f = j + 76. Let p be (4 - 5)*(-3)\/(-38)*f. Which is greater: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-3572)\/(-5358))\/(1\/9*-4))\/((-3)\/88)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -q - 11, 0 = 10*m + 8*q - 12*q - 24 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 4*n + y + 31, 15*y = 800*n - 805*n + 44 + 10 + 1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 56045975087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + 0. Let p = h - 1. Suppose -2*t + 3*n + 7 = 0, 3*t + 5*n + 6 + 12 = 0. What is the third smallest value in p, 4, t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/11 (b) -10318 (c) 0.109\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*b = -3, 4*a + 4*b - 12 = 7*b. Let n be 4 + -1 + (3 - 5) + -1. Solve n = -2*m + a*c + 1, 0 = 6*m - m - 2*c + 14 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6536, -13001, -19410, -25763?\n\"Answer: 28*y**2 - 6549*y - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 127*u - 90. Let o = 8 - 5. Solve o*g + 6 = -u for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-10)*(17 + -32). Suppose -z = 2*y + 2. Let j(r) = -6*r + 5. Let o(x) = -9*x + 13. Let l(c) = 1. Let m(d) = 6*l(d) - o(d). Determine y*j(v) - 5*m(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4*l + 1 = -2*l, 0 = 5*g - 2*l - 23. Let t(m) = -m + 6. Let n be t(3). Calculate the highest common divisor of g and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4 - (-3 + (-556)\/80) and -73\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xshaa. Give prob of picking 1 h and 3 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h**2. Suppose 1 = f - 9. Let u = -534 + 538. Let a(z) = -f*z - 2*z + u*z - 7*z. Determine a(y(g)).\nAnswer: 45*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a**3 + 6*a**2 + 14*a + 7. Let n(h) = h**3 + 1. Let c(w) = -2*n(w) - z(w). Let f be c(8). Let p(l) = -l**2 + 8*l. Calculate p(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -14*r**2 - 3*r**2 - 5 - 2 + 5*r**2. Let u(m) = 110 + 80 + 11*m**2 - 184. Give 5*l(h) + 6*u(h).\nAnswer: 6*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f**3 - 77805*f**2 - 155515*f + 1166925 = 0. Calculate f.\nAnswer: -15559, -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g - 751 = -759 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (66 - (1 + 0 + -1 + -1)) + 30044 + -30038\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*f + 1570 - 471 = -4*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - l - 5 + 3)*(-3*l + 2*l - 2*l) - 14*l**2 - 12*l**2 + 21*l**2.\nAnswer: -2*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjlqmjjjjjtjj. Give prob of picking 1 t and 1 q.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 times 653861?\nAnswer: 10461776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 162833657187.\nAnswer: -162833657192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -21*i + 9*i - 5. Let k = -48 - -41. Put 3, k, 1, i in increasing order.\nAnswer: k, 1, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -14*o + 1. Let d be 1 - 0*2\/4. Let k be a(d). Let z = k + 25. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1500 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 76*d - 14. Let h be w(13). Let v be h\/4*20\/2. Suppose 0 = 3*o + v - 515. What is o rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.1 - -2.9. Which is the closest to 1\/5? (a) -2 (b) d (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.713338 nanograms in micrograms?\nAnswer: 0.002713338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15\/334 or 0?\nAnswer: 15\/334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5 + 0.1. Let i be 1\/(-2)*(-10)\/(-1). Let x = -76770\/179179 - 3\/25597. Sort i, x, 2, u in descending order.\nAnswer: 2, u, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -14*h + 3. Let b(i) = -9*i + 2. Let n(y) = 5*a(y) - 8*b(y). Suppose r - 19 = 6*r + z, -5*z = -5. Let g be (2\/(-4))\/(2\/r). Determine n(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.034, -73079\/7, 2?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11 (b) 8\/2605 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3268 = 4*w + 983, u - 5*w = 1428. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -23*f**3 + 175*f**2 + 265*f + 229. Calculate u(9).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m**2 - 4*m**2 + 5*m**2 + (m - 5*m + m)*(-1 + m + 1) + 70 - 8*m**2 - 70 - 3*m**2 + 4*m**2 + 0*m**2 - m + m**2 + m to r*m + a + v*m**2 and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1513 is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**16*u))\/u**(2\/19))**(-1) assuming u is positive.\nAnswer: u**(306\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of 3\/4*x**4 - 2*x**2 + 0 + 1\/20*x**5 - 2*x + 0*x**3. Let s be z(-9). Which is the biggest value? (a) 0.4 (b) -2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13272)\/(-11613))\/((2*1\/(-36))\/(18\/(-27))).\nAnswer: 96\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 4*t - 26, -38*c + 43*c = t - 16. Let k(q) = -q**2 - q + 31. Determine k(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1318152.\nAnswer: 2, 3, 11, 4993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 50791922 a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 9 + 39. Let o = -5 - u. Calculate the greatest common divisor of 55 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.757 + 5.59. Is v not equal to -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 710, 1419, 2128, 2837?\nAnswer: 3546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -82 (base 10) to base 16\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -30*h**3 + 6*h**2 - 6*h - 13. Let k(w) = -w**3 + w**2 - w. Let a(y) = -6*k(y) + s(y). Differentiate a(u) wrt u.\nAnswer: -72*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2191 (b) 0.4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/9 (b) -0.365 (c) -6\/17 (d) -129 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g**2. Let h(m) = 566 - 1134 + 568 - 135*m**2. Determine h(t(i)).\nAnswer: -1215*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 3*w = 4*w - 1, -5*t = -3*w + 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 41 = -0*v + 5*z, -4*v - 122 = -2*z. Let r = 24 + v. Let n = -5 - r. Solve -10 - 2 = n*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3113*a + 9304. Determine s(-3).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j**3 + 2*j**2 - 3*j. Let f(i) = 3*i**3 - 3*i**3 + 4*i + 2*i**3 + i**2 - 6*i. Let a(k) = k**2 + 8*k - 4. Let m be a(-8). Give m*f(z) + 3*r(z).\nAnswer: z**3 + 2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 619330051?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r + 0 = 72 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7 and 0.4778.\nAnswer: -0.33446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 + -251.\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 12:18 AM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*a - 3 - 2*a**3 + 3 - 12*a in the form q*a**3 + g + n*a**2 + y*a and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**13\/i*i*i**(-2\/17))\/(i**(2\/49)\/(i**6\/i)) assuming i is positive.\nAnswer: i**(14862\/833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o. Let c(q) = 133*q**2 - 6*q - 2. Determine a(c(y)).\nAnswer: 266*y**2 - 12*y - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*q - 10134 = -9606 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 147700, 590973, 1329764, 2364073, 3693900, 5319245?\nAnswer: 7240108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -101325*j**2 + 202651*j**2 - 101326*j**2 - 16372*j**3 + (j**2 + j**2 - 3*j**2)*(1 + j - j - 2*j).\nAnswer: -16370*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 59*l**5\/15 - 162*l**2 - 1. Let b(j) = -j. What is s(b(d))?\nAnswer: 236*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -4*p**7\/105 + p**4\/12 - p**2\/2 + 9*p. Let g(u) be the first derivative of i(u). Find the second derivative of g(n) wrt n.\nAnswer: -96*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (30\/6 - 8) + 3*-4. Let u = x + 19. Suppose -7 = -b + u. What is the smallest common multiple of b and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*k**2 - k - 6*k**2 + 0*k**2 to the form c + h*k**2 + i*k and give h.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 6*u - 82. Suppose u + 44 = 2*o. Calculate the remainder when 94 is divided by o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13159\/8 - 724021\/440. Find the common denominator of r and 71\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 2:18 PM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/(-4) + 1029\/28.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4 + 16 = 0. Let z = b + 3. Let v(d) = 0*d - d**2 + d + 2 + z. Determine v(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 337.2 - 337. What is the closest to 0.1 in -0.13, o, -0.1, -1\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2782259?\nAnswer: 47, 59197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.237 * 183\nAnswer: -43.371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of 0*h**2 + 31 + 0*h**4 + 0*h + 70\/3*h**3 - 4\/5*h**5 + 4\/7*h**7 + 0*h**6. What is the third derivative of a(l) wrt l?\nAnswer: 480*l**3 - 96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1112081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 223872 and 795?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 5, a - 5*d + 19 = 3*a. Solve m + 11 = 5*m - 3*q, a = -2*m - 2*q for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -s**2 + 0*s**3 - s + 24 + 1\/2*s**4. Let b(w) = w**3 - w**2 - w - 1. What is -b(l) + t(l)?\nAnswer: l**3 + l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0*z**(-4))\/(z\/((z*z*z**(-2)*z*z)\/z)*z\/(z\/(z\/z**(-4\/5)))) assuming z is positive.\nAnswer: z**(-29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-1)*(-3)\/(-2). Solve v*m + 4*f = 0, -6*m + 4*f = -m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 6*w. Let f(s) = 9157*s**2. What is f(p(q))?\nAnswer: 329652*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 0)\/(3 + 0). Is -2 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24524, 98012, 220478, 391910, 612296, 881624, 1199882?\nAnswer: 1567058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8408 is divided by 2030.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*q + 5*v = 32*q + 9520, 3811 = 2*q - v. List the prime factors of q.\nAnswer: 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3362399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5*z - 95 = 0, 0 = -6*y + y + z + 107. Solve -y*f - 81 = 6*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 371 and 2014.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v - 4*v - 2800. Let k = v + 361. Let y(m) = -m**3 - 3*m**2 + 6*m + 1. Calculate the remainder when k is divided by y(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33\/32 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -40 in 1\/12, 6, -374, 18, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1063*c - 1870*c + 938*c)*(2*c - 2 + 2) - c**2 + c**2 - 5*c**2 in the form s*c**2 + r + g*c and give s.\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -214*l**4 + 8041*l**3*x**2 - 62*l**3*x - 450061*l**2*x**2 + l**2*x - 11*l*x**2 + 5*l - 2*x**2 wrt l?\nAnswer: -5136*l + 48246*x**2 - 372*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*3*((-7072)\/224 - -32).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19 * 2608054.8.\nAnswer: 49553041.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -1\/37 (b) -0.5 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 195.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -l + 7 + 4, -5*l + 3*m = -19 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 36 + 749642?\nAnswer: 749678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/48 and 109\/852.\nAnswer: 3408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163*m + 41*m + 994451 - 248423 = 0. Is -3657 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 divided by -152?\nAnswer: -20\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -14.3 and 82509.75?\nAnswer: 82524.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*u - 67*u - 2420 = 100*u for u.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2 + 4*i + 3. Let t be -1 - (-3 + 1) - 3. Let o be m(t). Factor -9*g**3 + 3*g**2 + 0*g**2 - g + 9*g**4 + g - o*g**5.\nAnswer: -3*g**2*(g - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (-15 - -1)\/(-2). Let g be -10*6\/5 + 7 - -1*8. Put v, 0, g, 1 in ascending order.\nAnswer: v, 0, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 + -28 - (-12 + 5 + 28)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 17 = 3*y - 11, 0 = -y + 2*r - 4. Solve -y*i = -3*i - 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9617341.\nAnswer: 151, 63691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(1\/((-1)\/(-1))). Let c be (36\/15 + -3)\/(9\/(-30)). Suppose g = -c*d - 0*d + 190. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*j**2*k**3 + 27*j**2 + 3*j*k**3 + j*k**2 - 5*k**3 wrt j?\nAnswer: 18*k**3 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w - 30. Give h(19).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 11. Suppose 0 = -5*h + 3*f + 470, 0 = 5*h + 3*f - 136 - 304. Let z be 6\/8 + 3\/(84\/h). Solve -z*p = -a*p - 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 457*u**4 - 4*u**2 - 2 - 459*u**4 + 0*u**3 + 0*u**3 - u to g*u**4 + q*u**2 + i*u + a*u**3 + m and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*l + 322*l - 7148 = -5*l - 33300 for l.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = 15*g + 1645. Let s be 569\/9 + g\/45 + 5. What is the highest common factor of s and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -346047 - 0?\nAnswer: -346047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -99*i + 5. Let p be b(-1). Let z(k) = 2*k**2 + 6*k + 6. Let d be z(-5). Calculate the highest common divisor of p and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - n. Let v(q) = -q**2 - 7*q + 3. Let m(l) = 4*i(l) - v(l). Let k(b) = -5*b + 2606*b**2 + 5 + 2589*b**2 - 5205*b**2. Give 3*k(y) + 5*m(y).\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 95\/30)*(-21)\/14.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -11*o**2\/8 - 25*o\/8 - 3\/4 = 0. What is o?\nAnswer: -2, -3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2121210 - 1020?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1548 = 184*q - 98*q for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 41*p - 5. What is the hundreds digit of x(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36512 and 77588?\nAnswer: 620704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28\/3*a + 196\/3 + 1\/3*a**2.\nAnswer: (a + 14)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 1:17 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j - 48 = 11*j - 4*t, 2*t = -4*j + 38. Suppose 3*b - j = 5*y + 31, -4*b - 5*y = -4. Solve 4*z + b = v - 9, 2*z + v + 9 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20b0 (base 13) to base 7\nAnswer: 16141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.163538633 and -16.46?\nAnswer: 16.623538633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -6*o + 70. Let w be k(11). Let f = -9 - -18. Determine p so that -3 + 3*p**2 - p**4 + 9*p - 3 + 4*p**w - f*p**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 g when three letters picked without replacement from {q: 6, x: 4, h: 2, o: 2, g: 3}?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**2 + 4*i**2 - 4*i**2 + (5*i + 4*i - 4*i)*(4 - 4 - 5*i) to u + z*i**2 + q*i and give z.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*q + 3*u, -2*q + 9*u - 4*u - 9 = 0. Suppose -5*t + 0 = -q*w - 5, 0 = -2*w + 4*t - 2. Let i = w - -9. Sort -3, 0, i in increasing order.\nAnswer: -3, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1497 and 37443\/25 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 93, 4, -4\/65?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.66 take away -10.159777?\nAnswer: 11.819777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 70, 115, 190, 295, 430, 595, 790?\n\"Answer: 15*z**2 + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 214 minutes before 10:08 AM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 10883.2 - 10883. Sort -0.2, -1316, k in descending order.\nAnswer: k, -0.2, -1316","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 253 divide 1281445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 328880000 to the nearest one million.\nAnswer: 329000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 4:02 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5*5*(6*1*sqrt(700) - (sqrt(700) - -1*sqrt(700)*3))**2 + 4)*2.\nAnswer: -140008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(3\/63*3). Let p be -2 - (2 + -4) - 5. Let m = p - t. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 + 1420*u - 8700.\nAnswer: 5*(u - 6)*(u + 290)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -9b8 (base 13) to base 6\nAnswer: -11424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/382 and 26\/103305.\nAnswer: 39462510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -158347*d*r**2 + 4*d*r - 2551*d + r**3 + 4*r - 1809 wrt r?\nAnswer: -316694*d*r + 4*d + 3*r**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 12 = -3*o, 5*j - 3*o - 172 + 178 = 0. Let g(u) = -2*u**2 + 2*u + 1. Let v(n) = -2*n**2 + 0*n**2 + 4*n**2 + 2*n - 4*n. Calculate j*v(i) - 2*g(i).\nAnswer: -2*i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/7770 and -43\/12432?\nAnswer: 62160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*(-2 - 3\/(-2)). Suppose -q - 4*m + 821 = p, -4*q - m - 2*m + 3284 = 0. What is the third derivative of 821*y**3 - 7*y**2 - q*y**3 + 27*y**6 wrt y?\nAnswer: 3240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 34.4 or -56.4?\nAnswer: 34.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ammuajqqaqmqzaa. What is prob of sequence qzu?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*w + 2*h, -4*w + 2*h - 7*h = -41. Solve s - 18 = w*j, -4*s - 2 = -5*s for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 6 + 2*s + 2\/3*s**3 + 3\/2*s**2. What is the tens digit of t(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b + 1666 - 1647 = -5*p, 0 = -3*b + 5*p + 11 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1250)*-3*-4 + -2)**2.\nAnswer: 1200*sqrt(2) + 180004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 31 = -3*t + 229, -4*r + 5*t + 309 = 0. Suppose 15*k - r = 109. Let l be 17 - (-1 - 0\/1). Calculate the highest common divisor of l and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 4:45 AM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 249, 618, 945, 1230, 1473, 1674, 1833?\n\"Answer: -21*t**2 + 432*t - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + d**2 - 4*d + 1. Let i be b(2). Suppose -2*y - 4*s + 22 = 0, 0*s + 62 = i*y + 3*s. Let t be (-13)\/(-4) - 3\/12. Solve -t*l - y = -4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 1518*a + 122. Is b(14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/20)\/(36\/40*1)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-four fifths of a century?\nAnswer: 10560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001347052 rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8056 - 30?\nAnswer: 8026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (0 - (23 + (-13 - -5))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(3\/(-21)*((-21)\/2)\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*d*p**2*r - 67*d*p**2 + 365*d*p*r**3 + d*r**3 - 3*d - p**2*r**3 + 28*r**3 - 5*r**2 + 1 wrt r?\nAnswer: 2190*d*p + 6*d - 6*p**2 + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 6*l**2 - l - 4. Let v be p(-6). What is the first derivative of -v + 10 - 10*m**2 - 6 wrt m?\nAnswer: -20*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -508 divided by -1?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8 (b) 0 (c) -10\/7 (d) -0.2 (e) 0.125\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(sqrt(33)\/sqrt(3)*2).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10466 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1916 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1070 and 262?\nAnswer: 140170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 10*s - 294. Let u be n(13). Solve u*p - 4*j + 3 = 0, 2*p + 4 = -j - 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -3*c**2\/2 - 4*c + 2. Suppose 0*v + v = -8. Is 20 a factor of u(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101001111000111110 (base 2) to base 6.\nAnswer: 3402210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181*k = 5*o + 184*k - 27047, -4*o + k = -21658. List the prime factors of o.\nAnswer: 5413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m - 31. Let r(c) = c - 15. Let a be r(-9). What is the remainder when o(a) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -569 - -877. Does 18 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000112981542 to 7 decimal places.\nAnswer: -0.000113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34748417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1 + 388*k**3 + 1 + 214*k**2 - 532*k**3 + 0 - 95*k - k**5 + 26*k**4.\nAnswer: -k*(k - 19)*(k - 5)*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - -2)*(-12 + 17). Suppose -2 + 25*k - f*k**2 - 6 + 20*k**4 + 3 - 10*k**3 - 15*k**3 = 0. What is k?\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/7, -4\/7, 1.227, 54, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 41, 8, -67, -196, -391?\nAnswer: -664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 25. Let a(j) = -j. What is l(a(m))?\nAnswer: m**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*p = -20, w + 3*p - 3 = -0. Suppose 5*r - 1 = w*r. Let t be -5 - r - (-20)\/8. Which is the nearest to t? (a) 3 (b) 1\/5 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1041.7225287 to zero dps.\nAnswer: -1042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -51147*d**3*z**3 + 80*d**2*z**3 + d**2*z**2 + d*z**3 + 3*z**3 wrt d?\nAnswer: -306882*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -9. Let x be (-1)\/(-2*1\/r). Suppose 3*h + x = 2*h. Which is the biggest value? (a) 0.2 (b) 3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-8 - 0) + (-6 - 3) + -2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 122369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/35)\/((2\/(-6))\/((-15)\/(-27)))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 74253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = m + 3, -2*u - 2*m = 9 - 3. Let c(a) be the third derivative of 0 - 9*a**2 - 1\/90*a**5 + 0*a**4 + u*a**3 + 0*a. Solve c(g) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 6*m + 1. Let w(j) = -j**3 - j**2 - j - 10. Let r be w(0). Let b = r + 17. Is k(b) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 339451836*i**3 + 182113559?\nAnswer: 1018355508*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-231)\/(-2) - -23*(-8)\/368 is divided by 38.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109186 is divided by 108139?\nAnswer: 1047","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(17))*-5 + ((2*sqrt(119) - sqrt(119))\/sqrt(7))**2.\nAnswer: -5*sqrt(17) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 42 in -1, -2\/7, 0.2, 0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45313 is divided by 33779.\nAnswer: 11534","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 2:50 AM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(5*4\/(-40)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*j + 0 - 6 + 8 + 176*j + 1784*j.\nAnswer: 2072*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8785 - 8785 - 8*o - 9*o.\nAnswer: -17*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r. Let b(t) = 1. Let q(v) be the first derivative of 2*v**3\/3 - 4*v + 4. Suppose -4*y = -7*y + 12. Let c(u) = y*b(u) + q(u). Give c(j(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1959?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.15*-11.395107\nAnswer: -1.70926605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3555 is divided by 221?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, x: 1, j: 2, z: 2, u: 1, a: 1}. What is prob of picking 1 u, 1 i, and 1 x?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 720 + -714. Let h(t) be the third derivative of 0*t + 0*t**3 + 3*t**2 - 1\/10*t**5 + 0 + 0*t**4 + 1\/15*t**j. Find the third derivative of h(y) wrt y.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1687525 and 325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h**4 - 2*h**3 - h**4 + 3 + 5*h**3)*(2 - 2 - 2) as p*h**3 + y*h**2 + z*h**4 + x + u*h and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p - 4. Let r be k(8). Solve r*y - 2*h = 12, 4*y - h = y + 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -13 - 3. Find the first derivative of -3*l**4 + 5*l**4 - 5 - 2*l**4 + 4*l**f wrt l.\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 496236 to the nearest integer?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/1683 and -121\/1530.\nAnswer: 16830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 6*w + 1. Let b be 195\/2*(90\/(-25))\/(-3). Suppose -b*m + 123*m = 36. What is n(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, g: 11, m: 1}. Give prob of picking 2 g and 1 m.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -204 - -211. Suppose -3*p = -4*w + 11, -f*w = -3*w - 20. Solve 0 = 4*t - p*z - 2, 3*z + 1 = -5*t - 10 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 divided by 2679686\nAnswer: -9\/1339843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) 1\/11 (b) 0.1 (c) -0.12 (d) -339 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -17926120.\nAnswer: 17926125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2476\/(-21808)*-29 - 39\/12.\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21\/5 in 2\/3, 20\/3, 1, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2*m - 5*m - 16 = 0, -5*x - 5*m = 0. What is the least common multiple of 10 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/773? (a) 3 (b) 0.2 (c) 5 (d) -28 (e) -1\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + f = -88, -2*d + 5*f + 2 = -174. Solve -b - 90 + d = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18338 rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 210 - 147. Let l = -36 + b. Calculate the highest common divisor of l and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30 - -1055333000?\nAnswer: 1055333030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -84 * -15858\nAnswer: 1332072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -111081 - -111048.0604. Let t = z + 33. Let b = -0.06 + t. What is b rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2269 - -2630. Calculate the highest common factor of 38 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60 - 55. Suppose n = -4*u - 14 - 8, 23 = n - m*u. Do -4\/7 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**3 + 11*p**2 - 5*p. Let h be m(-5). Suppose 51*y - 99 = h*y. Is 22 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of 2*j**7\/21 + 2*j**4\/3 + j**3\/3 + 18*j**2 - 2. What is the second derivative of g(p) wrt p?\nAnswer: 240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.08, -1, 0, 3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -783, -791, -809, -843, -899, -983, -1101, -1259?\nAnswer: -1463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 70694*d + 60. Let v be h(10). What is v rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -4 (b) 2\/43 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**4\/24 + 4*i**3\/3 + i**2. Let s = 35 + -63. Let p = 33 + s. Calculate t(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-134*d**3 + 139*d**3 - 388*d**3)*(-3*d**2 + 0 + 0) + (11*d**2 + 8*d**2 - 7*d**2)*(-d**3 - d**3 + 3*d**3).\nAnswer: 1161*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 30490*h + 12 = 30485*h - 3, 7*b + 3 = -h for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of (2\/4*4)\/(5 - 339729\/67951)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 117232434?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/5*(-215)\/(-172).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, y: 8, m: 4}. What is prob of sequence mmym?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 * 181\nAnswer: -7.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 402000569.\nAnswer: 229, 677, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 288 + -285. Solve -2*i + 5 + 2 = -n*g, -g - 5*i = -9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (3\/5 - (-4)\/(-55)*(-384190)\/(-4120)).\nAnswer: -42\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 7*r**2 - 276*r - 163. Determine g(-13).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -635, -652, -669, -686, -703, -720?\n\"Answer: -17*q - 618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**11\/m)\/(m\/(m**(-1\/14)*m)))\/(m*m\/m**8*m*((m\/(m\/m**5*m))\/m)\/m))**(-32) assuming m is positive.\nAnswer: m**(-2896\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 9*u. Let m(c) be the second derivative of 11*c**3\/2 - 19*c - 10. What is m(q(f))?\nAnswer: 297*f","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 2*a**2 + a. Let u be z(1). Let i be ((-1)\/u)\/((-4)\/(-24)). Suppose 5 = i*k - 1. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55719374 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 2*k**3\/57 - 189*k**2\/19 - 20*k - 2000. What is h in v(h) = 0?\nAnswer: -1, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (381066\/10128 + (-1 - 40))*2\/3?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 4. Suppose -3*n - 4*q + 8999992 = m, 0*q - 2*q = n - 2999996. Round n to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4*d**2. Let t(o) = -o**3 - 5*o**2 + 10*o - 10. Let u be t(-7). Let k(h) = -8*h - u*h + 10*h - 13*h. Give n(k(j)).\nAnswer: -3364*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 17*f**2\/2 + 235. Let i(k) = 2*k - 3. Let s(d) = -3*d + 4. Let p(j) = 4*i(j) + 3*s(j). Determine l(p(y)).\nAnswer: -17*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6486 and 1873702.\nAnswer: 129285438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1008))**2 - sqrt(28).\nAnswer: 22*sqrt(7) + 1009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 89 = -30*x. What are the prime factors of x\/66*-4 - 5350\/(-22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12.9 - -13. Let p = -24 - -23. What is the second biggest value in q, 4\/3, p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.2 or 3806\/199?\nAnswer: 3806\/199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-676976)\/423110*50\/4*(-3)\/10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2758503 - -0.041?\nAnswer: -0.2348503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/((-180)\/8*5\/15)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 - -1. Let a = -7259 + 130621\/18. Find the common denominator of a and (-71)\/b - 6 - (-12)\/4.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3260 (base 12) in base 14?\nAnswer: -2040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 5. Let l(j) = -2*j**3 - 9*j**2 + 17*j - 19. Let o be l(-8). Suppose 0 = 3*n + 245 - o. Solve 0 = 4*i - n, -17 = v - a*i + 5 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3593 - 1648 - 1945 + 8*f.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1693*n - 754*n + 638*n to the form v + c*n and give c.\nAnswer: -1809","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - a**2 + 10*a - 2. Let o be i(-5). Suppose 4*m + 26 = 6*m - 4*d, -m - 5*d + o = 0. Let n = m - 6. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**5 - u**5 + 3*u**5 + (u**4 - 3*u**4 + u**4)*(-u - 4*u + 3*u) + 6 + 2*u**5 + 21*u**3 - 14 + 6.\nAnswer: 5*u**5 + 21*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -484349, -1937385, -4359101, -7749497, -12108573, -17436329?\n\"Answer: -484340*s**2 - 16*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4*v**2 + 6*v - 1. Let f be a(-8). Suppose -2*x = 2*g - 274, 5*g - 378 = -2*x - 107. Calculate the greatest common divisor of f and x.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -167*-222.5.\nAnswer: 37157.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zhz. What is prob of sequence zz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/5))**(-1\/59)\/((t\/(t\/(t*t\/t**5)))\/((t*t**(-4\/3)*t)\/t)) assuming t is positive.\nAnswer: t**(2366\/885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 10:05 PM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4012*b - 11252 = -104 + 54704 + 46484 for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 7*d**2 - 9*d - 5. Let n be x(-8). Suppose -1 = -4*m + 3. Let k be n\/m - (-2)\/(-2). Solve 0 = u - k*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-60)\/(-7))\/5)\/(((-216)\/(-11232))\/(28\/(-32)))?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03542592 to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 82 + -78. Which is the second smallest value? (a) 2\/9 (b) -2\/5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 8 + 8*z + z**2 + 0 + 2. Let k be o(-7). Suppose -k*r + 58 = -5*l, r - l = -3*r + 66. Solve -r = -4*c - 4 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51.7 - -54. Let p = 2.52 - f. Let q = p + 0.26. Round q to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*c = -8020 + 7669 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 89527, -2, 3\/5, -5, -166 in increasing order.\nAnswer: -166, -5, -2, -1, 3\/5, 89527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1153988 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 385 (base 11) to base 14.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 4 + 100 + -118.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1790*l*x - 2050*l + 2*x wrt x?\nAnswer: -1790*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 314 + 196 = 0. What is the remainder when x is divided by 38?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1331778.7 rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 243387050 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -16615, 136, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + -2*1 + -1. Let o = j + 1. Solve -y + 5*y + 12 = o for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 19*b**2 + 87*b - 19. What is q(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m + 46 = 16*h - 14*h, m - 6*m + 4*h - 73 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 284a (base 16) to base 14.\nAnswer: 3a8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -603003 (base 8) to base 15\nAnswer: -3da9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/4 + (-4)\/(-1). Let g(a) = -a**3 + 7*a**2 + a + 10. Let x(z) = -8*z - 233. What is the remainder when x(-33) is divided by g(m)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -92, -255, -408, -545, -660, -747, -800, -813?\n\"Answer: l**3 - l**2 - 167*l + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 138, -1, 91775 in decreasing order.\nAnswer: 91775, 138, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - d - 5*z = 4, 0 = -5*d - 5*z. Suppose -d*v - 947 = 5*k - 3028, -k = 3. List the prime factors of v.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174970\/4*13*32\/1040 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 106704490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*x + 3*x + 34*x)*(-4 + 4 + 2)*(112*x - 7*x + 27*x) to the form l*x**2 + o*x + h and give l.\nAnswer: 13200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*v = 32. Find the third derivative of n + 2*n**4 + v*n**2 + 4*n - 5*n wrt n.\nAnswer: 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.941 + -403.941. Let q = 112 + p. Let o = 290.999807 + q. Round o to 5 dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 292665 and 27.\nAnswer: 2633985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8250.67 rounded to the nearest ten?\nAnswer: 8250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**4\/4 + 91187*a**3\/2 + 45594*a**2 - 91187*a\/2 - 182375\/4 = 0 for a.\nAnswer: -1, 1, 182375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1348 (base 13) to base 11.\nAnswer: -2093","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 14*l**3 + 34 - 33*l + 31*l**3 - 46*l**3 + 33*l**2. Let d be z(32). Solve 12 - 8 = d*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6046 is divided by 55.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-27)\/(-5) - 12\/(-20). Suppose -2*o = -4 - u. Solve -o*i = -i + 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*l - 599 = -184. Solve -l*h = 4*t - h + 24, 21 = -3*t - 4*h for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 15 = 2*a - 9, -3*a + 63 = -3*c. Calculate the highest common factor of a and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 44*n - 28 - 11 - 57 = 156, -2*n = -4*j + 3*n + 46 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w + 1. Let h(u) = -12*u + 4. Let s(g) = 2*h(g) - 7*y(g). What is s(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3870 and 9390.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*p - 15*p - 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56262 or -57677?\nAnswer: -57677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + 0 - (-11 - -10). Let m be (((-2)\/1)\/p)\/(12\/48). Solve 0 = -0*z + 3*z - m*w + 7, -z + 5*w = -5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 476343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 10020?\nAnswer: 10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o**4 - 1898*o**2 - o + 187.\nAnswer: 24*o**2 - 3796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -2. Which is the third smallest value? (a) g (b) 3\/5 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 5*o + 5, 18*n - 2*o + 27 = 23*n. Solve 0 = -n*s + y - 8, -2*s - 3*s + 4*y = 17 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -422610150 rounded to the nearest one million?\nAnswer: -423000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 4*j - 4*n, -4*j + 54*n = 58*n - 20 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*o + 3 - 2 + 25 + 8 - 9*o as x + t*o and give x.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -4*a + 1\/4*a**4 - 7\/3*a**3 - 1 + 1\/2*a**2. Suppose -2*k - 39 = -5*n, n + 5 = 5*k + 22. Give j(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100001111010011 (base 2) to base 4\nAnswer: 10033103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**2 - 118*v + 120 = 0.\nAnswer: -60, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 50 (b) 0.1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 17 and 0.287.\nAnswer: 17.287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31895 + -31894. What is the third biggest value in -432, t, 5?\nAnswer: -432","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d*h**2*o*r - d*h**2*r - 87*d*h*o + 401*h**2*o*r - h*o*r - h*o wrt d.\nAnswer: -h**2*o*r - h**2*r - 87*h*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x + 3*g + 5, -1841*x + 1842*x + 8 = -5*g + 28 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q + 1. Let d = 1832 + -1826. Let z(l) = 2*l + 3 - 3 + 5 - 3. Give d*z(u) - 13*g(u).\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -110449 and -0.4.\nAnswer: 44179.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s**2 - s + 7. Let l(t) = -4*t**3 + 21*t**2 - 25*t + 16. Let p be l(4). What is u(p)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 127\/1 + 5\/5. Does 14 divide ((-2)\/(-4))\/(2\/h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 5\/3, -0.1, -4, -80\/361 in descending order.\nAnswer: 5\/3, -0.1, -80\/361, -3\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.24 + 0.04. Let t = 2.5 + h. Let o = -13\/4 + 3. Sort o, 0.2, t.\nAnswer: o, 0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 75 - -26. List the prime factors of d.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*l**3\/21 + 16698*l**2\/7 - 30064*l\/21 - 6680\/7 = 0. Calculate l.\nAnswer: -5010, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6886829*k**3 + 1303*k**2 - 2*k - 2450.\nAnswer: 41320974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(2673)\/sqrt(3)) - (-5 + (4*sqrt(7)*6)**2).\nAnswer: -4027 + sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2\/2 - 3714*b + 2298966.\nAnswer: 3*(b - 1238)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of x**5\/4 - 17*x**4\/6 - 2*x**3\/3 + 11*x**2\/2 - 17*x + 1. Calculate the remainder when i(7) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -926100 divided by -14.\nAnswer: 66150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4*l + 5. Suppose -15*r - 76 = 14. Let v(j) = j - 1. Calculate r*v(z) - x(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6 + 4 - 0 - -5. Suppose m + 9 = 4*m. Find the second derivative of -j*z**m + 2*z**3 - z**3 + 3*z + z**3 wrt z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) -0.3 (c) -0.5 (d) -1\/46 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 - 9. Let v be (3 - (4 - -23))\/1. Let u = v + n. Is -4\/5 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + q = 12, 0 = 4*q + 4 - 20. Suppose 2*c - 156 = -c. Suppose -2*k - 22 = -w*o, -4*o - 2*k + c = 2*k. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1210110220 (base 3) to base 6\nAnswer: -431340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 3*o + 63 - 43, 40 = -3*o - 5*d for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 74 + -4. Let t be b\/(-21)*(-12)\/10. Solve t*d = 4 + 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 130350 + 70650. What is f rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 3:26 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(35) - sqrt(35))\/sqrt(7) + sqrt(5))*-3*2 + 0)**2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8196 is divided by 294?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2*k**3 - k**3 + 7*k**3 as m*k**2 + y + g*k**3 + q*k and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**6\/120 - i**5\/10 + i**4\/12 - 4*i**3\/3 + i**2. Let m be (-14 + -34)\/12 - -11. Is 11 a factor of h(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 621139.9 centimeters to micrometers.\nAnswer: 6211399000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-8))\/(14*33\/308)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 2, -4, -38, 4 in descending order.\nAnswer: 6, 4, 2, -4, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 f when two letters picked without replacement from {j: 3, u: 10, y: 2, f: 3, s: 1}.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -2*n + 2*d, -4*n + d = 36 + 8. What is the units digit of 2\/((n\/(-33))\/(7*1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 11:36 AM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gmccyeeeeyam. What is prob of picking 2 a, 1 c, and 1 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -1. Let k(n) = 9*n - 2. Let d be k(a). Let z = -11 + d. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0181916us in seconds?\nAnswer: 0.0000000181916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 17369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 4*q + 8 = 0, 4*b + 3*q - 2 = 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 2 - 8. Let l = z + 4. Let a(q) = -l*q**2 - 3*q + 2*q + q. Let h(v) = -v. Calculate h(a(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*p + 72*p = -5*g + 1494, -8 = -2*p. What is the highest common factor of 8 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48353, 48372, 48391, 48410, 48429?\nAnswer: 48448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**8)**(2\/5))**(1\/25) assuming t is positive.\nAnswer: t**(18\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (108\/30)\/(-1)*(-5415)\/(-361).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 112437*f**2 - 165*f + 749. Is r(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*m + 0*m**3 - 14*m**2 + 3*m**3 - 2 - 2*m**3 + 19*m in the form j*m**3 + x*m + h + o*m**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/20*(-68)\/9. Let c = b + 8\/15. Let y = -149\/2 + 76. What is the smallest value in 1\/5, c, y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -12*s - 1. Suppose s*f - 940 = -3*r, 2*r - 10 = -2. What is f rounded to the nearest 10?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171082 to the power of 1\/2, to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*s = 3*v - 2104, -v + 416 = 4*s. Suppose -6*y = -0*y - v. Let m(f) = f**2 - 5*f. Calculate the remainder when y is divided by m(8).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7\/1661 + -1682\/4983. Let q = -3 + 7. Which is the nearest to t? (a) q (b) 0.5 (c) 1 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1167506967?\nAnswer: 3, 11, 83, 426253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-110)\/275)\/((-2)\/(-4))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -148535, -148549, -148563, -148577?\nAnswer: -148591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 + 174*l + 2680.\nAnswer: 2*(l + 20)*(l + 67)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11410103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o + 10. Let v be (-10 - -3) + 9 + -4. Let t(i) = -4*i + 9. Determine v*t(k) + 3*n(k).\nAnswer: -k + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(((-3)\/30)\/(21\/(-84))). Let r(x) = -x**2 - 7*x - 3. What is r(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-6)*1\/6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(30\/(-9)))\/((-36)\/(-4))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/6 + (-106)\/(-6). Let k(p) = 20*p + 6. Let a(v) be the first derivative of 7*v**2\/2 + 2*v - 288. Determine t*a(q) - 6*k(q).\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 2. Let o be v(2). Let y = -10 - o. Let x(s) = s**2 + 2*s + 1. Give x(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1248 is divided by 42?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 0 - 12. Suppose 0 = 14*o - x*o - 8. List the prime factors of (0 + o\/4)*47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1736.518 and -98535?\nAnswer: 100271.518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135\/12 - 55\/44 - -10840?\nAnswer: 2, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 71 or -2.4?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-5\/4)\/((o*o*o\/(o\/(o\/(o\/((o**(-1\/9)*o)\/o*o))*o)*o))\/o)*(o**(-3\/10)\/o)**(-3\/23) assuming o is positive.\nAnswer: o**(-12293\/4140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wg when two letters picked without replacement from gbwg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*n + 482 = 1109 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-4*(-1)\/10). Solve -26 = -2*u + u - m*d, -4*u = -4*d + 16 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -51) + 0 - (24 + 15 + -53 - -17)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 11*s**3 - s**2 + 24*s - 101. Determine i(3).\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 8*q = 0. Suppose -2*s + 6 = -q*s. What is the derivative of -c**3 + 3 + 1 - 6*c**s wrt c?\nAnswer: -21*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*r + 97*r + 100 = 48*r. Does r = -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2. Let l = 2 + -16. Let k(y) = y**3 + 14*y**2 - y - 11. Let p be k(l). Let i(m) = 3*m + 0 - p + 3. Determine i(q(c)).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**3\/7 - 32*b**2\/7 - 122*b\/7 - 132\/7 = 0.\nAnswer: -11, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6915595 divided by 5?\nAnswer: -1383119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.005 * -91.43\nAnswer: 0.45715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r - 6*r + 6*r)*(3 - 5 + 0)*(-5 + 3 + 1)*(-1 + 1 + 1).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 s when two letters picked without replacement from awwasaaawaraswawwwa.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -87*r**3 - 194*r**2 - 12*r - 2. Let m(j) = 84*j**3 + 195*j**2 + 12*j + 3. Let o(k) = -2*m(k) - 3*x(k). Factor o(q).\nAnswer: 3*q*(q + 2)*(31*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 253\/340?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**4*k - 36*b**4 + 11*b**2 + 5*b*k wrt b?\nAnswer: 48*b*k - 864*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -371 divided by -3.\nAnswer: 371\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1091.3 + -1901. Round o to the nearest ten.\nAnswer: -810","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*u - 57 + 27*u + 27*u in the form a + o*u and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/10*((-12)\/(-18) + 1).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -20. Let i(f) = 10*f**3 - 3*f**2 + 2*f + 1. What is the tens digit of i(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/17, -0.1, 0, 1 in decreasing order.\nAnswer: 1, 6\/17, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -p**3\/3 + 3*p**2 - 7*p + 38. Determine g(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(4)\/sqrt(2) - sqrt(2)) + sqrt(8)\/sqrt(4) + 5.\nAnswer: -4*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.01 less than or equal to -0.0564?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231*t = -232*t + 221*t - 7480 for t.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000035157 to six dps.\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -14147*r - 2444. Let a(u) = 440*u + 76. Let y(g) = -1222*a(g) - 38*z(g). Let h(q) be the third derivative of q**5\/15 + q**2. What is h(y(b))?\nAnswer: 35344*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.478, 4 in increasing order.\nAnswer: 0.478, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14370 - -59.89?\nAnswer: 14429.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -w + 3*p, 4*w - 9*p = -10*p + 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 77, -0.4, 0, 0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of 7*i + 1\/5*i**6 - 1\/12*i**4 + 7\/20*i**5 + 0 + 0*i**2 - 15\/2*i**3. What is the third derivative of m(s) wrt s?\nAnswer: 144*s + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 92\/((-184)\/(-30)) - 1032\/68\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/6)\/(190\/(-57)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-8)\/24*30\/4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-five halves of a century?\nAnswer: 27000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000357274229 rounded to 6 dps?\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 o when three letters picked without replacement from {o: 5, k: 9}?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 10*x**2 + 1. Let f be v(1). Suppose 0 = -4*c - f - 1. List the prime factors of (26 - 1) + (-2 - c).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 25, 0, 0.3, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2212008, -2212001, -2211996, -2211993, -2211992?\nAnswer: -2211993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7.2 and 59.\nAnswer: 66.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1573)*2 + 1 + 2*(sqrt(1573) + 0) + -2*(sqrt(1573)*1 + -1)))**2.\nAnswer: 4752*sqrt(13) + 226836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 238, -4, 0.39?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, a: 3, u: 3, y: 3, s: 2, p: 1}. Give prob of picking 1 a and 1 b.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1651753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -174 or -4\/87?\nAnswer: -4\/87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 67870360*v**3 - 40384*v**2 + 80768*v - 80768. Let p(j) = -5042*j**3 + 3*j**2 - 6*j + 6. Calculate -40384*p(b) - 3*y(b).\nAnswer: 5048*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44662299 is divided by 100?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1905*z + 1555*z = -12950 for z.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/13)\/(85*11\/187).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.77385 litres in millilitres?\nAnswer: 41773.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -q**5\/140 - 39*q**4\/56 - 19*q**3\/7 - 255*q**2. What is l in g(l) = 0?\nAnswer: -38, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 divided by 2?\nAnswer: 103\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 274, 522, 682, 754, 738, 634?\n\"Answer: -44*k**2 + 380*k - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/9 + (-8)\/(-6). What is the third derivative of -6*k**6 - k**n + k**6 + 2*k**6 wrt k?\nAnswer: -360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 844, 7810, 26684, 63424, 123988?\n\"Answer: 993*a**3 - 4*a**2 + 27*a - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291705958 is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3580 and 5000.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*d - 490 + 210 = 0 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 16*l**2 + 4*l - 52. Calculate z(16).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5a42 (base 14) to base 11\nAnswer: 10908","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13803 + -13803.4. Let c be (6\/(-110))\/(2\/5). Let b = -4\/11 + c. What is the nearest to -1\/4 in k, b, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of s**8\/56 - s**7\/35 - s**6\/180 + s**5\/90 - 74*s**2. Determine m, given that v(m) = 0.\nAnswer: -1\/3, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80301?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**4 + 1 - 1 + (108 - 108 - 11*h)*(562*h**3 + 554*h**3 - 1069*h**3) to the form g*h**2 + s*h**3 + y*h + m + u*h**4 and give u.\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 432*a - a**2 - 432*a.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 326228.\nAnswer: 2, 7, 61, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4470, 4476, 4482, 4488, 4494?\nAnswer: 4500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1381 - 0.136867. What is i rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i = 8*i + 6. Solve 24 = -4*y + 5*z, -3*y + 4*z - i - 18 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493097.7kg in grams?\nAnswer: 493097700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33008.62 + -33579. Let r = 582 + u. Round r to 0 decimal places.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -292551 or -6143563\/21?\nAnswer: -6143563\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5*r = -5*r. Which is the biggest value? (a) r (b) 0.1 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112 and 208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -1\/4, -1\/9, 1, 16 in ascending order.\nAnswer: -0.5, -1\/4, -1\/9, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -7*o + 16. Let q(z) = -13*z + 31. Let w(h) = -11*a(h) + 6*q(h). Let n be w(5). Let s = n + 0. What is the highest common divisor of 20 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -784, -782, -780?\n\"Answer: 2*k - 786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/7)*n\/(n*n\/n**2))\/(n**0*n**7) assuming n is positive.\nAnswer: n**(-44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6686*h**3*p - 2*h**3 + 44*p - 33 wrt h?\nAnswer: -20058*h**2*p - 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 377, 754, 1131?\n\"Answer: 377*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 2*u + 42 = 13, 0 = -3*s - 3*u + 12. Let p(f) = -f**3 + 7*f**2 - 12*f + 86. Let o be p(s). Solve 0*j + 3*j - 17 = 4*i, -8 = -o*j + 2*i for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6716 and 1380.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 5*q. Let t be k(3). Suppose 36 = 9*s - t*s. Let u(y) = y**2 - 12*y + 56. Let m be u(6). Solve 4*x - r - s = 0, -2*x = r + 2*r - m for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -402, -1356, -2944, -5166, -8022, -11512, -15636?\n\"Answer: -317*w**2 - 3*w - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.1 + 6.1. What is the second biggest value in 1\/4, w, 3\/32?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 22998 = 2*j, 3*j + 99*c = 101*c + 34485. What are the prime factors of j?\nAnswer: 3, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g + 27. Let d be k(8). Sort 1, 15, d.\nAnswer: d, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -430*t + 74*t - 10324 = 0 for t.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 2*c - 4. Let x be (1\/3)\/(8\/(-48)). Let g(t) = 0*t**2 - 10*t + 0*t**2 - 17 + 2*t + 4*t**2. Give x*g(a) + 9*j(a).\nAnswer: a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 5*i. Let z(c) = -1030*c**2. What is t(z(o))?\nAnswer: -5150*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30219?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {h: 11, w: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 32 = 8*k. Let 30*h**2 - 5 + k*h - 32*h**2 - 3 = 0. Calculate h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -6*w**2 - 1221*w + 11479. Determine p(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) -13\/16 (c) 5 (d) 4.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 8*j**2 + 11*j + 7. Let z be x(-8). Let r = 83 + z. Let c(g) = -g + 41*g**2 - r + 38*g**2 + 42*g**2 - 119*g**2. Calculate c(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-9) + (-40)\/42. Suppose 4 = 5*g - 3*g. Suppose -g = w - 3. Which is the nearest to 3? (a) -2 (b) d (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -4*p + 26. Let x be ((-15)\/p)\/(14\/(-10)). Suppose -2*j - 3 = -k - 2*k, -2*k + 2 = -5*j. Is x greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(((-6)\/9)\/2)\/3*-6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 401, 12, -1.4, 146 in ascending order.\nAnswer: -1.4, 3, 12, 146, 401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 46227 = 5*i - 4*a, 5*a = -3*i + 27743. Let z = -508471\/55 + i. Calculate the common denominator of 14\/55 and z.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-4)\/18)*-11*(-700)\/(-3465)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19473, 19493, 19513, 19533?\nAnswer: 19553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/78 + (-414)\/(-1170).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 68\/20)*-10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 4*n**2 - 3*n. Let y be v(2). Suppose y = 3*j - 1. Solve 5 - j = 4*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*n = -44. Let m = 24 - n. Suppose 3*s + 3*p - 15 = 0, 0*s + 4*s = 3*p + m. Solve -h + 0*h = -s for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7*44\/77*-1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 4*j - 44, -6*v + 3*v + 3*j = -42. Suppose 3*d + 6 = -y, 0*d - d = -2*y - v. Let t(x) = -5*x + 4. What is t(y)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12278, 12653, 13284, 14177, 15338, 16773, 18488?\nAnswer: 20489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v - 4. Let l be 18\/(-30) + (-14)\/10. Let g be 4*1\/l*4. Let w be q(g). Solve 5*r = -h + 2, -9 = -w*h - r - 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 45*o**2\/2 + 52*o - 20. Find the first derivative of c(q) wrt q.\nAnswer: 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, z: 4}. Give prob of picking 3 s.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383*s - 3*m = 386*s + 3, -5*s - 2*m - 8 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.7 + -1.53. Let h = -0.33 + d. Let u = -0.16 - h. Sort 2\/7, 0.4, u.\nAnswer: u, 2\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2159970, 4320022, 6480074?\nAnswer: 8640126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 15) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -58*j + 170. Is 12 a factor of d(-31)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7823*k + 48259*k - 1603*k + 16969*k + 72822*k.\nAnswer: 128624*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99, 105, 117, 135, 159, 189, 225?\nAnswer: 267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 2:36 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50 + 49.99999953. Round i to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 0. Suppose 4 = -f*h + 10. Suppose -11 - 5 = -4*w. Calculate the remainder when w is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*s - 99 + 1149*s**2 + 366 - 424 wrt s?\nAnswer: 2298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 35*m**3 + 9*m**2 + 2*m - 2. Let p(f) = -35*f**3 - 10*f**2 - 3*f + 3. Let z(i) = 2*p(i) + 3*u(i). Find the third derivative of z(n) wrt n.\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24551.\nAnswer: 24551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 13*s**2 - 2*s - 4. Suppose o = 4*o + 39. What is the tens digit of d(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 23457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -337758036 divided by -22803?\nAnswer: 14812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2159, -4354, -6585, -8852, -11155, -13494?\n\"Answer: -18*t**2 - 2141*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - 21 - ((-3 - (-16 - -13)) + -1 + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16833679 to the power of 1\/2, to the nearest integer?\nAnswer: 4103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 1. Let i(u) = -u**2 + 11*u - 10. Calculate the remainder when i(k) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33.3 + -33.4. What is the second biggest value in 2\/11, 3\/11, d, 3?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -1.4. Let o = 119 + -109. Put t, o, 0.2 in increasing order.\nAnswer: t, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-117)\/27)\/13)\/((-1)\/39). Which is bigger: j or 12?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 245680 and 332.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 18 (c) -16 (d) 21 (e) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 412*p - 114 = 406*p. Solve -m = -15 + p for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = k - 2, 2*k + 27 = 5*k - 4*z. Let s(a) = 7*a + 5. Let i(c) = 28*c + 13. Let q(o) = 56*o + 24. Let l(u) = -9*i(u) + 4*q(u). What is k*l(f) + 21*s(f)?\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11033646 to the power of 1\/2, to the nearest integer?\nAnswer: 3322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247 = 10*m - 197 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/55 in 0, 2\/5, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*p + 606 + 6 = 63*p. Solve -26*o + 16 = -p*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 11:27 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of s**4\/8 + s**3\/6 + 42*s**2 - 2*s. Calculate k(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14290000 to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/35*1\/(-2)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 a when three letters picked without replacement from {e: 3, t: 2, a: 4, k: 2}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -290 + 1267. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1647?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -2\/7, -3\/7, 26\/90329?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -4. Let z(q) = -q**3 + 3*q**2 + q. Let h be z(m). Suppose 0 = -2*s - h*s. Solve -y - 3 = s, 5*y + 17 = -0*c + 2*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/15)*p**(-12))\/(((p**(-1\/3)\/p)\/p)\/p**(3\/4)) assuming p is positive.\nAnswer: p**(-181\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(4\/11))**(-46)*f**(-18\/11)*f*f**(-38)*f assuming f is positive.\nAnswer: f**(-598\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**9\/y)\/y**(-1\/11)*(y\/(y*y\/(y\/(y*y**(-2\/5))))*y)\/y*y**(-1\/4) assuming y is positive.\nAnswer: y**(1593\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -18 - -4 - ((8 - -30) + -70) - 83\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 269*d*p**3 - 3*d*p**2 + 43*d - 45 wrt p.\nAnswer: 807*d*p**2 - 6*d*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -s**8\/20160 - s**7\/1260 - s**6\/240 + s**5\/30 - 9*s**2. Let o(c) be the third derivative of x(c). Factor o(p).\nAnswer: -(p + 1)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 2*h**2 - 4*h - 3. Let f be d(-2). Suppose 2*t - 6 = f*t. Let y = 3 - t. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -2 + 3 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 26, 2, -13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 10:59 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 478.3 + -527. Round n to the nearest integer.\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*g**2 - 7475 + 2*g**4 + 7477 + g**4 to k + a*g + f*g**3 + q*g**4 + p*g**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/13)*v*v*v**(-3\/4)\/v)\/(v\/((v\/(v*(v\/((v*v*v**(-2\/11)*v)\/v*v))\/v))\/v))**(-1\/15) assuming v is positive.\nAnswer: v**(999\/2860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 - -53. Calculate the smallest common multiple of 10 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.04 - 0.44. Let q = -4.3 + 3.97. Let s = -0.43 - q. Sort s, p, 3\/7 in increasing order.\nAnswer: p, s, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -17. Let n = z + 30. Let b(p) = -p**2 + 32 - n + 4*p**2. Let d(k) = -5*k**2. Determine b(d(f)).\nAnswer: 75*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 8 - 40. Let r(d) = -d**3 + 9*d**2 - 9*d + 11. Let o be r(y). Does 11 divide -21*(-3 + o + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k + 1. Let q be b(1). Suppose a = q - 1. Find the third derivative of 2*p**2 - a*p**2 - 24*p**3 + 23*p**3 - 3*p**2 wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 91868.\nAnswer: -3\/91868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/((m\/(m*m**(-2\/59)*m))\/m)*m**18*m*m*m*(m\/(m**(-2\/25)\/m))\/m*m*(m*m**(4\/9)*m*m)\/m assuming m is positive.\nAnswer: m**(378212\/13275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 10 + -1 + 0\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -250.27 - -0.27. Let r = -250.00103 - w. What is r rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 - 7. Suppose -6*j = -5*j - 2*a - 2, 4*a + s = 4*j. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -4, -90, -10.34?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5578*b*x**4 + 4744*b wrt x.\nAnswer: 22312*b*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1168 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -5*c - 1. Let k(l) = -11*l - 2. Let d(m) = 2*m**2 + 10*m + 4. Let n be d(-4). Determine n*k(g) + 9*b(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3062*s**3 + 6121*s**3 + s + 3493*s**2 - 3057*s**3 - 1 as a*s**2 + x*s**3 + y*s + d and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.67*-197.\nAnswer: 131.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12b7 - 1011a?\nAnswer: -bb33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 8*q - 34. Let c be 1\/(-6) + (-2)\/(-8)*518\/21. Give g(c).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3c (base 15) to base 4\nAnswer: -321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -2. Suppose 4*m = 5*z - 4, -z + b*z + 8 = 3*m. Let y(o) = -326 - o - 333 + 3*o + 655. Determine y(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.119 and -30048?\nAnswer: 3575.712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*v + 390, 0 = -2*v - 3*v - 4*a + 655. Suppose 3*w = v + 156. What is the remainder when w is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 624*h**3 + 65*h**2 + 65*h + 130. Let v(r) = 39*r**3 + 4*r**2 + 4*r + 8. Give 4*d(p) - 65*v(p).\nAnswer: -39*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a microgram in nanograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q**4*z + 19*q**4 - 5*q**2*z - 6*q*z + 3 wrt q.\nAnswer: -24*q*z + 456*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 427242608?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -3487 <= -3488?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -1\/7 (c) 1455\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2160.47 or 23\/39?\nAnswer: -2160.47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23524451 (base 6) to base 16.\nAnswer: b53cf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-750 - -740)\/((-2)\/4 + 5\/2). Let d = -0.1 + 0.2. What is the nearest to d in b, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4595\/10696 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -716330 = -s - 3470330. What is s rounded to the nearest one hundred thousand?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and 1073.\nAnswer: 1072.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-2)\/(-20)*-7*44\/231?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -9, -3, -529, -11.\nAnswer: -529, -11, -9, -4, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0889 and 3?\nAnswer: 0.2667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 245 (c) 2 (d) -1 (e) -2\/3083\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 217\/(-15345)*22*10\/4\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 5, -281 in ascending order.\nAnswer: -281, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 33 = 3*l - 16, -2*l + 2 = 0. Solve o*h = -5*w + 4*w, -3*w = -4*h - 16 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oovvgovovgvo. What is prob of sequence ovvo?\nAnswer: 10\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 740 + -735. Solve -3*g = i*g + 32 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 167647587 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = u - 85, 4*s + 163 = 3*u - 62. Suppose 0 = -2*w + 3*j + 230 - u, 63 = w - 4*j. Let x = w - -85. Calculate the greatest common factor of x and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 65, 107, 153, 203, 257?\nAnswer: 315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -2\/3*t**4 + 1\/30*t**6 - 67*t + 0 - 2\/5*t**5 + 16*t**3 + 72*t**2. Factor z(q).\nAnswer: (q - 6)**2*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/1095984 and 89\/108?\nAnswer: 1095984","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*i + 21*i - 1176*i**3 + 5*i**2 + 17*i + 1165*i**3 wrt i?\nAnswer: -66*i + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.514 - -0.266. Let g = -1.78 + y. Put 0.013, g, 3 in descending order.\nAnswer: 3, 0.013, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -17*k - 16*k + 43*k - 15*k. Let z(u) = u**2 + 3*u + 3. Let j(r) = r**2 + 2*r + 2. Let a(i) = -3*j(i) + 2*z(i). Give x(a(s)).\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30627*s**3 + 30629*s**3 - 61258*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -26916 times 2843\nAnswer: -76522188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g**2 + 3134355*g + 68953390 = 0. What is g?\nAnswer: -626849, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5*c + 6 = 0, o - c = c. Are o and 4 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -4) + 1 + 25 + -29 + 40\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1245, -848, 233, 2340, 5815?\n\"Answer: 57*j**3 - 2*j - 1300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5496231 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1583 divided by 1583.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 7*a - 20 = 2*a, 0 = -3*a + 6. Let o be (-10 - -10)*(c\/4)\/1. Let m be 3\/6 + o + 10\/4. Sort -3, -5, m.\nAnswer: -5, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 divided by 429?\nAnswer: 68\/429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1952*g - 1113669 = -2033*g. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -504*g = -502*g - 8. Solve -6*h = g*z - 9*h, 2*z + h + 10 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 11:48 PM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 143 = -v, -6*v + 271 = 4*l - v. Calculate the remainder when l is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 196 by -18.\nAnswer: -98\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -20, 0.5, -0.3, 3, -3\/5?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62849747?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**3 + 5*b**2 + 3*b - 6. Let q be w(4). Let t = 22 - q. Calculate the lowest common multiple of (-104)\/(-18) + 4\/18 and t.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -663 - -1126. Let s = 460 - v. Which is the second biggest value? (a) 0.5 (b) s (c) -2\/3 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(54) - ((sqrt(216)\/sqrt(4) - sqrt(54)) + sqrt(54)))*3)\/sqrt(9))\/(-2*2*sqrt(50)))**2*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -28, -4, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jryjyjjrbjjyrrgj. What is prob of sequence ygr?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, j: 1, w: 3, z: 1, e: 1, g: 2}. Give prob of picking 1 s, 1 j, and 1 g.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56 or -5667?\nAnswer: -5667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z**5 + 266745*z**4 - 2964904008*z**3 + 4446755853*z**2 + 133368*z - 1482251952 = 0. Calculate z.\nAnswer: -1\/2, 1, 22228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374 is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15319737*w**3 + 1255*w - 2156.\nAnswer: -91918422*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*s**4 - 22632*s**3 - 3251020*s**2 - 4148976*s - 920560 = 0.\nAnswer: -622, -185, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211 is divided by 146.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 16 = 6*l - 2, -3*j + 29 = 5*l for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 18 - 2, n - 3*o = 148. Suppose 3*j = -j + n. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 798266 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bub when three letters picked without replacement from {u: 1, b: 5, i: 1, v: 1, g: 9}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39089579, 39089580, 39089581, 39089582, 39089583, 39089584?\nAnswer: 39089585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 138 (c) 3 (d) -66 (e) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*h - 2590 = -7*h. Calculate the lowest common multiple of 329 and h.\nAnswer: 3290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5)\/d**(-19))**(-20) assuming d is positive.\nAnswer: d**(-280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifteenth of a millennium?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 299596832 and 8.\nAnswer: 299596832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 2*x**5\/15 - x**4\/6 - 2*x**3\/9 + x**2\/3 + 48. Factor i(v).\nAnswer: 2*v*(v - 1)**2*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of s**5\/20 + s**4\/4 - 2*s**3\/3 + 2*s**2 + 4*s. Let a be i(-4). Sort a, -2, 0 in increasing order.\nAnswer: -2, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -4*d + 108. Suppose -5 - d = -t. Let b = t - 614\/9. Which is bigger: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70874722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jc when two letters picked without replacement from aajaccaaeaeeaaaa?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 22*h = 146300. Round h to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1926 = 3*t - 5*w, 2*t - 881 = -4*w + 381. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.301429 to four decimal places.\nAnswer: 0.3014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 848 + -844. Solve -16 = 4*u + l for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 250239089 to the power of 1\/3, to the nearest integer?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 + 2*x - 2*x)*(3*x - 6*x + 4*x) - x + x + x**4 + (-3 - 3 + 5)*(x + 2*x**4 - x) + 4*x**4 - 2*x**4 - 4*x**4 + x**2 - x**2 - x**4.\nAnswer: -6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 618044*h**3*r**2 + 2*h**3 - 4882144*h**2*r**2 - h**2*r wrt h.\nAnswer: 3708264*r**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 172344618 by -3.\nAnswer: -57448206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 3151428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 9*x**2 - 7*x + 7. Let a be k(-8). Let f be (-5)\/2 + 6\/(-5 + 7). Let b = 3.8 - 7.8. What is the nearest to f in a, b, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j + 10 - 3*j - 12*j - j in the form s*j + g and give s.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 112344 (base 5) to base 3\nAnswer: 12121211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d7e1 + -4?\nAnswer: d7dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -0.4, -2 in decreasing order.\nAnswer: -0.4, -2, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 6*r**2 + r + 4. What is the units digit of k(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.4 + -0.6. Let g = 0.007 + 2.993. Let j = g + q. Put -5, 0.4, j in ascending order.\nAnswer: -5, j, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.30255 rounded to three dps?\nAnswer: 0.303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-13 + 10)*((-8)\/(-12) - 1). Let d be 4 + 3848\/80 + u\/(-10). Solve 15 = -57*s + d*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (11 - (-4 + 3))*(-9)\/(-6). What is the highest common factor of 234 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-18)\/16)\/(3\/2). Let w = 0 - 0.3. Let g = 0.2 + w. What is the third smallest value in g, -4\/9, m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.9 - 4. Let s be 24 - 4 - (-1 + 5). Let q = 12 - s. Sort q, -0.4, b in ascending order.\nAnswer: q, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 272\/(-51)*6\/(-8). Suppose -d*b + 31 = -73. Calculate the highest common factor of 104 and b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3733801, 7467587, 11201359, 14935111, 18668837, 22402531, 26136187, 29869799?\n\"Answer: -v**3 - v**2 + 3733796*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 l when two letters picked without replacement from {p: 1, l: 1, k: 1, f: 1, m: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19360418 and 1078?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1752 and 2772?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z. Let x(f) be the third derivative of -635*f**4\/24 + 5*f**2 - 5*f. Give o(x(v)).\nAnswer: -635*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57943*j**2 + 28958*j**2 + 28988*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1002, -2038, -3070, -4098, -5122, -6142, -7158?\nAnswer: -8170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u**2 - 4*u - 5. Let f(r) = 4*r**2 - 3*r - 4. Determine -5*f(h) + 4*t(h).\nAnswer: -8*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -25788389778611+-2.8\nAnswer: -25788389778613.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13369616 and 416.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 35 = -5*w, 4*w - j + 2*j = 28. Suppose w*g - 837 = 1074. List the prime factors of g.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27922919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/(665\/(-742)) + (-24)\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ae when two letters picked without replacement from {c: 2, e: 1, a: 1, b: 4}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3313576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 9 + 957*d + 1299*d as r*d + a and give r.\nAnswer: 2256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 u, and 1 x when three letters picked without replacement from uuxwxsxsusxpusu.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 254 - 56. Suppose 5*c - o = -c. Is c a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 1, 1938865?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g. Let v = -21 - -7. Let z be 3\/(-2 + v\/(-4)). Let m(o) = -2*o**z + 0 - 3 + 3. Calculate m(q(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -804031.99 to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-4))\/(49\/196)*-2. Let s(j) = j**3 + 5*j**2 - 7. Let u be s(x). Solve 0 = u*n - 5 - 15 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -17439, -17449, -17459, -17469?\n\"Answer: -10*h - 17429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h + 19 = -17 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*k + 113*k - 1196 = 165*k for k.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**4 + 24712948*k**3 + 76341076578506*k**2 - 916095587942184*k + 2748289432827528 = 0 for k.\nAnswer: -6178243, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7701950)\/(-173915))\/(10\/(-28))?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 291 + -296. Let i = 0.021 - 0.331. Let j = i + -0.69. Which is the biggest value? (a) w (b) j (c) 5\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 58082553 - -11017447. Round b to the nearest one million.\nAnswer: 69000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1*(sqrt(468) + 1)**2.\nAnswer: -468 - 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 940*v - 10914 = -191*v - 688*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -7. Let v be ((-6)\/(-4))\/((-3)\/w). What is the second derivative of -x**v + 3*x + x - x wrt x?\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18829 (base 10) to base 9.\nAnswer: 27741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 9) to base 3.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.8 + -3. Let x = -1.2068 - u. Round x to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 15027*n. Let r(u) = -29*u. Calculate r(j(b)).\nAnswer: -435783*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 87636\/2616*(-12)\/(-18)*-3?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -5. Let i(l) be the first derivative of l**4\/4 + 7*l**3\/3 - 5*l**2 - 79. Is 11 a factor of i(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1315 is divided by 335?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {b: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 - 1)*(-52 + 4*s**4 + 52) + (s**4 + 0 + 0)*(-2 + 0 + 1).\nAnswer: -21*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 20, 0.5, -2, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 11) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a. Let d(t) be the first derivative of 0*t**2 + 2\/3*t**3 + 1 + 0*t. Give j(d(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -18. Suppose -6*h + 11*h + 3662 = d, -4*d - 4*h + 14576 = w. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2772966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 367400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 24*x**2 - 43453*x + 2534917 wrt x?\nAnswer: 48*x - 43453","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(2 + -1 + 0). Suppose m - v = 0, -4*m + 0*m + 54 = 5*r. Is r a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 5*r**2 + 4*r - 1. Let d(v) = 3*v + 7. Let l be d(3). Suppose -u + 1 = -a - 0, 0 = -2*a - 5*u - l. Give w(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o + 9. Let h(c) = 3*c - 9. Suppose -629 + 641 = 4*j. Determine j*h(g) + 4*l(g).\nAnswer: g + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 258509 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -25380 take away 0.02?\nAnswer: -25380.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.6 - -10.58. What is the closest to -1\/2 in o, 0.02, 0.4, 1\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i + 3*h + 12 = -11*i, -5*h - 20 = 4*i. Are -0.0706 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 111066 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: Simplify ((-2 + sqrt(11))*-4 + sqrt(11))*5.\nAnswer: -15*sqrt(11) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -5*v**2 - 4. Let t(i) = 4*i**2 + 3. Suppose 4*j = -16*j - 80. Let q(p) = j*t(p) - 3*c(p). Let w(m) = -10*m + 8*m + 29*m. Calculate w(q(n)).\nAnswer: -27*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-5*(-5 + sqrt(24)\/sqrt(3) + sqrt(8) + sqrt(8)))**2.\nAnswer: -13500*sqrt(2) + 21825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 505 = 5*z - 0*d, d - 392 = -4*z. Let v = -52 + z. Suppose 5*x - 20 = -g, -5*g + 5*x + v = -25. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33557 + -30596. Calculate the highest common factor of y and 2632.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -84949 < -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 38212*i**3 + 43023 wrt i?\nAnswer: 114636*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1503233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 608\/(-112) + 4 + 1. What is the fourth biggest value in 0.2, -0.5, 5\/2, w?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 - 3*z**2 + 0*z**2 - 9 + 6*z + 0*z.\nAnswer: -(z - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34*g + 96*g**4 - 407*g + g**3 - 184*g - 49*g**4 - 46*g**4 wrt g?\nAnswer: 12*g**2 + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzbbzzwwzbbb. Give prob of sequence wz.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23654036177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -48*v**2 - 30*v + 67. Give k(3).\nAnswer: -455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 l when four letters picked without replacement from {l: 2, j: 5, e: 3, h: 2}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 991006234.\nAnswer: 2, 433, 1144349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.14 + 0.84. Let c = b - 9.7. Let j = c + 9. Sort -2\/11, -2\/3, j in descending order.\nAnswer: j, -2\/11, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) 1 (c) -1\/9 (d) -1807\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2009471735 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 29*x + 6. Let d(m) = -82*m - 17. Let l(v) = 6*d(v) + 17*j(v). Let q(a) = -10*a + 1. Determine -36*l(n) - 4*q(n).\nAnswer: 4*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -95, -254, -515, -884, -1367, -1970, -2699, -3560?\n\"Answer: -y**3 - 45*y**2 - 17*y - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -324, -4, 0 in ascending order.\nAnswer: -324, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 5\/2*x**2 + 2 - x. Let z be b(2). Calculate the highest common divisor of 1 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.218 * -0.8.\nAnswer: 0.1744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 459*a**2. Let r(i) = -3*i. Give q(r(p)).\nAnswer: 4131*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/(q*q**(-1\/25)*q)))\/q)\/q)\/(((q*q**(-9\/8))\/q)\/q) assuming q is positive.\nAnswer: q**(417\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, n: 4, d: 3}. Give prob of sequence ccdn.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 + 59. Let k be 5 + 2\/(-3 + (1 - -1)). Calculate the least common multiple of r and (k\/(-2))\/(1048\/176 + -6).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ljbcecljbeemec. What is prob of sequence cbj?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 1. Let r(b) be the third derivative of 7*b**5\/60 - b**4\/12 + 5*b**3\/6 - 5*b**2. Let g(s) = -r(s) + 5*t(s). Find the second derivative of g(z) wrt z.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/168)\/(1360\/(-952)).\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -6*t + 610. Calculate the least common multiple of p(15) and 1235.\nAnswer: 9880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-3)\/18 - (-13)\/6) + (-571116)\/(-13)?\nAnswer: 2, 11, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-2 - -6) + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) 31 (c) 3 (d) 0.4 (e) -1.5 (f) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58 - 116. Let w = -588.2 + 641. Let i = m + w. Round i to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118828241137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 0 - 2) + 4 - -3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 12*g**2 + 11*g - 5*g**2 - 11*g**2. Suppose 677*h - 668*h = 36. Let s(r) = 2*r**2 - 5*r. Calculate h*x(p) + 9*s(p).\nAnswer: 2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/336 and 27\/145712.\nAnswer: 437136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 + -16. Calculate the greatest common divisor of 21 and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -950, -948, -946, -944, -942?\n\"Answer: 2*h - 952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87482035.\nAnswer: 5, 137, 127711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15321 in 3\/7, 1\/5, -24\/11?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyycyyycycyy. What is prob of sequence yccc?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 72 - 102. What is the smallest common multiple of o and 23?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 11154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 8 = 2. Suppose r = -0*q + q. What is the remainder when q is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26094224.6 rounded to the nearest ten thousand?\nAnswer: 26090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -1)*3\/9. Suppose g = 2*j + 3*j - 795. Suppose 189 + j = 4*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11810 - -3910. Let z = -158119\/20 - n. Calculate the common denominator of -67\/70 and z.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 82\/3843 and -111\/3458.\nAnswer: 1898442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 95*z**2 - 6*z + 89. Let o(l) = l**2 + l. Let s(q) = 6*o(q) + x(q). What is the derivative of s(u) wrt u?\nAnswer: 202*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 - -220201222021211?\nAnswer: 220201222022021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d - 8 + 8)*(-3 - 2*d**2 + 3 - 5).\nAnswer: 10*d**3 + 25*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -f - 0*y - 15, 0 = 3*y. Let x(z) = -5*z - 18. List the prime factors of x(f).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -22 + (4 + -19)\/(-5). Suppose -q = 4*q + 85. Which is greater: y or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.146 - -3.159. Let x = 10.987 - 11. Let c = y + x. What is the second smallest value in c, -0.1, 0, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3 + 547*q**2 - 2050*q - 744.\nAnswer: (q - 4)*(q + 186)*(3*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21373156 by 3053308.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 340589 divided by 4\nAnswer: 340589\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.018, 1\/7, 2, -0.16, -2\/33 in decreasing order.\nAnswer: 2, 1\/7, -0.018, -2\/33, -0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z + 15. Let i be a(4). Is i less than or equal to 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3) + (-3)\/(-18)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**3 - 25*b**2 - 15*b + 22. Let l be g(13). Let z = l + 7. What is the third derivative of -17*c**2 - c**2 + 10*c**2 - 16*c**z - 15*c**2 wrt c?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-70))\/(1\/(-7))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (4 + sqrt(7))*3 + -2 + sqrt(7) + -5 + 6*sqrt(21)\/sqrt(3).\nAnswer: 2 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5228 + -434268.\nAnswer: -439496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-2))\/(21*(-19)\/266).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r + 7. Let n(t) = -t - 1. Let l(a) = a**3 - 11*a**2 - 3*a + 3. Let o(f) = -l(f) + 2*n(f). Let z be o(11). Give d(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (39\/18 + -2)\/(81\/(-1602)). Let l = 433\/27 - f. Find the common denominator of -85\/2 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 180013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -5*k**3 + 38755*k**2 + 77530*k = 0.\nAnswer: -2, 0, 7753","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -1076*f**2 - 43*f. Let s(v) = 94*v**2. Give a(s(i)).\nAnswer: -9507536*i**4 - 4042*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 4 + (-2)\/1. Let i(l) = l - s*l - 5 + 3. Let v(h) = 3*h + 2. Suppose 0 = 4*y + 10 - 30. Determine y*i(x) + 6*v(x).\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16791240 by -30.\nAnswer: 559708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v - 7*v - 832 = 464. Let h be (-4)\/(-3)*(5 + 7). What is the greatest common factor of h and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbbbbbbbbbabbbb. What is prob of picking 2 b and 1 a?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 3)*(-2 - 2 + 2)*(-2*g - 47*g + 19*g).\nAnswer: -60*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*a - d + 422 - 535, 20 = -3*a + 4*d for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 694964786?\nAnswer: 2, 19, 107, 170921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4310521 and 3.\nAnswer: -12931563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -33\/490 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 148504 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38 + 40. Solve 4*u + 6 = -a for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - -2. Let h be 4\/(-10) + y\/(-30). Put h, 5, -5 in increasing order.\nAnswer: -5, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 95*t**3 - t**2 + 4*t + 1. Let k be q(-2). Let r = k + 1878. Let u = -1293 - r. Round u to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 475696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(3\/2)*b*b**(-26) assuming b is positive.\nAnswer: b**(-47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5\/4 (b) 1\/9 (c) -0.14 (d) 0.178 (e) 5 (f) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -1, 3, 0.112, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4133 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 2*i**2 + 24*i - 3*i**3 - 26*i + 1. Let p be (-4)\/(-28)*(-63)\/(-9). Give j(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.039, 0.183, -2\/9, 3, -0.2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 32 * -15334892\nAnswer: -490716544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/8296 and 23\/18012?\nAnswer: 37356888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + a + 53. Let k(n) be the first derivative of -n**2\/2 - 8*n - 1. Let x be k(-8). Is c(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + 1 + -2 - sqrt(5))*2)**2 + (sqrt(25)\/(sqrt(5)*-2) + (sqrt(165)\/sqrt(3))\/sqrt(11))**2.\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in 1.3, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -85901*g**2 - 73142.\nAnswer: -171802*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(68)*-1*4 + sqrt(68)*-1*-3 + ((sqrt(68) - (sqrt(68)*-2 + 1)) + sqrt(68)*-2 + 2)**2 + -5)*1.\nAnswer: 2*sqrt(17) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 4*n - 9*n - 25, 2*n = 3*v - 10. Let u = v + 2. Suppose -7*i + 20 = -u*i. Solve 3*z = -3*b + 6, i + 2 = 3*z + 5*b for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -929 + 1549. Calculate the lowest common multiple of n and 186.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 322 = -293. Let y = 985\/8 - i. Factor 0 + 0*p**2 + y*p + 0*p**4 + 1\/8*p**5 - 1\/4*p**3.\nAnswer: p*(p - 1)**2*(p + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 497 by 7.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -2071*x**5\/5 + 160*x**3 + 2280. What is the third derivative of s(m) wrt m?\nAnswer: -49704*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/d**2)**(-1\/4))**20)**(1\/4))**(-26) assuming d is positive.\nAnswer: d**(-65\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wkkkhppwwkkwkkhpk. What is prob of sequence ww?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.70369cm in kilometers?\nAnswer: 0.0009670369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 7*v + 2. What is the least common multiple of -1 + 1 + (1 + -2 - -3) and w(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1548, 3041, 4542, 6051, 7568, 9093, 10626?\n\"Answer: 4*l**2 + 1481*l + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 553*o**2 + o. Let n be k(-1). Let p be 6 + 1 + (-24 - 9). Let i be (-13)\/(p\/n) + 3. What is the greatest common divisor of i and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1006*c = 355*c + 28*c - 31947 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0, 44, 6 in increasing order.\nAnswer: 0, 6, 7, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 155 and 403.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppn when four letters picked without replacement from {p: 6, n: 8, k: 1, v: 3}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4909 + -4905. Which is the closest to r? (a) -0.3 (b) -3 (c) 1\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -13 in descending order.\nAnswer: 4, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 7*h**2 - 9*h + 2. Let k be s(-8). Let q = k + -5. Sort 3, q, 0 in descending order.\nAnswer: q, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7.93 from -0.0328102448559.\nAnswer: 7.8971897551441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -523133?\nAnswer: 523131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30090081 is divided by 154308?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395 is divided by 124.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (406\/14)\/58*1*1\/(-2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 132*u**6 - 201*u**3 + 62*u**2 - 352*u.\nAnswer: 15840*u**3 - 1206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -180798, -180795, -180788, -180777, -180762, -180743, -180720?\n\"Answer: 2*n**2 - 3*n - 180797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.28*0.6\nAnswer: 0.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 938 by 938.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-3 - -7) + 32*(-1)\/(-2) and 18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 6 = -3*i, 5*i = -2*g - 3*g - 15. Suppose 0*w + 4*w - 132 = i. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -822, -1636, -2456, -3282, -4114, -4952?\nAnswer: -5796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 25*i**2 + 137*i - 42. Give f(17).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1940 and 141426?\nAnswer: 1414260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 2540406240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 4*t - 84, 0*t - 10 = 2*t. Solve 3*w - o = -w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h + 11. Let i be g(-8). Let c = -10 + 20. Solve -2*a + c + 0 = 0, -2*a + 4 = -i*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-4) - (-44)\/8. Let r(u) = u - 4. Let o be r(m). Let t(s) = s**3 - 2*s**3 + 2*s**3 - 4*s + 2 - 2*s**2 - o. Calculate t(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/30 + 11\/(-3) + -1. Let y(m) = -m - 2. Let l be y(d). Solve n + 3 = -p + l, -4*p = -3*n - 31 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2156340 (base 7) in base 2?\nAnswer: 1000001000001100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 49 in 3, -117, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -625*-70*53\/18550.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 602915 or 602916?\nAnswer: 602916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1193\/6 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f + 3. Let x be h(0). Suppose x*a + 15 = -0. Round a to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 9 - 2 + p + 0 + 0. Let v = -1 - -1. Suppose v = -b - 2*b. What is y(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -215 divided by 323\nAnswer: -215\/323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -9*r + 4*r. Let k be (3 - (r - 3)) + -2. Which is the smallest value? (a) -0.3 (b) -3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -6. Let s = 5 + t. What is the remainder when 63 is divided by 2\/5 + 78\/s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 41*d**2 - 1. Let w(a) = 131*a**2 - 7*a - 9. Let q(b) = w(b) - 4*y(b). Let s(r) = -16*r**2 - 3*r - 2. Determine 3*q(g) - 7*s(g).\nAnswer: 13*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -125965*j**4 - 63621*j wrt j?\nAnswer: -1511580*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -23475.\nAnswer: -46950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30\/17 + 257\/136. Let z = 29 + -30.9. Let n = z - -2. What is the closest to n in 1\/3, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -794*f**4 + 2 + 702*f**4 + 3*f - f + 2*f**3 + (-f**2 + 2*f**2 + 0*f**2)*(f**2 - 2*f**2 + 0*f**2) - 3*f**4 - 2*f**4 + 3*f**4.\nAnswer: -95*f**4 + 2*f**3 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gzzomommmogmmmomgm. What is prob of picking 1 o and 2 z?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jrppjl.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 2 = 2*k, 450*k - 5*b - 5 = 447*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - -24.2. Let j = 41 - n. Is 2\/7 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 0 - 36) + (3092 - 3070).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**5 + 95*d**4 + 524*d**3 - 2404*d**2 + 368*d + 3200 = 0.\nAnswer: -8, -1, 2, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 742513 and 1167.\nAnswer: 743680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 + 30. Let u = p + -7. Suppose -h - 5*m = -17, u*h - 4*m = 85 + 29. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -5*u + 4*x + x, 2*u - x = 29. Let b be (-102)\/u - (-1 - 0). Let p = b - -16. Calculate the highest common divisor of 88 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 104*q**3 + 7*q**2 - 28*q - 5. Let b(y) = y**2 - 9*y - 1. Let w(x) = -5*b(x) + i(x). What is the third derivative of w(d) wrt d?\nAnswer: 624","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a century in months?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 4418?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -369*p + 599*p - 2530 = 0 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -426*p + 200 - 158*p - 529*p.\nAnswer: -1113*p + 200","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t - 2. Let g be i(-5). Suppose 4*c - 13 = g. Find the second derivative of -f - c*f**4 + f**4 + f**4 wrt f.\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.5, -62, 1 in increasing order.\nAnswer: -62, 0.5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3002 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(98)*3 + -1)**2 + ((2*sqrt(72))**2 - (sqrt(98) + 4 + sqrt(98))**2).\nAnswer: -238*sqrt(2) + 7819","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -301, -1187, -2657, -4705, -7325, -10511?\nAnswer: -14257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5754 - 5754 - 79*h**2 + (13*h - 3*h + 0*h)*(0 + 2*h + 0).\nAnswer: -59*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/10)\/((-21)\/105)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3185 (b) -10 (c) -1 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36283 + 290327\/8. What is the common denominator of 125\/78 and i?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 164 + -70. Suppose -4 = 9*p - f. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2085*k + 67. Let m be j(22). Suppose 17*o - 379137 = -m. Round o to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 62.109 + -0.109. Let w = b - 59. What is the third biggest value in 0.2, -3, -0.4, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 127.2 - 174.2. What is the second smallest value in 0.04, 4, m?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1389 + 1388.6. Put g, -2, -0.1, 1\/8 in increasing order.\nAnswer: -2, g, -0.1, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-7)*y\/y**(3\/4)*(y**1\/y)**1 assuming y is positive.\nAnswer: y**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of -1*(-6 - (0 + 2)) and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124877?\nAnswer: 151, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6016 and 384?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -1063*t**3 + 31*t + 33. What is the remainder when h(-1) is divided by 210?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -15*(-787 - 13) - (1 + -1).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 1608 = 4*n, 3*n + 5*d - 292 = 885. List the prime factors of n.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4275217 is divided by 905.\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 39696 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3033 (base 4) to base 14.\nAnswer: 10b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3508 - 3509. Let h = 2 + 0. Is h smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 135?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2504 + 2507. Solve 0 = -5*v + 15, -4*x + 2 = c*v + 9 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9052 to the power of 1\/2, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -11, 4, -529, -16, -3 in decreasing order.\nAnswer: 4, -1, -3, -11, -16, -529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m**2 + 164*m - 1315. Calculate t(45).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (-54)\/36 - 2\/4*-451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2734*j - 504. List the prime factors of t(4).\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10476820?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4 + -2 + sqrt(1300) + 2 + -2)**2*2.\nAnswer: -440*sqrt(13) + 2842","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aoaawaaauouaa. Give prob of picking 2 o and 1 w.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/((12\/14)\/((-46)\/(-1771))).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-2))\/(2\/(-36)). Let n(g) = -g**3 - 6*g**2 - 5*g + 4. Suppose -3*w = 29 - 17. Let b be n(w). Is y not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1432423.41 and 4.\nAnswer: -1432419.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 430848728?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 442913763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c - 12 = 2*c + 4*k, -2*k + 9 = c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -11 - 24\/36*-24. Solve 4*q - d + l = 0, -6*q - 6 = 18*d - 20*d for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-4))\/v**4*v**(-1\/2)*v\/(v\/((v\/v**(-2\/3))\/v*v*v)*v) assuming v is positive.\nAnswer: v**(-35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*w**2 - 7 + 9 + 6*w**2)*(-2*w**3 + 3*w**3 - 2*w**3).\nAnswer: -24*w**5 - 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -630 + 300366?\nAnswer: 277536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a week in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/40*-2*-2. Which is the third biggest value? (a) 5 (b) x (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12747 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 4*i**2 - 6*i + 89. Is s(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 552924288.\nAnswer: 2, 3, 7, 68567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -128817, -128821, -128825?\nAnswer: -128829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 69 and 1195625 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -4. Suppose -14*k + 24 = -10*k. Calculate the remainder when k is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/216? (a) 0.3 (b) 57\/11 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**2 - 49*i + 24. Let r be t(-25). What is the closest to 3 in 21\/2, -0.3, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3423 = 2897. Let d be 4\/12 - (-3)\/(36\/i). What is the highest common factor of d and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -0.2. Let d = -9.7458 - 3.2542. Put -0.6, d, k in decreasing order.\nAnswer: k, -0.6, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 31*s - 1. Suppose 0 = 7*b - 5*b - 2. What is the tens digit of r(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.9, -197, -0.06, -2\/13?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/8)\/((-3)\/318). Let i = 120 - y. List the prime factors of i.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -13*d**2 - 4*d + 15. Let p(a) = -7*a**2 - 2*a + 8. Determine -6*b(j) + 11*p(j).\nAnswer: j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2803428501?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11023)\/(-4) - (12 - (-539)\/(-44)). Suppose -y + 48296 = 45*h. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9472, -37586, -84452, -150076, -234464?\nAnswer: -337622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 10*h - 40. Calculate r(-14).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**2\/7 - 60*r\/7 + 58\/7 = 0. Calculate r.\nAnswer: 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 73157225 times 3\nAnswer: 219471675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 11:08 AM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - (-9 + (7 - 7 - 2))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + a + 8. Let o = -1 + -5. Let c be 2 + o\/(1 - -2). Is 4 a factor of k(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4*k - 10 = 14, 0 = 4*r + 2*k - 18. Determine d so that 176 - 2*d**r + 12*d - 2*d**3 - 184 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.088 - 0.227. Let g = v + 0.1309. Round g to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1129267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 144545.4804 to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, n: 3, v: 1}. What is prob of sequence av?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1053411 - 270423385?\nAnswer: -269369974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-4)*(-5 - -15). Which is the smallest value? (a) -1 (b) 2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 37*r - 11. Determine n(-6).\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v. Let m(l) = 6*l**2 + 20393*l. Determine d(m(x)).\nAnswer: -12*x**2 - 40786*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - -3. Suppose -i = k - 50, 2*k - 6*i - 72 = -i. What is the remainder when k is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2601*i**2*o**2 - 2*i**2 + 37*i - 38*o**2 wrt i.\nAnswer: 5202*o**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/26, -2414, 8\/5 in decreasing order.\nAnswer: 8\/5, -3\/26, -2414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.44 minus 0.1?\nAnswer: 1.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 825 and 17985?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -5*x**2. Let b(c) = 57*c**2 + 2*c - 2. Let f be b(1). Let j(y) = -f + 57 + 6*y**2. What is r(j(z))?\nAnswer: -180*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*o**4 + 130915*o**3 + 1028472490*o**2 + 2118475887380*o + 2117447545800 = 0. Calculate o.\nAnswer: -11486, -3210, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + n**2 + 1. Let r(v) = 4*v**2 - 3 + 1 - 2 + 5. Let g(j) = -j**3 + 9*j**2 + 2. Let p(q) = 2*g(q) - 5*r(q). Calculate -5*o(k) - 3*p(k).\nAnswer: k**3 + k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**3\/11 + 72*z**2\/11 - 648*z\/11 + 1728\/11 = 0.\nAnswer: 6, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.43, 0.07, -3, 4, 0.4.\nAnswer: -3, -0.43, 0.07, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 528 + 874. Round x to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-688 - 145 - 1352)*(4*z - 1 - 2*z - z).\nAnswer: -2185*z + 2185","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**4\/3 + 26*n**3\/3 + 1606*n**2 - 38478*n = 0. Calculate n.\nAnswer: -53, 0, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and 55.\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239904?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by 51.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 291328*a**3*c + 1359*a**2 + 18*a*c - c - 2 wrt a?\nAnswer: 1747968*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24531 and 169779?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 135*m + 9. Let h(g) = -133*g - 14. What is -3*f(x) - 2*h(x)?\nAnswer: -139*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31338*f**6*h + 20*f**3*h**3 - f**2*h**3 + 11*f**2*h**2 - 14*f**2*h + 24*h**2 wrt f.\nAnswer: 3760560*f**3*h + 120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*b + 5 = -0*d, 4*b = d - 3. Let w(x) = -2*x**2 - 4. Let g be (-1 - 0) + -6 + 10. Let t(y) = -3*y**2 + g*y - 3*y - 7. Determine d*w(k) + 3*t(k).\nAnswer: k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q - 3050*v = -3054*v - 42, 7*q - 4*v = v + 48 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -326772*b**2*v**3 - 21*b**2 + 115*b*v**3 + 4*b*v + 3722321*b wrt v?\nAnswer: -1960632*b**2*v + 690*b*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 5*k**2 + 14*k - 54. Let z be p(3). Let s(x) = -x**3 + 36*x**2 - 94*x - 13. What are the prime factors of s(z)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 61 + -1 + 3 + -6. Let q = 71 - x. Let w(m) = m**2 - 7*m - 4. Calculate the remainder when q is divided by w(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20508 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242 = 6*t - 8*t. Let m be t\/(-33) - (-4)\/(-6). Factor m - 2*n**2 + 2*n + 1 + 2 - 6*n.\nAnswer: -2*(n - 1)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -4a?\nAnswer: 4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 27839 times -120\nAnswer: -3340680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11\/5 in 0.4, 0.3, -0.4, -66, 1\/2, 0.01?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -1781*z. Let c(j) = -9*j**2. Calculate p(c(h)).\nAnswer: 16029*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 25 + 2*g + 22 + 15 + 4*g. Let q be j(-9). Let k(l) = 3*l**3 - 17*l**2 - 9*l + 19. Is k(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 + 53 = -2*m. Let u be 108*m*3\/(-12). What are the prime factors of 116\/(-8)*(-1)\/((-3)\/u)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 10*a + 1 + 0 - 2*a. Let u = -2 - -8. Calculate the remainder when f(2) is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 10:18 PM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-88*r**2 + 9*r**2 + 15*r**2)*(1 + 1 - 4)*(0 + 0 - 1).\nAnswer: -128*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63 - -39. Let l = 23.6 + w. Which is the second smallest value? (a) 12 (b) l (c) 1 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o - 9 + 7 + 14. Let l be z(4). Solve 3*r + 4*s = 14, -3*r + 2*r + l = 3*s for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6865058, 13730101, 20595144, 27460187, 34325230, 41190273?\nAnswer: 48055316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (138\/22 - 0)*41. Let l(y) = 103*y + 464. Let m be l(-7). Let r = m + p. Which is smaller: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 387201555?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/50 of a century?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 70*u**2 + u + 2. Let o be -1 - (0 + 4 + -8). Is y(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65015?\nAnswer: 5, 13003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333594 is divided by 342?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1422 = -5*r - 1387 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t + 2*c, -4*t - 6*c + 7*c - 3 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2434?\nAnswer: 2, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 6*w**3 + 2*w + 2. Let c(y) = -7*y**3 + y**2 - 3*y - 3. Let f = 1 - -1. Let v(h) = f*c(h) + 3*r(h). Find the third derivative of v(z) wrt z.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddffdd. What is prob of sequence dff?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + d**2 + 11*d + 8. Let u be i(4). Let g(m) = m**3 - 4*m**2 + m + 1. Let h be g(u). Solve 0*l = h*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 4, -4\/7, 0.1, 0.3, -5\/32 in descending order.\nAnswer: 4, 0.5, 0.3, 0.1, -5\/32, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/42*(-224)\/80. What is the nearest to k in 0, 4, -0.1, -1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nxgqmhn. What is prob of picking 1 g, 1 m, and 1 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 429585?\nAnswer: 3, 5, 13, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 8*h + 14. Suppose -2*k - 36 = -2*z - 4*k, -60 = -4*z + 2*k. Does 35 divide o(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(477\/53)*-1*2\/(-44)?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 628.67529ns?\nAnswer: 0.000000000007276334375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -11*z. Suppose 5*g = -0*g. Suppose g = -2*j - 2*j - 20. Is b(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 q when three letters picked without replacement from {z: 1, r: 2, q: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 185064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 40\/(-4) - (-80)\/15.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*g**2 + 23*g - 23*g.\nAnswer: -96*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 0*r = -12. Sort 3, 2\/9, r in decreasing order.\nAnswer: 3, 2\/9, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1113146362.\nAnswer: 2, 556573181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (53 - (17 - -10)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5307 and 348.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/2*(-4 - (-335)\/70). Let c = -757\/308 + a. Which is smaller: c or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*l = l - 1, 5*d = 4*l + 55. Let b(x) = 16*x**2 + 94*x + 7. What is the remainder when b(-6) is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -787701767 + 6*g**3 - 787701767 + 1575403534.\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*-2 - (-10 - -1). Let p(w) = 16*w + 13*w - g*w. Let d(f) = -144620 + 144620 - 2*f**2. Calculate d(p(o)).\nAnswer: -968*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 219 - 167. Calculate the least common multiple of 14 and z.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 2*q - 68, 3*c - 155 = 5*q + 51. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2. Let s(d) = 61830*d**2 - 20*d. Calculate s(g(l)).\nAnswer: 247320*l**4 - 40*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -1\/9 (c) -6 (d) 4 (e) 12 (f) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*r**2 - 3*r + 3*r + 51*r**2.\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3633173?\nAnswer: 173, 21001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 4498 - 4498. Let n(f) = -33*f. What is k(n(s))?\nAnswer: 1089*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -79, -140, -209, -286, -371?\n\"Answer: -4*g**2 - 49*g - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 11, 6, 2 in increasing order.\nAnswer: -3, -1, 2, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 2510, -9, -1\/3, -1\/6?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411714314.\nAnswer: 2, 11, 3529, 5303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 567307 and 2041?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence drd when three letters picked without replacement from {g: 12, d: 2, y: 1, r: 1, j: 3}.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126212205.\nAnswer: 3, 5, 7, 29, 181, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2871*v - 2552. Determine q(-1).\nAnswer: 319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b + 1. Let z be v(1). Factor -3*n**3 + 5*n**3 - n**2 + 0*n**z - n**4.\nAnswer: -n**2*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 4)*(0*n + 12 - 18 - 2*n) - n - 2*n + 2*n.\nAnswer: n + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 4*v - 2. Let m be ((-9)\/18)\/((-2)\/(-16)). Let w be o(m). What is the closest to w in -4\/11, 3\/5, 1\/8?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**2 - 6*n**2 + 6*n**2 - 9*n**4 + (7 - 3 + 1)*(-64*n + 56*n**4 + 64*n).\nAnswer: 271*n**4 - 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(-26)*(-3 - (-13)\/7)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of 2*h**3\/3 - 576*h. Let v(i) = 374*i. Give a(v(j)).\nAnswer: 1496*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 107, 473, 1051, 1793, 2651, 3577, 4523?\n\"Answer: -8*q**3 + 154*q**2 - 40*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 6 = -2*o, -6 = 4*n - n + 2*o. Find x such that -8\/5*x**3 - 4\/5*x - 2*x**2 + n - 2\/5*x**4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -5 + (-1*-2*sqrt(144)*1)\/((1*sqrt(75) + sqrt(75) - sqrt(75))*-4))**2.\nAnswer: 16*sqrt(3)\/5 + 412\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -29596*490\nAnswer: -14502040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*o**2 + o**3 + o**3 - 29*o**2 + 2*o + 3 + 0*o**3 to the form v + q*o**2 + x*o + n*o**3 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 8*m**2 + 10*m + 23. Let f be n(-7). Is 6\/4 - (-315)\/20*f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 0)*(-2 - 3 + 4) + 3 - 4 + 2 + 411 + 2580 - 345)*(3 - 3 - 2*u)*(1 + 4 - 4).\nAnswer: -5296*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(288) + -1 + -4 - (sqrt(288) - (sqrt(288) - -1*sqrt(288)))*-5)**2.\nAnswer: -9266 - 960*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2210 - -5973. What are the prime factors of x?\nAnswer: 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d - 6. Let r be j(8). Suppose -15 - 23 = -r*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.37651 from -111926.\nAnswer: -111926.37651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3561010116 - 3561010116 - 8*s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2916228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -180, -356, -532?\n\"Answer: -176*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 0*r**2 + 4\/3*r**3 + 0*r + 1. Let i(c) = -c - 1. Let f(o) = 3*o + 2. Let m(q) = f(q) + 2*i(q). Give m(g(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**3 + 5*j**2 + 18*j - 11. Let h be r(7). Factor -146*k + h*k + 5*k**3 - k**3 + 120*k**2.\nAnswer: 4*k*(k + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-4))\/((-126)\/252)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -12 (b) -26 (c) 0.1 (d) -2\/13 (e) 0.4 (f) -0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -35*r + 1. Let l = 73 + -54. What is the remainder when p(-2) is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 46665 from -1.6.\nAnswer: -46666.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1161431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/9, -61, -3\/29, -3?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 2*y**2 - 8*y + 7. Let q(z) = -2*z**3 + 4*z**2 - 17*z + 15. Let u(m) = 5*c(m) - 2*q(m). What is the tens digit of u(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 49. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rar. What is prob of picking 1 a and 1 r?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*x + 44 = -x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -478086 divided by 5.\nAnswer: -478086\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 5*h**2 + h + 1. Let o be l(-1). Let a = o - 3. Suppose k = n + 2 + a, 2*k - 2 = -n. Calculate the remainder when 4 is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 m when three letters picked without replacement from vnvvnvvvmvnvvvmnmv.\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -737 + -639?\nAnswer: -1376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 3) + (2\/(-22) - (-16 - -13)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*s = 59*s + 4*o + 31, 1 = s + o. Solve 30*n + 10 = s*k + 25*n, -2*n - 1 = -k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2152? (a) -2\/7 (b) 2 (c) 5 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*k + 4*k + 3*k + (-2 - 2 + 6)*(-1 + 1 + 2*k) + 170*k - 305 + 305.\nAnswer: 176*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42 + -46. Which is the nearest to -7? (a) h (b) -1 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 2:33 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(4\/5)*d*((d**(2\/7)\/d)\/d)\/d)**(-4\/9) assuming d is positive.\nAnswer: d**(128\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: What is 0.11433599612 less than -3141?\nAnswer: -3141.11433599612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 4*s**2 - 2*s + 6. Let p be x(-4). Suppose 13*j - 36 = p*j. What is the units digit of (9 - -2)\/((-4)\/j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -91247656 by -110872.\nAnswer: 823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/(-14)*(5 - 52\/12). Let o*r + 2\/7*r**2 + 4\/7 = 0. Calculate r.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/10 (b) -3 (c) 2\/29 (d) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -h + 20. Let t be 47 - (-3 + h + -2). Calculate the highest common divisor of t and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 475564*1.\nAnswer: 475564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qyyyvqyyyyqaaa. What is prob of picking 4 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1311?\nAnswer: 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**3 + 2*z + 4. Let d(t) = 7*t**3 + 5*t + 9. Let x(o) = -5*a(o) + 2*d(o). Calculate x(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2 - 44*w + 29. Determine m(-23).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -63, -49, -33, -15, 5, 27, 51?\n\"Answer: u**2 + 11*u - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 - -38. Let n(y) = -2*y**3 + 84*y**2 - 2*y + 86. Let o be n(42). Which is the closest to 5? (a) w (b) 0.3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z - 5*z - 3 - 6*z.\nAnswer: -13*z - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*p**2 + p**3 - 3*p**2 - 7*p**3 + (7 + 1 + 3)*(-2*p**3 + 2*p**3 - p**3).\nAnswer: -17*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45610866672 + -32.\nAnswer: 45610866640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -291*p = -285*p - 60. Let v(i) = i**3 - i**2 + 4. Let g be v(0). Suppose 28 = 5*x + j, -x + g*j - 2 = x. Solve -p = -4*k + b + 7, -x*k + 19 = b for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 193 or 161?\nAnswer: 193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 467, 473, 487, 515, 563?\n\"Answer: m**3 - 2*m**2 + 5*m + 463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u. Let j be 7 - 5*(-16)\/(-20). Let z(o) = -1 - j + 4 + 7*o**2 + 3*o. Calculate w(z(b)).\nAnswer: -21*b**2 - 9*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 - 10 + 3)*(2*r + 4 - 4 - r + 0*r - r + 2*r + 0*r + 0*r + (5 - 4 + 0)*(-3*r + 4*r + r) + 2 - r - 2).\nAnswer: -102*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 + 11. Let r be (b\/4 + 3)*6. Suppose 0 = 5*h - r*h - 18. What is the lowest common multiple of 24 and h?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x**2. Let s(f) = 156*f - 1. Determine s(i(v)).\nAnswer: -624*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**2 + 124*h + 1285. What is u(-49)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-5) + 5\/25. Suppose -8 = -h - h. Let n(p) = p**2 - 5*p + 4. Let m be n(h). Solve -d + 11 = -4*w - o, m = -4*w - 5*d - 17 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5*q = -0*q - 309, 2*q - 274 = -4*w. Suppose 211 = 7*y + w. What is the highest common factor of 44 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70920312 divided by -2697\nAnswer: -26296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.38116958 to 3 decimal places.\nAnswer: -0.381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -74*c + 808. What is the lowest common multiple of h(10) and 306?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + 19\/2)*2. Suppose 4*i - 2*w = 32, -5*w = -2*i + 11 + s. Suppose -i*g + 5*g + 16 = 0. Solve g*j - 3*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 98216 and 6776904?\nAnswer: 6776904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eek. What is prob of sequence ee?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 18*l + 74. Determine u(-7).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1521\/19, 37, 252 in descending order.\nAnswer: 252, 1521\/19, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 870.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**3 + 57*l**2 + 499*l + 10. What is q(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 32, 415, 3 in decreasing order.\nAnswer: 415, 32, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 13.95. Let n = z - -0.05. Which is the smallest value? (a) 2 (b) 1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 404 - 3004024?\nAnswer: -3003120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 6 = n. What is the third derivative of n - 4*q**2 + 0*q - 121*q**3 + 0*q + 87*q**3 wrt q?\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + (-516)\/(-7) - (-10)\/35. Let f = 222 - 92. Let b = f - i. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27\/5 of a meter?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 37636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (81*3\/540)\/(6\/(-8)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 10:57 AM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 5*h**2 + 6*h - 4*h**2 + 2*h**2 - 2*h**2 + 1. Let u be f(-7). Let t be (u\/4)\/(0 + 3). What is the biggest value in t, 0, -3\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90869 + 11225 = -146*f + 71174. Calculate the remainder when f is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0268791 rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3.9 * 41\nAnswer: 159.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 245159.34 months?\nAnswer: 20429.945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 12 + n - 2*n)*(4 + 10 - 12) to the form t + w*n and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 518 and 28640738.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b**2 - 24*b + 12. Let f be 7\/(7\/4)*4\/(-2). Let v be m(f). Let o(r) = 25*r + 47. Is o(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*l + 2 - 250*l - 3 + 133*l.\nAnswer: -16*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 + -25 + -5)\/(7\/(-35)). What is the greatest common divisor of 225 and w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3522 - -3539. Sort t, -3, -17 in ascending order.\nAnswer: -17, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and 73974.\nAnswer: 73974.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*u = -41, o + 2*u - 24 = -o. Let y = 117 - 107. Which is the second biggest value? (a) 3\/2 (b) y (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096518317 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-20)\/75)*-7*(-34)\/(-119)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -6*s**2. Let p(c) = 2*c - 6067894. Give p(v(u)).\nAnswer: -12*u**2 - 6067894","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3*s**4 - 3)*(-4 + 3 - 1).\nAnswer: 6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**5 + 2*h**5 - h**5 + (-2*h - 3*h + 3*h)*(-4*h**4 + 0*h**4 + 2*h**4) + 6*h**5 + 9*h - 9*h.\nAnswer: 13*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (134 + 2*a - 133 + 26*a**2 + 16*a**2)*(-2 + 0 + 4) to the form f*a**2 + c + u*a and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/17)\/c)\/(c*c**(-6\/19)) assuming c is positive.\nAnswer: c**(-563\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = g + 3. Let x = g - -7. Solve x*k + 0 = 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*f**3*y**3 + 2863*f**3*y - f**2*y**3 + 668*f**2*y - 3*y - 2 wrt f?\nAnswer: -96*y**3 + 17178*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1131*v - 18 = -1137*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 129447, 129222, 128841, 128298, 127587, 126702, 125637, 124386?\n\"Answer: -a**3 - 72*a**2 - 2*a + 129522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9415980 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 32*l**2 + 55*l + 66. What is the hundreds digit of j(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - -2 - (2 - (-7 - -3)). Let b be -3*(3 + m\/12). Let t(p) = p - 1. Let f(l) = -7*l. Let c(o) = f(o) + 5*t(o). Give c(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -11, -5, 20, 1236 in descending order.\nAnswer: 1236, 20, 3, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 - -26.9993. Round k to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 10*s + 2. Let d(o) = -o. Suppose 22 = 51*w + 33*w - 62. What is w*g(j) + 5*d(j)?\nAnswer: 5*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 514\/35 + -100\/7. What is the closest to g in -3, -0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -94 + 379\/4. What is the biggest value in -1\/7, h, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(132)\/sqrt(6) - sqrt(22)) - (2*sqrt(66))\/sqrt(3))\/(-3*sqrt(55)\/sqrt(5) + sqrt(11)*-4*-3) + 3.\nAnswer: -2*sqrt(2)\/9 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 129654069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kx when two letters picked without replacement from xxytkttktlttytt.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -897 divided by -299?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -19 + 14. Let p be (3 - (3 - 0))\/l. Solve -2*t + t = p for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 2*f - 1 = -2*d, -1 + 9 = 247*d - 239*d - 4*f for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38929339238 + -2802960096653\/72. Let t = 662143 + a. Let g = t + -299\/9. What is the common denominator of g and -83\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*b = -0*b + 687, -4*c + 2769 = -5*b. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -1\/120*j**6 - 7*j**3 - 17\/60*j**5 + 0*j + 9*j**2 - 5\/24*j**4 + 0. List the prime factors of c(-17).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28907 and 959.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1808, 15222, 51846, 123284, 241140, 417018, 662522?\n\"Answer: 1934*l**3 + l**2 - 127*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 15. Let y = 10\/9 + -4\/3. Let u be (-57)\/63 + (-1)\/(-3). Which is the nearest to m? (a) -4 (b) y (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1557318545?\nAnswer: 5, 683, 456023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 0, -2*v - 5*q = -2*q. Let w = v + 2. What are the prime factors of (2 - 2) + 4\/w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -246 + 491 - 2*c**4 - 245 + 129*c**2 - 383*c**3 wrt c.\nAnswer: -48*c - 2298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + l = -4*o + 45, -4*o + 5*l = -171. What is the remainder when o is divided by 2\/8 + (-118)\/(-8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 0. Let x(c) = -c**3 + 34*c**2 + 199*c - 153. Let j be x(39). Solve 0 = -g + j*w + 3, -g - 3*w - d = -0*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 11270599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**2\/3 - 92*a\/3 - 520\/3 = 0. What is a?\nAnswer: -13, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 66, 161, 346, 651?\nAnswer: 1106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*k - 539 = -630 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g + 1. Let z(f) = 3*f. Let y(r) = -12*r - 1. Let h(m) = y(m) + 6*z(m). Give 3*h(p) + 5*j(p).\nAnswer: 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of 0*s**2 + 1\/24*s**3 - 1\/48*s**4 - s + 0. Factor n(r).\nAnswer: -r*(r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -81 - -47?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-26 + (-4)\/(-2))*-2. Let l(d) = 2*d**3 + 12*d**2 + 10*d + 6. Let t be l(-5). What is the greatest common divisor of t and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 r when two letters picked without replacement from rmrfmrfrrrrfm?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.94*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 63*b**2 + 61*b - 189. Let f be s(-64). Solve 4*j = 2*w + 3 + 15, 0 = f*j + 5*w + 19 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68297*-13\nAnswer: 887861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -254 + 176. Let m = z + 87. Solve 4*l - 4 = 0, 3*r + 3*l = 5*r + m for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 121.72 + -85365.\nAnswer: -85243.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/3*117\/(-78)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 4*b + 11, -6*b + b = -3*r - 47. Let s = r - -21. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*18\/(-8)*(-2)\/(-24)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 5*x**2 - 5*x + 2. Suppose 2*j = -2*q + 2, -2*q + 3*j + 7 + 20 = 0. Let l be b(q). Solve 3*n - 4 - l = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 46?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (4 + sqrt(21)\/sqrt(3))*3 + ((sqrt(7) - (1 + sqrt(7))) + 1)*-2.\nAnswer: 3*sqrt(7) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 364\/(-294) + 4\/30*5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + ((2 + sqrt(200) - sqrt(200)) + sqrt(200) - sqrt(200)) - (sqrt(200) + -2 + 2*sqrt(200)))**2.\nAnswer: -180*sqrt(2) + 1809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -10 (b) -712924\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1555 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258*n - 220*n = 1216. Calculate the highest common factor of n and 5912.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {i: 1, b: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 270 = -240 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -31521145\nAnswer: 4\/31521145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -0*v - 4*v - d, 22 = 3*v + 2*d. Let a be 8\/24 + 118\/v. Solve -5*m = -h - a, 0*h - 20 = m - 5*h for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2 + 4)*(87 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/27 and 1\/(-3) + 206\/156?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 160, -0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 20 + 4. Calculate the smallest common multiple of b and 1317.\nAnswer: 5268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(320)*3 + -2 + -1 + sqrt(605) + sqrt(605))**2.\nAnswer: -736*sqrt(5) + 10644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 226 divide 389954596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/17 and 91\/2.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 296, 575, 834, 1067, 1268, 1431, 1550?\n\"Answer: -k**3 - 4*k**2 + 298*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -141335796.266004392 + 141336790.266. Let p = n + -994. Round p to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0.04 (b) 13 (c) 1\/8 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 708*q**3 + 2*q**4 + 7 + 19*q**2 - 715*q**3 + 6*q**5 - 84*q + 36*q + 44*q wrt q.\nAnswer: 360*q**2 + 48*q - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 550 and 1450.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 2*n - 1. Let u be t(1). Let x = 6 + -7. Let s = 0 - -4. Put s, u, x in descending order.\nAnswer: s, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.7 + -3.3. Let j = -9 - f. Let l = -583 + 583.1. What is the nearest to l in 4, j, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.25475 - 0.278. Round o to three dps.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5135 by -22.\nAnswer: 5135\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of i**7\/840 - i**6\/480 + 11*i**2 - 21. Let s(u) be the second derivative of x(u). Factor s(z).\nAnswer: z**3*(z - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -297 - -302 - (-1 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -2*a - 5, 0 = 2*v + a + 6 - 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21630817 divided by -7529.\nAnswer: -2873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 604511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-3)\/((-13 - (-490)\/40)*(-4)\/(-36149))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 12*l**2 - 14*l + 7. Is c(-11) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/3*63\/(-42) - (-60)\/18. Let g(d) be the second derivative of q*d**4 + 0 + 3*d + 6*d**2 + 32\/3*d**3. Factor g(i).\nAnswer: 4*(4*i + 1)*(4*i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4857205 is divided by 1259?\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 183*r + 2316. Determine g(12).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 483662934.\nAnswer: 2, 3, 71, 126151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4335, -9512, -14689, -19866?\nAnswer: -25043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 9*u**2 + 7*u + 16. Let d(j) = -17*j**2 - 14*j - 33. Let g(z) = 7*b(z) + 3*d(z). Let s(w) = 8*w**2 + 5*w + 9. What is 5*g(x) - 7*s(x)?\nAnswer: 4*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2674*d**2 + 1578*d = 0. What is d?\nAnswer: -789\/1337, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from twrwwwr. Give prob of picking 4 w.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - -5 - (25 + -4)) + 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 5. Suppose 5*y - 2*y - 6 = m. Solve 0 = o + y*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (13 - 18)*((0 - (-4 - 3)) + -13). Factor -3\/2*y**2 + i*y + 66.\nAnswer: -3*(y - 22)*(y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40 - -34. Calculate the remainder when 65 is divided by 25 + (12\/8)\/(t\/8).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183 = -5*s + 6*s + 5*w, 2*w + 807 = 5*s. Let z = s + -487\/3. What is the second smallest value in z, 0, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4800)\/70)\/12 + (-4)\/14. Suppose -3*g + 249 = 4*x, 4*g = -5*x + x + 252. Let o be x\/14 - 4\/14. Put h, o, -4 in increasing order.\nAnswer: h, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-6))\/((-18)\/252).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351711.\nAnswer: 3, 39079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 - 2 + 2)*(-1 + 1 + b**2) + (-6*b**3 + 3*b**3 + 16*b**3)*(11*b - 18*b + 42*b).\nAnswer: 453*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w**2 - 5*w + 7. Let h be d(5). Suppose -5*o - h = 3. Calculate the smallest common multiple of 9 and (-30)\/(-4)*(-8)\/o.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 77 = 11. List the prime factors of (-9 - 1)\/(-5) + y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 11 = 3*r, -207*r - 17 = -204*r - 5*u for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - ((-3)\/(-12) + 26\/(-8)). Let i(m) = m + 616. Let v be i(a). Suppose -2*n = 5*n - v. What is the remainder when n is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -34421.44?\nAnswer: -10326.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2190, -2188, -2186, -2184?\n\"Answer: 2*p - 2192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s - 119 + 119 + 94*s**2 + 42*s**2.\nAnswer: 136*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 990 - 972. Solve -f + 3*u - 5 = 0, -f - 14*u = -n*u + 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((1*(0 + sqrt(325)))**2 - ((sqrt(325)*-2 + -5)**2 + sqrt(325))) + (sqrt(325) + 2*sqrt(325))*-5 + 0 + 1.\nAnswer: -1002 - 180*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2671 = -3*x, -3*b = -3*x - 1641 - 378. Is 123 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -16 + 1. Suppose b*o + 3 = 18. What is the remainder when o is divided by (-1 - -2)\/((-1)\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**3 + 136*p**2 - 604*p + 696 = 0. Calculate p.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.064 - -25.064. Let y = -25.000019 + c. What is y rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6520 and 8150?\nAnswer: 1630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3349.495 rounded to the nearest 100?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/13 (b) -0.1 (c) 1\/4 (d) 4 (e) -1.2797\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12160 + -17a?\nAnswer: 11ba2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1268 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(2\/15)*h)\/h**7)**(28\/9) assuming h is positive.\nAnswer: h**(-2044\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9061.476l to millilitres.\nAnswer: 9061476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3 + z**2 + 0*z**2 + 4. Let u be q(-1). Suppose u = -i + 4. Which is the nearest to 1\/2? (a) i (b) 1 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**3 + 9138*h**2 + 18262*h - 27402 = 0 for h.\nAnswer: -4567, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83108*q - 151 = 4*j + 83105*q, 2*j = -q + 57 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 3476 = 4*f, 5*q - 5832 = 9*f - 6*f. Let k = 2006 - q. What are the prime factors of k?\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (21\/27)\/((-4)\/12) - -1. Put b, 1\/3, 1\/4, -3\/5 in ascending order.\nAnswer: b, -3\/5, 1\/4, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(-3*t + 4 - 4) + 3 - 3 - 2*t - 587 + 587 + 45*t.\nAnswer: 40*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1501 + 1496. Let a(b) = -3 + 1 + 0*b - 2*b - 6*b. What is the remainder when 113 is divided by a(s)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 7 + 3 = 0. Let o = 19 - 19. Suppose -3*x + o*x + 15 = -3*j, 21 = k*x - 3*j. Solve -x*d - 20 = -8*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 smaller than 2.97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000928 to five decimal places.\nAnswer: -0.00093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*5.3.\nAnswer: 15.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + w**2 - w + 7. Let f be d(0). Let o = -3 + f. Let k(r) = r**2 - 78*r + 1. Let c be k(0). Sort c, o, 3 in decreasing order.\nAnswer: o, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a microsecond in nanoseconds?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/6*0)\/(-3). Suppose 4*z - 2930716 = x, p*z - 14653488 = 5*x + 3*z. Let m = x + 4190700. What is m rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3787 is divided by 319.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1592371.83 to the nearest 100.\nAnswer: -1592400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002887603708 rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 + 195*w.\nAnswer: -5*w*(w - 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*s - 20 = 1, 4*d - 42 = -2*s. Let z be 57\/d - 1\/(-4). Calculate the highest common factor of 15 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.0282 + 1.1282. Which is the fifth biggest value? (a) -0.1 (b) -2 (c) 4\/3 (d) 9 (e) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2866986 and 7470.\nAnswer: 1494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 117 - 74. Let f = -25 + j. What is the greatest common divisor of f and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61 - 0. Let z = 95 + q. What is the remainder when 132 is divided by z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1313 - 3*t**2 - t + 142594*t**3 + 3*t**2 - 142593*t**3.\nAnswer: t**3 - t + 1313","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/13 and 67\/418?\nAnswer: 5434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 5, -2*m - a + 5*a = -128. Let n be m\/5 + (-6)\/15. Suppose 0 = 3*b + 6 - n. Which is smaller: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4533168 is divided by 192?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 7. Let d be 6*(0 + 4\/g). Let z be d\/(-10) - (-44)\/10. Solve -p + z*f = 7, -3*p - 4*f + 27 = -0*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -81*z + 80*z - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221 is divided by 105.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 421037224?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2882*y - 1100. Let z(s) = 206*s - 80. Determine 12*k(j) - 165*z(j).\nAnswer: 594*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -8*t + 35. Let x be 88\/6*45\/(-30). Is f(x) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47*n + 56*n + 49*n + 27*n to the form l + o*n and give o.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81.79655036 - 5.\nAnswer: 76.79655036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 519*h**3 + 487*h**3 - 5 - 363*h**3.\nAnswer: 643*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1c0 (base 14) to base 8\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, 2, 3, 5, 0, -560, 22.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23891*h**2 + 74*h**3 + 90*h**3 + 1 - 23891*h**2 - 1.\nAnswer: 164*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 14*h - 29 + 9*h**2 + 1\/3*h**3. Determine g(-17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42959 + -29513. List the prime factors of q.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -11. Let y be 36*(-54)\/2187 + (2 - (-32)\/(-18)). Which is the nearest to 6? (a) y (b) -0.5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*o = -36, -2*o + 0*o = 5*m - 220. Calculate the smallest common multiple of 10 and m.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4 + -2*sqrt(425))**2*-6 + 1 + (-2*sqrt(2057)*2 - (-4 + sqrt(2057) + 0 + sqrt(2057)))**2.\nAnswer: -1008*sqrt(17) + 63775","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -347570141*j. Let r(b) = 2*b**2. Give r(z(f)).\nAnswer: 241610005829519762*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**24)**19 assuming s is positive.\nAnswer: s**456","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 40964 divided by 4\nAnswer: 10241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 849 - 10199\/12. Calculate the common denominator of v and (-129)\/12 + 2 - 6\/(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3500384 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: Suppose -z + 2*z + w = -4, 16 = 3*z - 4*w. Suppose 6*h - 16 = h + 3*i, -h - i = z. What is the smallest common multiple of 2 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u - 68. Let o be y(-34). Calculate the remainder when 107 is divided by (o - (-26)\/5) + (-96)\/(-120).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89515651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/4332 and -61\/4?\nAnswer: 4332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/15*72\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (206\/515)\/((4\/12*-213)\/5)?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -31*p + 102. Let y be a(0). What is the second derivative of -114*l - 28*l + y*l**2 + 2 + 78*l wrt l?\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 357127\/96 - 3720. Let t(n) be the third derivative of -b*n**4 + 7\/480*n**6 + 0*n - 2*n**2 + 1\/12*n**3 - 1\/120*n**5 + 0. Solve t(h) = 0 for h.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o**2 - 11*o + 17. Let w be z(4). Calculate the greatest common divisor of w and 481.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3512175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1185 - 1185.00000621. What is d rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -709408 greater than or equal to -709465?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/5120224 and -1\/16748?\nAnswer: 404497696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 8:39 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a**2 + a**2 + 0*a**2 - 6*a**2 - 63*a**4 - 2*a**3 + 51*a**4 - a as m*a + x*a**4 + c*a**3 + k*a**2 + w and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 136360 and 218120?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 9 (c) -3 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sixths of a century in months?\nAnswer: 3400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2768787934 to the power of 1\/5, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/(d*d**(-30))*d)\/d)\/(d**(1\/5)\/d))**(-49))**(-19) assuming d is positive.\nAnswer: d**(143374\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 16 = -4*c, 2*c + 5*u + 32 = 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 613234459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (2 + 49)) + 15?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 15. Put -1\/3, i, -3 in descending order.\nAnswer: i, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55*h - 11*h - 2*h to the form d*h + i and give d.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -10682943.\nAnswer: 32048829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 11 + (9 + 0 - 3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 12*c**2 - c - 11. Let n be x(-12). Is n\/(-3)*-9 - -188 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 4, -4, 0.08, 2\/19?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -267a9 (base 11) to base 10.\nAnswer: -38234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 37 = -5*y, -6*y + 5*y - 5 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8.19 times -6886\nAnswer: -56396.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -54 + 49. Which is the biggest value? (a) -2 (b) 3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 958 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -68*l - 48*l**2 + 80*l + 78*l**2 as a*l + d + q*l**2 and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21136*l**3 + 6*l**4 + 24*l**5 - 10571*l**3 - 28*l**4 - 10566*l**3 - 2914*l**2 wrt l?\nAnswer: 1440*l**2 - 528*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7795 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26638, -26745, -26866, -27007, -27174, -27373, -27610?\nAnswer: -27891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3703, -14941, -33681, -59923?\n\"Answer: -3751*f**2 + 15*f + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 69596064 to the power of 1\/3, to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 467 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 9:39 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3 - 900*p**2 + 11112*p - 18656.\nAnswer: 4*(p - 212)*(p - 11)*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 124021*l**4 - 27*l**2 + 14*l.\nAnswer: 2976504*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -464, -950, -1436, -1922, -2408, -2894?\nAnswer: -3380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48036 is divided by 121?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 - 18. Solve 11 = 4*x - g for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -49*q**2 + 35*q - 35. Let n(a) = 4*a**2 - 3*a + 3. Let s(b) = -2*b**3 - 40*b**2 + 40*b - 7. Let h be s(-21). Determine h*n(v) + 3*o(v).\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 211046, 211180, 211314, 211448?\nAnswer: 211582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 220.56 - 223.56. Which is the closest to -137\/2? (a) r (b) -7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1500)\/200*(-18)\/63*(-28)\/(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -744 greater than -743?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 1:01 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 5*h + 2*a + 4, 2*h + a = 4. Solve h = 2*n + n - s, 4*n + 3*s = -13 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -42.74142842 to 0 decimal places.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*b + 10*b = -56. Suppose 41 = -b*d + 73. Solve -d*q + 3 = -4*j - 1, 2*q = -4*j + 20 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 15, 4*t - 14 = x - 73. Let g = 8 - t. Suppose 2 = 4*u - g. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*p**2 - 4*p**2 + 3*p**3)*(-85 - 2 - p - p) to y*p**2 + o + m*p**4 + h*p**3 + r*p and give h.\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-43 - ((29 - 19) + -66)) + -4 + (-3 - -101).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -5. Suppose 3*c + a + 2 = 0. Put c, -5, -1 in decreasing order.\nAnswer: -1, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 371 = -5*i, -15*o + 184 = -13*o - 2*i. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (39\/26)\/(2\/8)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 83. Suppose 8*i - 3*i = n. Solve 0 = -2*q - 4*t - i, t + 0 - 3 = 3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(8064) - sqrt(8064) - sqrt(8064))\/((-2*sqrt(64) + sqrt(64))\/sqrt(8)).\nAnswer: 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/5 of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000154846 rounded to seven dps?\nAnswer: 0.0001548","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 6*h + 5. Let q(i) = i + 24. Let g be q(-18). What is the tens digit of z(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(6)\/sqrt(2))**2 + -2.\nAnswer: -8*sqrt(3) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*g**2*q**2 - 28*g**2 + 944509*g*q**2 + 76445 with respect to q.\nAnswer: -12*g**2*q + 1889018*g*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 7 = 3*f, -10 = 2*f - 2*x - 0*x. Let p be (-2)\/7 - 94\/14. Let z = f - p. What is the remainder when 17 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 11 = -x. Suppose -x = -2*o + 5*k + 25, 0 = 3*o + 5*k - 77. Calculate the highest common divisor of o and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -9*q**2. Let f(g) be the second derivative of g**3\/6 - 8*g. Determine f(d(w)).\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/13)*j)\/j)\/j**1*(j\/(j**3*j))\/(j*j\/(j\/j**(-11\/5))) assuming j is positive.\nAnswer: j**(-192\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 288\/173 or 1?\nAnswer: 288\/173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -33 (b) -6\/17 (c) -1 (d) 4\/9 (e) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 14 + 6*f**2 + 11*f**2 + f**2 - 5*f**2 - 5*f. Let m(h) = -12*h**2 + 4*h - 13. Let l(y) = -5*m(y) - 4*o(y). What is the first derivative of l(c) wrt c?\nAnswer: 16*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 15*f**3 - 4*f**2 + 7*f + 9. Let d(s) = -7*s**3 + 2*s**2 - 3*s - 4. Let r(p) = -9*d(p) - 4*i(p). Determine r(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/13 - 88\/234. Suppose -3*a = -3*b, -8*a = -3*a + 5*b + 20. Let k be 2\/7 + 4\/(-14). What is the nearest to 1 in a, k, z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0385 to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 600700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 10:27 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 4*j - 295*y + 298*y, -4*j + 13 = 5*y for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(3\/2)*t*t**9)\/(((t\/((t*t**1)\/t*t))\/t*t)\/t)**(-16))**(3\/19) assuming t is positive.\nAnswer: t**(-135\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12385 is divided by 588.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -93 + (-60 - -92) + 28\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1848 and 112112?\nAnswer: 336336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 767 + -443. Suppose 2*a - 4*a = 3*n - 329, 0 = 3*n - 3*a - y. What is the remainder when n is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cioccficgc. What is prob of picking 1 i and 3 c?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 937049 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15919728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -448.93323 and -1?\nAnswer: 448.93323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 49563010 and 4.\nAnswer: 99126020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((54 - 100) + -7 + -1)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3554579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 4:25 PM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -5*f**3\/3 - 21*f + 3. Let k(a) = a**2 + 5. Let t(d) = 9*k(d) + 2*w(d). Differentiate t(c) wrt c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/74 and 49\/38?\nAnswer: 1406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 37, 1132516 in ascending order.\nAnswer: -3, 37, 1132516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 14 + -12 + 14\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 114*u = 342. Solve 3*z + 12 = z + 4*a, -u*a + 16 = 2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000945722035 rounded to 7 decimal places?\nAnswer: 0.0009457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 z when four letters picked without replacement from {z: 6, y: 2, r: 4}.\nAnswer: 16\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3070 and 12349075.\nAnswer: 1535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49867 equal to 249329\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 882640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 1452*q**4 + 798864*q**3 + 1735119*q**2 - 521535*q - 2013900 = 0.\nAnswer: -548, -35\/22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/1572632 or 0?\nAnswer: 7\/1572632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*o + 4858 = 5637 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uupue. Give prob of picking 2 u.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1025 + 379 = 6*s. Does 26 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of t**6\/24 - t**3\/6 + 12*t**2. What is u(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 8:37 PM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 6. What is the remainder when 8 is divided by 5*k + (-4 - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t. Let q(s) = -s - 2. Let c be q(-6). Let k be d(c). Solve -4 = -k*b + 8 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -480*p**5*z - 2*p**3*z**3 - p*z**3 - 93*p wrt p.\nAnswer: -9600*p**3*z - 12*p*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 820 + -819. Sort -4, h, -1.\nAnswer: -4, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/39 in 5, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-2)*106*12. Suppose -2*f - 102 = -d. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(2\/17)\/v*v\/(v*v**(-2\/13))*(v\/(v**(-1)*v))**43 assuming v is positive.\nAnswer: v**(9563\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1286 a factor of 967709522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 5:44 AM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**2 - 4*g - 1. Give t(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 84 + 416. Let m = -299 + x. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1482823 divided by -12.\nAnswer: 1482823\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*102\/4 - 3. Let r be (-60)\/(-27) + (-2)\/9. Suppose 5*a - r = y. What is the least common multiple of a and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2 + -2 + 1 - -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38516489971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert a7161 (base 11) to base 5.\nAnswer: 14442130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/273 and -113\/12.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 7*z**3 - 23*z**2 + 3*z - 7226. Give m(0).\nAnswer: -7226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0939933578249 and -286.\nAnswer: -286.0939933578249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - 28. Let v = 13 + a. Let l = 6 + v. Is l a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*t**2\/10 - 591797*t\/10 - 464992\/5 = 0. Calculate t.\nAnswer: -11\/7, 84544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bd when two letters picked without replacement from dpedpnpnttnbpdnpt.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9036*m = -8993*m + n + 93, 0 = n + 7 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 198*j**2 - j + 2. List the prime factors of d(1).\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 170*x**2 + 828*x + 544. Determine u(-165).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/15817 - -2910314\/110719. Let h be (-18)\/(-14) + (7 - 6). Determine l, given that -h - x*l - 182*l**3 - 98*l**4 - 108*l**2 = 0.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 3)\/(-2 - -4). Suppose g = -2*s + 2 + 8. Suppose 5*r**s - 32*r**4 - 10*r**2 + 65*r**4 - 5*r - 23*r**4 = 0. What is r?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k**2 + 29*k + 46. Let q be r(-7). What is the tens digit of (q - -9)\/((-2)\/994)*1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 191*h**2 + 21*h + 41*h - 62*h as k*h + c*h**2 + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39 by 39.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k**2 + 364420*k + 57 - 364434*k - 3*k**2. Give m(10).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 3*o**2 + 3*o - 4. Suppose 11 = -g + b - 3*b, 5 = -b. Let x = g - -2. Let l be (-16)\/(-4) - (x + 0). Determine v(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 - f**3 - f**3)*(-3 + 1 - 1)*(3 - 1 + f - 3) + (f**2 - 2*f**2 + 3*f**2)*(-4*f - f**2 + 4*f) + 130*f + 9*f**4 - 130*f.\nAnswer: 10*f**4 - 3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 2*x = 34, 2*u + 29 = 5*x - 12 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14324845, 28649693, 42974541, 57299389?\n\"Answer: 14324848*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 3*h - 6. Let v be l(5). Let n(z) = -z - 5. Let r be n(v). Let x = 1 - r. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, 3, 159.8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1006 or 0.0799?\nAnswer: -0.1006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1535788 or -1535799?\nAnswer: -1535799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2856 divided by -6\nAnswer: -476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + 4\/((-4)\/4)*-1. Suppose 5*n = 10, v - n - 11667 + 3916 = m. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.54 - -0.04. Let y = -1 - m. Let x = 71 + -70. What is the closest to x in y, 1\/2, -2\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7489457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l + 2*v - 8 = 4*l, -5*v + 20 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/1*-77*7\/(-98). What is the greatest common factor of 66 and t?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sdndtttentksddksttd. Give prob of sequence ne.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4068 + -1078. Calculate the greatest common divisor of f and 650.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -915 + 1561. Suppose 3*j + 5*n - 9*n - 967 = 0, -2*j + 3*n = -p. List the prime factors of j.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -181, -285, -387, -487, -585, -681?\nAnswer: -775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + 23. Suppose q = 4*q - t. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/16454 and 47\/1044829.\nAnswer: 2089658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*m - 1411773 = -79*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 + 166*z - 508. Let s be i(3). Suppose -w - 2*w = 12. Let r = w + s. Solve v + r + 0 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 110848*o - 1219252. Determine g(11).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y\/y**9)\/y))\/(((y*y*y\/y**(-2\/21))\/y)\/y) assuming y is positive.\nAnswer: y**(187\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000001779986 rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114 (base 6) to base 7.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 3 - 4 - a**2 + 11*a**2 - 25 + 9.\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3266827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 1 + 1)*(-l + 2*l - 6*l) - 3 + l**2 + 3.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -5*j + 8*h + 55, 0 = 3*j + 36*h + 396 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 146 + -149 + -1*2 + (-963)\/(-198).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4*u**3 - u**2 + 8*u - 6. Let l(t) = 4*t**3 + t**2 - 3*t + 1. Let i(m) = -2*f(m) - 3*l(m). Determine i(2).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-92)\/6 + (-17)\/(-51). Calculate the smallest common multiple of 3 and 5*n\/(-50)*446\/3.\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 870*c - 878. Let w be z(1). What is the second biggest value in w, 45\/2, 1\/3, 4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) -3\/2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 20.8896086436?\nAnswer: -17.8896086436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 402, 406, 412, 420, 430?\n\"Answer: f**2 + f + 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 3, 6, -1, -5 in increasing order.\nAnswer: -39, -5, -1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 114305643.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2717, 9346, 19883, 34328?\nAnswer: 52681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven fifths of a millimeter in micrometers?\nAnswer: 9400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) 0.01 (b) -3 (c) 1.99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 1. Suppose -q*i = -15, 2 = -n + i + 6. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*h + 69*h - 1 - 7*h**2 - 173*h**2.\nAnswer: -180*h**2 + 47*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4279.2561us?\nAnswer: 0.00000118868225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 70*y + 67*y - 2.\nAnswer: -3*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10 + (-7)\/(14\/4). Calculate the lowest common multiple of 12\/36 + n\/3 and 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.42283 years to millennia.\nAnswer: 0.01042283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.056 - -0.056. Put r, -1\/10, -1\/2, 11 in descending order.\nAnswer: 11, r, -1\/10, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12609 and 28863.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, c: 4, o: 8, n: 1}. What is prob of picking 1 c, 1 o, and 1 n?\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -33*m**4 + 807867*m**3 - 4944641754*m**2 + 4044928320*m + 898905600 = 0. What is m?\nAnswer: -2\/11, 1, 12240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4 + 462*h**3 - 54273*h**2 + 209764*h.\nAnswer: -h*(h - 229)**2*(h - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**4*z)*z)\/z*z**(-3\/2)*(z\/z**(-1\/2))**(-7\/4)*((z\/(z**(1\/11)*z))\/(z*z**4*z))**43 assuming z is positive.\nAnswer: z**(-23147\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2 + sqrt(11)*1 - sqrt(11) - sqrt(11))**2.\nAnswer: -4*sqrt(11) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 174 = 31*o. Let r(x) = x**2 - 6*x + 8. Let k(m) = 5 - 1 - m - 3. Give o*k(p) - r(p).\nAnswer: -p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15127814 to the power of 1\/2, to the nearest integer?\nAnswer: 3889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100063*n - 100063*n - 3*n**2.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 15\/4 of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(58*y**3 + y + y**2 - 3*y**4 - 58*y**3).\nAnswer: -6*y**4 + 2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 184\/79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.135, -10248\/25, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*(-2)\/75)\/((-7)\/175*-5)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -g**6\/6 - 9*g**5\/2 + 5*g**4\/4 + 140*g**3\/3 + 90*g**2 - 187*g + 3. What is m in c(m) = 0?\nAnswer: -18, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 74002.\nAnswer: 37001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1556891633?\nAnswer: 11, 12866873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 24.2 (b) 1.4 (c) 133800\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8130 divided by 2710.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {u: 1, n: 3, w: 2, a: 3, x: 9}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**3 + 268*g**2 + 3297*g - 4093. What is h(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 33*m**2 + m - 1. Suppose 0 = -5*j + 45, -690*j + 694*j = 4*c - 312. Calculate the least common multiple of c and f(1).\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3\/5, -0.046, -5\/3, -0.4, -0.2, 2\/107?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43 - 35 + 63 + 2*q to the form g + o*q and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1222689 to the nearest integer?\nAnswer: 1106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.116, 2\/9, -12 in increasing order.\nAnswer: -12, -0.116, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4294 is divided by 1368.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**5\/7 + 2*z**4 + 2*z**3\/7 - 2*z**2 - 6*z\/7 = 0. Calculate z.\nAnswer: -3, -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -624.2141 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -95605 and -91813 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**5\/3 - 20*p**4 + p**3 + 182*p**2\/3 + 40*p = 0. What is p?\nAnswer: -60, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z + 8. What is c(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l, 450 = -23*n + 26*n + 2*l. Calculate the remainder when n is divided by 47.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 1. Let g be (0 + -5)*3\/(-15). Let b(n) = n**3 - n**2 + 1. Let w be b(g). Suppose 0 = 7*z + 6 + w. Give i(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 61 and 5?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2960, 3151, 13334, 27589, 45916, 68315?\n\"Answer: 2036*i**2 + 3*i - 4999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 70.849121 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**2 + 7*m + 5. What is b(-5)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 11:39 AM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - 0.25. Let b = 0.25 + l. Let c = 1 + -0.9. What is the nearest to b in 0.5, c, 2\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 6814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 19*t**2 - 11*t - 9. Let c be r(20). Suppose 1 = 4*n - c. Does 43 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17119529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*((-2)\/(-4))\/(-1). Let s = -6 + 9. Suppose -26 = 5*a - s*o, -3*o = -4*a + o - 24. Sort 1, a, i.\nAnswer: a, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + -25 + (-116 - -153)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 7. Let l = 12629.1 + -12629. What is the nearest to 83 in -5, l, n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -165564, -331144, -496726, -662310?\nAnswer: -827896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*n - 355 + 103 = 418. Solve n*q + 20 = -30 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.35388um to kilometers.\nAnswer: 0.00000005035388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 9*t**2 - 4*t - 70. Let m(v) = 29*v**2 - 12*v - 224. What is 7*a(r) - 2*m(r)?\nAnswer: 5*r**2 - 4*r - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-252)\/(-54)*(-21)\/14\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(26221\/104900 + 10\/(-40)) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29963.\nAnswer: 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 4579?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8223351?\nAnswer: 3, 23, 119179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -350 - 184*g**3 - 346 + 1043 - 348.\nAnswer: -184*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**3 + 77*g**2 - 119*g + 153. Give x(37).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 561207, -2 in ascending order.\nAnswer: -2, 3, 561207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o - 3. Let a be c(-6). Let h(f) = -6*f + 84. Let x be h(24). Let t = 182\/3 + x. What is the nearest to t in a, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*i - 3*i - 2*i - 496 + 496 - 34*i + 0 - 2*i + 0 + (3 - 1 - 1)*(-2*i - 3*i + 6*i) + 1 - 2*i - 1 + i + 2*i - i - 2*i + 2*i - 2*i as t*i + y and give t.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 54809 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of 1973*z**6\/15 + z**3\/3 - 1271*z**2\/2 + 3910*z. Find the second derivative of b(t) wrt t.\nAnswer: 47352*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c. Let b(v) = v + 2. Let f(m) = 1. Let r(k) = -b(k) + 2*f(k). Calculate r(j(i)).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 19*g - 42. Let d be o(-21). Suppose 5*p + 4*p - 63 = d. Let c(u) = 2*u - 1. What is c(p)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3520 or 1865?\nAnswer: 1865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t + 14. Let m(g) = -146*g**2. Determine m(x(c)).\nAnswer: -146*c**2 + 4088*c - 28616","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -5627*s**2 - 647107*s - 223. Determine v(-115).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00014910788 rounded to 6 dps?\nAnswer: -0.000149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8179 is divided by 428?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -204\/19 + 13706\/1273. Let m = -0.1 + 0.2. Which is bigger: f or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/3*(-78 - 0). Suppose 27*r - 63 = t*r. Is 4 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p\/(p\/(p**13\/p))))**28\/((p**23*p)\/p*p**(-3\/14)*p))**41 assuming p is positive.\nAnswer: p**(-206517\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -922 and 3.\nAnswer: -2766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*2\/(-26))\/(-1).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 7*y - 2. Let m(a) = a**2 - 6*a + 1. Let j(g) = 2*h(g) + 3*m(g). Let r be j(5). Solve -3*l + r = 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*-12*7\/(-126). Let h(r) be the first derivative of -5\/3*r**3 + 3\/2*r**2 - 1 + 1\/4*r**k - 2*r. Calculate h(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2*k**2 - 1 + 5*k - 5*k**2 in the form g + h*k**2 + z*k and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -190*y**2 + 2*y + 3. Let w be n(-1). Is 24 a factor of 0 + (-2)\/(-4) + w\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*g**3 + 410*g**2 - 1008*g + 648.\nAnswer: -2*(g - 1)*(5*g - 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 883.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -4*r, 4*p - 5*p = 3*r + 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 84050753 or 84050752?\nAnswer: 84050753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(405)*3)**2 + (1 + -2*sqrt(5) - (sqrt(5) + sqrt(605) + 2))**2)*2.\nAnswer: -268*sqrt(5) + 9270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50391196?\nAnswer: 2, 17, 43591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34246.\nAnswer: 2, 17123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 530 and 45?\nAnswer: 4770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 3*q**2 - 7*q + 1. Suppose 3*r - 22 = 5*z + 2*r, 3*z - 5*r + 22 = 0. What is the tens digit of n(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2 = 2*f - 4*p, 5*f - 10 = -p. Let m be ((-1 - -1)\/(-4))\/f. Let t be (-8)\/(-2) - (-2)\/(-2). Solve m = -5*v - n - 21, -v - n - 8 = t*n for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-350)\/6)\/(7575\/(-1818)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3665593*j**3 - 3665583*j**3 - 118 + 118 + 7331174*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2. Let n(h) = -290341*h**2. Give j(n(x)).\nAnswer: -84297896281*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3592 and 19756?\nAnswer: 39512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 361853, 361735, 361565, 361349, 361093, 360803, 360485, 360145?\n\"Answer: c**3 - 32*c**2 - 29*c + 361913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + 2\/((-6)\/(-45)). Suppose -b = -0*b - q. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 13*b - 5. Solve 6 = -8*p - b for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*b*y**4 - b*y + y**4 - 79*y**2 wrt y?\nAnswer: 672*b*y + 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*n + 6*n + 72*n - 14*n**2 to the form m*n**2 + f*n + h and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3)*(-5*q**2 - q**2 + q**2) - q**2 + 2*q**2 - 2*q**2 + (-q - q + 4*q)*(q + 3*q - 2*q) + q**2 + 3*q**2 - 2*q**2 + 0*q**2 - 2*q**2 + q**2.\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/((m**9\/m)\/m)))\/m)\/m*(m\/m**(2\/15))\/m assuming m is positive.\nAnswer: m**(73\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-11) + 522\/(-33). Let t = u + 43. Is 9 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -w + 440, 5*w - 2154 = -l - l. What is the second derivative of -16*f + 430 - w - 5*f + 6*f**2 wrt f?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/14)\/((-18)\/84)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 205 + -301. Let w(t) = -43*t - 313. Let x be w(-6). Let i = x - a. Calculate the remainder when i is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -8, -5*x - 178 = -5*k + 127. Let q be x\/25*1 - (-6)\/10. Let s be 784\/(-200) + 4\/1. Which is bigger: q or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -804*b**2*d*v + 4488882*b**2 + 2*b*d*v - 4*b*v + d + 30*v wrt v.\nAnswer: -804*b**2*d + 2*b*d - 4*b + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 56\/(-8) + 7 + (-4)\/(-12). Let j = -0.03 - -2.03. Let f = 2.5 - j. Which is the nearest to o? (a) -0.07 (b) f (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*i = -10, -j + 0*j + i = 0. Suppose -3*p = -2*p, -p = -j*y - 5. Which is the third biggest value? (a) -2\/7 (b) 1\/23 (c) y (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8 + 30\/5)*60\/(-8). What is the greatest common factor of c and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 25 = 5*j - k, 5*j - 25 = -3*k. Solve 0 = -b - 1, b + 3*b - 11 = j*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*q - 25*q = -15. Solve 0 = q*p - 3 - 12, -4*w + 4*p = 28 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -215*w - 21. Let i be n(-3). Let t = i + 229. Is t 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 36049 and 13442?\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 220*6\/8*56\/70. Calculate the highest common divisor of 4125 and j.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -375*n + 4843. Determine a(13).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*4\/12*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -0.93\nAnswer: 0.279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6073307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 7*o**2. Let m(v) = -v + 2. Let q be m(-6). Let d(x) = 8*x - x**2 - q*x. What is t(d(g))?\nAnswer: 7*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 577 = -0*u - 3*h, -4*u - 2*h + 574 = 0. Let o = -1280\/9 + u. Which is the closest to -0.06? (a) o (b) -0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 124*r**2 + 2852*r. Let q be s(-23). Put -2, q, 3, -1, 153 in increasing order.\nAnswer: -2, -1, q, 3, 153","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560.2704 centuries in years?\nAnswer: 56027.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-475)\/95 + 16 - (0 - (-151)\/14)\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316941 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2171 - 2171.4. Let p = 0.05 - 3.05. Let q = p + 0. Which is the closest to -0.1? (a) s (b) 0.3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 0.2 (c) -0.1 (d) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/10 + (-107364)\/60. Let z = 2869 + p. What are the prime factors of z?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01404742355 rounded to four dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -4189*h + 23. Let x be q(7). Round x to the nearest one thousand.\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1987416, 3974828, 5962240?\n\"Answer: 1987412*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of 20 + 17\/3*t**4 + 1\/3*t**6 - 34\/15*t**5 + 0*t + 8\/3*t**2 - 56\/9*t**3. Suppose x(l) = 0. Calculate l.\nAnswer: 0, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.999977 - -11. Round p to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 8*f**2 + 77*f + 33. Determine a(-16).\nAnswer: 849","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.72 + -0.62. Which is the second smallest value? (a) -2\/5 (b) 7 (c) -3 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 12:50 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -68 + 65. What is the remainder when 57 is divided by (17 - (y - -2)) + (-4)\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -560 by -5.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -26*t**2 + 396*t - 81. Determine d(15).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 418730 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o - 359 + 722 - 353.\nAnswer: 3*o + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5*r + 47 = 2, r + 33 = 5*h. Solve 0*s - h = -4*s + 5*p, -2*s + 5*p = 2 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12320 by -176.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 0 + -2)*82\/2. Let d be y\/(-4) - 4\/16. Let g = 0.09 - 0.09. Put 0.1, d, g in decreasing order.\nAnswer: d, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 11*q + 33*q)*(-3 + q**4 + 3).\nAnswer: 24*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j - 12*j - 55 = 0. Which is the nearest to 0? (a) j (b) -2\/7 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - u**2 + u**2)*(-7*u**2 + 0*u**2 + 0*u**2 + (-4*u**2 - u**2 + 3*u**2)*(1 + 2 - 1)).\nAnswer: -11*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3689439 is divided by 122981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((294\/(-56))\/((-5)\/(-140)*7))\/(-6).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1452 - 14?\nAnswer: 1434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1086302 is divided by 818.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 601 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - o = -26, -10 = 2*g - 4*g + 3*o. Let c be 156\/18 - 6\/9. Let p = c - g. Solve p = 4*l - 2*l + 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 + 12*s - 34*s - 29*s.\nAnswer: -2*s**2 - 51*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.48 less than -1.4839?\nAnswer: -1.9639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 10*g + 4*p + 27 = 0, 33 = 3*g + 4*p. Suppose -59*m = -56*m - g. Solve m*l + r - 10 = 0, -3*l + 17 + 6 = 4*r for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.24 + -2.24. Which is the third smallest value? (a) 2 (b) n (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1415 - r**3 - r**4 + 1447 - r**3 + r - 2*r**2 to j*r**4 + g*r + d*r**3 + s + k*r**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -1, 4, 0.06 in ascending order.\nAnswer: -1, 0.06, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*f = 374 + 60 - 171 + 607 for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15 and 0.492?\nAnswer: -7.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 997*f**3 + 1006*f**3 - 2021*f**3.\nAnswer: -18*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1181 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5\/14352 - -15274121\/14352. Let p = -1058 + b. What is the common denominator of -29\/32 and p?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*j - j + 11*j - 73*j - 11*j.\nAnswer: -84*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n - 1. Let r be 0 + -6 + (-26 - -26). Let d(l) = -3. Calculate r*u(h) + 2*d(h).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -5*u**8\/336 - u**7\/21 + u**5\/6 + 5*u**4\/24 + 38*u**2 - 11*u. Let q(h) be the first derivative of t(h). Factor q(i).\nAnswer: -5*i*(i - 1)*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4606995?\nAnswer: 3, 5, 281, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9\/2 - 4. Put -0.4, 4, p in ascending order.\nAnswer: -0.4, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2391, -4754, -7093, -9414, -11723?\nAnswer: -14026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = l - 5*h - 7, 2*h - 10 = 3*l. Suppose l = x - 9 - 0. Suppose 0*m + m = x. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iimkkkmkmmmmm. What is prob of picking 1 i and 2 m?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9991 = 60*i - 108569. List the prime factors of i.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31.4 - -31. Which is the third biggest value? (a) -11 (b) -5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of 39\/2*v**3 - 1\/30*v**6 - 1\/3*v**4 + 0*v**5 + 0*v - 127*v**2 + 0. Differentiate p(c) with respect to c.\nAnswer: -12*c**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 2:15 PM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50 + -67. Let u = p + 19. Let z = -4 - -5. Solve -u*v - z = 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(171)\/sqrt(3) - -1*sqrt(1425))\/(sqrt(12)*5 + 4*(sqrt(9)\/sqrt(3) - sqrt(3))).\nAnswer: sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -51545 and -2?\nAnswer: 103090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 7*k**2. Let s(w) = -341761*w**2. Give s(z(v)).\nAnswer: -16746289*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 646 + 139 = 5*t, -d + 4 = 0. What is the remainder when t is divided by 55?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 21 = -8*a. Let q(w) = 9*w**3 + 3*w + 6. Let m(u) = 4*u**3 + u + 3. Let t(f) = -5*m(f) + 2*q(f). Let g(r) = r**3 + 1. Calculate a*g(v) + t(v).\nAnswer: v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 224 + 6. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6398387 is divided by 65.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 395782495 to the power of 1\/3, to the nearest integer?\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p - 6*p + 0*p. Let o(n) = n + 10. Suppose 3*z + j = -23, -4*j + 1 = 2*z + 13. Let h be o(z). Calculate m(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 6*p + 5*i - 9*i, -5*p + 4*i + 18 = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4549 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 4*j**2 - 5*j. What is a(4)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 963*j**6 - 1548*j**2?\nAnswer: 115560*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9683660, 19367328, 29051010, 38734712, 48418440, 58102200?\nAnswer: 67785998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 17*p - 102 = 0, 5*p = -5*s - 84 + 54 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zck when three letters picked without replacement from zcooako.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**2 - 177*s**3 + 347*s**3 - 167*s**3 + 4*s**2.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 31*h + 5. What is j(31)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-1*sqrt(54))\/sqrt(3))**2*-5.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 627801947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1857 + -1856.5. Sort -58, 2, 3\/2, j in descending order.\nAnswer: 2, 3\/2, j, -58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 5. Suppose -16*d + 13*d + 54 = 0. Is l(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 8*p**3 + 8*p + 9 + 6*p**3 - p**2 - 28*p**3. Let f be y(-1). Let q(v) = v**2 + 8*v - 22. Let s be q(-11). Solve -f - s = -5*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, d: 4}. Give prob of sequence ssss.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 l, and 1 q when three letters picked without replacement from {b: 10, l: 7, q: 1}.\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1647 is divided by 330?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -9, 18\/5, 0.3, -93, -13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**2 + 32*c + 80. Calculate n(-12).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11 - 6a44b?\nAnswer: -6a43a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -5*f**4\/12 - 695*f**3\/3 - 96605*f**2\/2 - 16*f - 1. Let p(l) = 0. Calculate l.\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 10. Let i = -284 + 4262\/15. Which is the closest to -1? (a) -4 (b) i (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {q: 5, r: 1, n: 3, s: 6, w: 2}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 24*l**2 - 87*l - 21. Let y be c(5). What is the highest common factor of y and 2432?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**4 - 2*z**4 + 0*z**4 + (-1 + z + 1)*(4 - 2*z**3 - 4) - 10693*z**2 + 102*z**4 + 10693*z**2.\nAnswer: 99*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 463603?\nAnswer: 7, 103, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3391424277 to the power of 1\/3, to the nearest integer?\nAnswer: 1502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89366, -178719, -268078, -357443, -446814, -536191, -625574?\nAnswer: -714963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27)*-2*2 - 1*sqrt(27)*-4 - (-4 + sqrt(27)*-1*-6))**2 + -4)*-1.\nAnswer: -984 + 144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 r when two letters picked without replacement from ccwckrqruuuc?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (2*-1*sqrt(1700) + sqrt(1700) + -5*sqrt(1700)*-2 - ((sqrt(1700) - -2*sqrt(1700)*-2) + 3)))**2.\nAnswer: -1920*sqrt(17) + 244864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 - 15 = 5*x. Suppose -11 = -3*g + 7. Suppose -2*q + x = -g. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18904919893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(243)\/(sqrt(36)\/sqrt(4)))\/(sqrt(576)*-3))**2.\nAnswer: 25\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6253.152 nanograms to kilograms.\nAnswer: 0.000000006253152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*c**2 + 32*c**2 + 690*c - 669*c + 41*c**2 to the form t + h*c**2 + m*c and give m.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(2\/(-4) - -1). Suppose -x - 5 = l, 3*x + 19 = -5*l - 0*l. Let k = -2 - x. Solve k + 7 = 4*o, -5*f + z = -2*o for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 14*v - 14. Let b be g(-12). Suppose b*u = 3*u - 16730000. What is u rounded to the nearest one hundred thousand?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 11*i**2 - i - 9. Let n be s(-11). Let h(r) = -n*r - 5*r - 6*r + 12*r. Let v(z) = 8*z**2. Give v(h(j)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6228\/1730*(-10)\/(-18). Suppose -5 + g*o - 1\/5*o**2 = 0. What is o?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55506 divided by 66\nAnswer: 841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5603 - -9353. List the prime factors of u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3\/8, -247.5, 4 in descending order.\nAnswer: 4, 3\/8, 0, -247.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3189626, -3189624, -3189622, -3189620, -3189618?\n\"Answer: 2*h - 3189628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rwgr when four letters picked without replacement from wgwwrrw.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30813 divided by -31.\nAnswer: 30813\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 2*i + 2*i)*(-2*i**2 + i**2 + 2*i**2) + (-1 + 0 + 0)*(-5*i**3 + 21*i**3 + 15*i**3).\nAnswer: -29*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 2*g**2 + 16*g + 27. Determine c(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 12 = 4*l, -17*n - 21 = -16*n - 5*l. Sort 5, -8, n, 0 in increasing order.\nAnswer: -8, 0, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 88.41 - 88. Round k to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1042, -975, -798, -457, 102, 933, 2090?\nAnswer: 3627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 276037281?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -520*f = -504*f - 1227920. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 159*c - 7. Let o(x) = 10*x**2 - x - 92. Calculate o(y(t)).\nAnswer: 252810*t**2 - 22419*t + 405","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 9*l + 5. Let b be g(0). Suppose r - 6*r = 0. Solve 2*z - o + 0*o = -6, r = -z + o - b for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1719615 to the power of 1\/3, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -12*i - 5. Suppose 0 = 6*j - 2*j - 12. Suppose -25 = 5*g, 3*p - 8*g + j*g - 7 = 0. What is the tens digit of f(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/4)\/(1\/((-16)\/(-12))). Let a(m) = u + 31*m - 6 - 8*m. Let s(n) = 2*n**2. What is a(s(l))?\nAnswer: 46*l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*n**4 - 1)*(-2*n + 4*n + 0*n) + 3*n**4 - n**5 - 3*n**4 - 16*n**2 - 5*n**4 - 23*n**2 + 2*n**5 + 38*n**2.\nAnswer: 5*n**5 - 5*n**4 - n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80002*y**2 + 409 - 833 + 424.\nAnswer: -80002*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, 10, 281, 960, 2221?\nAnswer: 4238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -326*z - 25425. Determine j(-78).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 189 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8562, -34087, -76628, -136185, -212758?\n\"Answer: -8508*y**2 - y - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 5*w**2 + 2*w + 0*w + w**3 + 4*w + 5. Let q(s) = -s**2 + 7*s + 1. Let v be q(8). Let f = v - -3. Calculate n(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 2 = -g, -5*g + 6*n + 9 = 13 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 - 0.2. Let z = -19.25 - -23. Let q = 0.25 + z. What is the second smallest value in -2\/7, q, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**2 + 8*f - 4. Let x(z) = -2*z**2 + 7*z - 3. Suppose 6922*n = 6911*n + 44. What is n*x(j) - 3*k(j)?\nAnswer: -2*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 6, -38, -6 in descending order.\nAnswer: 6, 2, -5, -6, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46225257 to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4758 - 4758 - 2*f. Let h(q) = -14*q. Determine d(h(k)).\nAnswer: 28*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jojh when four letters picked without replacement from oooejjjjjhzjjoje.\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.141 and -879.46.\nAnswer: -879.319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*((-228)\/760 - 8\/(-10)). Put 0, 31, -2, l in descending order.\nAnswer: 31, 0, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3499 - 0.8499. What is the closest to j in -1, 9, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z*((z\/(z*z**(1\/15)*z))\/z)\/z*z*z)*z*z)\/z**(3\/4))**(-1\/12) assuming z is positive.\nAnswer: z**(-79\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*t - 4*q - 16, 5*t - 2*q - 8 = 0. Let z be 2 + -1 + (-2 - t). Calculate the smallest common multiple of 11 and 1 + z\/((-2)\/4).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 32452, 32453, 32454, 32455?\n\"Answer: u + 32451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-1140)\/(-132) - (3 - (-8 - 1035\/33))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/4 + 11*u\/2 + 23\/4.\nAnswer: -(u - 23)*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 - 0.3. Let p = 4.9 - 5. Let n = p - -0.6. Which is the second smallest value? (a) n (b) h (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/6 + 0\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38528.131095 take away -3?\nAnswer: 38531.131095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 473469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(833)*5*1 + -5*((sqrt(833) - (sqrt(833) + -1) - sqrt(833)) + -2))**2.\nAnswer: 1750*sqrt(17) + 520650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32335554 (base 6) to base 13.\nAnswer: -278917","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 142267 + -47305. What are the prime factors of l\/66 + (-6)\/(-33)?\nAnswer: 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(-11026*o**3 - 3086*o**3 + 1424*o**3).\nAnswer: 12688*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -4.5. Let n = f - -5.5. Put n, -2\/9, -1 in increasing order.\nAnswer: -1, -2\/9, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -42683?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 679682 and 1104?\nAnswer: 375184464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3*v = 85 - 4, -83 = 3*x - 2*v. Let p = x + 33. Suppose -9 = -2*y + w, 4*y + 8 = -p*w - 4. Solve 5*h - y*h - 9 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + t**2 - 4*t. Determine n(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -i**4\/12 + 13*i**3\/6 - 1738*i**2. Let u(o) = -2*o + 14. Calculate 5*h(q) - 4*u(q).\nAnswer: -2*q + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 5*f**2 + 6*f + 7. Let q be g(6). Factor q*o**5 - o**2 + o - 19*o**4 - 3*o - 13*o**3 + 28*o**3.\nAnswer: o*(o - 1)**3*(7*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1289.\nAnswer: 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -88 or 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + h + 6 = 123, -k - 4*h - 36 = 0. Let d = 51 + k. What is the least common multiple of d and 33?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) 133 (b) -1502 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n**2 - n**2 + 808*n + 12770 + 18*n**2 + 28034 - 6*n**2 = 0.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -b0a (base 14) to base 15\nAnswer: -996","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 9*b**3 - 3*b**2 - 5*b. Let q(y) = -22*y**3 + 8*y**2 + 12*y. Let x(f) = 2*f**3 + 35*f**2 - 20*f - 41. Let r be x(-18). Calculate r*q(a) - 12*v(a).\nAnswer: 2*a**3 - 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k + 48 + 64 = 0. Let d(t) = -38*t + 37*t - 5 + 0. What is the lowest common multiple of d(k) and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 25*w - 126 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -17\/431298?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p - 7. Let h(c) = -21*c - 36. Let x(g) = -h(g) + 5*y(g). Let o(s) = 7*s**2 - 42*s - 42. Calculate o(f) + 42*x(f).\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360) - -1*sqrt(360))\/sqrt(10) - sqrt(36))\/(sqrt(144)\/sqrt(192)) + -4.\nAnswer: -4 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -0*t + 4. Suppose t*v - 20 = v. Solve 4*h - 9*h - v = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3557, -7120, -10707, -14330, -18001, -21732, -25535?\n\"Answer: -2*m**3 - 3549*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, t: 3, u: 10, e: 1, c: 5}. What is prob of picking 3 u and 1 c?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + f = -15. Suppose 4*o + h + 27600012 = -3*h, -f*o + 3*h - 34499991 = 0. What is o rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 1:50 AM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7796, 30998, 69674, 123830, 193472, 278606?\n\"Answer: y**3 + 7731*y**2 + 2*y + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 942.7104904 rounded to the nearest integer?\nAnswer: 943","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 61844698 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 9 + 6 = 0. Suppose -4*o - z = -83. Suppose -3*x + o + 16 = 3*v, -3*v - 4*x = -30. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90973.5 rounded to the nearest one thousand?\nAnswer: -91000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -4, 0.77, -431 in increasing order.\nAnswer: -431, -4, -0.3, 0.77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1, 0.02, 2, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 4:02 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (2 + -4 + -1 - -4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 589300102?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/2 in 1, 0.5, -4\/19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -4659.\nAnswer: 18636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 3*p + 5. Suppose -2*q + 2217 = -3*o + 2188, -40 = -4*q + 4*o. Solve -c = -p - q for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18023788 to the power of 1\/3, to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -17*y**2 - 37*y - 72 + 37*y**2 + 9 - 17*y**2. Determine b(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8986 + -8986.03. What is the nearest to 1 in w, -0.5, 0.082?\nAnswer: 0.082","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, 4\/444311, 4, -2\/13, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of d**4\/18 + 58*d**3\/3 + 2523*d**2 - 536*d. Factor j(k).\nAnswer: 2*(k + 87)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5298 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 9:43 AM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 103220 and 130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -834 + 839. Solve -181*m + c = -182*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-56)\/(-196))\/(16\/448*-60)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrkkrrrrrrrrrrrr. What is prob of picking 4 r?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.21398nm in meters?\nAnswer: 0.00000006621398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 401.0566 - 0.0566. Let l = t + -405. What is the closest to 0.48 in 2, 0.5, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -u**4\/12 - u**2\/2 + 5*u. Let s(f) = -3*f**3 - 5*f**2 - 5. Determine -5*n(j) + s(j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -341 - 41 = 77*y + 3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -197 + 93. Let y = c - -109. Solve 2*b + y*n - 37 + 4 = 0, -5*b - 4*n + 40 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*t = 4*b - 10, -5*b = -5*t - 10. Let o = b + 1. Sort o, 4, -4 in descending order.\nAnswer: 4, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210223 (base 4) to base 2.\nAnswer: -100100101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3*-7.3\nAnswer: -21.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/((-5)\/9)*-1. Let v(q) = 1 + 16*q - x*q - 6*q. Suppose 0 = 3*a - 8*a - 5. Let s(l) = -8*l - 7. Determine a*s(z) - 6*v(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274 is divided by 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 8*x - 4. Let n be h(3). Let a = 1096 + -618. Suppose 6*k - a - 602 = 0. Calculate the greatest common factor of n and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2518 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 55 + 59 - 105 + 11*i**2 - 79*i. Let a(u) = -6*u**2 + 40*u - 4. Let b(f) = -9*a(f) - 4*x(f). What is the second derivative of b(v) wrt v?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -2) + 4 - 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -712 divided by -8.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 3*j - 38, -5*j = -4*d - 62 + 11. Let n be (0 - 3)\/(3\/(-100)). Suppose l = n - 1. Calculate the greatest common divisor of l and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34263*w**2 - 2858*w**2 + 263*w - 263*w.\nAnswer: 31405*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 5 + (1 - -2 - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 22635?\nAnswer: -22632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1544 divided by -19248.\nAnswer: 193\/2406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/4122547 and -41\/11557?\nAnswer: 28857829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-3\/25))\/c)\/c**28 assuming c is positive.\nAnswer: c**(-703\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 49, 207, 481, 877, 1401, 2059?\n\"Answer: m**3 + 52*m**2 - 5*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 2 (c) -0.3 (d) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373245 is divided by 93244.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of 1\/90*z**6 - 1\/45*z**5 + 0 + 2\/315*z**7 + 0*z - 1\/18*z**4 + 0*z**3 + z**2. Suppose t(a) = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3 = -2*o + 7, -3*s + 4*o - 20 = 0. Let n be -2*((-5)\/15)\/(3\/9). What is the third biggest value in n, -0.3, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + g + 5. Suppose 0 = -j + 6*j. Let o be x(j). What is the derivative of 3*t**2 - o + 2 - 9 + t**2 wrt t?\nAnswer: 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 864 and 432.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*-1*2\/6. Which is the nearest to 0.1? (a) x (b) 3\/7 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3450429?\nAnswer: 3, 107, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**3 + 44*j**2\/7 + 34*j\/7 + 4\/7 = 0.\nAnswer: -2, -1, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a decade in months?\nAnswer: 1620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llyqqlyqlqqyl. What is prob of picking 2 q and 1 y?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5337 and -47?\nAnswer: -250839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 12:55 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 432 by -1.\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 372579 and 10?\nAnswer: 3725790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1380, -2754, -4154, -5592, -7080, -8630, -10254, -11964?\n\"Answer: -2*c**3 - c**2 - 1357*c - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of h**4\/4 - h**3\/3 - h**2\/2 + 32*h + 10. Let f(r) = r**3 + 21*r**2 + 86*r - 24. Let z be f(-6). What is i(z)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.94 rounded to 0 decimal places?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -146, -263, -400, -557, -734, -931, -1148?\nAnswer: -1385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10647934 is divided by 4207?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 1432?\nAnswer: 286.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18271.53 months to centuries.\nAnswer: 15.226275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 585001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-1 - 20) + 13\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*t = 4*k - 24, -3*k + 5*t + 4 = 0. Calculate the remainder when 20 is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -1. Let p = 1000.4 - 1102. Let w = 102 + p. Which is the nearest to -2\/5? (a) w (b) j (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 12:12 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -577*v - 2569*v - 49609 = 296451 for v.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -34916*w**3\/3 - 11650*w**2 + 23266*w + 68\/3 = 0?\nAnswer: -2, -17\/17458, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3014.753l in millilitres?\nAnswer: 3014753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -97.71 and 16.7438288.\nAnswer: -80.9661712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jn when two letters picked without replacement from jppnjppppppnjjppjpp.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -9*s**2\/2 - 10*s - 24. List the prime factors of z(-9).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-18) - 5\/(-18). Let c = -8 - -7.7. Let f = -0.4 - c. What is the closest to -0.1 in f, -1\/4, q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 242, -218\/9, -1?\nAnswer: -218\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*11\/33*(1 + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -62278*m + 187735. Calculate o(3).\nAnswer: 901","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 0*z + 5*w + 5 = 0, 4*w + 4 = 0. Solve 17*p - 9*p = z for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 267*n + 29931. What is r(-112)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*i = 65, -5*n + i + 161 + 202 = 0. Suppose -3*g = -4*q - 4*g + 131, 2*q = g + n. Calculate the highest common factor of q and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2eb - 59a9?\nAnswer: -5c94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160*j - 159*j + 502*j - 173*j.\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.063 in 0.01, -1\/5, -0.01, 2\/7?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -210720 divided by -40\nAnswer: 5268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*j = -101*j - 10248. Let p(g) = g**3 + 7*g**2 - 3*g - 1. Let s be p(-6). Let v = j + s. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -2. Suppose -2*j = -2*w + 4*w, -r*j = 5*w - 12. Suppose 0*l - 4*d = w*l - 64, 5*l = 2*d + 87. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/85 - -346\/255. Let q = 1.4 - -0.6. What is the second biggest value in 0.2, q, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 - 3*c - 5*c + 1 - 2*c + 0*c + 0. What is d(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 117395806?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21.4 + 20.4. Which is the third smallest value? (a) 2\/9 (b) -0.17 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*b - 1. Let s(w) = -w**2 - 5*w + 1. Give s(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -10. Let r be (-12)\/(-2) - 0\/3. Suppose -118 = -k*a + r. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1143063058 to the power of 1\/2, to the nearest integer?\nAnswer: 33809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)*-2*2)\/(2*sqrt(36)\/sqrt(3)).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + 18. Suppose 16 = 3*d - l - 0*l, -l + 19 = 4*d. Put n, -2, d in ascending order.\nAnswer: -2, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.310184 to 1 decimal place.\nAnswer: 28.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 + -5.5. Let t = -36746 + 36747. What is the nearest to t in 0, 10, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2\/7 - 12440829*o\/7 + 24881670\/7.\nAnswer: -3*(o - 2)*(o + 4146945)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14342 - -26643. Is 23 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/(-4*(sqrt(14)\/sqrt(2) + sqrt(7) - sqrt(7))) + 3*(sqrt(7) + (sqrt(28))**2 + -4) + -1 + -4.\nAnswer: 11*sqrt(7)\/4 + 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.1 + 1.9. Let f = v + -8. Which is the smallest value? (a) 3 (b) 4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 62*d - 6 + 2 - 63*d. Determine v(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - 25. Let h = k + 37. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**20)**(-6\/13)*w*w**(2\/21)*w**(-40)*w)**39 assuming w is positive.\nAnswer: w**(-12868\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 406589452?\nAnswer: 2, 71, 1163, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, m: 5, w: 4}. Give prob of picking 1 j and 1 w.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/10? (a) -4\/117 (b) -2 (c) -1\/3 (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.007 (b) 0.42 (c) 0.3 (d) 2 (e) -2\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from allllkkllekealle. What is prob of picking 1 l, 1 e, and 1 a?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -122*t**4 + 259*t.\nAnswer: -1464*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 136 = -74. Suppose -5*g = 2*g - v. Let q(s) = 8*s + 4. Calculate the least common multiple of q(g) and 6.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1156 divided by 1?\nAnswer: 1156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 26801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m - 4424*m**2 + 28 - 28 + 4506*m**2 in the form j + z*m**2 + t*m and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1888 is divided by 375.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 1\/8, -2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 4*u**5 + 124*u**4 + 76*u**3 - 12876*u**2 + 62496*u - 84672 = 0.\nAnswer: -21, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 128607?\nAnswer: 257214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 1. Let f = 7 - i. Let q = -2 + f. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3978 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.59 + -4.09. Which is the third biggest value? (a) -2\/11 (b) w (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7680080 and 4608048?\nAnswer: 23040240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - (-2 + 2 + 5)) + 0 + -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p - 2. Let s be q(4). Solve 6 = s*u + 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*j - 4*j + 18235 = 0. Let q = 955 - j. What are the prime factors of q?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/71 - -79\/284. Which is smaller: -4 or p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 17\/6 of a week?\nAnswer: 476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 170776 and 37.\nAnswer: 6318712","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Is 113317580 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 840 = -0*o. Calculate the remainder when 87 is divided by 2\/(-3) - 3640\/o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6.7, 3, -0.3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-320)\/16*2*6\/(-24).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 5*p - 49, -3*p - 4*l + 0*l + 31 = 0. Suppose 0 = 4*n + 2*h - 4*h, -2 = 4*n - 3*h. Calculate the highest common factor of p and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3125290 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (162\/24)\/(3\/60). Let f = m + -35. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1581)\/(-105) - (-672)\/(-11760).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 4. Suppose 2*n + d = 4. Suppose -1 = n*f - 3*f. Does f = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**3 + k**4 - 2*k**3)*(-1 + 2 - 2) - k**4 + 0*k + 0*k - 30*k**4 + 11*k**4 - k + 9*k**4.\nAnswer: -12*k**4 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 243 + -277. Let r be 1 + 10 + 170\/h. What is the highest common factor of r and 162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 268615.925 and -0.1?\nAnswer: -26861.5925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -387 + 218. Let h = 1181\/7 + w. Which is the third smallest value? (a) -5 (b) -0.4 (c) 2\/5 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18011617 divided by 3?\nAnswer: -18011617\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 3\/5, -4, -0.04?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 7*o. Let d(q) = 15664*q**2. Give n(d(c)).\nAnswer: 109648*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - (-7 - -2)) + 29. Let w be t\/703 - (-84)\/(-798). Which is smaller: 1\/5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3\/7, 0.02, -3\/4, 16 in descending order.\nAnswer: 16, 0.02, -3\/7, -3\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 2, -2 in increasing order.\nAnswer: -2, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 409160628 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/2 (b) 0.6 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*199.\nAnswer: -995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0566 - 5556758.58.\nAnswer: -5556758.5234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 804066 to the nearest integer?\nAnswer: 897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -1 - 102*p**2 + 99*p**2 + 1. Let z(o) = -5*o**2. What is q(z(m))?\nAnswer: -75*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10723010, 10723009, 10723008, 10723007, 10723006, 10723005?\n\"Answer: -x + 10723011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**3 - 183*h**2 + 449*h - 716. What is q(89)?\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -377 + 560. Calculate the common denominator of (-25)\/(-180)*z + (-2)\/3 and 89\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17481 and 3?\nAnswer: 17481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90 - f + 8*f - 3*f - f.\nAnswer: 3*f + 90","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -31*z - 87. Let t be i(9). Let h = 1837\/5 + t. Find f, given that -1\/5*f**3 - 2\/5*f**2 + h*f - 4\/5 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -1052862.\nAnswer: -1\/350954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4623943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5\/7 + -3\/14. Let d be (1 + 0)\/(-2 + 3 + -2). Which is the smallest value? (a) d (b) x (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 903320 and 3320?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + -11)\/2*(-6)\/4. Let o be ((-10)\/(-2) + -2)*2\/r. Let z = -4\/15 + o. What is the third smallest value in -0.4, -2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - 21 - (1 + 3) - -1) + -4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u + 11. Give p(8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w**3 + 2*w**2 + w. Let c be g(-1). Let j(d) = d**2 + d + 1. What is the tens digit of j(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3042\/(-195))\/(4\/(-30)). Let x = -72 + n. What is the remainder when x is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 3*f + 27 = 3*n, 2*f - n + 2477 = 2460 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + 0. Solve f*w = 2*w - 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) -0.2 (c) -4 (d) 3\/92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*a - 21 = 9 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 1 = -2*h, c - 1 = -h - 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2802*n - 1772*n + 1386*n + 5033*n.\nAnswer: 7449*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaal when four letters picked without replacement from lalaaabal.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/1058 and 107\/2530?\nAnswer: 58190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3.37572ms?\nAnswer: 0.00337572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 846 divided by 47?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*u = -5*x + 1300, -4*x + 4*u = -1024. Suppose -5*m = -x - 27. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003662 rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 110121649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 + 0. What is the nearest to -1\/2 in -1\/4, d, 8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 5:33 PM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 50.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7059766, -7059768, -7059772, -7059778, -7059786?\n\"Answer: -f**2 + f - 7059766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -587 + 1132 + i - 528. Let f(x) = 50*x**2. What is f(t(y))?\nAnswer: 50*y**2 + 1700*y + 14450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-28) + 2505\/210. Let d be (12 + 0)*(5 + -2). Calculate the greatest common divisor of d and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -u**5\/30 + u**4\/24 + u**3\/6 - 8*u**2. Let b be a(-1). What is the closest to -0.1 in -0.4, b, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -72 - (-2 + 1 + (14 - 7) + -4).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5625*d**3 - 4432800*d**2 - 236404*d - 3152.\nAnswer: -(d + 788)*(75*d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -t**4\/12 + 5*t. Let g(d) = -2*d. What is y(g(l))?\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 133 + -139. Let n(o) = -9*o - 1 - 2*o + 7*o. Let t(i) = 2*i - 8*i - 5*i - 3. Calculate q*t(p) + 17*n(p).\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**2 + 3*q - 20. What is the tens digit of u(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/6 + (-56)\/60 + (-90)\/(-150). Which is bigger: g or -16\/157?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 381 is divided by 96?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39034.\nAnswer: 2, 29, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -135, 0.31 in decreasing order.\nAnswer: 3\/5, 0.31, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**3\/7 - 987890*t**2\/7 - 1411250*t - 24696750\/7 = 0. What is t?\nAnswer: -493935, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-33) + (-57)\/(-11). Suppose 0 = -s + r*s - 28. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-58)\/(-6*38\/114)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2.57 (b) 1\/17 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 342\/(-72) - (-3 - 3).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 257 - 14. Let c = k - 10. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2147 - 116?\nAnswer: 2031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -9. Let h(a) = 3*a - 5. List the prime factors of h(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 46 = -5*k, -4*x + 96 = -k - 46. What is the remainder when x is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -26*n + 857. Let t be f(33). Suppose -3*i - 475 = 2*i. Let q = -377\/4 - i. What is the closest to t in -1\/8, 0.4, q?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 d, and 1 h when three letters picked without replacement from hwhhdhhhhhuhhht?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 1.1, -290, -1\/205?\nAnswer: -1\/205","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5391 + 6844. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10992224?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6434.06 and -445072.398.\nAnswer: -438638.338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 2076.3 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -2 - 12) + -15 + 7\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -565*v + 303. Calculate o(0).\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 172 - 622. Let x = 4952\/11 + k. Is x != -26\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -4)*-1*(-3 + 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k + 7. Let d be n(-6). Let x(y) = d - 1 - 4*y**3 - 6*y**2. Let o(j) = -7*j**3 + 6*j**3 + 2*j**2 - 2*j**2 - j**2. Give -5*o(c) + x(c).\nAnswer: c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*n + 3*n - 2*n)*(n - 2 + 2) + 2 - 2 - 2*n**2 + 3*n**2 - 3*n**2 + n**2 + 15*n**2 + 2 - 1066*n + 1066*n in the form z + c*n + h*n**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 108274655 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*30\/(-25))\/(((-330)\/(-75))\/11).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3 = 13. Let o be -3 + (-3769 - (2 - p))\/(-2). Round o to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -254*r**3 - 5*r**2 + 124*r + 41. Let k be l(13). Round k to the nearest ten thousand.\nAnswer: -560000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 336013 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -384880.5256659 minus 0.2?\nAnswer: -384880.7256659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/9)\/((31\/(-31))\/(1\/(-2)))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-2) - (-28)\/24. Let l = 3.31 - 6.31. What is the closest to 1 in 1, a, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(2)*-2) + (sqrt(10)\/sqrt(2)*3)**2.\nAnswer: -sqrt(5)\/2 + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -6. Suppose 96*h = 74 - 458. Put g, h, 2 in descending order.\nAnswer: 2, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxqwppeq. What is prob of sequence we?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/(-4) - 11099\/(-11099)?\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -11, 5, 4 in ascending order.\nAnswer: -11, -4, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11352 - 11356. Which is the closest to -2? (a) 4 (b) 72 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/6 (b) -0.3 (c) -2 (d) -3.83 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, -0.1, -136?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/4 and 2\/279 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89971 is divided by 1799?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4769 is divided by 1538?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20366*u + 8594?\nAnswer: -20366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/(-2)*9\/27. Suppose b*x - 51 - 29 = 0. Suppose -6*n = -n - x. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 5*h. Let d be n(3). Solve -p + y - 5 = 0, -4*p + p + 4*y = d for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -4*w + 125. Let b be 4\/w - (-50)\/13. Suppose -64 = -b*s - 0*s. What is the least common multiple of 10 and s?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j - 13. Let t be n(-16). Solve t*u + 8 = u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52922497 and 9985?\nAnswer: 1997","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 956818*n**2*o**3 + 20*n**2*o + 2*n*o**2 + 40*o**3 + o**2 - o - 19726 wrt o.\nAnswer: 5740908*n**2 + 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 8. Let l = 13 - z. Let w = l + -9.03. What is w rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 48, -21, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1030380 divided by 206076.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -46733046, -46733035, -46733016, -46732989, -46732954, -46732911, -46732860?\n\"Answer: 4*m**2 - m - 46733049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 112654 and 279.\nAnswer: 1013886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 29, -73, 2 in decreasing order.\nAnswer: 29, 4, 2, -5, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 257879028?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -80852205*t**3 + 42238450*t**2 + 1 wrt t?\nAnswer: -485113230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -759 in -0.5, 8, -0.2, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2010021101002 (base 3) to base 2.\nAnswer: -100010011001110001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/10 + 138\/30. Suppose -r*m = 95 + 29. Let z = 35 + m. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 6*i**2 + 3*i - 10. Let u be n(-7). What is the closest to u in -0.2, -1\/4, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2567\/114 - 1\/57. Factor -135\/2*s**3 + r*s**4 + 0 + 0*s - 5\/2*s**5 + 135\/2*s**2.\nAnswer: -5*s**2*(s - 3)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*q + 250 = -31*q - 14*q for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -81 (b) -2\/5 (c) 1\/16213 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-1152)*8 - ((-161)\/28 + 6).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -38453 and -36862 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -2 (b) -2\/11 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 2 - 2)*(-9 - 2 - 3)*((-5 + 4 - 1)*(-5 - 2*g + 5)*(-4 + 6 + 0) + 4*g + 0*g + 3*g).\nAnswer: -210*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 287 divide 2405464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 - 3894?\nAnswer: -3884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4\/3)\/t**24)**(-38\/7) assuming t is positive.\nAnswer: t**(2888\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 947315 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 92003*l*z - 23510*z + 2 wrt l?\nAnswer: 92003*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 441 = 5*o - 551, r = -2*o + 497. List the prime factors of r.\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 2\/1085055?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j - 1. Let x(u) = -6 - 6 + 2*u - 4 + 1. Let o be x(7). Let g(c) = -2*c. Let h(y) = -3*y + 1. Let s(k) = 3*g(k) - 4*h(k). Calculate o*s(p) + 5*q(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 21037 - -60?\nAnswer: 21097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -27 - 9. Let w = 15 - o. Suppose h + 58 = w*h. What are the prime factors of h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12738 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v = -66, 3*v + 0*v + v - 2 = -13*c - 12 - 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -5. Suppose -v = 2*m - 3*o, 4*m + 2 + 6 = 4*o. Are 1\/4 and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197793 is divided by 151.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 114\/(-95)*20\/(-6). Let f be t\/(-14) - (-36)\/28. Solve 0 = k - 2*y - 3 - f, 8 = -3*k + y for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 + 37. Let k(c) = -12*c**3 + c**2 + 4. Let z be k(q). Let r be 7\/28 - (-38)\/z. Is r >= 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 202*m + 2 - 2.\nAnswer: -202*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + q + 266931, 1334648 = 5*b + 17*q - 15*q. Round b to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 185*a + 10352. Give o(-56).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (10\/8 + -1). Let f = 35 - 31. Sort h, f, 0.2 in decreasing order.\nAnswer: f, h, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -3.1. Let i = 0.4896 + -0.5896. What is the closest to -7 in n, i, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-9) + 24\/18. What is the closest to m in 7, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17470848, -17470847, -17470846, -17470845, -17470844?\nAnswer: -17470843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, -2.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 60*w**2 + 10*w - 7. Give s(1).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a factor of 26834958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(40\/(-105))\/8.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*f + 16 = 24*f. Let g(v) = v**3 - 15*v**2 - 13*v + 35. What are the prime factors of g(f)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 4*w + 5. Let n(d) = 74*d + 2292. Let o be n(-31). What is r(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -591, -1185, -1779, -2373?\nAnswer: -2967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-132)\/4)\/11*5\/((-75)\/(-10))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**2 - 3*z**2 + z**2 - 17 + 17 + 9*z**2 + (-z + 0*z + 3*z)*(-1 + z + 1) - 4*z**2 + 0*z**2 - 5*z**2 + (-2 - 3*z + 2)*(-2*z + 2*z + 2*z).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 1 + 5. Suppose s*l + 2 = 4*l. Put 2, -3, 0, l in increasing order.\nAnswer: -3, 0, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8668763 is divided by 1938.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 27\/207*(-2)\/3. Which is the second smallest value? (a) 2\/15 (b) q (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -5*r + 197. Let p be h(39). Solve p*f + 0*f = -2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2706 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -444, -1740, -3902, -6930, -10824, -15584?\nAnswer: -21210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -1\/120*y**6 + 1\/60*y**5 + 13 + y**2 - 1\/24*y**4 - 1\/2*y**3 + 0*y. Give k(3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7.019507ml?\nAnswer: 0.007019507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 304, 472, 926, 1810, 3268, 5444, 8482, 12526?\n\"Answer: 24*p**3 - p**2 + 3*p + 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l + 3*z + 17 - 44, 0 = -5*l + 4*z - 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**2 + q**3 - 5*q**4 - q + 4*q**4 + 0*q**2 + 3*q to the form d + p*q**4 + j*q + x*q**3 + b*q**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8 - 6)\/((-1)\/3). Let r = 14 + o. Is r a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2, 7, 44, 127, 274, 503?\n\"Answer: 3*k**3 - 4*k**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63257*q + 153711*q + 42747*q + 100223*q - 8.\nAnswer: 359938*q - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 198 - 193. Suppose 2*f - 117 = 4*q + 767, 2*q - 2174 = -n*f. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 11. Let s be (f + 4)\/(3 - 2). Suppose 15 = 3*d + x, 0*d = d - s*x - 21. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*r**3 - 96803450*r + 96803450*r.\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 2*v**2 - 3*v - 2. Let h(z) be the first derivative of 6*z**2 + 93 + 8*z - 2*z**4 + 3*z**4 - 138 - 3*z**3. Determine -2*h(r) - 9*s(r).\nAnswer: r**3 + 3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p + 4*p - p + 4*p**2.\nAnswer: 4*p**2 + 8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24471242, -48942489, -73413736, -97884983?\nAnswer: -122356230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 2585988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**2 - 375*u**3 - 2*u**2 + 277*u**3.\nAnswer: -98*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.99, -3, -3\/4 in increasing order.\nAnswer: -3, -2.99, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139362, 139353, 139332, 139293, 139230, 139137, 139008?\nAnswer: 138837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -4*p**3 - 6*p**2 - 6*p + 7. Let k(o) = 5*o**3 + 7*o**2 + 7*o - 8. Let b(c) = 6*j(c) + 5*k(c). Determine b(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20223 + -3?\nAnswer: -20232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 2\/45*p**5 + 3 - 2\/27*p**3 + 1\/27*p**6 + 0*p**2 + 0*p - 1\/18*p**4. Solve v(b) = 0 for b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 4*z - z)*(-3 + 1 + 0).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -41*p**2 + 18662*p - 5. Let u(n) = 2*n. Calculate u(y(d)).\nAnswer: -82*d**2 + 37324*d - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 0)*(-3)\/2. Solve 3 = o*g - 3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 4 + 0 - 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 44 = 3*s, s - 20 = -3*v + 2*s. Let m(x) = -1 + 0 - v*x + 5*x + 6*x. Calculate m(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 259986072 to the nearest integer?\nAnswer: 16124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k, -6*n = -3*n - 5*k + 324. Let v be (-28)\/6*n\/42. Suppose 0 = -2*j + v*j - 40. What is the fourth biggest value in 2, -1\/2, j, 0?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of b**5\/5 - 91*b**4\/3 - 370*b**3\/3 - 186*b**2 + 516*b. Suppose k(u) = 0. What is u?\nAnswer: -1, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-1\/3))\/v*v**2*(v\/(v*v*v\/(v*v\/(v\/v**(-3)))*v))\/(v**(-3)*v) assuming v is positive.\nAnswer: v**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c = 1345 + 5493. Let n = c + -172. Calculate the remainder when n is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70065.\nAnswer: 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 168*n + 6. Let b(a) = -326*a - 11. Let j(x) = 6*b(x) + 11*w(x). Let i(o) = -o. What is i(j(d))?\nAnswer: 108*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 27. Solve 14 - b = -q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1536, 291, 4 in decreasing order.\nAnswer: 1536, 291, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/6 and 161\/156.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 6)*(235 - 4*p - 235) as g + w*p and give w.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*o = -43*o + 156 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44 - (-16 - (14 - (10 - 0))) - (-4 - 1).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**3 + 45*y**2 + 74*y - 76. Let t be x(24). Let v be (-2)\/(-1)*(-29)\/2. Is v at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 - 9. Let a(o) = o**3 - 6*o**2 - 16*o - 11. Let r be a(8). Let j(q) = -q**2 + 5. Determine r*j(h) - 6*k(h).\nAnswer: -h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-3\/19))\/(d\/d**(-2\/51))*d**(-5\/11)*d**20 assuming d is positive.\nAnswer: d**(206234\/10659)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 10 - 90 = 0. Solve 5*d - 15 = 3*m, 0*m + 4*m = -l for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2562\/(-2013))\/((-6)\/(-33))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 15, 39, -3, 100 in decreasing order.\nAnswer: 100, 39, 15, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - r)*(0 + 2 + 0) - 5*r + 2*r + 4*r + 362*r - 1340*r + 530*r + 2*r + 0*r - r.\nAnswer: -448*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2226 and 212.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 7172*s + 7180*s + 261 = 14346*s, 5*z = -4*s - 199 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 b when two letters picked without replacement from {m: 4, b: 3, u: 3, l: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -183*t**2 - 3143*t + 24. Let z(j) = 75*j**2 + 1257*j - 10. Give -7*w(l) - 17*z(l).\nAnswer: 6*l**2 + 632*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2cc8 - 65?\nAnswer: -3060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2 = 3*f, -2 = -0*b + 3*b + 4*f. Let t be ((-6)\/(-3))\/(2\/b). What is the first derivative of -4*l**2 - 27*l**t + 10*l**2 - 8 - 4 wrt l?\nAnswer: -42*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbfffffbfbbwfbfb. Give prob of sequence bw.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (110\/4)\/11*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 2. Suppose -5*y = 10, -y + 2 = 2*a - 3*y. Sort 5, i, a in ascending order.\nAnswer: a, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3524101 and 266?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 94*p**2 + 2*p - 1. Let o(w) = -w**3 - 7*w**2 + 8*w + 1. Let h be o(-8). Is t(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.31821212 rounded to three dps?\nAnswer: 9.318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -779, -1555, -2317, -3059, -3775, -4459, -5105?\nAnswer: -5707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2. Suppose -9*q + 40 = -5*q. Let k(i) = 40*i + 11*i - q*i. Calculate a(k(s)).\nAnswer: 1681*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1481.9 + 1865. Let j = 383 - b. What is the closest to 0.1 in 0.5, 15, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -260?\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 937*c**3 - 468*c**3 - 475*c**3.\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255802.\nAnswer: 2, 79, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i**3 + 0*i**3 - 16 + 10*i**3)*(-3*i + 6*i - 2*i).\nAnswer: 4*i**4 - 16*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/4 and 77\/(-5)*(245\/(-112))\/(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2219, 2, 4 in descending order.\nAnswer: 2219, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 - 26 = -7*o. Let c = -23 - -26.8. Let x = c - 10.8. Sort x, -4, o.\nAnswer: x, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {a: 18, v: 2}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -14 + 14 + 8 + -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that o**2\/4 - 11021*o\/2 + 67821465\/4 = 0.\nAnswer: 3697, 18345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c. Let j(k) = 8*k. Give -6*j(f) - 60*x(f).\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - -1 - (5 + -3) - -4. Is (2 - 7)*(-239 - q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c\/c**(-1)*c*c)))\/c*c\/(c\/c**(-3)))**(-24)\/(c**(6\/7)\/((c**(1\/14)\/c*c)\/c)*(c*c\/(c**(-1\/3)\/c)*c*c)**(-3)) assuming c is positive.\nAnswer: c**(199\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1857*n**2 + 590 + 114*n**2 - 2078.\nAnswer: -1743*n**2 - 1488","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 601, 2289, 5095, 9013, 14037, 20161, 27379?\nAnswer: 35685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 10:12 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2332635, 4665264, 6997895, 9330528, 11663163, 13995800, 16328439?\nAnswer: 18661080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 3*b + 2. Let z be w(3). Suppose 4*f = 4*d - 192, 4*d - 192 = -6*f + z*f. Calculate the greatest common divisor of 12 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - -32 - 64\/16. Suppose 5*v - 172825000 = a*v. What is v rounded to the nearest 100000?\nAnswer: -6900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*x + 13 = -317*x + 156*x - 2*g, -x - 52 = 3*g for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -3*b**3\/5 - 462*b**2 - 22827*b\/5 - 4104 = 0.\nAnswer: -760, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 + 27*t - 60.\nAnswer: -3*(t - 5)*(t - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -20004010 (base 5) to base 13\nAnswer: -56471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 346235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) 77 (b) -5 (c) 0 (d) -55 (e) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + j - 16 = 0. Let g = 22 - j. Suppose p + g = 2*f, -f + p - 6 = -5*f. Calculate the remainder when 3 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9153521*s**2 - 12*s + 534895?\nAnswer: 18307042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.33, -1.106972, 0.\nAnswer: -1.106972, -0.33, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 - 4671*i - 4668.\nAnswer: -3*(i + 1)*(i + 1556)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -767 - 14*q + 191 + 394 + 182.\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -154 + 153.681. Let m = 0.241 - 0.17. Let g = m - x. What is g rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 4:06 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 55*c**3 + 6*c**2. Let b(r) = 37*r**3 + 4*r**2. Calculate 8*b(d) - 5*v(d).\nAnswer: 21*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/6 of a day?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 2 + 0*f**2 - 5*f**2 + 2 + 4*f. Suppose -4 = 757*d - 758*d. Give t(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -12 (b) -2\/3 (c) -1538\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 0 - -2)*0. Let b(q) = -2*q**3 + 36*q**2 - 33*q + 30. Let u be b(17). Suppose i = -2*x - 5*y + 97, x + 5*y = 2*y + u. Does 11 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7286 - 4088. Is f a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25613.99972931 - 25614. What is a rounded to 5 decimal places?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -10, -5, 6 in ascending order.\nAnswer: -14, -10, -5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 25 (b) 49 (c) 2 (d) 18 (e) -2\/11 (f) -70\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**5 + 2923*g**4 + 26148*g**3 - 228220*g**2 - 2706112*g - 5594880 = 0.\nAnswer: -2914, -8, -3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6564\/(-11) + 6\/9. Let r(m) = -150*m + 4. Let i be r(4). Let a = i - q. Which is bigger: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -117 - -121. Suppose 0 = -f*i - 4*r + 16200, 2*r + 4045 = i - 2*r. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1157*r**2 - 1766*r?\nAnswer: -2314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 94792 to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 4*b**2\/3 + 15656704*b + 45962321276928 = 0.\nAnswer: -5871264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 86924759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c - 1. Let n = -94885 - -94890. Let h(w) be the second derivative of -w**3 - 3*w**2 + w. Calculate n*k(x) - h(x).\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7794*j + 7799*j - 4*x - 166 = 0, 196 = 6*j - 4*x for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/1 - 338\/(-7). Let y = -1462\/21 + z. Let a = 372 + -4095\/11. Calculate the common denominator of a and y.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100 - 1011?\nAnswer: 100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x - 1. Let k be j(-4). Suppose -18 = -k*w + 3. Calculate the least common multiple of w and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 46*m - 335. Is p(28) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - sqrt(152)\/sqrt(2)) + (sqrt(114)\/sqrt(54) - sqrt(19)) + sqrt(114)\/(sqrt(12)\/sqrt(2)) + (sqrt(19) + -1)*6)**2.\nAnswer: -64*sqrt(19) + 5188\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 6*t - 30 = t, f + 5*t = 15. Let o = 684 - 648. Let u be (f\/15)\/(4\/o). Solve -u*q = -4*q - 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from hhhhqhqhh?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83730412.\nAnswer: 2, 2957, 7079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46*l**4 + 39270*l**2 + 66*l + 934669554.\nAnswer: -184*l**3 + 78540*l + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 2*c**3\/3 - 3*c**2\/2 + 3*c + 3. Calculate the remainder when x(-6) is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*y - 1670 = 79*y - 214 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 32997 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/20020594 and 75\/398.\nAnswer: 20020594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -980 divided by -2.\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.15661 centuries in years?\nAnswer: 3715.661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7, 13, 31, 67, 127, 217, 343?\n\"Answer: u**3 - u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 108 + -4?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001245450474 rounded to 7 decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*h**2 - 165*h - 84 = 0. What is h?\nAnswer: -1\/2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l**2 - 6*l**2 + 4*l**2 + 3)*(l**2 - l**2 - 2*l**2) in the form a + k*l**2 + g*l**3 + t*l**4 + c*l and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 1 + 1)*(-3 + 0 + 2) + 0 + 3*y - 7*y - 2.\nAnswer: -6*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 12:03 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10376.\nAnswer: 2, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01685 less than -94.6716?\nAnswer: -94.68845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(108) + -5 + 0)*4)**2.\nAnswer: -768*sqrt(3) + 1984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122, 113, 104, 95, 86, 77?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1470\/(-1050)*15*10\/5.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 2*g - 1 = 7, -2*g - 8 = 5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3089463, -3089444, -3089411, -3089364?\n\"Answer: 7*r**2 - 2*r - 3089468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, t: 7, z: 1, k: 6}. Give prob of picking 3 k and 1 g.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.7 - 4.7. Let g(s) = 55*s**2. Let u be g(-1). Let q be (15\/(-2)*44\/u)\/2. What is the third biggest value in f, -0.3, q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 9:54 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 6*w - 5936 = 0, f + 3*f - w - 5956 = 0. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-102)\/(-3))\/((-6)\/(-3)). Let x = t - 22. What is the third biggest value in x, -3, 0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -412 + 4?\nAnswer: -409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(9\/5)*g)**(1\/6)\/(g**6\/g**(-17)))**(4\/19) assuming g is positive.\nAnswer: g**(-1352\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 13*l - 27.\nAnswer: -13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 513*m**2 + 38*m**3 - 513*m**2.\nAnswer: 38*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.3 (b) -0.1 (c) -3895 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1369212 or 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/4))**27\/(y*y**1)**(-26) assuming y is positive.\nAnswer: y**(235\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 0)*(-10)\/(-4). Suppose 3*h - j*h + 4 = 0. Solve 4*p + 7*r + 28 = 2*r, r = 3*p + h for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 32*i + 195. Let c be k(-6). Solve c = a, -r - 10 = 4*r + 5*a for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2*u - 3 = -161, -12 = -3*u. Let r be 45\/k + (-313)\/(-2). Suppose -178 = -3*i + 2*v, 3*i = -3*v + v + r. Is 14 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.2 * 0.3.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 32 = 4*x, -3*w - 13*x - 3 = -8*x. Suppose -18 = -g - w*c, 5*c + 3 - 21 = g. Solve 2*r - 3*d = -0*r + 11, -5*d = g*r - 3 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 3 + 3)*(2 - 4 + 0)*(0 + 2*g + 0)*(-3*g + 3*g - 3*g**2).\nAnswer: 12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 17*w = -2*l - 388, -29 = -5*l + 3*w for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3177696.\nAnswer: 2, 3, 79, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1624303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1002 + -552. Let j be y\/8 - 2\/8. Let b be 4 + -2 - (-4 - 2). Calculate the highest common divisor of j and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddp when three letters picked without replacement from {d: 4, p: 16}?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 173019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/2))**6\/(b*b**2*b)**(3\/5))\/((b\/(b*b**(-2)))**(-5\/3)\/(b**(-2))**(35\/6)) assuming b is positive.\nAnswer: b**(-116\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -684, -2771, -6256, -11139?\n\"Answer: -699*u**2 + 10*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**4\/3 - 12*n**3 + 116*n**2\/3 - 52*n + 24.\nAnswer: 4*(n - 3)**2*(n - 2)*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -36*s - 506. Let a be q(-16). Solve 28 = a*u - 63*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2735 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 3*z - 24, 4*u = -8*z - 91 + 95 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 0)*(-2*q - 4*q + 4*q - 6).\nAnswer: 4*q + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4*f - 30, 3*f - 16 = 4*z + 29. Let x = z + 9. Suppose v - 2*v = x. Which is smaller: -2 or v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177534264.\nAnswer: 2, 3, 17, 41, 10613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a tonne in kilograms?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 279632*p + 279644. Determine f(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) -2.7 (c) 1\/11 (d) 2\/13 (e) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 5. Let h = -10 + i. Which is bigger: h or -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-16)*(s**(-2\/17)\/s)\/s assuming s is positive.\nAnswer: s**(-291\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -9*h**2. Let d(q) = -515*q**2. What is m(d(r))?\nAnswer: -2387025*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (342 + -2994)\/(-78)*(0 - (1 + -2 + 0))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -9*c**3 - c**2. Let u be h(-1). Let j = 10 - u. Solve 4*t = -j*o + 10, 4*t - 14 = -o - 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 423, 947, 1439, 1887, 2279, 2603, 2847, 2999?\nAnswer: 3047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 26*o**2 + 26*o + 40. Determine k(-25).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -32*s**3\/11 + 1616126*s**2\/11 - 1855011920*s - 1275327008\/11 = 0.\nAnswer: -1\/16, 25252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3016172883?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 34866c4?\nAnswer: -34866c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 9) to base 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0*2.55\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 3*r - 27, z + z = 3*r - 6. Let c(l) = l**3 - l**2 + 4. Is c(z) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3 + (-1 + sqrt(13) - sqrt(13)))**2.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12070 is divided by 144?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34133 or -36246?\nAnswer: -36246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3002799 or 2.52?\nAnswer: 2.52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -91939, -184104, -276269, -368434, -460599, -552764?\n\"Answer: -92165*b + 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**8)\/o)\/o**12)\/(o**(-22)\/(o\/o**(5\/2)*o)) assuming o is positive.\nAnswer: o**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 5) to base 3\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 1624 = -5*u, 2*u - 6*a = -a + 636. Suppose -308*y - 367*y + 766*y = 4277. What is the remainder when u is divided by y?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1226 is divided by 481?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-5)\/m**2*(m**(-1\/3)\/m*m)**(17\/4) assuming m is positive.\nAnswer: m**(-101\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -52, -4.6, -4, -5, 5?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1221385068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/(-27))\/(((-42)\/(-56))\/(18\/(-16))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -5\/2, -4\/5, 73, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 + 66. Let o = -580 + 601. Find the first derivative of -37*f**3 - f**2 + v*f**3 + o + f**2 wrt f.\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25315948.\nAnswer: 2, 7, 227, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15434039287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 4*j**2 + 6*j + 1. Let x be q(5). Suppose 0 = -3*d - 9, -176*d + 180*d = 3*i - 210. What is the greatest common divisor of x and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33.47 - -0.03. Let g = j - 31.51. Let z = g - 0.31. What is z rounded to 1 decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62, -303, 5 in descending order.\nAnswer: 5, -62, -303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 48731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7941 (base 10) to base 12.\nAnswer: 4719","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -g**3\/2 - 3*g**2 + 8*g. Let z(p) = 3*p + 7. Determine -7*v(o) - 6*z(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25870 + 16*a**2 - 14*a**2 - 457973.\nAnswer: 2*a**2 - 432103","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(3*sqrt(78) + sqrt(78)))\/sqrt(216) - (5*(sqrt(156)\/sqrt(4))\/sqrt(3) - ((sqrt(832) + 0 + sqrt(832))*-6)**2).\nAnswer: -5*sqrt(13)\/3 + 119808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 571462208 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -2189 (c) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000732264288 rounded to 7 dps?\nAnswer: 0.0000732","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138 + 34*j**2 + 138.\nAnswer: 34*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 130\/10 + (16 - 27). Factor -1\/3*l - 1\/3*l**3 + m - 4\/3*l**2.\nAnswer: -(l - 1)*(l + 2)*(l + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-9))\/(4\/48). Let z be 2067*((v - -6) + -1). Suppose b + z = 4*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -10\/12687?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 27479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*b + 0)*(2*b - 3*b + 2*b) - 6 + 6 - 2*b**2 + 67*b**2 - 1123*b + 1123*b.\nAnswer: 63*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a factor of 50319141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3944946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 25*r**2 + 4*r + 101. Let u be l(-25). Which is the second biggest value? (a) -128 (b) u (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -632, -1253, -1876, -2501, -3128, -3757, -4388?\nAnswer: -5021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -156*v**4 + 9*v**2 + 3*v - 50. Let o(m) = -313*m**4 + 15*m**2 + 5*m - 99. Let j(i) = 3*o(i) - 5*r(i). Find the first derivative of j(q) wrt q.\nAnswer: -636*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 327 - 324. Suppose -2*i - 1252 = -g*z + 3*i, 0 = 2*z - 3*i - 835. What are the prime factors of z?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -34*s**2. Let j(p) = 12*p**2 - 6*p. Determine j(r(f)).\nAnswer: 13872*f**4 + 204*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6504, 5, 0.3, -3.8?\nAnswer: -6504","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 266258468?\nAnswer: 2, 7, 9509231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-252)\/(-36) + (-33)\/5.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**5\/5 + 13*y**4\/5 = 0?\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g. Let m(b) = 88*b - 200. Let y(s) = -7*s + 15. Let o(c) = 6*m(c) + 80*y(c). Give o(z(k)).\nAnswer: -32*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 2*((-108)\/(-14))\/(12\/112).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 + 0. Let t = k + 34. Let w = t - 16.954. What is w rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k - 10. Calculate the lowest common multiple of 20 and x(10).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15\/4, -0.3, 0.95, 5, -3\/857 in ascending order.\nAnswer: -0.3, -3\/857, 0.95, 15\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -14.046 and 20481741714.\nAnswer: 20481741699.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuii when four letters picked without replacement from iiiiuiiuuiiiiiiuuuu.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -21*i. Let k(p) = 57*p**2 - 14*p. Let l(u) = 19*u**2 - 4*u. Let y(w) = 2*k(w) - 7*l(w). What is y(f(m))?\nAnswer: -8379*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-9)*(-9)\/((((-468)\/8)\/(-13))\/6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 7, -5, 0, -16 in descending order.\nAnswer: 7, 0, -3, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (46\/14)\/(((-264)\/154)\/6)*(-100)\/10\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2*n + 2*g - 6, -1 = -4*n + 3*g. Let i be 14\/(-4) - -3 - n. What is the third smallest value in -4, 3, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q - 7. Let f(d) = -d**2 + 2*d + 1. Let u be f(3). Calculate the remainder when u\/(-3) + (-73)\/(-3) is divided by n(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 326365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 12:54 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.76 and 756796?\nAnswer: 4359144.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 33216?\nAnswer: 33218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-210))\/(117\/(-1404))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -0.3 (c) -1.8 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*q - 348 = -88. Suppose 0 = -28*j + q*j + 3540. What is the remainder when j is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -20b?\nAnswer: 20b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/13)\/((n*(n**(-1)*n)\/n*n*n*n)\/n))**4*(((n*n**(-1))\/n)\/((n\/n**5)\/n))**26 assuming n is positive.\nAnswer: n**(1240\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.71098106+8\nAnswer: 8.71098106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = w + 3. Suppose 1032*m + 20 = 1042*m. Solve -t + 2*d = -0*d + m, -w*t + 4*d - 4 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 5, 10, 17?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 627921097 to the nearest integer?\nAnswer: 856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311 = 3*a - 0*a - 14*a + 239 for a.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-13)\/(-6) - (-46)\/92. Let t be 94\/9 + 2\/9. Suppose -32\/3*u + 0*u**2 + z*u**3 - 2\/3*u**4 + t = 0. Calculate u.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90 - (-6 - (-80 + 10)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/4))**(27\/7) assuming l is positive.\nAnswer: l**(-27\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4976320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1225 + 1234. Do o and 16 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -21*w + 8 - 14 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1)**(3\/2)\/(w**2\/(w\/w**1*w))*(w**(-4)*w\/w**(-7))\/(w**(-2)\/(w\/w**(5\/3))) assuming w is positive.\nAnswer: w**(35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 180811 - 126030. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millennium in months?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 95357344.7 to the nearest ten thousand.\nAnswer: 95360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 9 - d**3 + 14*d**2 - 2*d**2 + 0*d**3. Let v be t(11). Suppose -4*z + v = 5*o, -o = 5*z + 4*o - 165. Calculate the remainder when z is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -28, 2, 4, -5 in decreasing order.\nAnswer: 7, 4, 2, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*q + 20 = -2*n, 20 = 3*n - 5*q. Solve -3*b - 3*y + 0*y + 15 = n, -4 = -2*b + 4*y for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -4*u**5 + 44*u**4 - 120*u**3 - 80*u**2 + 544*u - 384 = 0.\nAnswer: -2, 1, 2, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 11*v**2 - 5*v + 4. Let x be c(1). Sort -3, 3\/7, x in decreasing order.\nAnswer: x, 3\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38672 + 2.\nAnswer: -38670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 256, 594, 1130, 1858, 2772?\nAnswer: 3866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2507, 1236, -2193, -8860, -19845, -36228, -59089?\nAnswer: -89508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1456 - 4892 + 1391)*(-3*h**3 + h**3 - h**3).\nAnswer: 14871*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + 2*a - 6. Let y(o) = -3*o - o - a - o. Is y(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -l + 5*w + 19, -5*l - 4*w - 53 = 0. Let j(z) = 3*z**2 - 3*z - 38. List the prime factors of j(l).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**3 + 229 + 3*x**2 - 228 + 0*x**3 - 2*x**3 to the form n*x**2 + z*x**3 + d*x + h and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + n = 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -75 - -87. Suppose 0 = -4*u + 5*c + 63, -4*u = 2*c - w - 30. Solve 3*a + u + 7 = j, j + 11 = -3*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 16*q - 504. Calculate the remainder when q is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 78*g**2 - 1558*g + 1802. What is b(41)?\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -27311411 divided by -1?\nAnswer: 27311411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nhhvphppvppnhvp. Give prob of sequence nph.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 - 8. Suppose -2*j = -0*j + v. Are -7 and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + (1 + 4)*-2. Let x be n\/15 + 110\/25. Suppose 10 = 5*z - x*z. What is the remainder when 37 is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, v: 12}. What is prob of picking 1 n and 3 v?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 + 1. Let f(c) = 8*c**2 + 337*c + 3. Calculate -f(m) + 3*s(m).\nAnswer: -2*m**2 - 337*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6593 - -14955. List the prime factors of h.\nAnswer: 2, 37, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -167, -8\/43, -1.8?\nAnswer: -8\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -30232 and -30231 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 38, 32, 15716, -2, 3, 1 in increasing order.\nAnswer: -2, 0, 1, 3, 32, 38, 15716","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 6*q - 2. Let h = 4 - -3. Suppose -3*w + 20 = -h*w. Let a(b) = -b. Suppose 0 = 3*p - 2*t + 1, 2*p - 4*p + 12 = 5*t. Calculate p*k(g) + w*a(g).\nAnswer: g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -g + 3, -4*g + 0*g - 33 = -3*x. What is the tens digit of 9\/g*(-26)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1783251 + -1783250.96999559. Let n = 0.03 - u. What is n rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6560636800 a multiple of 1060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -13, -265, 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35 - -1) + 6 + 39 + -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b2 (base 13) to base 4.\nAnswer: -2101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 2*x - h + 36, 2*h - 42 = -5*x. Let t be -1*(-1 - 7)*-1. Let j(p) = p**2 + 2*p - 39. What is the smallest common multiple of j(t) and x?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 439 and -0.4.\nAnswer: -175.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*i = 7. Suppose i*m - 9*m = 0. Solve 2*s - 7 = -3*z, s = -m*s - 5*z + 21 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (798\/(-12))\/(-19) + -4. Put n, -1, 1\/78 in ascending order.\nAnswer: -1, n, 1\/78","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54259947636 - 0.1.\nAnswer: 54259947635.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -x - 21, 10 = -2*x + 4*r - 16 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141066 is divided by 70519.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**7)\/m*m**(-7))**(-2))**(-3\/16) assuming m is positive.\nAnswer: m**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by 23?\nAnswer: -24\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 greater than 151\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**6\/24 - 17*a**5\/30 + 56*a**4\/3 - 78*a**2 - 5. What is the second derivative of f(q) wrt q?\nAnswer: 30*q - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -4*h - 8. Suppose -2820000 = h*j + j. Round j to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 5*x = -20, 2*x + 1 + 7 = 4*i. Suppose 6 = -i*h + 3*h. Suppose -4*t = -4*g + 148, 0 = g - 3*t - 37 - h. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 449290848 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 4*q**3 - 66*q - 5*q**2 + 18*q + 22*q + 26*q + 2. Determine h(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + f**2 + f - 7. Let x(n) = n. Let b be x(-2). Let i be (b\/4)\/((-4)\/16). Suppose 3*m = i*m. Determine l(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2655701662.\nAnswer: 2, 1327850831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 218187641?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2091512.\nAnswer: 2, 261439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 113*q + 603. Let r(h) = -h**2 - 112*h - 602. Let x(l) = 2*i(l) + 3*r(l). Factor x(m).\nAnswer: -5*(m + 10)*(m + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 12:58 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -147?\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -231.8 - -254. Let l = -22 + x. Is -1\/5 < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -597*c**2 - 398*c + 796. Let m(q) = -q**2 - q + 2. Calculate 398*m(w) - y(w).\nAnswer: 199*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11113037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*l*m**3 - 2486*l*m + 2*l - 43836*m**3 + 2*m**2 + 58*m - 4 wrt m.\nAnswer: 48*l*m - 263016*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0)**36\/((w*w*w**10)\/w*w*w**(-1\/7)) assuming w is positive.\nAnswer: w**(-83\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -181\/2 + 899\/10. What is the nearest to -0.2 in -4, d, -5\/3, 3\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12\/1895 + 71\/758. Which is the fourth biggest value? (a) 1 (b) -1 (c) 4 (d) k (e) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292 + 558 + 251 = 367*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 4*w + 6. Let h be f(-5). Suppose 0 = -2*z + 5*q + 136, q + 302 = 4*z + 6*q. Let d = 26 + z. What is the greatest common factor of d and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/(-3) - -2)*(-75)\/10. Suppose 0 = 4*v + 2*d - 54 - a, -30 = -3*v + 3*d. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4*p + 6 + 0 + 2. Let y(r) = r - 1. Let j(h) = -f(h) - 6*y(h). Find the first derivative of j(n) wrt n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12231 - 10?\nAnswer: 12221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -5*q**6\/72 + 77*q**5\/180 + 61*q**4\/18 - 10*q**3\/9 + 60*q**2 + 6. Factor b(x).\nAnswer: -(x - 5)*(x + 2)*(25*x - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 - 3*h**2 + 0*h**2)*(-3*h + h - h) + (-h**3 + h**3 - h**3)*(2 - 4 + 1) + 6*h**3 - 2*h**3 - 3*h**3.\nAnswer: 14*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 366740.641 and -0.08.\nAnswer: 366740.561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4534\/351 + 550\/39. Find the common denominator of -25\/6 and z.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 12:57 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-3)*12*(-8)\/560.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - t**2 + 1 - 2*t + (9 + 6 + 1)*(-2*t + 2*t + 2*t**2).\nAnswer: 31*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 794*y**2 - 41*y + 41*y + 1 + 4571*y**2 to s + d*y + q*y**2 and give q.\nAnswer: 5365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) -2\/63 (c) -0.496 (d) -3 (e) 4 (f) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 497 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.23 + 0.07. Let r = -0.2 - -0.1. Let w = -0.1 - r. Put d, 0.5, w in descending order.\nAnswer: 0.5, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -5*l**2 - 170*l = 0.\nAnswer: -34, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003709671048 to seven dps.\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -593, -1982, -4683, -9134, -15773, -25038, -37367?\nAnswer: -53198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 611 = -597. Solve -2*q + 3*n + 12 = 0, -5*q - b*n + 4 + 7 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 5*f**4 - 3 + 255*f**3 - 254*f**3 in the form k*f**3 + w*f**4 + s + a*f**2 + t*f and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8 + 4 + (-8)\/(-8). Let w be (-34)\/(-442) + 194\/y. Solve -2*k + w = 13 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1545*g + 4617*g - 1550*g - 1528*g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3592733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -73 + 77. Solve -3*t + o - 7 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62*d + 62*d + 2*d**2 + (4*d - 4*d - 2*d)*(-4*d + 3*d - d) to p*d + q + x*d**2 and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51 - 49. Suppose -4*u - k = -1690, 0 = 3*u - 4*k + b*k - 1262. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -5*r**4\/12 + 65*r**3\/2 + 940*r**2 + 11510*r. Let p(g) = 0. What is g?\nAnswer: -8, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110100 (base 2) to base 15.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57 + -54. What is i in 38*i**2 + 2*i**w - 10*i - 8*i**3 - 2*i - 10*i**3 - 10*i**4 = 0?\nAnswer: -3, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9795747*x**2\/4 + 10842*x - 12.\nAnswer: -3*(1807*x - 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 122*c**3 - 961*c**2 - 107*c + 500105191 wrt c.\nAnswer: 366*c**2 - 1922*c - 107","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-1) - (-17 - -1). Suppose q - 9 = -2*r + 13, 0 = -5*r - 2*q + 53. Let x = -6 + r. Solve d = 5*d - 5*n - 11, 0 = x*d + 5*n - t for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*p + 126, -p = -2*z + 3*z - 22. What is the tens digit of ((-1)\/(-3))\/1*45072\/p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 68*m - 48. Let u(b) = 14*b - 10. Let l(c) = -5*g(c) + 24*u(c). What is l(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 1001?\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**4\/4 - 281*q**3 + 3385*q**2\/4 + 1124*q - 3381 = 0.\nAnswer: -1127, -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000098186862 to six dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 7*o**4 + 137*o**3 - o**5 - 71*o**3 - 2*o - 8*o - 84*o**3 - 20*o**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*o, -18 - 25 = -3*g - 5*o. Suppose 4*q - 2*q = -l + g, 5*q - 15 = 3*l. Solve -3*j = -2*c - 25, -q*c - 10 = -j - 2*c for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 8*p - 5. Let k be z(7). Suppose -21 = -4*r + 3*n + k, -3*n = -3*r + 51. Suppose 2*o = -o - 2*l + 47, o = -2*l + r. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 + 8 - 37) + 4 + 129 + -7\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -2103*c**2\/2 + 2505*c + 2398. Differentiate n(p) wrt p.\nAnswer: -2103","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 5*z**2 + 4*z + 6. Let x be y(5). Suppose -2*s + 2 - 8 = 0, -2*n - 2*s = -x. What is the highest common factor of 400 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225014081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 1. Suppose -q - 38 = -s. Let t = q + 57. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + 2*(2 + 1*sqrt(170)\/(sqrt(10) - (sqrt(450) - sqrt(50))\/sqrt(5)) + 1)).\nAnswer: -15 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 6. Let g(y) = y**2 - 10*y + 8. Let h be g(9). Let f be ((-1)\/5)\/h + (-2)\/10. What is p(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10*8\/16 + -1884. Let g = 4153 + j. What is g rounded to the nearest 100?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - r - 67, -2*x = -4*r - 93 - 39. Calculate the highest common divisor of 34 and x.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -9*z + 14. Let q(k) = 13*k - 21. Let u = 15 + -8. Let d be 20*(3\/4)\/3. What is d*q(a) + u*s(a)?\nAnswer: 2*a - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**3 - 3*f**2 + 3*f**2 + (2*f**3 + f**3 - f**3)*(0 - 7 + 0) + 6*f**3 - 4*f**3 + 0*f**3.\nAnswer: -10*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 10*m - 5. Let o be l(-9). What is the units digit of (o\/(-6))\/(2\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4238*a**4*i**2 + 29*a**4 - 2281*i**2 + 46*i with respect to a.\nAnswer: -16952*a**3*i**2 + 116*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1315, -1190, -983, -694?\nAnswer: -323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 8*z + 8. Suppose -6*m = -m - 5*j + 65, -2*m + 5*j - 26 = 0. Determine p(m).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24078904555.3 - 6?\nAnswer: 24078904549.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 225 - 108. Let c = d - -208. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/4*((-434)\/(-3))\/31?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, a: 1}. Give prob of picking 3 c.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 240.84249 to zero decimal places.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123\/3760 and (-65)\/(-52)*(-141)\/1500?\nAnswer: 18800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -990 - -988. What is the smallest value in 3, l, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gtgwtwwwgwgw. What is prob of sequence gwgt?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -5*s**3 + s**2 + 6*s + 6. Suppose -9 = -4*o - 1. Suppose 0 = -5*g + 3*g + o. Let j(u) = -u**3 + u + 1. Determine g*f(d) - 6*j(d).\nAnswer: d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 2*9\/81.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-5))\/((-2)\/(-18))*8\/16?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104 and 27261.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z**2 - 6 - 9*z - z**2 + 2*z**2 - 6*z**2. Let g be v(-5). Is 13 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 5 + 0 - 4*h**2 - 5. Let o(p) = -5*p. Give o(b(r)).\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254*u - 409*u - 154*u - 2472 = 0 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -13 (b) -0.4 (c) 28\/87 (d) 1\/5 (e) -439\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of r + 2. Let g(s) = -65*s + 12019. Let u be g(185). Let o(q) = -6*q + 6. Determine u*v(l) + o(l).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of 56\/3*r**3 - 1\/3*r**4 - 23*r - 392*r**2 + 1. Find y such that m(y) = 0.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1489095 to the nearest integer?\nAnswer: 1220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2067 divided by -5\nAnswer: 2067\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b*b**(2\/27)\/b))\/b)**16)**(-42) assuming b is positive.\nAnswer: b**(448\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 692 = -4708. Let l = v - -24065\/12. What is the common denominator of l and -47\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*d = 2*w + 1, -5 = -d - 2*w. Suppose d*h = -h + 600000. Round h to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12\/355 - 842\/3905. Let w be 16\/(-56) + 11\/14. What is the second smallest value in -2, c, w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1\/2, 318 in descending order.\nAnswer: 318, 3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -8. Let t(s) = s**2 + 8*s + 9. Let x be t(j). Let m be (0 + 1)\/(x\/9). Which is bigger: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9741*o**2 + 166*o wrt o.\nAnswer: -19482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 8*q - 7. Let b be p(9). Suppose 4*d - 3*t + b = -t, 3*t = -2*d + 3. Suppose 2*a - 2 + d = 0. Solve r - a = 3 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.4 + -4. Let z = f + 1.4. Which is the biggest value? (a) z (b) -0.4 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 531649 is divided by 264181?\nAnswer: 3287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h - 4. Let v(a) = -1 + 3*a - 5*a + 4. Suppose 35 = -i + 30. Let x(q) = q**3 + 6*q**2 + 7*q + 12. Let m be x(i). Determine m*t(f) + 3*v(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22289 or 22296?\nAnswer: 22296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-130)\/20)*3\/6.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/sqrt(2) + 2 - sqrt(52).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 34*l**3 - 6*l**4 - 6 - 34*l**3 wrt l?\nAnswer: -24*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 5 + (0 + 2 + 1)*(-1 - 2 + 5))*(-2*l**4 - 5*l**2 + 5*l**2) + (-l**3 - 1 + 1)*(-3 + 3 + 17*l).\nAnswer: -31*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 121608 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*c - 6*c + 8*c + 3*c to s*c + p and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x**2 - x + 1 + 3 - 3. Suppose -9 = -9*a - 0. Let f be z(a). Solve -3*d + v + 4 = 0, 0 = 4*d - v - 10 + f for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8663 and -0.0204.\nAnswer: -8663.0204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -1 + 2*z**3 + z**2 + 0*z - z - 38*z**3. Let t be u(-1). Let x = t - 26. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371 is divided by 134?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**2 + x. Let a(l) = -17*l**2 + l + 5. Let u(n) = 42*n**2 - 3*n - 12. Let y(d) = -12*a(d) - 5*u(d). Give 11*h(f) - 4*y(f).\nAnswer: 2*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 1939 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h - 3. Let z(f) = 5575*f. Give o(z(r)).\nAnswer: 16725*r - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 376, 375, 388, 421, 480, 571, 700, 873?\nAnswer: 1096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4163 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1007 and 304.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5, -1, -9, -19, -31?\n\"Answer: -v**2 - 3*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**2)**45\/(v**(-2\/9))**(-4\/37))**(-1\/37) assuming v is positive.\nAnswer: v**(-29962\/12321)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*q**2*x + 2536*q**2 + 2*q + 63616087*x + 3790 with respect to x.\nAnswer: 2*q**2 + 63616087","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, 38, 659 in increasing order.\nAnswer: 31, 38, 659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 5*a + 5. Let d be r(-6). Let q be 0\/(d*(0 + -3)). Solve q = 3*o + 7 + 8 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 3637260?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -144391\/65352 - -3\/2723. What is the common denominator of -50\/11 and v?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -2, 18, 52, 100?\nAnswer: 162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*m + 2*m - m - 4*m + 3*m + 0*m + (-3 + 5 - 4)*(-m + 2*m - 3*m) + 0*m - 5*m + 4*m)*(-9 - 8 + 8)*(3 - 3 + 1) in the form z*m + j and give z.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1270 by 5.\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/26 + (8\/1)\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 832329?\nAnswer: 3, 29, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1329*t - 340*t - 338*t - 328*t - 325*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14703938 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: What is eighty-one halves of a centimeter in millimeters?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) -5 (c) -2 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(363) + -1 + -4 - 5*(0 + sqrt(363))) + -4) + -2.\nAnswer: 25 + 132*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 - -56. Let r = t - -63. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 - 84*g + 35 + 42*g)*((-2 - 3 + 3)*(2 + 3 - 3) - 22 - 14 + 5).\nAnswer: 1470*g - 105","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -29*z + 7. What is r(2)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -209 + 224 - 236 + 361*k**2 + 221.\nAnswer: 361*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 942846 by -6.\nAnswer: -157141","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 29\/3 + -10. Let r = 21.2 + -26.2. Which is the third biggest value? (a) -3 (b) f (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) 2 (c) 0 (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13798848 divided by 32?\nAnswer: -431214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1659 (base 11) in base 2?\nAnswer: 100001001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -2\/5, 4\/3, 4, -7\/2, -0.5?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 136707531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: -226a (base 12) to base 5\nAnswer: -110301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.138 and -309648116.\nAnswer: -309648115.862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -71 (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -936.13 to the nearest 10.\nAnswer: -940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*u = -u + 14, 5*w - 14 = 2*u. Suppose r + 20 = -4*y, y - w*y = -4*r + 5. Let m = y + 11. What is the greatest common divisor of m and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2. Let v(h) = -3*h**2 - 3*h - 8. Suppose 68*x - 84*x - 16 = 0. Determine x*t(s) + v(s).\nAnswer: -2*s**2 - 3*s - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -47.\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 491663?\nAnswer: 19, 113, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -a**3\/3 - 6*a**2 - 5*a + 1355. Give g(-13).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)*3)**2 + -2)*3.\nAnswer: 1830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2909288 is divided by 6394?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 15 (b) -1 (c) 25\/8 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 d when three letters picked without replacement from {w: 3, q: 2, h: 1, d: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 - 20606*t + 41208.\nAnswer: (t - 20604)*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -q**4\/6 - 2*q**3\/3 + 189*q**2. Calculate u(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/56 (b) -4 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.2689 to one decimal place.\nAnswer: -13.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4346*s = 138952 + 156576 for s.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 2:39 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (12 - 1 - -9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1, -12574, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1200)*-2)\/(sqrt(66)\/(sqrt(11) + sqrt(44)\/sqrt(4))).\nAnswer: -40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 3)*(8\/4)\/6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23*2460\/2484 + ((-2)\/9)\/(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -594*d = -377*d + 651*d - 40796 for d.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-15)*-2)\/(48\/(-72))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 39.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27115919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 2*o - 4. Calculate the remainder when (-2768)\/(-64) - 5 - (0 + 2\/8) is divided by r(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, n: 4, j: 6}. Give prob of sequence jn.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3 + 1 = 0. Find the third derivative of -3*g**a + 0*g**2 + 4*g**2 + 3*g**3 + 0*g**3 wrt g.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 129*p - 133*p + 4. Factor -43*h - 2*h**2 + p + 31*h - 1.\nAnswer: -2*h*(h + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3\/2, 2.97, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1092.000938 + 1092. What is c rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 1:46 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of b**4\/3 - 322*b**3 + 964*b**2 + 5252*b. Suppose w(o) = 0. Calculate o.\nAnswer: 1, 482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1856, -11748, -28218, -51254, -80844, -116976, -159638?\nAnswer: -208818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + b**2 - 2*b + 1. Let h(a) = 8*a**2 - 10*a + 5. Calculate -h(p) + 5*s(p).\nAnswer: 5*p**3 - 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 21*q**3 + 3*q**2 - 3*q - 4. Let l(h) = -h**2 + 2*h + 1. Determine i(p) + 3*l(p).\nAnswer: 21*p**3 + 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -5. Let u be 3*r\/(-2 - 1). Suppose 0 = 2*j + 2*b + 6, -2*b + 10 = -u*j + 26. Solve -1 + 5 = -j*t + 4*c, -3*t - 5 = -5*c for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 303 - 188. What is the remainder when g is divided by 32?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 8*j**2 + 11*j + 3. Let d be k(-6). Calculate the greatest common divisor of d and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127, 272, 461, 718, 1067, 1532, 2137, 2906?\nAnswer: 3863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 55264375297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1738 a factor of 969365949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 7*z**3 + 6*z. Suppose 12*v = -284 + 356. Let r(q) = -140*q**3 - 119*q. What is v*r(t) + 119*c(t)?\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -14, -1.5, -3, -1\/11?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*n - 15 = 3*k, 17*k - 20*k + 3*n = -12 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*w**(1\/2)*w))\/(w**(-2\/19)\/w))\/(w**(-1\/4))**(3\/4))**(1\/27) assuming w is positive.\nAnswer: w**(-7\/912)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 114 - 225 - 20*k**4 + 20*k**2 + 5*k**5 - 30*k**3 + 25*k + 111.\nAnswer: 5*k*(k - 5)*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4716403 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3683 and 1943.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 3*n + 6)*(5 - 1304*n**4 - 5 + 942*n**4) - n**4 + n**4 - 2*n**5.\nAnswer: 1084*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 153346430*y**4 + 245649*y + 80?\nAnswer: 1840157160*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 161\/1188 and ((-133)\/(-285))\/((-12)\/10).\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 121, 168, 233, 322, 441?\n\"Answer: d**3 + 3*d**2 + 31*d + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10022 (base 3) in base 10?\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by -404?\nAnswer: -23\/404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 13) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 608399 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.810131437 to one dp.\nAnswer: -7.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + ((9 - -4 - 26) + 3 - 29 - 10)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, -0.08, -3\/7, -146\/31, -4, -3\/403?\nAnswer: -3\/403","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w - 19 = 2*j - 55, -2*w = -5*j - 20. Solve w*y + 18*y - 23 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32.25 + 32.29. Which is the fourth smallest value? (a) x (b) 0 (c) 22 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (366\/90 + -3)*(8 + (-22)\/4). Factor 2\/3*d**2 - y + 8\/3*d - 2\/3*d**3.\nAnswer: -2*(d - 2)*(d - 1)*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + k**2 + 2*k - 3. Give o(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3290, 1826, 362?\n\"Answer: -1464*p + 4754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v\/(v**(-6\/7)\/v)*v)*v*v**(-3\/10)*v*v*v**(1\/6)\/v**8)**(12\/5) assuming v is positive.\nAnswer: v**(-3776\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10778078.\nAnswer: 2, 89, 151, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 93.7974 + 0.1226. Let z = -94 + k. Which is the second biggest value? (a) -1\/3 (b) 5 (c) z (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 193116258 + -9038051. Let q = -184078147.0000088 + c. Let i = 60 - q. Round i to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 4*w**2 + 8824*w + 1633632 = 0?\nAnswer: -2002, -204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l - 4. Let t be v(6). Suppose -t*x + 5*q = -28, -2*x - 3*q - 42 = -6*x. Calculate the least common multiple of x and 11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00303353465 rounded to 7 dps?\nAnswer: 0.0030335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11.9 or 14\/83?\nAnswer: 14\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1749840 divided by -240\nAnswer: -7291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 4. Suppose -4*f = 4*g - 0*f - 1916, -u*g + 3*f = -933. Is (3*g\/(-9))\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 16*b**2 - 27*b + 35. Let u be x(13). Suppose -4*k + u = t, -t - 3*k = -132 - 63. Is t a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/2297421 and 167\/42?\nAnswer: 4594842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-3 - (3 + -1) - -8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from trre. What is prob of sequence err?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 60904584 to the power of 1\/3, to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -14*u**3 - 2*u**2 + 0*u + u - 2*u**3 + 6*u**3. Give r(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 5 = 4*w. Let h = w - 1. Let m = 25 + -25. Which is the nearest to m? (a) -1\/2 (b) 3\/8 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1020.41 take away -0.19489912?\nAnswer: -1020.21510088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 680 = 108. Let i = 1381 + u. Suppose s = 2*c - 496, 0 = 2*s - 5*c + 8 + i. Round s to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 32201, 31839, 31477?\n\"Answer: -362*c + 32563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 312\/(-65)*15\/2*(-1792)\/1152?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q + 2*q - 3*q**3 + (-q**2 - 2*q**2 + q**2)*(-2*q + 3 - 3) + (-2*q + 4*q - q)*(q - 5*q**2 - q).\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5098 is divided by 1692.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n = -16*n - 4215. Let d = 67409\/16 - n. Calculate the common denominator of d and -25\/9.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 8*m + 7. Let t(w) = -2*w**2 - 13 + 0*w - 4*w - w - 10*w. What is -6*t(g) - 11*u(g)?\nAnswer: g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1205, -1226, -1245, -1262, -1277?\nAnswer: -1290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*s - 20 = 32*s. Suppose m - 5*j = 18, -m + 3*j = -17 + s. Solve 0*b - b + m = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of b**2 - 25*b - 42. What is the remainder when v(33) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (3*j + 2*j + j)*(-1 + 4 - 4)*(9*j**3 - 11*j**3 - 6*j**3) as w*j**3 + o + h*j + m*j**2 + t*j**4 and give t.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 0 = -3*b. Suppose -c = -b*c - 20. Let v = -13 - c. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2457)\/(-396) + 2\/8*-3. Which is greater: b or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, -1\/3, -9, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 8 + 4. Let u be r\/9*-1*(4 + 2). Differentiate 3*g**3 + 10 + 3 - u*g**3 with respect to g.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3ad7 (base 15) to base 8.\nAnswer: 30441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 92*g = -94*g - 28112, p + 4*g = 14061. What are the prime factors of p?\nAnswer: 14057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + s - 1 = 0, 2*p - 24*s - 54 + 105 = -169 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i + 4 - 4 + (-4*i + 7*i - 17*i)*(-35 - 136 - 226).\nAnswer: 5556*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**2. Let b = 70 + -10. Let o = b - 55. Let r(s) = -29*s + 29*s + o*s**2. What is c(r(g))?\nAnswer: -50*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -242*q*v**3 + 2*q*v**2 - 4676*q - 15*v**3 + 2*v**2 - 14*v + 3307 wrt q.\nAnswer: -242*v**3 + 2*v**2 - 4676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 - g**3 + 1 - 1)*(-8 - 59 - 1).\nAnswer: 68*g**3 - 204*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 69069672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is -66179 divided by -4?\nAnswer: 66179\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(-2\/5))**(-4)*u**(3\/8)*(u\/(u*u**(3\/4))*u)\/u)**(-1\/30))**48 assuming u is positive.\nAnswer: u**(239\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 188, 416, 724, 1106, 1556?\nAnswer: 2068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y. Let t be a(4). Suppose -t = -0*k - 4*k. What is the remainder when 30 is divided by (-1 - k)*22\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -768 and -32?\nAnswer: 24576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -264\/13, 3\/5, -0.4 in ascending order.\nAnswer: -264\/13, -0.4, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 503 is divided by 71.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/(-2) - 3887636\/204900?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -1559\nAnswer: -2\/1559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.9 - -67.1. Sort -2\/17, -4, l in increasing order.\nAnswer: -4, -2\/17, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**2 + 23*i - 57. Let h be z(8). Is (h - 3)*5824\/(-256) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(3\/4))\/(q\/q**(-2))*(q\/q**8)\/q**6 assuming q is positive.\nAnswer: q**(-57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 417.751262 rounded to the nearest 10?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -19*n. Let a(f) = -f. Let l(w) = 5*a(w) - s(w). Let d(i) be the second derivative of -2*i**3\/3 + 13*i. Calculate l(d(j)).\nAnswer: -56*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21700 and 63.\nAnswer: 195300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/24*2 + 77\/28. Solve -7*q + a = 37 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 7:45 PM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/3332 and -101\/21462.\nAnswer: 729708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -1279*v - 367*v - 307*v - 31*v as q*v + g and give q.\nAnswer: -1984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2 + 1 + (-82 - -4253)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -2. Is 0 - (-46 - (2 - l)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 10*q**2 + 13*q + 12. Let w = -661 - -649. Is z(w) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -197*o**4 - 181*o**4 + 84*o**4 + (0*o**3 + 0*o**3 - 2*o**3)*(5*o - 2 + 2).\nAnswer: -304*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -1.31 (c) -1\/4 (d) -2.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -101132121 (base 6) in base 12?\nAnswer: -6ba041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8601024, -8601021, -8601018, -8601015?\nAnswer: -8601012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j - 4. Suppose -5*m - 3*s = 43, -s + 32 = -4*m - 4*s. List the prime factors of z(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -5*b - 40, -7 = 4*k + 3*b - 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13\/12 - 26\/3. Let l(g) = g**3 - 21*g**2 + 8*g + 262. Find the common denominator of i and l(20).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 66696 + 44593. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 9*j**2 + 12*j - 9. Calculate l(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 - -42. What is the third derivative of g*r**2 + 3*r**4 + 7*r**4 - 10*r**4 - 11*r**5 wrt r?\nAnswer: -660*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 135, 115, 87, 51?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/10 + (-2)\/2. Let a(z) = -2*z - 9. Let f be a(-7). Let b be (10\/21)\/f*3. What is the closest to b in n, 0.1, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -383*h**3 + 191*h**3 + 195*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 512*x - 190*x - 165*x - 151*x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from guigiagiaiuaia. What is prob of sequence uu?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of 9*r**8\/56 - 9*r**4\/4 - 34*r. Find the third derivative of p(j) wrt j.\nAnswer: 1080*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -107*s**2. Let l(r) be the second derivative of 8*r**3 + r**2 + 478*r. What is l(n(k))?\nAnswer: -5136*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 12:24 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (636 - 353 - 422)*(6 - 6 + 2*f**2) + 0*f**2 + 0*f**2 - f**2 + (-f + 3*f - 4*f)*(0*f - f + 0*f) in the form y*f**2 + r*f + k and give y.\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 12\/395 (b) 1\/47 (c) -8\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11756 - -15228. What are the prime factors of j?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2654469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9313 and 211653.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 5 = 5*i, -i + 49 = 24*y - 13*y for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -33440 (base 13) in base 16?\nAnswer: -16b4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a = 13*a - 4*a - 6*o + 8 + 13, 2*o = 2*a + 16 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8.8, 165, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 47452214323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + 4 + -1 + -6. Suppose 5*p + 2*p + 63 = b. Let c(v) = v**3 + 7*v**2 - 18*v. Let k be c(p). What is k rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/663 and 38\/11.\nAnswer: 7293","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 58\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 8 - 3)*((-46 - 12*r + 46)*(8 - 3 - 2) + r + 2*r - 5*r).\nAnswer: -380*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 903 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: -1.957524 - 3896\nAnswer: -3897.957524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 10. Let d be w - (-2 + (1 - -1)). Let i = d - -8. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -10*g + 55. Let c(p) = 6*p**2 - 45*p + 81. Let s be c(5). What is m(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345058 is divided by 887?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 91*s**3*x**2 - 107*s**3 wrt x?\nAnswer: 182*s**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x**2 - 89*x + 264. What is i(18)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -19*y - 28*y + 53*y - 17*y + 1 + 4. Let g(i) = -11*i + 4. Calculate 6*g(n) - 5*m(n).\nAnswer: -11*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 13 + 8 - 3031*g**2.\nAnswer: -3031*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 + 17?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 185, 308, 455, 638, 869, 1160?\n\"Answer: 2*b**3 + 109*b + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-21) + -1 + 48\/21. Sort -5, a, 0 in ascending order.\nAnswer: -5, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3868 + 6999. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 5*y**3\/3 - 1502. Let u(q) = -q + 4*q + 2*q. Determine z(u(s)).\nAnswer: 125*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 1) + -5 + (3 - -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3042\/153 - 20)\/1*2)\/2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29 in -100\/23, -4, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16301377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*q**2 + 18*q**2 - 27*q**2 to y*q + m*q**2 + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -19*o**3 - 5*o**2 + 5*o + 27. What are the prime factors of j(-3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/574 + 143\/287. What is the nearest to r in -3\/10, 1.5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, f: 1, v: 1, d: 1}. What is prob of picking 1 f, 1 v, and 1 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-6)*(-24)\/(-2). Suppose b*t + 3*h - 15 - 6 = 0, 3*h = 4*t - 15. Solve t*q - 3 = 9 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -1038.\nAnswer: -5\/1038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, d: 1, l: 5, x: 3}. What is prob of sequence lx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/15 - -1 - 1. Let u = -8 + 8. Suppose -5*r - 2*r = u. Do r and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*z + 6*z. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59071362949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 146639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 1 + 3*p)*(1 + 14 - 6) + 4*p - p - 5*p)*(-1 - 1 + 1)*(-2 - 1 + 1)*(-1 + 1 + 2) in the form m*p + i and give m.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -191.8 times 0.1?\nAnswer: -19.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11111111000011 (base 2) in base 10?\nAnswer: -16323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**4\/12 + q**3\/6 + 437*q. Let h(z) = -3*z**2 - 7*z. Determine 5*f(i) + h(i).\nAnswer: 2*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 305*x**2 + 5348 - 143*x**2 + 2*x - 163*x**2.\nAnswer: -x**2 + 2*x + 5348","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6, 1277 in decreasing order.\nAnswer: 1277, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 508363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of 369*v**4\/8 + 2566*v**2. Let q(k) = k. Determine q(w(s)).\nAnswer: 1107*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -7*f**5\/60 + 98*f**2. Let x(r) = 12*r**2. Let n(q) = 13*q**2. Let j(w) = -5*n(w) + 6*x(w). Determine j(y(o)).\nAnswer: 343*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36171303*h + 471*h**3 + 36171303*h - 72342606*h.\nAnswer: 471*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1001191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1535*g + 2 - 1576*g - 2 to the form l*g + o and give l.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 32666, 33030, 33394, 33758?\n\"Answer: 364*c + 32302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kt when two letters picked without replacement from {k: 2, t: 9}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.83 plus 1?\nAnswer: 10.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38208 and 31840.\nAnswer: 191040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (1 - ((-2 - 11) + 11)) + 6\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*g + 22*g = -5*i - 4281, -2*g - 3*i = -2135. Calculate the remainder when g is divided by 159.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/6)\/(n**(1\/5)\/n))\/((n**(5\/2)*n)\/n*n**1) assuming n is positive.\nAnswer: n**(-43\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 17. Let h be 1 - y\/(-3) - -13. Let w = h - 10. Calculate the remainder when 3 is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 3420.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7302236 a multiple of 792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400115.\nAnswer: 5, 43, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1\/17))\/u)\/(u*(u\/u**(1\/6))\/u) assuming u is positive.\nAnswer: u**(-91\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 e when two letters picked without replacement from efeeffqeffeeeeeee?\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -618*r - 327*r = 3197*r + 546744 for r.\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158*z = 70*z + 352. Let a(o) be the third derivative of -1\/60*o**5 + 4*o - 2\/3*o**3 - 1\/3*o**z + 0 + o**2. What is a(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 712 and 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -2 - 2\/8)*(-744)\/93?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 11*a**3 - 1001*a**2 - 7*a + 632. What is y(91)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 n, and 1 m when three letters picked without replacement from {m: 8, n: 3, r: 6}?\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 8*q**2 + 8*q + 8. Let g be z(-7). Let h = g + 1. What are the prime factors of (h\/(-2))\/(4\/(-44))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 397 = -13*c + 306 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000010 + -11?\nAnswer: -11000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (((6\/4)\/((-129)\/1))\/((-3572)\/(-7144)))\/1\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2168190 rounded to the nearest 10000?\nAnswer: -2170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7453*m - 10067*m + 2613*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -0*t + 4. Let f(w) = -w**2 + 3*w + 2. Let n be f(2). What is the greatest common divisor of t and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -1 - (55 - 61) - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {b: 3, m: 4, p: 11}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -2751278 and -2751277 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**16)**36*(m*m\/(m\/m**(1\/17)))\/m**17 assuming m is positive.\nAnswer: m**(9521\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12561 - -50313\/4. Let s = 1 + -1. Suppose -2*c = -2*d + 30, -d + 4*c + s + 6 = 0. What is the common denominator of d and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f**2 - 5*f - 40. Let x be q(-5). Suppose 4*p = 10*p - x. Let m = -9 + 6. Put p, 5, m in ascending order.\nAnswer: m, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g - 1. Let o be q(-4). Suppose 0*m = o*m. Let x be (-5 - -5)\/(m + 2). Put -4, 3, x in increasing order.\nAnswer: -4, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/(sqrt(18)\/sqrt(2)) - sqrt(12))\/(sqrt(48)\/sqrt(2) + sqrt(24)) + 5 + (sqrt(128) + 1)*3.\nAnswer: 8 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -1055829\nAnswer: -527914.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*s - 301*s - 37*s + 539 = -10153 for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 4. Let r be (1\/(-4))\/(i\/8). Sort r, -1, 0.4.\nAnswer: -1, 0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 526*s**2 - 44*s**3 - 260*s**2 + 61*s**3 - 266*s**2.\nAnswer: 17*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 512 - 539. Is -27 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5))**(-2\/57)*(w**(1\/16))**(2\/3) assuming w is positive.\nAnswer: w**(33\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 22 = -28. Let n(z) = 5*z**2 + z - 4. What is the remainder when t is divided by n(2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 10*t + 3. Let r be a(10). Let z(q) be the first derivative of -5 + 0 + r - 10 - 12*q**2. Calculate z(-1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + -13 + (-6 - (-25 + 2 + 8)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -38*t - 146. Let z be g(-4). Solve 3*s = -z*h + 10*h - 3, 0 = -3*s - 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 124*t**2 + 116*t - 1067. Determine z(-125).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + i**2 + 4*i**2)*(43*i - 117*i - 208*i + 54*i).\nAnswer: -684*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 418*j + 1727*j - 228158 = 826*j - 1334*j for j.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69122 and 10336?\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 53 - 1\/2*r**2 - 2\/7*r**7 + 16*r**4 + 0*r**6 + 0*r**5 + 0*r - 2\/3*r**3. Find the third derivative of w(c) wrt c.\nAnswer: -240*c**3 + 384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38 or 575064?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 5*b - 1547 = 0. Suppose -847 = -7*i + b. List the prime factors of i.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112419 (base 11) to base 7\nAnswer: -1343311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in 1, -3, 2\/15, 1\/2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 609.5 + -608. What is the third biggest value in -4\/9, w, -0.3, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 15*v**2. Suppose 8*f + 0*f - 28304 = 0. Let b(x) = x + 3538 - f. What is l(b(k))?\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*5*(-1 + sqrt(243)*1*-4 + -6*(sqrt(243) + -3) + -2))**2.\nAnswer: -270000*sqrt(3) + 2452500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 3*j - 10. Let n be h(-5). Let f = 34 + n. Let l be 1*(-3 + (-50)\/f). Which is the third smallest value? (a) 3\/2 (b) -0.3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -554104 (base 6) in base 13?\nAnswer: -1809a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*w + w**4 - 3*w**3 - w**2 + 4*w**3 + 3*w - 4*w**3 to the form r*w**2 + s*w**3 + d*w + c + x*w**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-594*t + 2 + 507*t + 0)*(-t**2 - 1 + 1)*(-4 + 4 + 4*t**2).\nAnswer: 348*t**5 - 8*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-104)\/338)\/((18\/13)\/(-3)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (122592\/(-18))\/(-8) + (-42)\/18. Let n(t) = -614*t - 1. Let g be n(-5). Suppose 15*a = -l + g. Is 13 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1175 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*o - 141 = -43, 5*m = -4*o - 174. Let b = -18 - m. Calculate the lowest common multiple of b and -2 - (0 + 2 - 18).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three eighths of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -16201 divided by -1\nAnswer: 16201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1497 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 0. Let d = s + -3. Let h = 0.1 - d. Which is the closest to h? (a) -0.4 (b) 4\/5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10406.7934 to 0 dps.\nAnswer: 10407","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 6)*(-2 + 2 - 3)*(0*u**4 + 2*u**4 - 2 + 1).\nAnswer: -18*u**4 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63998 is divided by 83.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -116 + -378?\nAnswer: -505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 3:33 PM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -5*a**5 - 505*a**4 + 5430*a**3 - 13370*a**2 - 5425*a + 13875 = 0?\nAnswer: -111, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 1. Let v be t(2). Let z(p) = -p**2 - 2 + 0*p + p - 3*p + 0. Let c be z(-3). Is v >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4870)\/(-50) + 4\/(-10). Find the second derivative of 2 + 8*c - 9203*c**4 + r*c**5 + 9203*c**4 wrt c.\nAnswer: 1940*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5*1)\/((-1)\/3). Let p be b\/12 - (-3)\/(-4). Let u = 2 - 1.9. Put u, -2\/13, p in decreasing order.\nAnswer: u, -2\/13, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 14*o - 6. What is r(4)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -35*q**2 + q. Let x(u) = -7*u**2 + 29*u**2 - 14*u**2 - 7*u**2. What is g(x(o))?\nAnswer: -35*o**4 + o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 5*w**2 - w - 1. Let b(n) = -8*n**3 + 27*n**2 + 28*n. What is -b(r) - 5*j(r)?\nAnswer: 3*r**3 - 2*r**2 - 23*r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 8:33 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0295773103 to five dps.\nAnswer: 0.02958","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -5*p + 6. Let l(b) = 4*b - 5. Let t(r) = 5*d(r) + 6*l(r). Let m be t(-4). Suppose m*s + 2*s = 42. Calculate the highest common divisor of 77 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(19) - (sqrt(2736) - sqrt(19)))*-5)**2.\nAnswer: 47500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-24)\/(-88))\/((-15)\/10). What is the second biggest value in h, -3\/4, -3, -5\/3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -6*g + 20. Suppose 5*q + 27 = -3*c + 173, 90 = 3*q + 3*c. Suppose -5*x = 3*n - 23, 6*n = n + 2*x + q. Let l(a) = 2*a - 7. Calculate n*o(z) + 17*l(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5647 + 5809. What is the lowest common multiple of z and 5274?\nAnswer: 47466","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*r + 36 = -9*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-9)*-3*2\/39.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5*l + 22 = -0*l, 10 = 2*l. Which is the third smallest value? (a) 19 (b) -1\/5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -709539*a**2*c**4 - 45*a**2*c**2 + 2*a**2 + 2872*c wrt c?\nAnswer: -17028936*a**2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a decade in years?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-1\/2)\/g)**(2\/111))**(2\/47)*(g**0)**(-25\/4)\/(g\/(g*(g\/(g*g\/(g\/g**2)))\/g)*g*g**6*g) assuming g is positive.\nAnswer: g**(-57389\/5217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 1.2, -1\/229, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4 + (6*6*sqrt(539)*2 - (-1*sqrt(539) + -3 + 1)) + 1)**2.\nAnswer: 6132*sqrt(11) + 2872367","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3272 divide 296292526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 12 = 0, -2*b - 4*s = -4*b + 1094. Calculate the lowest common multiple of b and 6.\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 d when two letters picked without replacement from {d: 5, p: 1, j: 3, c: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -30033, -30475, -31215, -32247, -33565, -35163, -37035, -39175?\n\"Answer: a**3 - 155*a**2 + 16*a - 29895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d - 1008553 + 1008553.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -42498122.\nAnswer: 3\/42498122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2449?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/10 and -14\/166679?\nAnswer: 1666790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 5*b - k + 9, 3*b = -3*k - 24 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**3 + 354*k**2 - 354*k**2)*(-k**2 - 2*k**2 + 2*k**2) - 32*k**5 + 76*k**3 - 76*k**3.\nAnswer: -35*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 119166914 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 680877.\nAnswer: 3, 75653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19*z**4 + 2*z**2 - 87?\nAnswer: 76*z**3 + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1733574520?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((5*-6*(sqrt(128) - ((sqrt(128) + 0 - sqrt(128)) + sqrt(128)))*4 + 4)*1 + 5).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54.03 - 0.03. Let p = 12933 + -12986.53. Let g = p + v. Round g to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -b + 3184 - 417, u + 5*b + 543 = 0. Let k be ((-158)\/u)\/((-2)\/(-28)). Put 0, 6, k, -2 in increasing order.\nAnswer: -2, 0, k, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.2 + -0.2. Let w = 0.18 + 1.22. Let x = g - w. Is x less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.052 + -0.052. What is the fourth smallest value in -3\/4, 8\/3, -0.4, v?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -151 - -5?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 94058148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6*(-5)\/15 - 549. Let y = c - -1462. List the prime factors of y.\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 3707376?\nAnswer: 3707400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -7*c**3 + 3*c**2 - 5*c - 17. Let o(i) = -3*i**3 + i**2 - 2*i - 8. Let h(x) = 9*o(x) - 4*r(x). Let g be h(3). Solve -g = 4*v - 3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 130485 = -86*v + 82*v, j + v = 130491. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (150\/(5 + -15))\/(26185\/6547 + -4).\nAnswer: 5, 6547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u + 17. Let c be n(-17). Let p(i) = 11*i**3 + 17*i**2 - 8*i - 3. Let k(v) = 4*v**3 + 6*v**2 - 3*v - 1. Determine c*k(s) + 6*p(s).\nAnswer: -2*s**3 + 3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*w - 130 = -86 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + (sqrt(39)\/sqrt(3))**2 + -5 - -1*sqrt(1053).\nAnswer: 8 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by (49\/245)\/(1\/30).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45 - -54) + (-13 - -2) + -20?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3, -0.8, 2\/13, 4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1297169644?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**2 - 7*d**3 - 114*d - 13*d**4 - 137*d + 5*d**3 + 303*d - 2 to the form j*d**3 + u*d + w*d**2 + i*d**4 + n and give u.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*n - 4*h = -29, -h = 2*n - 51. Suppose b - 8 = -0*g - 2*g, -2*g = 3*b - 4. Suppose g*w = 182 + 53. What is the remainder when w is divided by n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1403.155m?\nAnswer: 140315.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-42))\/((-5)\/4)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, q: 6, c: 2, j: 4, g: 1, f: 1}. Give prob of picking 2 j.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccd when three letters picked without replacement from ccrddbcbbccwpcdbb.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*f**4 + 2081*f**3 + 347*f**2 - 609*f wrt f?\nAnswer: -528*f + 12486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2355*x + 2413*x + 2409*x + 2419*x + 2413*x - 14425*x + 2419*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*k + 672562 + 244353 + 200397. Calculate the highest common divisor of 14 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16057081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -a**6\/720 + a**5\/120 - a**4\/24 + 18*a**2. Let j(g) be the second derivative of i(g). Determine j(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 15*v**2 - 22*v - 40. Let q(a) = -7*a**2 + 10*a + 19. Let j(g) = 6*o(g) + 13*q(g). Give j(-7).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l**2 + 36*l + 2. Calculate k(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -345 - 1030 + 111 = -158*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p. Let t(d) = -d**2. Let q(v) = 40*v**2 - 14*v. Let k(x) = -q(x) + 3*t(x). Determine k(b(w)).\nAnswer: -43*w**2 - 14*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/3755 and 93\/165220.\nAnswer: 165220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 7*t - 14 + 12 - 2*t**2 + t**2. Let f be q(6). Find the second derivative of -4*d - 5*d**f - 9*d + 12*d wrt d.\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 779, -17, 4, -5, -67 in descending order.\nAnswer: 779, 4, -5, -17, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2182 (base 9) to base 7.\nAnswer: -4463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*a + 695 - 972 = 28*a - 8089 for a.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 5 = -10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19 + 2 - 6)*(8*a + 20*a - 18*a) to the form g + c*a and give c.\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/12464 and 71\/176?\nAnswer: 137104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/3)\/q)\/q**(-1))\/(q\/q**(-5)*q*q**3)*(q\/q**6*q**(-1\/8))\/((q*q**(-1\/2)*q)\/q)**37 assuming q is positive.\nAnswer: q**(-823\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 400 + -377 - (1 + 6).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/1)\/((3\/(-12))\/1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 - -5)*-4*(2 + -1). Suppose -4*p + 2*k = -60, 5*k - 6 - 54 = -l*p. Solve 0 = o + 2*o - p for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -l**7\/42 - 7*l**6\/40 - 37*l**5\/80 - l**4\/2 - l**3\/6 + 21*l. Determine t so that w(t) = 0.\nAnswer: -2, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/((t\/t**13)\/t))\/(t\/t**(-5\/2)))\/(t**(-20)\/t*t**(-14\/3)) assuming t is positive.\nAnswer: t**(223\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2491 (base 15) to base 16.\nAnswer: 1e6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -3) + ((-6)\/75)\/((-5)\/(-575)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + d. Let p be y(-3). Let g be 19\/39 - p\/(-78). Factor 1\/6*s - 1\/6*s**2 + g.\nAnswer: -(s - 2)*(s + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**21)**(-2\/19)*(l\/l**(-10\/11))\/(l\/l**(-8\/3)) assuming l is positive.\nAnswer: l**(-2554\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j - 2*j + 0*j)*(4*j - 2*j - 3*j) + (4*j - 5*j + 3*j)*(3*j - 18 + 18) as g*j**2 + q + t*j and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -8 - 4. Suppose c*a + u = 51 + 60, -4*u - 126 = -3*a. Suppose 2*r = -2*b + 5*r + 10, -5*b + r = -a. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-13))**(-50)*m**(-26)\/m**(23\/4) assuming m is positive.\nAnswer: m**(2473\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**2. Let n(i) = 109*i**2 + 3*i. Let f(u) = -214*u**2 - 5*u. Let v(o) = -3*f(o) - 5*n(o). What is v(h(r))?\nAnswer: 388*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8.763 + -554.763. Let d = -83656669.00237 + 83657215. Let f = d + p. What is f rounded to 4 decimal places?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 482629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d**3 + d**2 + 2*d + 1. Let a be v(-1). Suppose p - 15 = a*w - 2*p, w - 3*p + 9 = 0. Let r = -0.11 - -4.11. Sort w, -2\/3, r.\nAnswer: w, -2\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66 by -311.\nAnswer: 66\/311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 147 = -4*x + 275, 3*t + 6 = 0. Suppose -4*d - 29 = v - 3*d, 5*v = 5*d - x. Let c = -19 - v. Is 3 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5194 - -5214. Let m(f) = f + 6. Let x be m(5). Solve l = 3*u + 31 - x, -n = 4*u for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 55 = -o. Let k = o - 25. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13984 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, k: 1, w: 2, a: 4, b: 2, o: 2}. What is prob of picking 1 k and 1 g?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 2:51 AM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/6 - -5)*112\/(-8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 756 is divided by 50?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0162 * 9.\nAnswer: 0.1458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9 + -2 + (-7 - -5). Suppose -i*c + 28 - 3 = 0. Solve 0 = -v + u, c = 3*v + u + u for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wttqqzwptptwttq. Give prob of picking 1 t and 1 z.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 8*o**3 - 7*o**2 - 8*o. Let p(k) = -7*k**3 + 6*k**2 + 6*k. Calculate 4*p(w) + 3*v(w).\nAnswer: -4*w**3 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/((y**(-1\/5)*y*y)\/y)))**(-33)\/(((y*((y*y**2)\/y)\/y)\/y)\/y**(-10)) assuming y is positive.\nAnswer: y**(-187\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, f: 7, b: 3, h: 2}. What is prob of sequence bs?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 383951 and -0.6?\nAnswer: -230370.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16403, -32816, -49233, -65654?\nAnswer: -82079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r - 3. Let t = 27 - 28. Let o = t + -7. Let h be v(o). Solve -h*m + 3*l = -3*m - 11, -4*m + l = -17 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + d**2 - 1. Let p(k) = -k**3 + 4*k**2 - 5*k - 6. Let o(s) = -2*g(s) + p(s). Let c be o(-3). Solve -4*a - 4 = -c*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -160157864 and 0.9?\nAnswer: 160157864.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -28. Let x = 0.39 + 15.61. Let r = x + i. Put r, -5\/2, 1 in decreasing order.\nAnswer: r, 1, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/8*12\/90*50. Let w be (-62)\/60 + 8*n\/100. Which is the closest to -6? (a) w (b) -5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3)*(-2*f + 3*f - 3*f)*(7 + 5*f - 7).\nAnswer: -20*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 16.587024 months?\nAnswer: 1.382252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48073578 - 0.2.\nAnswer: -48073578.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*b + 4, 348*z - 351*z + 9 = 0. Which is smaller: 5\/249 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 207, 569, 931, 1293, 1655, 2017?\nAnswer: 2379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, f: 3, d: 6}. Give prob of sequence fzzz.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**2 - 68484936*b - 293136653682756 = 0. What is b?\nAnswer: -8560617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5386780?\nAnswer: 2, 5, 7, 109, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 171 - -238. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 15 + 7*k**3 + 3.\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3420 or 17099\/5?\nAnswer: 17099\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 divided by -40173?\nAnswer: -144\/13391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -299.8 (b) -7\/15 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -873 + 872.9999997797. What is f rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-2)*(-1)\/(15\/10). Suppose 0*w - 2*w - 5*y = -10, 0 = 5*w - 4*y - 25. Sort -3, w, 0, c in decreasing order.\nAnswer: w, c, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 2552 = 82*l + 236. Solve -42*h + 238 = l for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 3 in descending order.\nAnswer: 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 1 + 0)*(-1 + 1 - 2) + 2 - 1 - 3)*(-51 - 25*z + 51) - 1 + 2*z + 1 + (2*z - 4 + 4)*(10 + 1 - 3) as q*z + i and give q.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-2 - 1) + -1 + 6 - 6.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3567 = -2*m. Suppose -841 = p + 836. Let i = p + m. Round i to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-3) + 2\/(-3). Let i(x) = 10*x + 6. Let w(g) = -g + 1. Let y(q) = t*i(q) - 5*w(q). Let c(p) = 3*p + 7. Calculate -8*c(a) - 5*y(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4202\/(-5) + 1 + 3\/(-5). Round x to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.01 - 1.34. Let r = -0.35 - k. Put 2\/3, -7, r in descending order.\nAnswer: r, 2\/3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 53*u**2 - 22755*u - 15043. Determine j(430).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 709*x**2 + 631*x**2 - 2872391 + 2872391. Let k(u) = 4*u. Determine k(w(z)).\nAnswer: 5360*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3922402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 11:51 AM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 54810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**3\/10 - 98*m**2\/5 - 1022*m\/5 - 1648\/5 = 0. What is m?\nAnswer: -8, -2, 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 738780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**3 + 8*w**2 + 9*w - 8. Give s(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 335*l + 339*l = -5568, -m + 1864 = -4*l. Is m greater than 1852?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1+-112026\nAnswer: -112025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 465 + -296. Let h = -42 + q. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1122 and 921756?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68 and 1802?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 579\/(3 - 0). Suppose -5*a + 315 = 5*w, -w = 3*a + 4*w - l. Suppose 5*h + 12 - a = 0. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 78.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 185767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t - 2*t - 8*t - 6*t**3 + 10*t.\nAnswer: -6*t**3 + 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(-2) - 1\/2. Let o be (-22)\/(4\/2 + -4). Let k(v) = -3*v + o - 4 + 4*v. What is k(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4\/3 + 20*r**3 - 38*r**2 - 5776*r\/3.\nAnswer: -2*r*(r - 19)**2*(r + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**3 + 9*s**2 - 12*s + 6. Let m be t(3). Let q(l) = -2*l**2 - 4*l - 1. What is q(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of h**5\/450 - 46*h**4\/15 - 26*h**2 - 19. Factor p(b).\nAnswer: 2*b*(b - 552)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 585378594.\nAnswer: 2, 3, 3463, 9391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z**2 + z - 1. Let f be (-42)\/((9\/(-15))\/(6\/15)). Let q = 9 + f. What is the remainder when q is divided by j(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 69\/2 of a milligram?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**2 + 5*x + 5. Let n(h) = 4*h**2 - 2 + 4 + 2*h - 5*h**2. Let z(o) = -5*n(o) + 2*p(o). Let f(y) = -81*y**2. Calculate f(z(r)).\nAnswer: -81*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/9)\/(10\/9)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 - 450*k**2 + 5216*k + 5664.\nAnswer: -2*(k - 12)*(k + 1)*(k + 236)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 - -27. Let u(i) = -2*i**2 + i - 1. Let r be u(1). Sort j, 3, r in ascending order.\nAnswer: r, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2231667 smaller than -2231667?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30741, -61493, -92245, -122997?\nAnswer: -153749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*b + 14 - 56 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d**26*d)\/d)\/(d*d**(-2\/11)*d) assuming d is positive.\nAnswer: d**(277\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 0 + 0)*(0*b**2 + 5*b**2 - 3*b**2) + 2*b**2 - b**2 - 4*b**2 in the form d + u*b**2 + o*b and give u.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 12 = -3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -196 + 346. Let g = 304210282.000077 - 304210132. Let h = g - j. What is h rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21\/42*(-18933)\/4*-8.\nAnswer: 3, 6311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 274 - 275. Which is the second smallest value? (a) -6\/11 (b) k (c) 0.3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**3 + h**3 + 0 - h**2 - h**2 - 1 to the form x + i*h**3 + w*h + b*h**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29735 or -3.2?\nAnswer: -29735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 286*n**2 - 597*n**2 - 33*n**3 + 311*n**2.\nAnswer: -33*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 2 - 58. Let j be ((-30)\/d)\/(3\/(-6)). Suppose -3*v + q - 2*q + 10 = 0, 4*v = -5*q - j. Solve -14 = v*r + 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*h - 25*h + 13*h + 11*h.\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-8 - 5) + 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.103 - 0.197. What is h rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f**7\/420 + f**6\/90 + f**3\/6 + 4*f. Let m(z) be the second derivative of t(z). What is the third derivative of m(r) wrt r?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6466521 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 67354.89868 to the nearest 10.\nAnswer: 67350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 9 + 6. Suppose 0*q - n*q = -96. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1247 + 687. Suppose 8*k - p - 682 = 0. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24950986?\nAnswer: 2, 421, 29633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15818219 or -15818218?\nAnswer: -15818218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 566402762 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -447569, -895136, -1342701, -1790264?\nAnswer: -2237825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 5*h + 15, 4*m - 6 - 3 = 3*h. Solve 8*j - j - 14 = m for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2727830 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-2) - 18\/(-4). Suppose n*g - 3 - 9 = 0. Find the third derivative of 0*z**g - 2*z**3 - 2*z**2 + 4*z**2 wrt z.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8 + 102184\/318 + 2\/(-6). Calculate the greatest common divisor of h and 141.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 176, 0.09, -1\/49, 0, -5\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 5, 4, 3\/5, -0.66?\nAnswer: -0.66","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**3 - 151136*s**2 - 2855261312*s = 0. What is s?\nAnswer: -37784, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 3*v + v = -40, 2*l - 4*v + 2*v = -32 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t = -263 + 1212. Let o = t - -83. Solve -3*j - 4 + o = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-10 + 7 - -7)*166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence va when two letters picked without replacement from {h: 1, s: 1, a: 4, v: 4, z: 2, j: 3}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 6*m**3 + 4*m**2 - 9*m + 1. Let y be -1*((-1 - 3) + 5 - 5). What is the hundreds digit of f(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 2*k + 3*w + 1, 3*k + 21 = 5*w. What are the prime factors of -1*4*3\/k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, s: 1, o: 1, r: 2, j: 1, v: 1}. What is prob of sequence jo?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/2988 and -113\/897102?\nAnswer: 148918932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -0.22, 2\/5, -0.06, -2\/55, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171 - 436 = -j + 157*y + 526 + 156, 5*j + 5*y + 54 = 49 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 300 - 300 - a**3 - 2*a**4 + 11*a**2 + (-2*a**3 - a**2 + a**2)*(2*a - 5*a + 4*a).\nAnswer: -4*a**4 - a**3 + 11*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5422, -43317, -146170, -346459, -676662?\n\"Answer: -5413*y**3 - y**2 - y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 186*l + 8585. What is q(-102)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 y, and 1 x when four letters picked without replacement from {y: 3, x: 4, f: 9}.\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1003, 1000, 997, 994?\nAnswer: 991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 7:50 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*t**2 + 7*t**2 + 1 + 2*t**4 + (t**3 + 2*t**3 + 3*t**3)*(2*t - t + 0*t) + 2*t**4 - 2 + 2.\nAnswer: 10*t**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34835, 34872, 34909, 34946, 34983?\nAnswer: 35020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1863086.022ms in weeks?\nAnswer: 0.003080499375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -q**4\/78 + 4*q**3\/39 + 12*q**2\/13 - q + 47. Factor h(u).\nAnswer: -2*(u - 6)*(u + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2835 is divided by 358?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 d when two letters picked without replacement from {w: 2, n: 4, l: 1, d: 1, h: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86 - (-87 + -80) - 51.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-18)\/4)*12\/8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 3:50 AM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9522.519 millennia?\nAnswer: 9522519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/5 - (-51)\/5. Let u = -139 + 134. Put 5, u, k in ascending order.\nAnswer: u, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1144355 or -1144423?\nAnswer: -1144423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 3. Suppose 5*o + 3 = -3*c, 3*c - c - 5*o + 27 = x. Let d be (2\/c)\/((-3)\/9). Let a(l) = 6*l + 1. Determine a(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (8\/10)\/(6\/45) and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.82*1\nAnswer: 7.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6156.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2712 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j. Let d be (15\/(-6))\/5*-4. Suppose -w - 56 = -8*n + 3*n, d*w - 32 = -2*n. Let r(i) = -n - 5*i + 12. Calculate r(b(s)).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*w = -46*w - 24. Let o be (-28)\/w*2\/42. Which is the biggest value? (a) -4 (b) o (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -140, -133, -120, -101, -76?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4802 - -4972. What is the highest common divisor of u and 1090?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 27999\/(-289) - (-4)\/(-34). Let n = x + 97. Solve 15 = 5*u - n*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -94 + 167. What is the greatest common divisor of 803 and b?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -2.4. Which is the second smallest value? (a) i (b) 5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1426*p = -2030*p + 19328 for p.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/(-5))\/(100\/260).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -8790*u + 3076504. Determine l(350).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/3*(0 - -3). Let h = n - 8. Let r be h*84*-6250 + 0. Round r to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224802*w**3\/5 + 7868073*w**2\/5 - 7643373*w\/5 + 102\/5 = 0. Calculate w.\nAnswer: 1\/74934, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(3456\/160)*(-171)\/1330?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + (-74)\/(-9) - (3174 - 3165). What is the nearest to t in -3\/5, -1, -22, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*h**3 + 4*h**3 - 13*h**3 - 6 + 3*h**3 - h to the form k*h**2 + n*h + o + g*h**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-39)\/(-3) + 5 + -3. Suppose h + f = -11. Let y = 105 + h. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32094 + 32098. Solve -4*y = g + 4, 294*y = 291*y + q*g - 22 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 0, -78\/7, 1, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39 and 5889?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2197876477 to the nearest integer?\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48 - 48. Let f = 0.0163 + -2.0783. Let i = f + 0.062. Sort i, u, 4, -3\/5 in decreasing order.\nAnswer: 4, u, -3\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 463*l = 711*l - 17112 for l.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/3 + 35*j\/3 - 74\/3.\nAnswer: (j - 2)*(j + 37)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h. Let b(a) be the third derivative of -5*a**4\/24 + 387*a**2. What is b(q(s))?\nAnswer: 15*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/467472343 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(-1\/3)*z)*z)**(3\/4)\/(z*z\/(z*z*z**(-1)*z)*z)**(-10) assuming z is positive.\nAnswer: z**(41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061986219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(-1)*i)\/i*i)**(-13\/6))**(-50) assuming i is positive.\nAnswer: i**325","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 6*u + 7. Let a(s) = 2*s + 2. Let r be (4\/6 - -1)\/((-50)\/(-180)). Calculate r*y(x) - 21*a(x).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22966 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 5, -2\/17, 391, 2\/71, -5, -4?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w. Let b(i) = 658*i**2 + 12*i - 6. Let q(c) = -5264*c**2 - 98*c + 49. Let a(j) = -49*b(j) - 6*q(j). Give d(a(z)).\nAnswer: -658*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-9 + (7 - -5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/10 - (-7)\/(210\/(-249684)). Let k = -4612 - c. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - n = 5, x + 14 = -x - 3*n for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 62723*u + 5770509. Calculate z(-92).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 0. Let f = 3 - t. Suppose 2*m - 7*m = 0. Sort 1\/3, m, f in descending order.\nAnswer: f, 1\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 622622 (base 7) in base 15?\nAnswer: 218e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 1927602977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 834660 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 29\nAnswer: 2.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15641720 to the power of 1\/3, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iimn when four letters picked without replacement from {n: 2, m: 4, i: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**5 + 796*j**4 + 2400*j**3 + 2404*j**2 + 802*j.\nAnswer: -2*j*(j - 401)*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = -14 + 62. Suppose -2*p - 2649 = -5*a, 11*a - 5*p - 2655 = g*a. List the prime factors of a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + 0.06. Let z = 2.964 + 0.036. Which is the third biggest value? (a) z (b) i (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*t + 2 = 0, 3*d = 2*d - 3*t - 1. Let s be 1 + (80\/(-44) - d). Let u = 0.032 - 0.132. What is the closest to -2\/9 in 1, u, s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 20 = 2*m, -q - 3*m + 24 = 37 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/60)\/(4*(-38)\/152)*-4*1.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((18\/(-42))\/((-4)\/(-14)))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153114 is divided by 321?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express c + 201445*c**4 + c**3 + 114*c**3 + 1 - 201443*c**4 in the form a + m*c**2 + f*c**3 + w*c**4 + g*c and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2776 + 2164 = 187*y - 1734 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 944*l**3 - 12*l**2 - 4*l + 5. Let m be v(10). Let x = m + -18850759\/20. Let t = 227 - x. What is the common denominator of 103\/12 and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8708\/5455 + -4\/1091. Let y(j) = -2*j**2 + j - 1. Let q be y(1). Which is bigger: m or q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 8803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1084 a factor of 43112848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 32 - 40*h + h**2 + 19*h + 20*h. Let p be q(0). Suppose 10*w = 2*w + p. Solve w*c + 2 = -2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19599889 and 2164.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 47829*r**2 - 541*r - 47832*r**2 + 11787 + 476*r + 19*r**3 with respect to r.\nAnswer: 57*r**2 - 6*r - 65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10001 (base 2) to base 16\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ok when two letters picked without replacement from psonkkg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 - 76\/(-16))\/(1\/(-8)). Solve -c*v - 2 = -4*a, -3*a = v + 1 + 5 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**4*n + 50*i**2*n + i + 281*n wrt i.\nAnswer: -12*i**2*n + 100*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5849237 nanometers in kilometers?\nAnswer: 0.0000000000005849237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.018593 years in months?\nAnswer: 96.223116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7051*j**3*u**6 - j**3 + 18*j**2*u + 77*u**2 wrt u.\nAnswer: -846120*j**3*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = q + 27. Suppose 2*y = -4*i + 136, 0 = -0*i - i + 3*y + q. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/24 + 3\/8. Suppose o*c**4 + 1\/6*c**3 - 1\/6*c**5 + 0 + 0*c - 1\/3*c**2 = 0. What is c?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 8*d + 1. Let i(n) = 2*n**2 + 33*n + 4. Calculate 2*i(x) - 9*l(x).\nAnswer: 4*x**2 - 6*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 20*d**4 + 25*d**3 + 20*d**2 + 25. Let z(v) = v**4 + v**3 + v**2 + 1. Let i(s) = -k(s) + 25*z(s). Find the third derivative of i(u) wrt u.\nAnswer: 120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a meter in centimeters?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 1898, 16, 107.8 in descending order.\nAnswer: 1898, 107.8, 16, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10532 - 23?\nAnswer: -10555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -17*y - 91. Give p(-3).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 3*g**2 + 3*g - 6. Let l be (-2)\/(-4)*-10 - 0 - -1. Let o be z(l). Let c be (-3 - 1 - o)*-2. Solve -c = -4*v - 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 166*21\/14*1. Let y = l + -221. What is the smallest common multiple of y and 21?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 4. Suppose -5*v + 57 = f. What is the least common multiple of 1 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 725 - 5562?\nAnswer: -4635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (239*a - 134*a - 141*a)*(3 + 2 - 2).\nAnswer: -108*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44878*a**3 + 13*a**2 + 24*a + 4?\nAnswer: -269268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4881*1*(15\/45)\/(-1). Let x = -767 - d. Does 20 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.8 + -43.3. Let a = 38 + s. What is the third biggest value in 27\/4, -0.1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 65 = 5*h, -4*h - z = -2*z - 42. Solve 6*d + 19 = -3*c + 8*d, 2*c = d - h for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00102966 to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 778968581?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 3:45 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -12*f**2 + 23*f + 27. Let d(n) = -4*n**2 + 8*n + 9. Give -17*d(a) + 6*v(a).\nAnswer: -4*a**2 + 2*a + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v + 22*v - 42 = 0. Calculate the highest common divisor of v and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 + (-17 - -26) - 5.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*o + 31 = -230 + 1125 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3275 - 0.3175. Which is the closest to -6? (a) k (b) -4\/9 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18850*h**2*n**3 + 3*h**2*n**2 + 2*h*n**3*q**2 - 511*h*n**2*q**2 - 31*h*n**2*q - 3*h*q**2 + 5*n**3 wrt n?\nAnswer: -113100*h**2 + 12*h*q**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 12:40 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 6:17 AM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40835*z**6 + 50*z**2 + 10*z - 16 wrt z.\nAnswer: 4900200*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 2*n + 82, -n - 67 = 4*w + 4*n. Let d = 37 - w. Let s be (-1)\/10*(-25)\/d. Which is smaller: s or 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 14*w**2 - 27*w - 8. Let g(h) = 84*h**2 - 161*h - 48. Let n be -3 - (2 - 2) - -15. Suppose -2*b = n + 56. Let y(a) = b*p(a) + 6*g(a). Factor y(c).\nAnswer: 4*(c - 2)*(7*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31197*-1*3\/(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1480e (base 15) to base 12\nAnswer: -321ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6226 by 965.\nAnswer: -6226\/965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -329.9613 times -58?\nAnswer: 19137.7554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0023 + 0.1423. What is the smallest value in 1\/6, -2\/15, l?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/18875?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -8, 4, -3, -188602, -2 in increasing order.\nAnswer: -188602, -8, -5, -3, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -550155043 - -115?\nAnswer: -550154524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39.976 - 40. Let f = l + -1.416. Let r = 0.44 + f. Which is the nearest to 1\/2? (a) -4 (b) r (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2, 0, 3 in ascending order.\nAnswer: -9, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78 + 68 + 57 - (-23 + 0).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 3. Let a(x) = 66*x**3 - x**2 + x - 1. What is the tens digit of a(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 3. Let h = 24 + -37. Let g = 14 + h. Which is the nearest to g? (a) w (b) -2\/5 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.01 - 1.99. Let r = h + 1. Let y = 0.23 - -0.07. What is the second smallest value in r, -4, y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/20214216 and -149\/792?\nAnswer: 20214216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11239777 to the nearest integer?\nAnswer: 3353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 9, o: 7}. Give prob of picking 2 o.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*1*3 + sqrt(77)*-1*6 + sqrt(77))\/(-4*sqrt(11)*-2*-4))**2.\nAnswer: 7\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 14*o + 9. Let r = -113 - -109. Let h(p) = -3*p - 2. Let a(q) = r*n(q) - 18*h(q). Let x(l) = 21*l**2. Determine a(x(g)).\nAnswer: -42*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 199035136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 19*f**2 - 4*f. Let o(n) = 2*n. Let k(m) = -m. Let i(a) = k(a) + 4*o(a). What is q(i(z))?\nAnswer: 931*z**2 - 28*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 853?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273300.\nAnswer: 2, 3, 5, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*21*(-20 - 8). Let w = -557 - a. What is the remainder when 43 is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/10? (a) -2 (b) 20\/11 (c) -0.03 (d) 5.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 119*a + 42. Let o(l) = 14*l + 5. Suppose -7*w - 4*b = -306, 17*w - 3*b - 327 = 9*w. Suppose -3*j = 2*j + 25. What is j*r(h) + w*o(h)?\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 861\/42 - (-2)\/4. Let b = 829 + -472. Calculate the highest common divisor of q and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 6. Suppose m = f + 3*f - 156. Is f a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g. Let z(t) be the third derivative of -t**5\/20 - 4*t**2. Determine z(a(x)).\nAnswer: -27*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a decade in months?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 5*j + 4*j)*(-3*j + 3*j + 3*j + (5*j + 3*j + 2*j)*(-2 + 1 - 1))*(2 - 7 + 3).\nAnswer: 68*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3100020 (base 4) in base 7?\nAnswer: -53556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -2*i - 48. Suppose -y - k + 144 = 0, -570 = 2*y - i*y - k. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-75)*1\/18*120 - -5.\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n - 5*w - 15, 1182 = -3*n + 6*w + 1200 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - 1 - 5 + 2)*(l + l - 4*l)*(0 + 2 + 0).\nAnswer: 8*l**2 + 16*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 426\/(-6106) + 22880\/(-559)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -505, -778, -1051, -1324?\n\"Answer: -273*i - 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-10)*n**(-2\/47)*(n**(-4))**(10\/3))**(-27) assuming n is positive.\nAnswer: n**(29664\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21432217?\nAnswer: 41, 522737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 plus -1596.5670382?\nAnswer: -1597.3670382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*3*3\/27*-3. Suppose c = 6*b - 26 + 8. Suppose -2*k + 3*i - 14 = -49, -3*k = b*i - 45. Does 3 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4 + 592800*q**3 + 592801*q**2.\nAnswer: -q**2*(q - 592801)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.20709 and -697.318361.\nAnswer: -698.525451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0040763705 rounded to four dps?\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/(25 - 27) - -83. Solve -x + 76 = q + v, 5*x - 3 = -3*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124890 to the power of 1\/2, to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10314 by 1719.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.09748 - -25600\nAnswer: 25600.09748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 b when three letters picked without replacement from {v: 2, y: 4, z: 2, b: 8}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1758 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z - 21. Let i be a(-5). What is the biggest value in 2, -1\/2, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 66, -242, -1108, -2814, -5642, -9874?\n\"Answer: -47*r**3 + 3*r**2 + 12*r + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 59522426 to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -18*z**2 - 1350*z + 55. What is a(-75)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 754073 is divided by 251354?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l = 12*l + 1185. Let a = l + 155. Calculate the greatest common divisor of a and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*z + 0*z - 48*z to the form w + x*z and give x.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/6)\/(1\/(-18)). Suppose -4*n - 5*d = p, -2*d = -3*n + 4*n + 6. Put 5, n, 7 in decreasing order.\nAnswer: 7, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1311501 to 4 dps.\nAnswer: 0.1312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 594, 1174, 1740, 2286, 2806, 3294, 3744, 4150?\nAnswer: 4506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/17 in 0.2, -5, -123905\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 10*z**2 - 2*z + 13. Is a(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 575201 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 23 + 14*f - 16.\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20520.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 580 - 569. Let d(s) = 8*s + 355. Let t(w) = 3*w + 117. Let p(b) = y*t(b) - 4*d(b). Let o(r) = 2*r. Determine p(o(g)).\nAnswer: 2*g - 133","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 578353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2010240 divided by 67008.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 536668072?\nAnswer: 2, 19, 829, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 6) + 2112\/320\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8*2*(-3)\/(-3). Suppose -14*f = -10*f + g. Let l be 3 + -6 - 13\/f. What is the closest to 2\/5 in 0, l, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-56) + (3\/(-12) - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1*81.3\nAnswer: 81.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.1 (b) 6\/13 (c) -1\/7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, -15, -1612, -3, 3, -1 in decreasing order.\nAnswer: 36, 3, -1, -3, -15, -1612","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -19. Suppose -3*t = -x*t + 132. Let l = t - 31. Solve -2*y + l = -5*i - 3, 0 = 3*y + 6 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n - 11. Suppose 7 = -t + 2. Let q be j(t). Let i(s) = -s**3 + 2*s**2 + 7*s + 6. Let l be i(q). What is the greatest common divisor of 1 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*8 - 18\/(-63)*(-122 + 136)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + sqrt(5) + 1)*-2 - ((0 + sqrt(180))*-2 + -1).\nAnswer: -39 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/3)\/w**6)**(2\/7)*((w*(w**(3\/8)*w)\/w)\/w)\/(w*w\/(w*(w\/(w**2*w*w))\/w))*(w**(-1))**16 assuming w is positive.\nAnswer: w**(-3769\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1565023.47 to the nearest 100.\nAnswer: 1565000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1122460, 2244902, 3367344, 4489786?\nAnswer: 5612228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18757\/8631 - 189\/137. Calculate the common denominator of 44\/35 and j.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = 4*a, -26*a + 23*a + 28 = -5*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*o - 17*o + 35*o + 6525 = -88*o for o.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2074445 by -2074445.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0*o + 4*o + 33 = 0, -2*f - 54 = 5*o. Let h be (f\/170)\/((-2)\/15). Let 0*r**3 + 0*r - 3\/4*r**2 + 0 + h*r**4 = 0. What is r?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1287 + -3350. Let n = 947 + l. Is (-10)\/25 + n\/(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, x: 6, y: 8}. What is prob of sequence hh?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11567 + 271?\nAnswer: -11276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (7 + 4)) + (-1 - -5) - -3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of s**5\/10 + 27*s**4\/2 + 53*s**3 + 79*s**2 + 546*s. Factor a(h).\nAnswer: 2*(h + 1)**2*(h + 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5700 and 2850?\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + k**2 + k + 2. Let c = 15 - 10. What is the remainder when c is divided by o(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0253 * -0.0494379\nAnswer: -0.00125077887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 3*v, -18*v + 22*v = 2*m - 12. Suppose 5*n - 5*p - 55 = 0, 0 = -p + m - 6. Solve -5 = c - n for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*q + 5*q - 148. Let t = q + 111. What is the remainder when t is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 271.93812 months in millennia?\nAnswer: 0.02266151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*f**2*u**3*y**2 - f**2*u**2*y**2 - 5*f**2*u**2 + 19*f**2*u*y - u**3*y - y**2 wrt y.\nAnswer: 36*f**2*u**3 - 2*f**2*u**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 56516410 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 16 = x, 0 = o - 2*x - 750. Let z = o + 1191. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/9613 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*t = 31*t + 6. Let c = 2 + 0. Suppose 0 = t*y + 2*n - 4*n + 6, 15 = -5*y - c*n. Which is smaller: -2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.361 + -115.361. Let m = i - -118. Let p(v) = -v**2 - 5*v + 4. Let z be p(-5). Which is the biggest value? (a) 3\/5 (b) z (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 8*h**2 + 188*h + 124. Let p(d) = -d**2 - 27*d - 17. Let i(u) = -3*l(u) - 20*p(u). Factor i(j).\nAnswer: -4*(j + 2)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/14 - 7\/((-686)\/(-1162))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 571, 471, 315, 103, -165, -489, -869?\nAnswer: -1305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1110 - 1089.596. What is g rounded to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s - 21. Determine b(-13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 4:19 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -5053602.676 to the nearest one hundred thousand.\nAnswer: -5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5653457947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a factor of 9298143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -203*o. Let u(w) = 5*w**2 + 21*w - 7. Let n(l) = 2*l**2 + 9*l - 3. Let x(t) = -14*n(t) + 6*u(t). Determine j(x(m)).\nAnswer: -406*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(-4\/5))\/k*k*k**9*k*k**9*k**(4\/5)*k)**2 assuming k is positive.\nAnswer: k**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 493 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*m**2 - 2*m**2 + 2*m**2)*(-9*m + 15 - 15) + 4*m**3 - m**3 - m**3 - 43 + 43 + 20*m**3)*(-3 + 3 - m)*(3 + m + 1 + m).\nAnswer: -8*m**5 - 16*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g\/(g*g\/g**1))**(-25)\/(g**(-1\/3)*g*g**(2\/9)))**(-10) assuming g is positive.\nAnswer: g**(4580\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 160360380.\nAnswer: 160360380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18957 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 + 19. Let o(j) = -3 - 2 + j**2 + 7*j + 4 + 0*j. Is o(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.61 + 0.61. What is the nearest to y in -2\/11, 2\/9, 1\/2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8664, 14216, 19768, 25320, 30872?\n\"Answer: 5552*i + 3112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -12 - 28. Solve 21 = 3*r - 4*o + 6, 0 = 5*r + 5*o + q for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 549 - 441. Calculate the lowest common multiple of 12 and n.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z + 2*z = -5*v - 15, -4*z = 2*v - 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -141216, -282445, -423674, -564903, -706132, -847361?\nAnswer: -988590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -p - 41, 2*z + 49897*p - 49901*p = -z + 47 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3412 (base 12) to base 11\nAnswer: 437a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 68*i**2*v**3 + 2*i - 4*v**3 wrt i.\nAnswer: 136*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73657 = -86*b - 76065 for b.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0*l = -4*l - 24, i - 2*l - 14 = 0. What is the highest common divisor of i and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -33183202*m**2 + 27612767?\nAnswer: -66366404*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37438587?\nAnswer: 3, 4159843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -13 (b) 2 (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, r: 3, i: 1, x: 4, e: 1, m: 6}. What is prob of picking 1 e and 1 r?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -5, -1, -225, 5, 3, -4 in ascending order.\nAnswer: -225, -5, -4, -1, 3, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17.9 - 9.9. Which is the third biggest value? (a) x (b) -2 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 599714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 20*k**2 - 13*k + 116. Let t be x(-19). Suppose p - 4*p = -9. Suppose p*j + t*j = 30. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g. Let w(o) = -o. Let a(i) = -66*i. Let n(s) = a(s) + w(s). Determine p(n(l)).\nAnswer: 134*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 15 = w - 3*j, -2*w - 5*j = -1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 224.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 98.70911 meters?\nAnswer: 98709.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8041723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.069 + 0.278. Let i = y - 0.409. Which is the second biggest value? (a) -2 (b) 2 (c) -1\/8 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1032826429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63 + 2*o - 70 - 60 + 56*o**3 + 194 + 2*o.\nAnswer: 56*o**3 + 4*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1453 - 1452.8. What is the nearest to 1 in -3\/8, -3\/5, 0.5, s?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*i + 23 = 54*i - 4*y, -4*i = 2*y + 18. Let x(q) = 13*q**3 + 5*q**2 - 3*q - 7. Determine x(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*z + 17 + 53 = 7*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/1)\/(231\/77)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 10:13 PM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d**2 - 15. Let f(s) = s + 11. Let y(r) = 2*r**2 + r + 11. Let n(q) = f(q) - y(q). Give i(n(a)).\nAnswer: 12*a**4 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -3. Let h(t) = -2*t + 72. Let a be h(31). Suppose -s = w - a. Solve 0*x = 2*x + w for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146193 divided by 3?\nAnswer: 48731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 - (4 + -8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*i**3 - 193*i**2 + 193*i**2 + (-2*i - 3*i + 2*i)*(-3 + i**2 + 3) as f*i**3 + t*i**2 + m*i + r and give f.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -122577*u**2 + 53243?\nAnswer: -245154*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 5 + 3*o + 5)*(0*o**2 + 2*o**2 - 4*o**2).\nAnswer: -6*o**3 - 8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2\/3*5*(-36)\/30\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - -1) + 1710\/(-55). Let w = t + 1995\/44. What is the common denominator of w and (-201)\/(-16)*(-6)\/(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, c: 1, h: 1, w: 1, x: 2}. Give prob of picking 2 x, 1 b, and 1 w.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 6*s**3\/5 - 2*s**2\/5 - 24*s\/5 + 8\/5 = 0?\nAnswer: -2, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116153169?\nAnswer: 3, 11, 3519793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*u - 2*u. Let i(l) = 4*l**2 - u*l**2 + 4*l - 7 - 1. Let d be i(-6). Solve 0*y + 26 = 4*w - 2*y, 31 = d*w - 3*y for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.52 in -4, -6639, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**3 + 1112259*c**2 - 2224482*c - 8898024 = 0 for c.\nAnswer: -2, 4, 370751","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9027191 to the nearest integer?\nAnswer: 3005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 7*v + 2. Let s be d(-7). Suppose 0 = -3*t - s*t + 65. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439573 times 1321?\nAnswer: 580675933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-6 - -1) + (-3 - (-4431)\/490) and 39\/4.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 4*m**2 + 10*m - 7. Let k be a(-6). Solve -14 = y - 2*w, -k*y + 5*w = -3*y + 33 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*n = -168*n + 81*n + 765 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + -5)*(-52)\/65. Suppose n - 3 = -g, -4*a - n = 1057. What is the lowest common multiple of 16 and a\/(-15) - (-14)\/35?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001733956 rounded to 5 dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 206495 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 417*a + 2527200 + 2527197 - 417*a - 5054397 - 3*a**2.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -340 - -135. Let y = 218 + h. Solve -y*a + 4 = -9*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.988481 rounded to one decimal place?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 108406?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 9968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 1668*k - 2 + 56*k**2 - 1669*k to y*k + n*k**2 + r and give n.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of h**4\/4 - 29*h**3\/3 + 16*h**2 - 14*h + 16. Is m(28) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = t - 2*t + 3*r, 2*r = 2*t + 96. Let i = -43 - t. Calculate the highest common divisor of 7 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.86 - 3.36. What is the nearest to -3 in 9, z, -2, 2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/4480*-7*15\/(-45)?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 122, -3885, 4, 1 in ascending order.\nAnswer: -3885, 1, 4, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 532?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 10*t + 14. Let p be w(-11). Suppose p*v = -4*v + 287. What is the remainder when v is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 1270*d**2. Let q(b) = 12*b - 10*b + 24 - 41 + 17. Determine x(q(t)).\nAnswer: 5080*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 0\/(-1) + 0. Let a be -3*(-15)\/18*2. Let g(c) = -a - c + 1 + f. Calculate g(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 241051921*l**3 + 194*l**2 + 90195*l + 4 wrt l.\nAnswer: 1446311526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1639, -1706, -1865, -2164, -2651, -3374?\n\"Answer: -8*l**3 + 2*l**2 - 17*l - 1616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 + 260 - 260.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/6 and ((-6)\/(-16))\/(18\/452).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 m when two letters picked without replacement from {m: 4, i: 2, b: 1, h: 5, r: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 730 - 428. Suppose -3*y = -568 - r. Round y to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + h - 332 = 2*h, 2*j + 5*h - 122 = 0. Does 11 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 bigger than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 16*n**3 + n**2 - 2*n - 2. Let q(z) = -z + 11. Let i be q(4). Suppose -2*k + 5 - i = 0. Give g(k).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 1167*p - 1647. What is the thousands digit of l(14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of -b**5\/60 + b**4\/24 - b**3\/3 - 2*b**2. What is k(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 e, and 1 r when three letters picked without replacement from {r: 2, s: 4, y: 2, e: 1, j: 8, w: 2}?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(162\/441) - 4*1\/((-2)\/4)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -68432 divided by -2\nAnswer: 34216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -8*a - 79. Determine r(6).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 99.801 and -0.3?\nAnswer: -29.9403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -443 + 1.7.\nAnswer: -441.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - (2 + -4))*14. Put d, 4, 0.3 in descending order.\nAnswer: d, 4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22467288.00091 + 22467407. Let q = -119 + a. Round q to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27843 divided by 1\nAnswer: -27843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 52\/(-14) + 9\/3 + 1. Let g = -3.2 + 2.2. Which is the closest to l? (a) g (b) 1\/2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ctcfaxdxt. What is prob of picking 1 f and 1 a?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 961749 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: Collect the terms in 68*m**2 + 69*m**2 - 267*m**2 + 65*m**2 + 66*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19*-1259.\nAnswer: 23921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10202 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 1\/98 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396) + ((sqrt(396) + 4 + sqrt(396))*-2)**2 + (3*sqrt(121)*6)\/sqrt(11).\nAnswer: 408*sqrt(11) + 6400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -24*w**2 - 15*w + 7. Let h(r) = -19*r**2 - 15*r + 6. Determine 5*h(k) - 4*n(k).\nAnswer: k**2 - 15*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33 by 1102.\nAnswer: 33\/1102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 488456566 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 47 (b) -0.04 (c) -0.2 (d) 2 (e) -5 (f) -88 (g) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**2 - 2*b**2 + 4*b**2 + (-3*b + 2*b - b)*(-3 + 5*b + 3).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 30. Let f be -5 + (-115)\/(-5) + 0. Let g = -8 + f. What is the highest common factor of g and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*b**2 - 12*b**2 - 11*b**2 + (-2 + 2 + 2*b)*(-7*b + 5*b + 12*b))*(-4*b**2 + 3*b**2 + 8*b**2) as y*b + n*b**4 + l*b**2 + t*b**3 + c and give n.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -11*o**2. Let w(f) = 431*f. Calculate v(w(a)).\nAnswer: -2043371*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22057 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 839*p - 263*p - 578*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -208, 0, 4, -112 in decreasing order.\nAnswer: 4, 0, -112, -208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1892, 9\/2, -5?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 12:06 AM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s + 8 = 7*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54 + -44. Suppose 809 + 1291 = -t*f. Let w = f + 2728\/13. What is the second smallest value in w, -0.12, 0.2, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -1. Is 7 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 17*t**2 - 6*t + 8. Let a be k(16). Suppose -8*x + 15*x = a. Let l be ((-6)\/x)\/((-1)\/(-4)). Let o(j) = -5*j**3 - 2*j**2 + 1. Calculate o(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 291 (b) 3\/5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 18, 2.74, 0.4?\nAnswer: 2.74","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*u**4 + 3351*u**3 - 1023*u - 164815466.\nAnswer: -12*u**3 + 10053*u**2 - 1023","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 25*k**2 + 18*k - 17. Is g(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 52*z + 321. Let j be g(-6). Solve 13*x + j*x = 11*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 115050695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1722 and 3801.\nAnswer: 311682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-2694)\/38 + (-6 - (5215\/(-95) - -49))\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90530 rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p**2 - 11*p - 8. Let v be i(7). Let z = 55 - v. Let s = z - -169. What is the remainder when s is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -152 + 15*r**3 + r + 152. Let z be d(1). Solve 4*i - 27 = 3*u, 4 = -4*i + z for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -5*x + 1. Let i(d) = 92*d**2 - 31559589*d + 31559589*d. Calculate i(v(h)).\nAnswer: 2300*h**2 - 920*h + 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3577 divide 1744801596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -2227290579.817.\nAnswer: 2227290579.817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/41)\/c)\/c*(c**(-16\/9)\/c)\/c*c*c*c**31*c*(c\/(c**(19\/2)*c))\/c)**(-19\/5) assuming c is positive.\nAnswer: c**(-49837\/738)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76 and 495089631?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 6 = x, 5*q + 62 = -4*x + 60 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -4*w + 30. What is the third derivative of 487*n**3 - 7*n**2 - 487*n**3 + 5*n**w wrt n?\nAnswer: 300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/5 - 32*f**2\/5 + 2438*f\/5 + 4988\/5.\nAnswer: -2*(f - 29)*(f + 2)*(f + 43)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80 + 22 + 38*h**3 + 47 + 8*h**3 - h**2 + 17*h**3.\nAnswer: 63*h**3 - h**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11535829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 10:52 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -dd (base 16) to base 9\nAnswer: -265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 137600 and 384.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 160123577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 36 = -11*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 110 and 8488850?\nAnswer: 93377350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53124 is divided by 25991.\nAnswer: 1142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -835, -6553, -22059, -52249, -102019, -176265?\nAnswer: -279883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - ((-257344)\/(-85782) + -3). Let n = l - 1243987\/6347868. Let h = -2\/37 + n. Sort 2\/3, -2\/13, h in descending order.\nAnswer: 2\/3, -2\/13, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1178.681 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*c - 26*c + 69 = 0. Let d = c - 41. Calculate the smallest common multiple of 14 and d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -279855233522*i**4 - 20709269325316*i**3 - 383120485998818*i**2 + 24580800816*i - 394272 = 0 for i.\nAnswer: -37, 12\/374069","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1014 = 41*g + 4458. Are -84 and g unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -5*x + 1. Let r be c(-1). Suppose 68 = -2*h + r*h. What are the prime factors of h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3607, -3622, -3651, -3700, -3775, -3882?\n\"Answer: -w**3 - w**2 - 5*w - 3600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2137570*u**3 + u**2 + 186310*u + 6 wrt u.\nAnswer: -12825420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - (11 - 11)) + 63 + -124 + 58\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one eighths of a meter?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317572 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 891 = 361*l - 1266 - 1092 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate v**2 + 2944859*v - 10479912 with respect to v.\nAnswer: 2*v + 2944859","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (192\/432)\/(-5 + (-188)\/(-180)*5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6356, -11632, -16908?\n\"Answer: -5276*g - 1080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22820\/14183 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(1700) + -3 + sqrt(34)\/sqrt(2))*-4)**2 + ((-1*sqrt(170) - sqrt(170))*1)\/(-6*(sqrt(10) + sqrt(40))))*5.\nAnswer: -47515*sqrt(17)\/9 + 165280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1463*u**3 + 83432884*u**2 - 83432884*u**2.\nAnswer: -1463*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3822811, -3822855, -3822929, -3823033, -3823167, -3823331?\n\"Answer: -15*a**2 + a - 3822797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.2 (b) 15.3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-75)\/(-80))*-189*65\/(-546)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q - 5*h + 59 - 21, -5*q + 3*h = 26 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 11 + 19)*(43 - 3*m + 70 - 14) in the form a*m + g and give a.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 7*x. Let n be p(7). Suppose 5*v - d - 32 = 216, -4*v - 5*d + 181 = n. Is v a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -131 - -141. Solve 3*j + j = -5*g - t, -5*j + 4 = -2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3591 - 1753 - 7056*c - 1838 to v + u*c and give u.\nAnswer: -7056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5167 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*p - 54 = -16 + 22 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -19 - 9*g**2 + 37 - 9*g - 5*g**3 - 16. Let m(k) = -2*k**3 - 4*k**2 - 4*k + 1. Determine 9*m(z) - 4*v(z).\nAnswer: 2*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -229047243432 - 0.0405.\nAnswer: -229047243432.0405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**2 - 3*z**2 - 2*z**2)*(10 + 3 - 19) + 2*z**2 + 1 - 1 - z**2 - 2*z**2 + 4*z**2.\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 18 = -2*w. Let u be (-1 - w)\/(14\/21). Let h = 32 - u. Round h to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**23*y)\/(y\/(y*(y\/(y*y\/(y*y\/(y*y**(-8)\/y))*y))\/y*y)) assuming y is positive.\nAnswer: y**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 28 + 186 = 3*g, 5*o + 5 = 0. Let q = -47 + g. Differentiate 22*w**4 + 9 + 7*w**q - 33 with respect to w.\nAnswer: 116*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00278669 rounded to five dps?\nAnswer: -0.00279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - v**2 - 2*v - 17. Let g be t(-7). Calculate the common denominator of -43\/46 and -1 - g\/(-35) - -6.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-2)*(-24)\/18. Suppose 5*k = 3*y, -y + k - 8 = -c*y. What is the greatest common factor of 35 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 421817*d - 1357733 with respect to d.\nAnswer: 421817","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4746661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 609, 54, -5, 2, 6, 4 in ascending order.\nAnswer: -5, 0, 2, 4, 6, 54, 609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(5*(sqrt(832) + (sqrt(832) - sqrt(832)*-1)) - (sqrt(832) - (sqrt(832) + 1 + sqrt(832) + 3)))*-4 + 5 + -5)**2.\nAnswer: 409600*sqrt(13) + 85203200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*a - 5*a - 2*a)*(-7*a - 5*a + 4*a) + 13*a + 2*a**2 - 13*a.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5*w - 36 = 0. Suppose 0 = -3*k + u + 56, -69 - 9 = -4*k + 3*u. Calculate the lowest common multiple of (-2)\/4*(-2 - w) and k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6262.99 + 6263. What is the second smallest value in 0.2, k, 1, -3\/8, 2\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5258 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -36*-3*((-62)\/12 + 5). Which is the closest to -3? (a) 5 (b) x (c) -2\/7 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6755350183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -55, 8.3, 2\/7, -7\/135, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - -1. Let k = 10 + s. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1818*l**4 - 3622*l**4 - 211*l**3 + 1809*l**4 - 2 to n + v*l**4 + z*l**2 + y*l + j*l**3 and give j.\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m. Let j(v) = -84*v. Let p(h) = 154*b(h) - 2*j(h). Let y(c) = c - 1. Let x be y(2). Is p(x) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10010 + 3?\nAnswer: -1000a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.12745 + -564.02745. Let l = 590 + t. Round l to the nearest integer.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31193 - 17128. List the prime factors of n.\nAnswer: 5, 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 5*r - 6108 = 0, -2092 - 2492 = -3*k - 3*r. Suppose -2215 = -2*c + 3*o, -3*o = 2*c - 677 - k. Is 31 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 4*i - 9. Determine n(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 99*d**3 - 649*d**2 + 121*d**3 - 8*d + 668*d**2 wrt d?\nAnswer: 1320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t + 2*t - t + 19. Let p be a(12). Suppose -4*r + 57 = 1. What is the highest common divisor of p and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 0*y + 0*y)*(2*y - 3*y + 3*y) + 4 - 2 + 3*y**2 + 0.\nAnswer: -y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 410*x**3 - 186*x**3 - 184*x**3.\nAnswer: 40*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -75 - -195. Suppose -c*n + 15 = -117*n. Solve 3 + 7 = n*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 6 - 3*f**2 + 6. Let w(a) = 2*a**2. Give w(n(t)).\nAnswer: 8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1120104 - 1002?\nAnswer: 1114102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7515.2 and -577.\nAnswer: 6938.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-5))\/((-4)\/10)*(-1673)\/(-2151).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 6*g**2\/7 - 824*g\/7 - 552\/7 = 0.\nAnswer: -2\/3, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*z + 76*z = -58*z + 368 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -13. Solve 4*b - 2*y + w = -4*y, -4*y = -4*b - 8 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h - 20*h = -468. Suppose 12*v - h - 84 = 0. Suppose -v = -15*p + 10*p. Let f(z) = 2*z + 1. Calculate f(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h**2 - 6*h + 9. Let s(y) = 2*y - 15. Let k be s(10). Let f(o) = -k*o + o - 17 - 5*o**2 + 15*o. Let q(l) = 6*f(l) + 11*u(l). Factor q(j).\nAnswer: 3*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**3\/8 + 3917*t**2\/8 - 1470*t = 0.\nAnswer: -3920, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(8 + 1)*12. Suppose -s - 2*s = -6. Let r be 12 + -10 + -3*s. Which is the closest to -2\/3? (a) 3\/7 (b) u (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, q: 1, t: 1, y: 1, r: 1}. What is prob of sequence ot?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22\/1347 - -15467\/204744. Let b = -1929\/152 - t. Calculate the common denominator of b and -30\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.05, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 340688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 4, -1861265, -11 in descending order.\nAnswer: 7, 4, -11, -1861265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (2 + 6 + -8 + 6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1114 <= -1113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x - 4 + 4 + 1 + x + 4*x - 4*x + (0*x + 5*x - 3*x)*(0 - 1 + 0) + 2*x + 0*x + x.\nAnswer: 5*x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-52)\/(-20) + 4\/10. Suppose s*p = -5*c - 16, -6*c = -4*p - 2*c + 32. Suppose -4*z = -x - 1, 4*x = -0*x - p*z + 72. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a litre in millilitres?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 5*g - 53. Let b be z(10). Let s(q) = -q. Let l(r) be the first derivative of -1\/3*r**3 + 0*r + 7\/2*r**2 + 3. Determine b*s(x) - l(x).\nAnswer: x**2 - 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -58*s - 932 - 611 - 1125 for s.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3)*(-2 + 6 + 2)*(3 - 3 + j) - 2*j - 5 + 5.\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2. Let o(s) = -336632*s. Calculate z(o(u)).\nAnswer: -226642206848*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 291.5 - 292. Which is the nearest to 0.02? (a) f (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(6\/(-4))*3. Let y be (6 + g)*(-1)\/(-2). Factor -1\/2*t**y + t - 1\/2.\nAnswer: -(t - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9444 + -9399. Calculate the remainder when 723 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -114882 * -0.4.\nAnswer: 45952.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 95269736 and 47634868?\nAnswer: 95269736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/9 + 100742*a\/9 + 2316008\/9.\nAnswer: 2*(a + 23)*(a + 50348)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/21 + 13\/3. Let a = -77 + 79. Solve 0 = -a*w + u + 3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iifftffctttffht. Give prob of picking 1 c and 2 t.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 3680*x**3\/3 + 4055*x**2\/2 + 4916. Find the second derivative of m(f) wrt f.\nAnswer: 7360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j - 6. Let b be l(6). Suppose 0 = 3*s - 2*r - 1168, -2*r + b = 4. Suppose 10*a - s = 6*a. Is 9 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 5*l - 182 + 197, 0 = s - l - 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -11\/24*t**4 + 0*t + t**3 - 37*t**2 + 0. Let l(x) = -4*x + 2. What is 8*l(f) - 3*r(f)?\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1109482?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 381*s - 209*s - 1376 = 0 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -365684, -365698, -365724, -365768, -365836, -365934, -366068?\nAnswer: -366244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**3 - 2*s + 2*s + (4*s**3 - 37*s + 37*s)*(-8 - 8 + 12))*(0*s + 4*s**2 + 0*s).\nAnswer: -68*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84351 and 48?\nAnswer: 1349616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 330800199*t + 328146896 wrt t?\nAnswer: 330800199","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + (0 - -5)\/1. Suppose -2*i + 2 = -2*z, 0*i - 5*i = r*z - 5. Suppose z = -11*v + 10*v - 6. Let k(y) = -y**3 - 7*y**2 - 5*y + 6. Give k(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45241*b**3 - 8306*b**2?\nAnswer: -271446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 divide 49280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-2)*15\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k**3 - 554*k**2 - 832*k - 1091. What is y(140)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.2974 and -7\/10 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 245425, 981717, 2208871, 3926887, 6135765?\n\"Answer: 245431*g**2 - g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -85, -568, -1775, -4036, -7681?\n\"Answer: -55*c**3 - 32*c**2 - 2*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o = 52*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 l when three letters picked without replacement from iywylccuuylywuu.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*t + 510 = 67*t. Suppose -52455 = -t*d + 46515. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in nineteen quarters of a millennium?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1489 - -672. Let p = -435 - q. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**3 + 16*u**3 + 11*u**3 - 81*u + 39*u + 3*u**2 + 35*u.\nAnswer: 23*u**3 + 3*u**2 - 7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by -28988.\nAnswer: 23\/28988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 221 or 139435\/629?\nAnswer: 221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/20 + 0)*4. Let l be (-6)\/(-8)*1\/(-3). Is l at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(-6\/7)\/o)*o)**(1\/21)\/((o\/(o\/((o\/o**(-1\/85))\/o)))\/o*o*o**(-2\/11)))**(2\/19) assuming o is positive.\nAnswer: o**(32412\/870485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 10 - 54. Let j be y\/(-64) + 17\/4. Suppose 2*s - 9 = 3. Calculate the greatest common factor of j and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**2 + 5*n**2 - 3*n**2 + (3 + 0 - 5)*(-3*n - 3*n + 5*n)*(19*n + 34*n - 10*n) to j*n + c + i*n**2 and give i.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4439.7400276+19.2\nAnswer: 4458.9400276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) + 3 - sqrt(28))**2 + 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -w**3 - 59420*w**2 + 3135*w + 14 wrt w.\nAnswer: -6*w - 118840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.47 - -5.47. Let y = 12 + -3. What is the closest to 1 in x, 3, y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 4*t - 16 = 0, 2*w - 20 = w - 5*t. What is the third derivative of 5*h**2 + 20*h**2 + 19*h**4 + w*h**4 + 3*h**4 wrt h?\nAnswer: 528*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**3 + 509 - 509.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) - -6*-2*sqrt(130))\/(-4*sqrt(40)) + -1 + 2 + sqrt(117) + -4)**2.\nAnswer: -105*sqrt(13)\/4 + 16501\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15711493628\/34227 + -459038. Do q and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001483167068 to 5 dps.\nAnswer: -0.00148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3 + (1 + sqrt(80))*-5*-4)**2.\nAnswer: 2400*sqrt(5) + 32225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -133.49362 - 48.50945. Let h = q - -182. Round h to four dps.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5*k**2 + 11*k + 11. Let t(m) = -3*m**2 - 6*m - 6. Let w(z) = -6*o(z) - 11*t(z). Let y(p) = 3*p**2. Give w(y(h)).\nAnswer: 27*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40340999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18.47 - 21.47. Which is the nearest to 0.1? (a) x (b) 0.4 (c) -1\/6 (d) 7\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -6*b - 10. Let s(g) = 11*g + 20. Let t(m) = 5*c(m) + 3*s(m). Suppose 0 = n + 5*o + 1, -2*o - 31 = -0*n - 3*n. Is t(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62901 is divided by 98?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**5 - 6*m**5 - m**5 + (2*m**2 - 3*m + 3*m)*(-2*m**3 - 4*m + 4*m) + 3*m**5 + 0*m**5 - m**5.\nAnswer: -8*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 330888 and 108.\nAnswer: 2977992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13732781\/5 or 2746557?\nAnswer: 13732781\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003788 rounded to 7 decimal places?\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -473*7\/(-84)*-3. Is -118 <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v. Let k(h) = 54*h**2 - h - 3. Let d(w) = k(w) - 3*m(w). Is d(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -87974*f + 1. Let p be n(-1). Let w = 22433707\/255 - p. Let m = w - -4\/51. Which is bigger: m or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 - -320\/11. What is the common denominator of m and (-50 - (-162254)\/3224)\/((-3)\/(-16))?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 319.22 + 4.78. Let g = 332 - u. Are 2 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 5*p + 115, 3*h + 4 + 47 = 3*p. Which is the second smallest value? (a) h (b) 0 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w - 4*u - 5 + 15, -4*w + u - 11 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10024739533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 648 - 652. What is the tens digit of -2 - (-8 + -1265 + i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 35849 = 2*d, 6*m + 2*d = 3*m + 35845. Suppose -2*c - 132810 = 203292. Let y = m - c. Round y to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3475 = 3*t - 2*r, -t + 1154 = -20*r + 15*r. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8636 + 2306 = -639*h + 6*h for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 155, 603, 1355, 2411?\n\"Answer: 152*k**2 - 8*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-145)\/(-20) - (-3)\/4. Suppose -f + 5*f - a = 0. Let h(o) = -o**3 + o**2 + o - 1. Give h(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -128*j. Let f(i) = 447*i. Let n(z) = 18*d(z) + 5*f(z). Let x(c) = -5*c**2. Calculate x(n(o)).\nAnswer: -23805*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 18*n + 218*n**2 - 14*n + 43*n - 11*n to y + p*n**2 + q*n and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**3 + 19*k**3 + 0*k**3 - 3*k + 27*k.\nAnswer: 23*k**3 + 24*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.03 + -58.27. Let h = t - -64.3000359. What is h rounded to six decimal places?\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 443 by -31800.\nAnswer: -443\/31800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/(-2) - 0)\/(-2) - -18. What are the prime factors of 4\/6 + -28*(-50)\/x?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 347861.\nAnswer: 167, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-1) + 7\/4. Suppose -2*z - 2 = 0, 3*y + 188 - 505 = -z. Let o = y + -102. Which is the third smallest value? (a) 2\/9 (b) o (c) 0.5 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42550, 68010, 110444, 169852, 246234?\nAnswer: 339590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 3 + 2)*(2*y - 2*y + y) + 2 - y - 2)*(107*y + 1 - 122*y + 59*y) to i*y + q + f*y**2 and give f.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(2\/5)\/q)**(-46))**(3\/8))**18 assuming q is positive.\nAnswer: q**(1863\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2525815654 to 2 decimal places.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 16464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-19)\/(-4) + -5)\/(4\/(-144)). Calculate the highest common factor of 1089 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18910.\nAnswer: 2, 5, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**3 - 4*w**2 - 2*w + 12. Let y be z(4). Let m(s) = 7 + 45*s**2 - y*s**2 - 3*s + 31*s**2. What is the units digit of m(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -25, -29, -33, -37, -41?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -881*s**3 - 25633*s.\nAnswer: -5286*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 a when three letters picked without replacement from {m: 9, a: 3}.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*b - 24 + 29 = 0, -2*i - 17 = 3*b. What is the nearest to 1 in -1, i, 91?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1550 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -157, 0.9, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -11266.669 rounded to the nearest 100?\nAnswer: -11300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 1220 = h - 0*s - 1242, -3*s = -4*h - 7 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54 (base 14) to base 10.\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p*p**(1\/6))*p*p**9*(p\/(p**(3\/11)\/p*p))\/p**(2\/13) assuming p is positive.\nAnswer: p**(8929\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 30004 = 13*j. Let r = j + 3375. List the prime factors of r.\nAnswer: 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, x: 1, n: 1, l: 1, g: 1}. What is prob of picking 1 n, 1 l, 1 u, and 1 x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27284 + 27284 + 4757*k.\nAnswer: 4757*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 8. Suppose 3*g + 22 = 4*w - 2*g, 26 = 4*w - 3*g. List the prime factors of f*w + (4 - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kt when two letters picked without replacement from {k: 4, z: 1, r: 1, w: 1, e: 1, t: 4}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 9*p - 9. Let v be (-129)\/(-9) + 44\/66. Suppose -90*t + v = -93*t. Let q(n) = -2*n**2 - 22*n + 22. Give t*q(m) - 12*h(m).\nAnswer: -2*m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 114*u**3\/17 - 1480*u**2\/17 - 26*u\/17.\nAnswer: 2*u*(u - 13)*(57*u + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 + 121 - 21*a**2 + 25*a**2 - 3*a**2 + 2*a to w + r*a**2 + j*a and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1220, -2237, -3242, -4229, -5192, -6125, -7022, -7877?\nAnswer: -8684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 7 + (1 - -3) + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 8:44 PM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**3 + 89880*m**2 - 3947312*m + 7535136 = 0. Calculate m.\nAnswer: 2, 42, 22426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -184 * 336.\nAnswer: -61824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 181\/12 + -55\/4. What is the closest to -2 in y, -0.07, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -517*b**2*m**3*p + 208*b**2*m**3 + 218*b**2*m**2*p + 181*b*m**2*p wrt m?\nAnswer: -3102*b**2*p + 1248*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 220311 - -1033032?\nAnswer: 1320003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 79*j**2 - 101*j + 1108. Calculate s(78).\nAnswer: -686","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/(-20)*530\/(-260) and 43\/52.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 22. Suppose 0 = 2*c + 10 + s. Is 2\/6 + (-537)\/c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -494024 - -946293. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/74898 and -17\/80811?\nAnswer: 3070818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15645 and 1102465?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 6\/8 - (-174)\/(-264). What is the nearest to 0 in 0.2, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4705434 is divided by 83.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3993?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 917.05 - 917. Sort h, -4, -3, 0.6 in descending order.\nAnswer: 0.6, h, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5763\/355 + 26\/71. Let z = h + -15. Let -z*n - 4\/5*n**2 - 4\/5 = 0. What is n?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1414 - 1390. What is the highest common factor of 48 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 4, 5, -7, 135 in decreasing order.\nAnswer: 135, 5, 4, 2, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 68 + -3469.\nAnswer: -3401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13122034 is divided by 261.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 982026841 to the power of 1\/2, to the nearest integer?\nAnswer: 31337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 240633*r**2 - 240638*r**2 + 2367*r + 1443*r - 725805 = 0.\nAnswer: 381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**4 - n + n)*(-n + 2 - 2) + 5*n**5 + 3*n**5 - 4*n**5 - 42*n**5 + 18*n**5 - 48*n**5.\nAnswer: -69*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 9368*i**2 - 53987772*i - 69156 = 0.\nAnswer: -3\/2342, 5763","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 51079.07s in nanoseconds?\nAnswer: 51079070000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0059034 to 4 decimal places.\nAnswer: 0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 0 (b) 0.0391 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108, -390, -830, -1428, -2184, -3098, -4170?\nAnswer: -5400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w - 6*w - 5*w**2)*(2*w**3 - 2*w**2 + 2*w**2).\nAnswer: -10*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14018*p + 15982*p - 7370*p.\nAnswer: 22630*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 8*h + 10. Let f(r) = r**3 - 2*r**2 - 2*r - 1. Let y(m) = -m**2 - m - 1. Determine h*f(d) - 2*y(d).\nAnswer: d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 - -5)\/(0 - 3). Suppose 3*p = q + 49 + 11, 2*q - 2*p + 140 = x. Let s = -73 - q. Solve 4*l = 2*b - 4, -s*l + b = l + 2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -56.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5 = -2*t, 3*y - 3*t - 15 = 0. Suppose -10*v = -9*v + 4*g - 70, -v + 2*g + 70 = y. What are the prime factors of v?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-1 - (2 + -6 - 1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2887*x + 670*x - 1 + 11.\nAnswer: -2217*x + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 6:35 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**3 - 22*r**2 - 37*r + 60 = 0.\nAnswer: -20, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -18181*s - 838. Is f(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (0 + 4 - (-9 - -4))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + 4*w**2 - 4*w**2)*(3 - 3 + w) + (2*w**3 - 4*w**3 + 4*w**3)*(-3 + 6 + 81) + 2*w**3 + 3*w - 3*w.\nAnswer: 171*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 3\/38 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 373 - -3?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p. Suppose 2*s = -2*s + 4. Let j be a(s). Let c = 94 - 94. Put c, -5, j in decreasing order.\nAnswer: c, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1157\/11 + -105. Let c = -111\/550 + v. Let y = -23\/100 + c. What is the nearest to y in -2, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 479356 (base 11) to base 16\nAnswer: b9536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*h - 807 - 314 = 0, -2*o = -h - 1111. What is the hundreds digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207 = -5*h + 4*k, -16 = -4*h - 4*k + 164. Is h greater than or equal to 621\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 165 + -113. Let c = n + -4. What is the greatest common divisor of c and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30630221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49950*p - 49963*p + 292331 = 0. What are the prime factors of p?\nAnswer: 113, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8 - 0)*(13 + -14). Let a be 2\/i - 187\/(-44). Suppose 0 = 3*r - a*g - 13, 2*r = 4*g + g + 11. Solve -5*w + r*w = 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22846 or 22850?\nAnswer: 22846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 - 1 - 2 + 4 + 0 + (2 - 4 + 4)*(2 + 2 - 2) + 1 - 1 - 1)*(-2 + 0 - 2)*(4*r + 0*r - 3*r) to the form k*r + z and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18577, -74256, -167045, -296938, -463929?\nAnswer: -668012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 + -26. Calculate the smallest common multiple of g and ((-50)\/(-225))\/((-5)\/(-135)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 40*y + 102 wrt y?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - (-1)\/2) + 6929\/26. Suppose 269*l - j*l = 177600. Round l to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3 = 5, 2*a = 3*x - 2. Let d(c) = -2*c + 9. Give d(a).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/4))**45*w\/w**(-1\/2)*w*w\/w**(2\/9)*w)**(-22) assuming w is positive.\nAnswer: w**(-6149\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -79a931 (base 16) in base 6?\nAnswer: -442520453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 686690957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*3*(sqrt(1300)*-1)\/(sqrt(256)*-2)*-2.\nAnswer: -15*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**4 + 60*q**3 + 232*q**2 + 336*q + 160.\nAnswer: 4*(q + 1)*(q + 2)**2*(q + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7052 - 7045. Suppose 4*w + 3*k + 8 = 0, -k = 5*w + 3*k + 11. Let u(x) = r*x + 7*x + w - 20*x. Determine u(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8586677?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.1 + -3. Let v be 20\/(-70) + (-3)\/63. Which is the closest to n? (a) 1 (b) 2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b - 20 = 25*b. Find the common denominator of (-3)\/16*(-284)\/(-18) and 22953\/5544 + b\/22.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1333529 is divided by 125.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.59571 and -7.37261.\nAnswer: -7.96832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 + -3 - -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77 - 120 + 6 + 2*h.\nAnswer: 2*h - 191","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**5 - 2 + 2 + (-x**3 - 2 + 2)*(3*x**2 + 3*x**2 - x**2).\nAnswer: -6*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 74 - 39. Let p = 61 - g. Let j = p + -27. Which is the fourth smallest value? (a) 4 (b) j (c) -2\/17 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 1 (b) -75 (c) 30 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 6:46 AM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 119392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of 1\/12*c**4 + 0 + 2*c**2 - 5\/6*c**3 + 12*c. What is w(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.3 - 11.5. What is the closest to 0.3 in 0.2, k, -0.03?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2 + (sqrt(1152) + 0 - sqrt(1152)) + 1 + (sqrt(72)*1*-6 + 0)**2.\nAnswer: 2590","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40092 = 15*p - 14778. What are the prime factors of p?\nAnswer: 2, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-270)\/20 + 12)\/(6\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 26, 68, 128, 206?\nAnswer: 302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(156)*-4)\/(sqrt(60)\/(3*sqrt(5))) + (((sqrt(1300) + 1)*4 - 6*(sqrt(1300) + 1 + sqrt(1300))) + 2)**2.\nAnswer: 36*sqrt(13) + 83200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -0.8?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.91 - -0.09. Let o(x) = -346*x + 1729. Let d be o(5). Sort y, d, -2\/7.\nAnswer: d, -2\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2975 and -1682.\nAnswer: -4657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r - 4*r + 5*r)*(-1349 + 43 + 2) in the form l + a*r and give a.\nAnswer: -1304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 1.9. Let m = 14 - 13. Let s = d - m. Which is the nearest to s? (a) 1\/4 (b) -0.3 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 7*y**5 - 8*y + 18. What is the first derivative of v(l) wrt l?\nAnswer: 140*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - -2)\/(-1) + -13. Let w = b + 18. Let u be 4\/(-12) + w\/3 + 3. Solve 2*v = v - u for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/7)*q)\/(q\/q**(2\/5))*q**(-1\/2)\/q**(2\/5) assuming q is positive.\nAnswer: q**(-3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1))**(4\/17)\/(p**(-1\/5))**(-20\/3) assuming p is positive.\nAnswer: p**(-80\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (10 - -1) + 18?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1091 divide 14573597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q = -16*q + 115. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-90)\/15*1*-12*(-5)\/40?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of c**7\/105 + c**6\/360 + c**5\/60 + c**4\/24 - 2*c**3\/3 - c. Let x(v) be the second derivative of z(v). Give x(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 981123228.\nAnswer: 2, 3, 37, 431, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 166598 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.9 + -0.5. Let v be (1*(-6)\/15)\/(32\/(-100)). What is the third smallest value in z, v, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 9*f + 134. Let u be c(-15). Let k(t) = 13*t**2 + 1. Calculate k(u).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 37*t**2 + 5. Let u(a) = a - 14. Calculate f(u(z)).\nAnswer: 37*z**2 - 1036*z + 7257","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 - -110010111011111110101?\nAnswer: 110010111011111101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -81*a - 155 + 41 - 95*a - 41. Is d(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 5 + (0 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 67977751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10621765 divided by -3619\nAnswer: 2935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-18))\/(2*(-1)\/(-2))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 108 + -64. Suppose 0 = 12*j - j - l. Solve -j*a = -4*k + 12, -3*a + 12 = k + 3*k for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -134451025 - -12?\nAnswer: -134451013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 44*f**3 + 26*f**2 - 11*f + 11. Let i(x) = 15*x**3 + 9*x**2 - 4*x + 4. Let d(z) = 11*i(z) - 4*t(z). Find the third derivative of d(m) wrt m.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 60*y - 416. Let c be q(36). Solve 6*o + 454 - c = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 729\/(-216) - (-6)\/16?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 876*d + 12899. Determine z(-15).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4006604341 to two dps.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -186 - -199.9. Let z = v + -14. Let x = 0.1 - 0.3. Which is the nearest to x? (a) z (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2171562 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10156414.\nAnswer: 2, 5078207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3541\/2 - 1734. Suppose 37 = g - 1. Let d = g - x. What is the closest to -2\/5 in d, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 23*g**2 + 317*g - 55. Let h be w(-14). Let l(y) = y + 180. Let r be l(0). Calculate the highest common divisor of h and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*b = -12138 + 10227 for b.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, f: 2, w: 1}. What is prob of sequence fccf?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 188 divided by -47\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -9 + 7 + (-1 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 8:43 AM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.9466 to 1 dp.\nAnswer: 7.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rddd when four letters picked without replacement from {d: 15, r: 4}?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -14, -25, 3.1, -1\/76, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -0 + 2. Solve 15 = 3*a + 4*n, 8 = g*a + 3*a + n for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*a + 56*a - 20 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -16.5995.\nAnswer: 49.7985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 24522.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/1718125 and 51\/5000.\nAnswer: 13745000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32248 or 32249?\nAnswer: 32248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 7895 + 10834 = 0. List the prime factors of o.\nAnswer: 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -10*v + 550. Let l be p(55). Suppose 4*i = 3*n + 28, 4*n - 3*i + 23 = -12. Which is the nearest to -0.1? (a) l (b) n (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/27477 and -149\/3096?\nAnswer: 219816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22\/9 - -97\/36. Let l = -814.176 - -815. Let i = l + -1.324. What is the second biggest value in i, d, 2\/11, -1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 + -26 + 9 + -75 + 1 + 8?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 121221222102?\nAnswer: -121221222112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -463188568 rounded to the nearest one million?\nAnswer: -463000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + o - o = 0. Let t(q) be the second derivative of 0 + 2*q + 1\/6*q**3 + o*q**2. Let x(y) = 7*y**2. Give x(t(w)).\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 0) + (-3 - -2). Suppose -2*w = 0, -6 = 5*g + 5*w - 21. Suppose b = -g*x + 4*v + 6, 3*x - 5*v = -0*v + 6. Which is bigger: 3 or x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 31. Suppose -557*h + 573*h = 80. Put l, h, 3 in increasing order.\nAnswer: l, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -34, -61, -94, -133, -178?\nAnswer: -229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 5092 to the nearest 100.\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cdclcddcldlllcdlddll. Give prob of sequence llcl.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -69436, -138871, -208306, -277741?\n\"Answer: -69435*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*43.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00191154 to four dps.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/3 (b) -0.07 (c) -0.087\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 7*g + 7. Let m(y) = -2*y + 5. Let q be m(6). Let p(s) = -2*s + 2. Let t(b) = q*p(b) + 2*c(b). Let h(l) = 2*l + l - 4*l. Give t(h(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4624\/549 - -141\/61. Let a = 4 - -1. Find the common denominator of ((-4)\/(-8))\/(a\/29) and g.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48 - -65 - 18) + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 2:53 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 3*b + 18, 0 = 2*k - 3*k - 3*b + 9. Let q(l) = 8*l**2 + 2*l. Let j(v) = -9*v**2 - 3*v. What is k*j(d) - 4*q(d)?\nAnswer: -5*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3 + (-309)\/(-24))\/(-2) and -31\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**2\/8 - 35715*o\/8 + 250201\/2 = 0.\nAnswer: -35743, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -62 - -61. Do 17 and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 8804.919g?\nAnswer: 8.804919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 68\/(-10) + 10\/6*(-216)\/(-60). What is the second smallest value in 1337, k, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47808 and 216.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/15516 and -23\/14?\nAnswer: 108612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - z - 4*z + 2 + 4*z. Suppose 0 = -m - 4*m + 2*a, -4*m + 2*a - 2 = 0. Determine u(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f**3 + 20*f**2 + 4*f + 4. Calculate b(7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1918*m**4 - 4*m**3 - 6*m**2 + 4856035?\nAnswer: -7672*m**3 - 12*m**2 - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 3*z - 148, -943*z + 950*z + 6*t - 342 = 0 for z.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 1342.\nAnswer: -7\/1342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 8:25 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000012576 rounded to 7 decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - (-15)\/(-3)) + 25. Suppose 3*n + 2 + 2 = 4*i, 0 = n + 5*i - x. Suppose 2*o + 4*u = 3 + 3, -5*o = -u - n. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 + 12756*y - 13559628.\nAnswer: -3*(y - 2126)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f - 7. Let r(d) = 2*d - 14. Suppose 0 = x - 3*x - 10. Let c(m) = x*p(m) + 2*r(m). Does 3 divide c(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2 + 9*s - 4. Let v be c(3). Suppose -w - 242 = -v*q, -q + 5*w = 2*w - 54. What is the least common multiple of 16 and q?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1107 times 90\nAnswer: 99630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -33 (b) 1\/5 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 89 + 111 = 0. Let g be (1\/2 + 0)*-4. What is the remainder when q is divided by 35\/7 - g\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/4 - (-5)\/2. Suppose 0 = m*v - 3*l + 17, -2*v + v - 26 = -5*l. Is v > 2\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 times 56.1\nAnswer: 336.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 76, 112, 154, 202, 256, 316?\nAnswer: 382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.3 (b) 5 (c) -1\/11 (d) 4 (e) -0.1108\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v - 13533. Let w(b) = -165*b**2 + b. Calculate z(w(k)).\nAnswer: 165*k**2 - k - 13533","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-1*sqrt(192)*4)\/((sqrt(256) + (sqrt(256) - -4*sqrt(256)*-5) - sqrt(256)) + sqrt(256)))**2 + -2.\nAnswer: -53\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/6 + 1)*12\/8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-14)\/(-98) - (700672\/(-49))\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(1 - (-1 - 8)). Let t(h) = h**3 - 10*h**2 - 4*h + 8. Let g be t(s). Let k = g + 33. What is the third smallest value in 0, 0.4, 4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 2*a - 105. Let l be (-26)\/4 - 1\/2. Let x = l - a. Does 7 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 8*u = 40. Solve -u*j = 24 - 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 10011110111000?\nAnswer: 10011110110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1*-6 - 0 - (40\/(-1340) - 13416\/(-536))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 16975*z = -16971*z + 36, z = 5*g + 9 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -3*x**2\/7 + 690*x\/7 - 576 = 0.\nAnswer: 6, 224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 53*n**2 - 296*n + 25. What is y(-7)?\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6*(-4 + 4 - (-1)\/2). Suppose -32 + 12 = 10*t. Let h be (t\/w)\/(3\/((-360)\/(-16))). What is the biggest value in h, 10, 1\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*v + 30*v - 34*v - 36*v - 6 - 32*v - 38*v.\nAnswer: -3*v - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*f = -11*f + 19*f. Solve f = r - 2 + 4, 3*r + 6 = -5*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/14*(-19 + 1102\/57).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(76) + -2)**2 + 3 + 1*sqrt(76).\nAnswer: -6*sqrt(19) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p - 9*p + p.\nAnswer: -16*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*b + 1022 = -782. Calculate the remainder when 74 is divided by b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b - 17. Let r be y(7). Suppose -2*c + c - 3*q = 17, -r*c = -5*q + 68. Let g = c - -20. Solve -3*v - 18 = 3*t, -g*t - 1 - 13 = 2*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 0)*(11 - 22 + 4)*(-2 + 1 + 4)*(i - 2*i + 2*i) + i - i - 4*i to c + n*i and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3328926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**2 - 7*x + 8 = 0. Calculate x.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*u - 2*u + 0*u)*(4 - 2 - 1) + u - u + u + (0 + 0 - 1)*(-4 + 4 - 7*u) as d + t*u and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10044 is divided by 1291.\nAnswer: 1007","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4142777?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 9:12 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 3400?\nAnswer: -3401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23161 + 23172. Which is the closest to -3\/4? (a) v (b) -5 (c) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-134 + 89 - 0) + 5 + 1.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 2:28 PM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -1\/1050*s**7 + 0*s**3 - 8*s**2 + 4 + 1\/100*s**5 + 0*s**6 + 0*s - 1\/60*s**4. Factor p(o).\nAnswer: -o*(o - 1)**2*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - (4 - 0)) + 2. Suppose z = 5*j - 0*z + f, 0 = -4*j - 4*z + 4. Let k = 14 + -13. Sort j, 2, k in decreasing order.\nAnswer: 2, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = 9*l - 20*l. Is 6 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/5)\/(5472\/6384).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43203 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w + 0 + 3 - 5 - 1. Let u be f(-3). Is ((-40)\/12)\/(u\/(-171)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/28 - (-25)\/(-4). Let a = o - -8. Suppose d = 3*u - 6, 2*d + 2 + 4 = 3*u. Solve 2*v + a*v - 20 = d for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-188)\/48 - -4). Suppose 3*f = -0*f - d. Let i be -1 + f*10\/(-8). Solve 2*h = -0*h + i for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-3)*(-21)\/(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2457.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1775270 (base 8) in base 7?\nAnswer: 4305411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 + 403 = 238*d. Let v(z) = 1. Let q(h) = 3*h - 11. Give d*q(k) + 3*v(k).\nAnswer: 3*k - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97071*t**2 - 97071*t**2 + 0*t**3 - 3*t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.1 and -3523891104.\nAnswer: -3523891102.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -100659339 divided by -4376493?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2)*a\/a**(-6))**36 assuming a is positive.\nAnswer: a**180","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 1163 = 4*x, 3*g = -5*x + 754 + 705. Let s = -2614\/9 + x. Which is smaller: s or 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*n + 356*n - 2380 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 34*p - 2. Let c be r(3). What is the units digit of c\/15 + (-2)\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 12 + 8 = 0. Suppose 2*p = 5*t + 35, -40 = 5*p + 2*t - 171. Suppose 2*d + 3*d = p. Calculate the smallest common multiple of y and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -12*n**2. Let w(y) = -2*y**2 + 52*y. What is w(c(j))?\nAnswer: -288*j**4 - 624*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((1*62)\/2)\/((-5155)\/(-5155))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - -24) + -215 + 176 + (-76 - (-1 - 1))?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(88\/20 + -4). Let l = -9 + 6. Let q = 3 + l. Solve q*n - d*n = -20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 86536 and 2160416.\nAnswer: 62652064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*x**5 - 9742640*x**3 + 189*x**2 + 283157*x?\nAnswer: 300*x**2 - 58455840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - -20.63.\nAnswer: 21.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) 0 (c) -4 (d) -0.03 (e) -0.2 (f) 0.16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cededw. Give prob of picking 1 e and 1 w.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-268)\/(-52) + -5 + (-102)\/(-13). Suppose w*h - 5397 = -941. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m*m**(-8))**(-2\/79)\/(m*m\/(((m*m*m**(1\/35))\/m)\/m)*m**23) assuming m is positive.\nAnswer: m**(-68696\/2765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 172 = 278. Suppose 2*j - y = 50. Is j a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52 - 52. Suppose 5*v + 6 - 1 = i. Let c(z) = -111*z**3 + z**2 + z - 1. What are the prime factors of c(v)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1109 (b) 330 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3896*f - 918 = 3998*f for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11786 (base 12) to base 14.\nAnswer: 883c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -633*a + 5. Let j(d) = -651*d + 4. Determine -4*j(y) + 3*r(y).\nAnswer: 705*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-640)\/192)\/(4\/(-18)*6).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 greater than 3.12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1570 is divided by 121?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4721669520.\nAnswer: 2, 3, 5, 31, 773, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-6*(3 + (sqrt(162) + -2*sqrt(162) + -1 + sqrt(162) - sqrt(162)) + (sqrt(162) - (sqrt(162) - (2 + sqrt(162) + sqrt(162))*-3)) + 5))**2.\nAnswer: -4536*sqrt(2) + 285805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*a + 180, 4*u + 137 = -a + 2*a. Let d be (-216)\/22 - (-6)\/u. Let z = d + 20. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 567058272.\nAnswer: 2, 3, 11, 48817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 39. Let h = s - 11. Suppose -3*a + 39 = 3*j - 9, h*a + 2*j - 68 = 0. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-104)\/(-78))\/(2\/(-3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 256 divide 1605032448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 35?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a day in seconds?\nAnswer: 77760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**2 + 0*y**3 + 14719 - 7367 - 7359 - 3*y**2 + 6*y**3 to i*y + z*y**2 + d + j*y**3 and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 140*p**2 - 240*p + 928. Is 48 a factor of u(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -11, -9, 13 in increasing order.\nAnswer: -11, -9, -5, -4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-50))\/((-1215)\/2430)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -892*a + 4800 - 12653 - 13451 + 1680 = 0 for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 - 0. Let h = -0.227 - 2.773. Which is the closest to n? (a) 1 (b) -0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5114224 - -23?\nAnswer: -5114201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) 1 (b) -0.2 (c) 4.2 (d) -44\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/4*(7 - (-125)\/(-15)). What is the second derivative of -8*r + 3*r + 43*r**2 + h*r - 2 + 8*r wrt r?\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, -2\/15, -2, 1733 in ascending order.\nAnswer: -2, -0.7, -2\/15, 1733","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2. Let o(v) = 223*v. Give l(o(u)).\nAnswer: -49729*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -1. Let k = 5.6 - 5.6. Sort k, -1\/3, z in increasing order.\nAnswer: z, -1\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51095521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 + (-34 - -19) + (5 - 44\/4).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(-2)\/(-4) - (11 + -17 - -3). Let n be 1*(1*-1)\/(-1). Is y smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9 + 12)*(-10)\/(-6). Put k, 0, -1 in ascending order.\nAnswer: -1, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**39\/(i\/(i\/(i*(i*i**28*i)\/i*i*i)))*(i\/(i\/i**(-2\/17)))**(-16) assuming i is positive.\nAnswer: i**(151\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, b: 2}. Give prob of sequence bb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 221*d**2 - 34*d - 444*d**2 + 240*d**2 as k*d**2 + z*d + p and give k.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 51\/(-18) + 3. Let s(r) be the second derivative of 4\/3*r**2 + 3*r - n*r**4 + 0 + 1\/45*r**6 + 4\/9*r**3 - 1\/15*r**5. Suppose s(o) = 0. What is o?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -25, 6, 55, 128?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 53 and 0.5?\nAnswer: 26.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*h = -6, 4*z - 47 - 1 = 5*h. Suppose 4*i = z*i + 30900000. What is i rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 283*i - 285*i = -67, 2*s = -5*i - 50 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7426440 and 195?\nAnswer: 96543720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 9*j - 6*j + 30, 3*y = 2*j + 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 195*c*k**2*s**3 + 678*k**2*s**2 - 2*s**3 wrt c.\nAnswer: 195*k**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 2*f**2 + 2*f + 10. What is t(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) + 1*sqrt(425) - sqrt(153)*-6)**2.\nAnswer: 13328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190*q + 192*q - 148 = 0. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*c + c + 14 = 0, i - 4*c - 39 = 0. Does 2 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 9*z. Let u(o) be the second derivative of 0*o**3 - 3*o + 0*o**2 + 7 + 1\/6*o**4. What is u(d(f))?\nAnswer: 162*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -16*u**2. Let r(i) = -18*i + 16. Let a = -191 - -143. Let y(d) = d - 1. Let t(b) = a*y(b) - 3*r(b). Determine t(p(g)).\nAnswer: -96*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of 0*i + 17\/60*i**5 - 18*i**2 + 0 + 13\/6*i**3 + 3\/8*i**4. Let a(r) = -4*r**2 - 2*r - 3. What is 9*a(t) + 2*z(t)?\nAnswer: -2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 24*c + 44. Let v be q(2). Suppose m - 20*s + 17*s - 41 = 0, 2*m - 4*s - 74 = v. Calculate the remainder when m is divided by -1 - (-32)\/(2*1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7935600 to the nearest one hundred thousand.\nAnswer: -7900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1885 a factor of 78257660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 48955\/236 or 206?\nAnswer: 48955\/236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -4450616?\nAnswer: 4450620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/2 of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 154372 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -612*a + 620*a - 8352 = 0. Is a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6\/47 - -845\/376. Suppose -3*f = 1258 + 953. What is the common denominator of b and f\/(-36) - (-20)\/(-90)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -854 + 5067?\nAnswer: 4113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 + ((-100)\/35 - 3). Which is the fourth smallest value? (a) s (b) -5 (c) 2 (d) 1\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135355476 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 660 * -1.53.\nAnswer: -1009.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1471 - 1471. Let r = -10.17 - -0.17. Which is the nearest to u? (a) -4 (b) -0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 14.635. What is o rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 - -17. Let n = 22 + h. Let t(u) = -u**3 + 5*u**2 + 3*u - 7. Is 4 a factor of t(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -27, -1\/18, -3\/4?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17627, 35729, 53823, 71903, 89963?\nAnswer: 107997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.062 * 137\nAnswer: -8.494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 672.19um in meters?\nAnswer: 0.00067219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 119*m - 18. Let k(w) be the third derivative of 59*w**4\/12 - 17*w**3\/6 + 41*w**2. Let r(a) = -5*d(a) + 6*k(a). Is 19 a factor of r(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 1596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 339227 and 4347?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 3:07 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bmeuwpwumwwpemp. What is prob of sequence ew?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80602, -80604, -80606, -80608, -80610?\nAnswer: -80612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24999, 3, 33 in decreasing order.\nAnswer: 24999, 33, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -l**4 - 47916*l**2 - 110034 wrt l?\nAnswer: -4*l**3 - 95832*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1039059083.\nAnswer: 1039059083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 4. Let h = 32 - 25.2. Let t = 5.8 - h. What is the nearest to u in 3, -5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10192)\/441)\/(-26)*(-225)\/(-5).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5\/10*(0*(-1)\/(-3))\/1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3972, 15935, 35876, 63795, 99692, 143567, 195420?\nAnswer: 255251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, 34, 1, 0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g = -0 - 28 + 226. Calculate the remainder when 127 is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.09 + 1.79. Let k = y + -1.727. What is k rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9.08 - -9. Let z = 0.02 - c. Let b = 97 - 108. What is the second biggest value in 2\/13, z, b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5560 and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.6029 + 31.\nAnswer: 32.6029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 22110213202 (base 4) to base 15\nAnswer: 386b2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(110)\/(-1*sqrt(640) + sqrt(10)).\nAnswer: sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 169.\nAnswer: -3\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (18 - -1 - (0 - (-2 - 2)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-14) + 1600\/350. What is the second derivative of -3 + o**4 - 7*o - 7*o**5 + 448*o**2 - 23*o - 448*o**2 + 77*o**a wrt o?\nAnswer: 1400*o**3 + 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 529 is divided by 212?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 271 divide 248147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 7*t**2 - 61*t + 656. Let b be y(20). Calculate the greatest common factor of 12 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11048859.\nAnswer: 3, 409217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6410, 51379, 173454, 411191, 803146?\nAnswer: 1387875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3*sqrt(110)\/sqrt(2) - sqrt(440)\/sqrt(128))\/(sqrt(45)\/sqrt(36) - sqrt(15)\/sqrt(3)*2).\nAnswer: 4 + 13*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 9:06 AM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*t + 7*y - 3*y, 5*y + 19 = 4*t. Let u(k) = -18*k + 1. Let z be u(0). Suppose 5*i + 2 = -3*w, -z = 43*w - 46*w - 2*i. Solve -2*n = -t - w for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.29 in 1, -0.2, -93?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 629 - 626. Solve 0 = i*o - 10 - 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 h, and 1 e when three letters picked without replacement from gehhgssskg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/3*(-18)\/12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 27*y - 28*y - 1 - 4. Determine g(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 73 and 77 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48 + -33. Suppose 0*k = k + p. Let t = k - -39. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 <= 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = -15*t + 1685*x - 1684*x, -t - 8 = 5*x - 46 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -11*m - 1. Let r be b(1). Let f = r - -68. Round f to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1023033 - 1476585.\nAnswer: -2499618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 25 = 4*y - 5, -y + 15 = 3*k for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tgtgtggtgtgt. Give prob of picking 2 g.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 415 = 6*z. What is the remainder when z is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - -320163.\nAnswer: 320163.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**2)*o)**(1\/30)*o**(-1\/8)*o*o**(-2))\/(o**13*o*o**(-1\/8))**7 assuming o is positive.\nAnswer: o**(-5897\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 5*m**4 - 2795*m**3 + 400260*m**2 - 2699280*m + 4570560 = 0.\nAnswer: 3, 4, 276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1332\/4115?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61 + -4. Suppose 4*r + t = -7. List the prime factors of 1\/(1 - r\/(-18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15330 - 15333. Let f = 77 - 233\/3. Which is the nearest to -1? (a) t (b) f (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -1444*d**3 + 8*d**2 + 7*d - 17. Let u be r(1). Is u bigger than -1449?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -19*j**2 - j. Let z be u(1). Let r = -18 - z. Suppose 5 = -5*k, -r*o + 43 = -7*o - 3*k. Let v(y) = -y**3 - 9*y**2 - 8*y - 1. Determine v(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/17512 and 1\/110.\nAnswer: 87560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2355, -10182, -23227, -41490, -64971, -93670, -127587?\nAnswer: -166722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((756\/27)\/(-28))\/(5\/(-5))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -105 - 22. Let u = c + 133. Let x = 25.7 + -26. What is the nearest to 1 in u, -5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 307, 320, 367, 466, 635, 892?\n\"Answer: 3*x**3 - x**2 - 5*x + 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {g: 7, v: 3, a: 4, e: 2, w: 2}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 13089 divided by -4363\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j + 42. Let m be l(7). Determine f, given that -16*f**2 - m - 12*f + 68*f + 20*f - 4*f**3 = 0.\nAnswer: -7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m. Let o(h) = 435*h**2. Determine g(o(t)).\nAnswer: 870*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/220 and -64\/55.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away 487?\nAnswer: -486.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.1285+40396352.844\nAnswer: 40396352.9725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -575 + 650.2. Let i = -88 - -156. Let s = i - t. What is s rounded to zero decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/65 and -83\/1456.\nAnswer: 7280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -j**5\/20 + j**4\/12 + j**3\/2 - j**2 - 2*j. Let g(n) = -n**2 - 5*n - 2. Let s be g(-4). Let o be i(s). Is o < 3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2032 + 11?\nAnswer: -2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 134 - 74. Let u be (11\/(-11))\/((-3)\/v). Solve -15*q + 5 = -u*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 5*t + 4. Let p = 18 - 22. Let x be i(p). Let q = -13 - x. What is the greatest common divisor of q and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3767446.\nAnswer: 2, 23, 81901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/((-1)\/((-42)\/3)). Suppose 4*r - 3*a - 31 = 0, 5*a - 17 = -3*r + u. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = s - 9. Calculate the least common multiple of 2 and (-4 + s)*-3*3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 478422, 476881, 475340, 473799, 472258, 470717?\nAnswer: 469176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((16 - 8) + (-4 - (2 - 6)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*a - 9 = 21*a + 19. What is the highest common divisor of 14791 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 456549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 17, -172, -4.281?\nAnswer: -172","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + 3)*(5\/(50\/48) + 5). Solve 8*o - p = -1 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k - 12*k - 355 = 0. Calculate the remainder when k is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 601661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6338868752 to the power of 1\/6, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*d + 6. Suppose -4*o - d = -29. Suppose -5*x = -2*h - 242, -o*x + 234 = 2*h - 6*h. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/r**(-4\/7))*r)\/r)**(-1\/9)*r**(-3\/13)\/r**(-22) assuming r is positive.\nAnswer: r**(17881\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -205 in 3, -1\/30, -1\/10, -0.4, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32 - s**5 + 63 - 65 + (0*s + 0*s - 2*s**3)*(-2*s**2 + s**2 - s**2) + (2*s + 2*s**2 - 2*s)*(-3*s**2 - 1 + 1)*(-3*s - s + 0*s).\nAnswer: 27*s**5 + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*z - 250*z + 743*z - 40 = 241*z, -2*z = 4*g - 32 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 769*j + 38. Let k be c(6). Let v be k\/3*(12\/91)\/(-3). Let n = -909\/13 - v. Find the common denominator of n and -21\/2.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -20, -20, -26, -44, -80?\n\"Answer: -b**3 + 3*b**2 - 2*b - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2. Let h(a) = 37*a**2 - 20*a**2 + 2*a**2. What is z(h(t))?\nAnswer: -361*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-102)\/(-68)*(23 + -71)\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*m - 13 + 13)*(-4*m**2 + 4*m**2 - 2*m**2) - 2*m**3 - 8*m**3 + m**3 as c*m + h*m**2 + p*m**3 + w and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12106*t**4 + 22508*t**2?\nAnswer: 290544*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*t = -25*t - 52. Suppose t = 3*g - 233. What is the tens digit of g\/2 + (-6)\/(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 4 + 20 - n + 11 in the form m + x*n and give m.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k - k + 4*k + k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o - 5. Let c = -3 - -3. Let y be v(c). Let g = y + 10. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 6 = -3*b - 5*g, 0 = -10*b + b - 19271*g + 19269*g + 39 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifteen quarters of a tonne?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 131 - -80. Suppose -d = -2*d + j. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 148\/2 - (3 - 4). Suppose -3*d = 2*d - 4*z - x, d - 15 = -4*z. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329953*v - 329936*v + 204 = 0 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 62005898.4 to the nearest one thousand.\nAnswer: 62006000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-16)\/12*(270\/4)\/(-3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 - (-3 + (0 - -3) - 5 - (-1184 + 1175)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, u: 1, y: 2, g: 3}. What is prob of sequence gu?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -693, -1407, -2135, -2883, -3657, -4463?\nAnswer: -5307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 + 141*g**2 + 1425*g - 5625.\nAnswer: 3*(g - 3)*(g + 25)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8424740659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l - 6*l + 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 101875 - 27884. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.4, 1\/3, 0.1, -10008, 3 in descending order.\nAnswer: 3, 1\/3, 0.1, 0, -0.4, -10008","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o - 36*o + 45 = 405 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10042 (base 5) to base 7.\nAnswer: -1613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qy when two letters picked without replacement from ymyyq?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*(-7)\/7)\/(2*(-2)\/14).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h + 1216 = 1266 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -12. Suppose -4 = -0*d + d - 4*p, -p = 2*d - 1. Suppose -5*b = -20, 3*i = b + 4 + 1. Solve 2*f - v + i = d for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (24\/(-9))\/(2\/(-15)). Find the common denominator of (-622)\/(-60) + (-4)\/m and (-49)\/4 + (5 + -8 - -5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**2*a*a\/a**(2\/3)*a*(a*a**(-7))\/a*a*a*a**(-7)*a assuming a is positive.\nAnswer: a**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2139170 is divided by 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4965120 and 30240.\nAnswer: 104267520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -786, 6\/13, -4\/9.\nAnswer: -786, -1, -4\/9, 6\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108049 and 1294.\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/10 of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 7*b = -l - 7, 11 = 5*b + 3*l. Suppose -5*f = b*i - 294, -5*i + 107 = 2*f + 3. Calculate the highest common divisor of 155 and f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 2*t + 37, -5*m - 41 = -2*t + t. Let a be ((-3)\/(m\/60))\/2. Factor -2*i**3 - 8*i - 2*i + a*i**2 - 14*i + 8 + 8*i.\nAnswer: -2*(i - 2)**2*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -38 - 197*q**2 - 188*q**2 + 0*q + 394*q**2 - q in the form n*q**2 + k + m*q and give k.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000012208 rounded to seven decimal places?\nAnswer: -0.0000122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 12 = 5*c, 5*o - 52 = -3*c + 6*c. Suppose o*m = -7*m - 108900. Round m to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 48*r**2 + 48*r**2 + 3 - 82*r**2 to o*r + h + v*r**2 and give v.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2110 - -5585?\nAnswer: 7705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.041 times 244711?\nAnswer: 10033.151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w - 1. Let k(m) = -10*m + 5. Let r(o) = 9*o - 4. Let l(s) = s + 1. Let h be l(-5). Let u(a) = h*r(a) - 3*k(a). Calculate -u(q) - 4*y(q).\nAnswer: 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4502 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21690896\/9 or 2410100?\nAnswer: 2410100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17.72 + 8.86. Let z = 9 + m. What is z rounded to 2 decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 404, 806, 1232, 1700, 2228?\n\"Answer: 3*v**3 - 6*v**2 + 399*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1071369 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3) + -2)*3 - (sqrt(27)\/sqrt(3))\/sqrt(3)) + 2)**2.\nAnswer: -16*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 5*n + 17, 2*n = 3 + 3. Let u = 2 + -3. Put u, -0.4, c in descending order.\nAnswer: c, -0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 5:17 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 227 + -226. Let o = 0 - g. Which is the third biggest value? (a) 4 (b) o (c) 1\/8 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 13, 5, -25, -89, -199, -367?\n\"Answer: -2*w**3 + w**2 + 3*w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -125025?\nAnswer: -125020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*x + 2)*(-3*x**4 + 0*x**3 + 0*x**3) + x**5 + 2*x**5 - x**5 + (-x**4 + 4*x**4 - x**4)*(2*x - 5*x + x) - 4*x**5 + 13*x**5 - 6*x**5.\nAnswer: -5*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of 265*t**8\/48 + 29*t**4\/6 + 2*t**3\/3 + t**2 + 3034*t. What is the second derivative of d(j) wrt j?\nAnswer: 37100*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*(-1)\/45*2\/2.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4372.95 - -4471. Let i = 98 - o. What is the biggest value in i, 4\/3, -0.3, -1?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 17*d + 127. Let n = 379 - 386. Let b be k(n). Solve -2*g = -o - 4, 4*o - 3*g + b*g = 10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 4*c**3 + 0 + 16\/9*c**4 - 2\/9*c**5 + 0*c**2 = 0. What is c?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 smaller than -23138.481?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1957?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r + 3*r - 1 - 3*r. Let i = 8 + -6. Suppose 5*l + i*p - 2 = l, 5*l - 6 = p. Calculate m(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/5)\/((-2)\/20). Suppose 0 = -421*u + 436*u - 90. What is the highest common divisor of u and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 3*v - 1. Let d be s(2). Let r be (2 + -3)*(d + -1). Suppose 2*x = 4*z - 80, r = -z - x + 24 - 1. List the prime factors of z.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/3)\/s)**(3\/2)*(s\/((s\/(((s*s\/(s**(1\/3)*s))\/s)\/s*s)*s)\/s)*s)\/s**(-5)*(s**(2\/5)*s\/(s*s\/((s*s**(2\/23)\/s)\/s)))**(-30) assuming s is positive.\nAnswer: s**(6977\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 882914 or 882912?\nAnswer: 882914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.06 - -0.34. Let h be (-4)\/(-1 - 0\/2). Put h, -1\/4, f in ascending order.\nAnswer: -1\/4, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34457 * -0.07786.\nAnswer: -2682.82202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 33*x. Let r(p) = -15*p**2. Determine r(v(y)).\nAnswer: -16335*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 10*u**2 + 470*u - 2724. Give z(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*c**2 - 2*c**2 - 33732 + 26542 + 8*c**2 to the form h + i*c**2 + b*c and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 5)*(-4*x + x + 2*x)*(76*x**4 - 12*x**4 - 11*x**4).\nAnswer: 212*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.56 - -7.668. Let p = r - 0.108. Let h = 6 - 2. Put -2\/11, h, p in decreasing order.\nAnswer: p, h, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9 + (1 - 2))\/1. Suppose -2*k + a = -k. Suppose 0*f - 15 = -f. What is the remainder when f is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1500 a factor of 581869727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10538 - -20803. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -235*f + 501*f - 2084 + 0*f**2 + 3*f**2 - f**4 + 1857*f - f**2 with respect to f.\nAnswer: -4*f**3 + 4*f + 2123","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 3*v - 24. What is the tens digit of v\/(-21)*98\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*b**6 - 6*b**5 - 204*b**2 + 2*b?\nAnswer: -1560*b**3 - 360*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 833362560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (11 + -13) - 6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 m when three letters picked without replacement from {w: 2, m: 5, y: 4}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 460 = -3*s, 4*j - s - 153 = 315. Let d be j\/4 - (-20)\/40. What is the highest common factor of d and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-133)\/(-342)*8\/(-14).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 182, 176, 158, 122, 62, -28, -154?\nAnswer: -322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4738 + -401854.\nAnswer: -406592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 2\/5, -0.2, 113, 0?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39981 + -39981. Let g be 5*(1 + (-77)\/5). What is the nearest to -1 in g, -5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1224\/53? (a) -2\/15 (b) 0.1 (c) 0.3 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -5*x**3\/3 + 3*x**2\/2 + 287*x. Let d(z) = 4*z - 1. Let i(h) = -11*d(h) - 4*s(h). Give i(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21 and -1007?\nAnswer: -21147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/1202 or 12?\nAnswer: 5\/1202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -526480 - -526489.65052. Let q = -9.61 + y. Let h = q + -0.04. What is h rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28305.9316 to the nearest one hundred.\nAnswer: -28300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13198859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4262 - -4277. Let k be (8\/(-6))\/((-1)\/42). Suppose 2*a = -0*a + k. Calculate the remainder when a is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -8, -35, -2, 1, -15, 46 in decreasing order.\nAnswer: 46, 1, 0, -2, -8, -15, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19.1 + 19. Let p = c + -0.03. Let u = -0.13 - p. Is u less than -3\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7*(-30)\/(-140))\/(11\/(-2)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + u - 3*u - 530 = 0, -5*k - u = 1313. Let p be (-1)\/3 - k\/(-6). What is the tens digit of 282\/22 + (-8)\/p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 134, 222, 310?\n\"Answer: 88*j + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1107655, -1107650, -1107641, -1107628, -1107611?\nAnswer: -1107590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 bigger than 63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r + 20 = -f + 3*r, 0 = -5*r + 25 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -12. Find the second derivative of -2*w**4 + i*w + 5*w**4 + 3*w**4 wrt w.\nAnswer: 72*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3 - 136*y**3 + 25*y**2 - 2 + 67*y**3 - 2 wrt y.\nAnswer: -414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57649675.9 - 57649646.49999368. Let b = 29.4 - x. Round b to seven decimal places.\nAnswer: -0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 - 8)*(-3 + 0 + 2)*(0 + m + 0)*((5 - 4 + 2)*(-3 + 4 + 0) + (0 - 3 + 1)*(0 - 1 - 1) - 1 - 5 + 2) to the form b*m + z and give b.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1014?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p - 2. Let w be k(-7). Let t(c) = -c**3 - 39*c**2 - 4*c - 92. Let o be t(-39). Suppose -o*z + 18 = -67*z. Is z != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 - -36. Sort 0.4, o, 4, 0.06.\nAnswer: o, 0.06, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10211 (base 4) in base 16?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbgbbbbb. Give prob of picking 2 g.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/5 + (-12)\/(-5). Let h = 56 - 56. Solve 0 + t*q + h + q**2 + 1 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1443631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24 or -0.09349?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65 - 159. Let a = -4 - b. Is a a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 5*x**2 - 5*x - 5. Let a be r(6). Let d(t) = 7*t**2 - 3*t + 2. Let c be d(a). What is the greatest common factor of 48 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -2\/5, 0.2, 3, 5, 120, -49, -2.02?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 9) to base 15\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-63)\/(-49))\/9)\/((31356\/(-182))\/18)?\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 - -169. Let k(a) = a**3 - 5*a**2 - 5*a - 3. Let r be k(6). Suppose 30 = 2*f + r*f. What is the least common multiple of l and f?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 0*u - u)*(139 - 17 + 2)*(-u + 1 - 1).\nAnswer: 124*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2457 - 1141. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.3 and 8?\nAnswer: -10.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 + 52 + (-89 - -1) - -15.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -4*l**3 + 102672*l**2 - 410540*l - 2155776 = 0.\nAnswer: -3, 7, 25664","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -460 greater than or equal to -479?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*r**5 + 10756522*r**4 - 2*r**2 - 600899725 wrt r?\nAnswer: 1080*r**2 + 258156528*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -19 - 16 - 18 + 77 + 5*h - 21. Let w(q) = -56*q**2. Calculate w(g(u)).\nAnswer: -1400*u**2 - 1680*u - 504","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -1\/2, 50, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*h - 5*a, 0*h = 4*h + 3*a - 15. Let w(r) = 2*r - 1. Let d be w(h). Let t(m) = -4 + 1 + 5 - 2*m. What is t(d)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(272))**2 - (-1 + 1 + sqrt(17)).\nAnswer: -sqrt(17) + 4352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*((15\/6 - 3) + -6). Let c be 50 - (o\/(-5) - (-14)\/(-35)). Let s = -32 + c. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 258 divided by 86.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 5. Let r(c) = -c**2 - c**3 - c**2 - 3 - 519*c + 515*c. Determine r(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228270?\nAnswer: 2, 3, 5, 7, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*n - 28*n - 45*n in the form l*n + h and give l.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 117ba4?\nAnswer: 117ba0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -382*b**2 - 176*b**2 + 319*b**2 + 2 - 2 + b**2 + (b - 3 + 3)*(2*b + 3*b - 3*b) in the form n + y*b**2 + s*b and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k + 560. Let h be j(6). Is 566 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.078, -4, -0.2 in decreasing order.\nAnswer: 0.078, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -1. Let l be 2 - (-2 - -9)*z. Let d be (-1 - -205)*3\/l. What is d rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 5*n - 473 - 31, 4*n - p = 399. Calculate the smallest common multiple of n and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**3 + 33723*s + 2*s**2 - 11 - 7 + 3*s**4 - 33730*s as f + x*s + z*s**3 + p*s**2 + v*s**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12128186.\nAnswer: 2, 7, 123757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 33206956 to the power of 1\/3, to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 0.04 (b) -2\/29 (c) 5\/10896\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -45*t**2. Let j(u) = 6*u - 18*u - 12*u - 30*u + u. Give s(j(l)).\nAnswer: -126405*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1\/56872021 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1658951 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -9 - 11 - -6 - (-25 + 11 + -3)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7321 - 2129 = -4*d. Let z = d + 1934. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 738.886ml?\nAnswer: 0.738886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 + 4 = -4*n - 3*y + y + 7, y = 4 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k + 15. Calculate v(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2*j**2 - 57*j**3 + 30*j**3 + 2*j**2 + 59*j**3.\nAnswer: 32*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11172, -22349, -33550, -44787, -56072?\n\"Answer: -2*z**3 - 11163*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -745*g + 13789 = 1645*g + 67*g + 134182 for g.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -1) + (-13 - (-39 - -20)) + -22.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-10 - -6)) + 3 + -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 26*d - 6 - 41*d + 13*d. Let t(c) = -2*c - 5. What is -4*t(s) + 3*y(s)?\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 219, 142, 13, -168, -401, -686, -1023?\n\"Answer: -26*r**2 + r + 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v + 10. Let m be f(4). Let p be (-1 - 0)*(4 - (m + -5)). Let d(c) = -c**3 + 4*c**2 + 3*c + 2. Calculate d(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3 + 3, -2*v + 41 = 5*u. Suppose 15*o - 18*o = 0. What is the lowest common multiple of (-4 + o + 2)\/(2\/(-11)) and v?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 163*f - 169*f - 30 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 8*o**2. Suppose -4*f - 4*h + 3*h = 35, -5*f - 52 = 4*h. Let k be v(f). Suppose k = 2*s + 55 + 49. Is s < -52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2 + sqrt(45))**2 - ((0 + sqrt(80))**2 + -4*2*sqrt(5)).\nAnswer: 14 + 50*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, 195, 762, 1867, 3690, 6411, 10210?\nAnswer: 15267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 10 = -g. Let x = g + 18. Suppose 0 = -5*h - 12 + 32. Solve 2*p - x = 5*p + 5*d, 4 = 5*p + h*d for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3357897229 to the nearest integer?\nAnswer: 1497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -72506121 divided by -6\nAnswer: 24168707\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 18772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c - 3 + 3 + (1882 - 1882 + 974*c)*(-2 + 1 + 0).\nAnswer: -976*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -62 + (29 - -82) - -26\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 556 is divided by 70?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-987867)\/456)\/(2601\/(-4)). Let i = 1\/578 + m. Find z, given that z**2 + i + 17\/3*z = 0.\nAnswer: -5, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000037203 rounded to six dps?\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from gbaagggbaa.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or -10096?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(190)\/(sqrt(10)*-1) - (-1 + 1*sqrt(19))).\nAnswer: -5 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2090.\nAnswer: 2, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229*g - 15 = -224*g. Does 16 divide (60\/130)\/g + (-10664)\/(-26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of 13*u**5\/60 - u**3\/6 + 6*u**2. Suppose 4*i - i + b = 2, 4*i = 2*b + 6. Suppose g - i = 2*g. Calculate d(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 722*p**3\/3 - 12829408*p**2 - 2700936*p - 426464\/3.\nAnswer: 2*(p - 53308)*(19*p + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -76 - -78. What is the units digit of (103\/z)\/((-17)\/(-34))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11455 and 415145?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 - 6)*(4*x - 2*x + 12*x)*(3*x + 5 - 5)*(0 - 1 + 0)*(-2*x + 7*x - 2*x) in the form s*x**2 + t*x + l*x**3 + u and give l.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 3*n = 16, 0 = 17*c - 16*c - 5*n - 24 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3478\/5?\nAnswer: -3478\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -t + s + 4, t = -2*s - 2. Let k be 20\/40*(t + -50). Is -28 >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times 0.41\nAnswer: -0.0164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.3 + 3. Let b = v + -3.7. Let q = 3.7 + b. What is the third biggest value in q, -2, 2\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1228*n**4 - 698?\nAnswer: -4912*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/22 - 92\/22. Let d be (4\/(-15))\/(k\/(-10)). Which is greater: -2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + x**2)*(13*x + 17*x - 8*x)*(-5*x + 4*x + 3*x).\nAnswer: 44*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2782640953?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11)\/(-15) - 4\/10. Let l = -133 + 97.5. Let p = 35 + l. Sort p, -0.3, q in descending order.\nAnswer: q, -0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 12:30 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*d, -6*l = -3*l - 2*d - 13. Suppose 3 + 135 = 3*o. Suppose b - 4*w = 3*b - 28, 2*w = -5*b + o. What is the remainder when b is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1455663 - -2?\nAnswer: 1455665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -9*w**2 + 14*w - 5. Let f(m) = 7*m**2 - 14*m + 4. What is -3*a(u) - 4*f(u)?\nAnswer: -u**2 + 14*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 4 = 2*g. Let u(d) = -10*d**2 - 6*d + 2. Let r(s) = 11*s**2 + 6*s - 3. Let a(m) = g*r(m) - 3*u(m). Find the second derivative of a(k) wrt k.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/8)\/((-51)\/(-34)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/(((-1)\/(-2))\/(6\/(-12))). Let q(i) = -i - 16. Let n be q(m). Let b be (-1 - -1*10) + (0 - n). Solve -3*k - 6 = 5*f, 6*k + b = k for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/(c**(-2\/9)\/c)))\/c**5)\/((c*c**(2\/5))\/(c*c**(2\/23)*c)))\/((c\/((c**1\/c)\/c))**(5\/9))**(-13) assuming c is positive.\nAnswer: c**(9221\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**3 + 24*b**4 - 13 + 193*b - 193*b + 2*b**2 + 4*b**3 - 27*b**4 to p*b**2 + o*b**4 + i*b + z*b**3 + t and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 21*j**2 - 3*j + 9. What is p(2)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 9:22 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3)\/l)\/l**6*(l*l**(-1\/11))\/l*l*l\/((l**(4\/3)*l)\/l) assuming l is positive.\nAnswer: l**(-311\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(1 + sqrt(700) + (sqrt(700) - (1 + sqrt(700))))*1 - (4 + -4 + 0 + sqrt(700) + 1))*5)**2.\nAnswer: 2000*sqrt(7) + 280025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(136) - (-1*(sqrt(136)*-2 + sqrt(136)) + sqrt(136) + sqrt(136) + sqrt(136)))\/(sqrt(8) - sqrt(648)*-2) + (4 + 5*-1*2*sqrt(17))**2 + -1.\nAnswer: -1505*sqrt(17)\/19 + 1715","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5097420879?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**2\/7 + 34660*b + 1051151150 = 0.\nAnswer: -60655","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 86749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 298 = -3*z + 2*m, -3*z + 310 = 5*m. Let f = -96 + z. Calculate the lowest common multiple of 18 and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 1390 = -3472. List the prime factors of z.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (135\/20)\/(-9)*-2\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 12*x - 36 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -24*t**3 + t**2 - t - 1. Determine g(-1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 3*n - 12, -5*n = 8 + 17. Let r = -2 + s. Let f be 2 + (-3)\/(-1) + 2. Is f equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -3*o**5 - 3*o**4 + 9*o**3 + 3*o**2 - 6*o = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**3 - a**2 - 5*a + 24. Let w(m) = -m**3 - m**2 - 3*m + 12. Calculate -3*p(f) + 5*w(f).\nAnswer: f**3 - 2*f**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p - 5. Let a be v(4). Suppose -a*c + 30 = -0*c. Suppose -4*z - 60 = -3*g - 5*z, -z = -2*g + 40. Calculate the greatest common divisor of g and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35399 to the power of 1\/2, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.475 plus -21.8434?\nAnswer: -53.3184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -99 + 153. Let o be 11\/(1 - 6\/3). Let p = o + k. What is the greatest common factor of 430 and p?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 h when three letters picked without replacement from qdhdh?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 + 2840715*i**2 - 153392049*i + 2070763137.\nAnswer: -3*(i - 946851)*(i - 27)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -294493 + 3?\nAnswer: -294490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, e: 1, i: 4}. What is prob of sequence lii?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 96.727208 to 2 decimal places.\nAnswer: 96.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r - 3*r - 8 + 20. Let q be a(9). Let v = -23 - q. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t + 18 + 0 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 4*c - 19. Let d(z) = z**2 + z + 1. Give -2*d(t) + j(t).\nAnswer: -t**2 + 2*t - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.74 and 20.8853.\nAnswer: 23.6253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 4*t**2 + t - 4. Let y be f(4). Let s be (-68 - -103)*1\/(-5). Which is bigger: s or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.629 rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 109704.9g?\nAnswer: 109.7049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 greater than -2\/1133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 296989015.\nAnswer: 1\/296989015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 337 divide 80399101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 851933 is divided by 851919?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = h + n, 9*n - 12*n = -2*h - 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1923, -2694, -3527, -4422, -5379?\nAnswer: -6398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of -q**4\/138 + q**3\/23 + 962*q. Solve p(z) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*l + 59986 = -l + 153970. What are the prime factors of l?\nAnswer: 3, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/27075 and -151\/32490.\nAnswer: 162450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -84002923 * 4.\nAnswer: -336011692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 5 + 9 + -23 + 26\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 13. Let a be c\/4 - 12\/(-7). Which is bigger: a or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6 from 0.0408.\nAnswer: -5.9592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0 (b) -4 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 10) to base 15.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 7:45 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2)**(-8\/13)*(a\/(a*a**(-2\/23)))\/(a*a*a**(3\/5)) assuming a is positive.\nAnswer: a**(-5597\/1495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -123727, -81?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 2090721?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/(f**5\/f))\/f*f)\/f**(-6))\/(f**(-1\/3))**(-1))\/((f**(-1\/3)*f)**(-1\/24))**(11\/2) assuming f is positive.\nAnswer: f**(203\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 59666.977 from 9555.\nAnswer: -50111.977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 101*x + 1. Is q(12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 7*n + 1. Let l be m(-1). Let z be ((-3)\/(-3))\/((-2)\/l). Solve 0 = 4*h + 7 - z for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 21730621 - -26?\nAnswer: 21730647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12\/(6 - 135\/25) and 134?\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*d**2*o*q**3 + 529*d**2*o + d**2*q**2 + 1521*d**2*q + 2*q**3 wrt o?\nAnswer: -2*d**2*q**3 + 529*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02679 - -381.\nAnswer: 381.02679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4146*q = 4196*q + 791 - 2691 for q.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 26, -1.1, -88\/5, -18, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 7.1?\nAnswer: -21.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + (-3 - -1))\/(-2). Put j, 2, 16, 4 in ascending order.\nAnswer: j, 2, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8135776755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 + 0. Let z = -17 + 24. Suppose -2*g - 4*i + 22 = -z*g, 5*g + 5*i = 5. Are x and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/4 (b) 3 (c) 3\/7 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (9 + -5 + (-3 - -1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwjrmrmssjjrsm. What is prob of sequence sj?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 41*n - 4 = 39*n, -7 = -5*x - n. Solve -16 = -d + x*w, w = -0*w - 6 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3888 and 23572944?\nAnswer: 23572944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**1*p*p*p**(-34)*p*p*(p**(1\/4))**(-4\/5))**(-42) assuming p is positive.\nAnswer: p**(5922\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d - 46 - 42 = 42 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 93266037682 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -187*r + 174*r + 37427. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 100166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17477.9999992301 + -17478. What is n rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1188785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-40)\/140 + (-76)\/28 - 22399997. Round h to the nearest one million.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 107*h**4\/12 + h**3\/6 + 5*h**2\/2 + 18*h + 2. Find the second derivative of y(z) wrt z.\nAnswer: 214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b*(b*b\/(b\/b**37*b))\/b*b*(b\/(b*b*b**(6\/5)\/b*b))\/b*(b**10*b)**(-3\/23) assuming b is positive.\nAnswer: b**(3952\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of 13*g**3\/6 + 2*g - 7. Let w(i) be the first derivative of x(i). Let l(d) = -2*d**2. What is l(w(z))?\nAnswer: -338*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -1. Suppose 2*y + w*y - 150 = 0. Suppose 5*a - 105 + y = 0. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 95*o - 11 + 6 - 51*o + (0 + 1 + 0)*(1 - 1 - o) + (-5*o + 3*o + 4*o)*(-1 + 3 - 3) - o - 2 + 2 - 2*o - o + 4*o - 3*o + 9*o - 2*o.\nAnswer: -145*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from kqkkyqkz?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*d + 4. What is the remainder when d is divided by 8\/6 + (-4)\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(1 + sqrt(5)) + 5 + (-3 + sqrt(5) + -5)*-5)*-3)**2.\nAnswer: -7200*sqrt(5) + 18900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - c - 20 = 0, -398*d = -401*d - 4*c - 52 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/((3*sqrt(64))\/sqrt(8)).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3\/2 - 117*c**2\/2 - 609*c\/2 - 495\/2.\nAnswer: -3*(c + 1)*(c + 5)*(c + 33)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1810404467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1712 + 986 = -242*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 23 = -5 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.120805 and 1?\nAnswer: 0.120805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 0.5, 2\/155895 in descending order.\nAnswer: 0.5, 2\/155895, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 93385 and 229520?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/(-16) + ((68 - 53) + 15\/(-3) - 12).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.5 - 3. Let z = 0.18 - -0.22. Which is the third smallest value? (a) z (b) w (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-5\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 825 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 11.32158?\nAnswer: -8.32158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.188 and -844.\nAnswer: -158.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, 104, 97, 88, 77?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 4 = t, -6*p - 4 = -3*t - 8*p for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 396 divide 21046581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*f - 131, -123*f - 123 = -128*f + 3*p. Calculate the remainder when f is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 7*a = -67, 39 = -5388*n + 5385*n - 3*a for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0 = -9. Let l = 12 + q. Factor y**l - y + 3\/2*y**2 + 0.\nAnswer: y*(y + 2)*(2*y - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/19 or 123?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 424*f + 320 = 440*f. Solve 3*v + 5*m - 5 = -f, -2*m = -5*v - 25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -430004?\nAnswer: 215002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 2, -104411, 0.1 in increasing order.\nAnswer: -104411, 0.1, 4\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23665*q - 47364*q + 23682*q + 4*q**2.\nAnswer: 4*q**2 - 17*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 661*c*j**2 - 28*c*j + 72161*c wrt j?\nAnswer: 1322*c*j - 28*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1490783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 + -50. Let i(z) = -z**3 - 8*z**2 + 4*z. Let w be i(-9). Suppose 0 = v + 2*v, -v + w = 5*u. Solve -2*o - f = u, o + 4*f = -g + 3 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fmtffmfm. Give prob of sequence mftm.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -241, -725, -2169, -5053, -9857, -17061, -27145?\n\"Answer: -80*c**3 + 76*c - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) 48 (c) 17 (d) 1 (e) -6 (f) -4\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, d: 2, u: 4, c: 1, m: 7}. Give prob of picking 1 c and 1 s.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4534 greater than or equal to 4535?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(320) + sqrt(20))*-1 + sqrt(20))\/(-4*sqrt(8)\/sqrt(2)))**2 + (sqrt(20)\/(sqrt(12)\/sqrt(3)))**2 + sqrt(5) + (sqrt(5) - (sqrt(245)*-5)**2) + 1.\nAnswer: -6134 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 9. Let t = -27 - -42. Suppose -m = 2*l - 4, -t + 5 = -5*l - m. Are w and l equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5376 + -5376. Solve b = -141*y + 121*y - 140 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*z + 1 = -72*z + 1223 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x + 26. Let a be s(14). Let w = 13 - a. Suppose -12*m = -37*m + 50. Solve -3 + w = -m*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(33)*1)\/sqrt(11) + -4.\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of d**3\/3 - 5*d**2\/2 + 9*d - 1. Let t(l) = 165*l - 819. Let i be t(5). Determine h(i).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 13*s**3 - 1249*s**2\/2 + 647. Find the second derivative of v(x) wrt x.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 + 3.2. Let z = 23 + -24. What is the third smallest value in c, z, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*a**3 - 2*a**3 + 2*a**3 + (-8*a + 9*a + 4*a)*(-2*a**2 + 4*a**2 + 0*a**2).\nAnswer: 18*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14.76 and -745.\nAnswer: 10996.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gfu when three letters picked without replacement from {s: 11, v: 4, f: 1, u: 1, z: 1, g: 1}.\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 38\/133*-35*((-216)\/(-16))\/(-27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.8 and -500889.\nAnswer: -500889.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*m**2 - 351*m - 102.\nAnswer: 3*(m - 17)*(7*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mhh. What is prob of sequence hh?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1752329969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16086*l + 16090*l + 5*c - 48, -3*c - 3 = -2*l - 1 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 51*q**2 - 10*q + 23. Let a(t) = -104*t**2 + 19*t - 38. Give -3*a(h) - 5*f(h).\nAnswer: 57*h**2 - 7*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -950 + 309 = -n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**3 - 15*o**2 + 29*o - 15. Let p be a(4). Solve -7 = -46*l + p*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 8156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -18448965 times -2\nAnswer: 36897930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9264 + -8742.9. Round f to the nearest ten.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 c when three letters picked without replacement from ochaahf?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a**3 - 1256*a**2 + 4591*a - 10832. Calculate h(415).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.34*5453\nAnswer: -1854.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.7 - 4109401?\nAnswer: -4109429.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 206 and 103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence es when two letters picked without replacement from esqeseyey?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 861 and 13807857.\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -15171 divided by 69\nAnswer: -5057\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = -3*l + 85. What is the second derivative of 156*o**2 - 351*o**l + 8*o + 164*o**2 - 3 wrt o?\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 - 65*w**2 + 165*w + 225.\nAnswer: -5*(w - 3)*(w + 1)*(w + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 g, and 1 r when three letters picked without replacement from {s: 4, t: 4, g: 4, r: 8}?\nAnswer: 32\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, -1020, 19, -2 in increasing order.\nAnswer: -1020, -2, 19, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 1095*g + 15. Let f(p) = 824*p + 11. Let c(o) = -15*f(o) + 11*t(o). Let r(u) = -3*u. Give c(r(y)).\nAnswer: 945*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 <= 88874?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2542 to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55696627?\nAnswer: 7, 7956661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.811019 and -10097.\nAnswer: -10095.188981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 21\/(-28) - (-72)\/(-32). Sort -24, 3, z in descending order.\nAnswer: 3, z, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67 + 36 - 67)*(2 - 3 - 2)*(-3*f + 6*f + f).\nAnswer: 1176*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/15, -0.4, -1.422, -3.49, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-2) + (0 - -3). Find the first derivative of 4*o**2 - 2*o**a - 4*o**2 - 3 + 2 wrt o.\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05646 + -2.7?\nAnswer: -2.64354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from adahahhaddhdoddada. Give prob of picking 1 a and 1 d.\nAnswer: 14\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 - (182936\/(-1352) - -85).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 12 = 12. Suppose -2*a = 0, 0 = -p - q*p + 3*a + 3. Let z be 4*(3 + (-57)\/20). What is the biggest value in z, p, -1\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, m: 2}. What is prob of sequence ccm?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -14438642, -28877288, -43315934, -57754580, -72193226?\n\"Answer: -14438646*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29712 = 9*z - 7701. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1269 and 27.\nAnswer: 1269","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2119 and 147026.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**3 - 2*h**3 + 2*h**3 + (3*h - 2*h + h)*(-2*h + 2*h - 2*h**2) + h**3 - 2*h**3 + 5*h**3 - 2*h + 2*h + 2*h**3)*(-h - 3*h + 6*h).\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 3291999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 11*a**2 - 25*a + 8. What is t(13)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2 + 3 + m**2 - 2 + 2*m. Let w be d(-4). Find the first derivative of w + 1 + 5*a**2 - 2 wrt a.\nAnswer: 10*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2721600 rounded to the nearest ten thousand?\nAnswer: 2720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5 + 360*u**4 + 716*u**3 - 2*u**2 - 717*u - 358.\nAnswer: (u - 1)*(u + 1)**3*(u + 358)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1030 and 3502?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 92\/14 + (-8)\/14. What is the units digit of n\/15 - (-1218)\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/1209 and 55\/3627.\nAnswer: 3627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*l = -17*l - 120. Is 4\/3 - 34*(-148)\/l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 338 by 6260.\nAnswer: 169\/3130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n**2 + 702*n + 30616. Calculate b(-81).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1058 or 1057?\nAnswer: 1058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12737206.\nAnswer: 2, 29, 219607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 10. Let d = 0.5 + -6.5. Let u = q + d. What is the smallest value in u, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -482328 divided by -120582\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**3\/4 + 145*a**2\/4 - 20257*a\/4 + 527951\/4 = 0.\nAnswer: -239, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 8:41 PM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -240320 and -0.19?\nAnswer: 240319.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03*-7672.\nAnswer: 230.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201346675.\nAnswer: 5, 541, 14887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.23 != -37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1, -1.3, 493?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(99))\/sqrt(9))**2 - (sqrt(11) - sqrt(275))*-1.\nAnswer: -4*sqrt(11) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5 = 5*a, -c - 2*c - 1 = -a. Let g be 66\/(-9)*a\/2. Which is smaller: g or -1\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -18*7\/(-21)*1. Suppose k*t = 42838 - 424. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-2\/31))**37)**(5\/8))**(4\/3) assuming t is positive.\nAnswer: t**(-185\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.2 + 3. Let z = -15.1 - -81.3. Let y = z - 66. What is the nearest to r in -2\/13, y, -3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 57.\nAnswer: -5\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 3635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3370.9 times 0.7?\nAnswer: 2359.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2952 = 2*q, -700*n + 704*n = -3*q + 2950. What is the remainder when n is divided by 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -118, -407, -824, -1357, -1994, -2723, -3532?\n\"Answer: 2*q**3 - 76*q**2 - 75*q + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - (-22 - -17)) + 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4465 - -4475. What is the closest to -1\/4 in -3\/28, -6, z?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 54*l**2 + 17*l - 1. Let k(z) = -103*z**2 - 32*z + 1. Calculate 4*k(o) + 7*q(o).\nAnswer: -34*o**2 - 9*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-14))\/(3*21\/(-49)*66\/99)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 705893.\nAnswer: 23, 47, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -16. Let j = -12 + q. Is 10 a factor of j*(-1 + 4\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 6. Let n = -38079 + 38103. Solve a + n = -5*x, y*a + 8 = -x - x for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -2*l + b + 5, 0 = 5*l - 2*b - 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67060 is divided by 67053.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 + -43. What is the hundreds digit of (s*-68)\/((-8)\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -366 - -5492\/15. Which is the third smallest value? (a) -1 (b) 0.4 (c) o (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/528 and -7\/660.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -4832*t - 5479*t - 8 - 3 + 0. Let h be k(13). Let b = h - -44054. What is b rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 74660 or 74659?\nAnswer: 74660","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3*sqrt(187)*2 - sqrt(187))*4)\/(5*(-1*sqrt(77)*2)\/sqrt(7)).\nAnswer: -14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -6*a. Let j be y(2). Suppose i + 53 = 2*s - 29, i = -3*s - 82. Let l = j - i. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151482 is divided by 5075?\nAnswer: 4307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 6*y - 3. Let o be m(7). Let n(a) = -1 + o - 6 - 6*a. Is n(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, o: 1, d: 2, l: 1, y: 2, b: 1}. Give prob of sequence oy.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f = 157433 + 328765. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-257)\/2 + 2)*-22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1602*m**2 - 499*m**4 + 1602*m**2)*(-3*m + 4*m - 2*m).\nAnswer: 499*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of t**6\/3 + 2*t**5 + t**4 - 28*t**3\/3 - 3*t**2 + 18*t + 552. Find x such that q(x) = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 75.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 183, 192, 203, 216, 231?\n\"Answer: w**2 + 6*w + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 491865819 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 198\/(-165)*15\/(-9). Solve 10 = v*l, l = -z - 0*z + 5 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 16 + (3 - 14).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 144*h**4 - 6*h**3 - 13*h**2 - 5*h. Let d(r) = 145*r**4 - 5*r**3 - 15*r**2 - 4*r. Let l(q) = 5*d(q) - 4*u(q). Find the third derivative of l(s) wrt s.\nAnswer: 3576*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -345643 - 37139*j + 345643.\nAnswer: -37139*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v - 1. Let h be ((-6)\/8 + (-612)\/816)\/((-3)\/(-4)). Let z(c) be the third derivative of 7*c**6\/120 - c**4\/12 - c**3\/3 + c**2. Give h*z(p) + 4*a(p).\nAnswer: -14*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(168)\/(sqrt(7) + -2*sqrt(7)) + sqrt(24)))\/(1*sqrt(12)\/sqrt(4) + sqrt(147)*-2))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k = 16575 - 4251. What is the remainder when 14 is divided by 2\/(-11) - k\/132?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -691876 divided by -4?\nAnswer: 172969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, v: 1, b: 1}. Give prob of sequence bv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 6*n**2 - 12*n - 12. Let j(h) = -h - 7 + 18 - 12 + h**2. Determine -12*j(d) + z(d).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k + 53*k - 2*k.\nAnswer: 51*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 592398 and 315?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 18*t**2 - 19*t - 6. Let g be q(-3). Suppose h + 1934 = 4*w, 1244 = 3*w - 4*h - g. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 146, 145, 144, 143, 142, 141?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123735940?\nAnswer: 2, 5, 43, 143879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3640)\/(-312))\/((-10)\/(-6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1932947\/81 + 23863. Is -1 less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3\/8))**(-5))**(3\/19) assuming a is positive.\nAnswer: a**(45\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, h: 1, s: 3, w: 2}. Give prob of sequence wswh.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 247? (a) 1\/5 (b) -24\/293 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319*s = -318*s + 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a. Let p = -3 - -17. Let u = p - 12. Let l(q) = -u*q + 2*q + 2*q**2 - 8*q**2. Give l(n(w)).\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5407 or 20391?\nAnswer: 5407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*q + 0*q + 16 = 0, q = 5*o + 18. Put o, 5, -1 in decreasing order.\nAnswer: 5, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000894 rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222*v**3 + 167*v**2 + 2*v**2 + 451*v**3 + 3 - 230*v**3.\nAnswer: -v**3 + 169*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 22447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 55*h + 10. Let x(v) = 3370*v**2 - 2*v - 6. Give t(x(a)).\nAnswer: 185350*a**2 - 110*a - 320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + (7 - 4 - 5). Let s(x) = 2*x**2 + 2 - 6 - 3*x**2 + 6*x. Let y be s(o). What is the greatest common divisor of 16 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + (-74 - -10) - -30.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 7:32 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*a = 123*a - 3*j + 33, 8*a - 77 = 5*j. Factor 3\/8*p**2 + a*p + 0.\nAnswer: 3*p*(p + 24)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -667507 (base 10) to base 8.\nAnswer: -2427563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7421439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*c + 1347359 = 62*c + 61*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32303 + 32297. Sort 2, v, 46, 1.\nAnswer: v, 1, 2, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 43000533?\nAnswer: -43000524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 96*p**4 - 96*p**4 + 16*p**5 + (2*p - 2*p - p**2)*(0*p**3 - 4*p**3 + 6*p**3).\nAnswer: 14*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 8*q - 7. Let b(o) = 16*o - 15. Let c(y) = -6*b(y) + 13*j(y). Let p be c(-1). Let w be 30\/135 + 110\/p. Which is smaller: -13 or w?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from szismjjimirrrm.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 14174, 8, -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -3*s**8\/7 - 3*s**5\/4 - 91*s**4\/2 - s**3\/3 + s**2 + 6493*s. What is the third derivative of y(b) wrt b?\nAnswer: -2880*b**3 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) -4\/3 (c) 33 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 - (-26)\/1 - -4. Solve -13 = -4*s - 3*h - 6, 5*s - y = 2*h for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {z: 3, a: 11}.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3306*p**3 + 26678*p**3 + 78*p**3.\nAnswer: 23450*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j**2 + 8*j - 3. Let l be h(6). Let w = 223 - 285. Which is bigger: w or l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 2*z + 4. Let q(g) be the third derivative of g**4\/24 - g**3\/6 + 17*g**2. Let m = 2 - 0. Give m*q(d) + a(d).\nAnswer: d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(4\/7)\/((b\/b**11)\/b) assuming b is positive.\nAnswer: b**(81\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.163 * 94.653\nAnswer: 15.428439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/2505 and 19\/9.\nAnswer: 7515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.034817939 rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**3 + 32 - 5*d**2 + 36 - 11 + 2*d - 4*d + 5 as v*d**2 + x*d + l + i*d**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000111001001100 (base 2) to base 14.\nAnswer: d3c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + -5 - (28 + 8 + 1).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p**4 - 1183*p**5 + 5*p**3 + 0*p**4 + 1188*p**5 = 0. Calculate p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.562 rounded to the nearest integer?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4980764 divided by 1?\nAnswer: 4980764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 58337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2648527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -k. Let j be 3\/7 - (25 - (-3154)\/(-133)). Which is the fourth biggest value? (a) -4 (b) 1\/5 (c) j (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100000100111111 (base 2) in base 16?\nAnswer: -413f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -15*n**2 + 7*n - 5. Let x(w) = -8*w**2 + 4*w - 2. Determine -3*i(v) + 5*x(v).\nAnswer: 5*v**2 - v + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 400 - 13*l**2 + 16*l + 52*l**2 - 23*l - 399. Suppose 0 = -b + 2*b + 3. Is t(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 21 = a, 7 + 1 = 2*a + 2*n. Suppose -7*x - 636 = -3*x. Let g = 2384\/15 + x. Which is smaller: g or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p = -29*p + 56. Let j be 6 + (0 - -2)\/(-2). Suppose -j*u + 108 = -u - p*t, -4*u - t = -133. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f. Let a(k) = -16*k. Let d(x) = 817*x. Suppose -p + 9 = -4*p. Let w(l) = p*d(l) - 152*a(l). Determine w(i(z)).\nAnswer: 38*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + (2 + -1)*-1. Let k = -10 + t. Let n = 24 + k. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 72, -7, -21, -5 in descending order.\nAnswer: 72, -5, -7, -17, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 130*b**5*y**2 + 2*b*y**2 - 2*b*y - 10*y wrt b?\nAnswer: 2600*b**3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 413923.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1622, 3241, 4860?\n\"Answer: 1619*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, h: 8}. Give prob of picking 2 m and 2 h.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2. Let x(t) be the third derivative of 2 + 0*t + 4\/15*t**5 + 0*t**3 + 1\/8*t**4 + 12*t**2. Give x(v(a)).\nAnswer: 16*a**4 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -b + 2*f + 3*f - 0*f, 0 = 77*b - 72*b + 8*f + 21 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 1 + 14. Let i be 12*-1*t\/6. Suppose j + i*g - 14 = 2*g, 9 = -3*j + 5*g. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mxlxxmxmexbx. Give prob of sequence mex.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 5*h + 6. Let v be r(-4). Let u be 925 + 4*1\/v. What are the prime factors of 4\/10 + u\/45?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 282*p**3 + p**2 + 262*p**3 - p**2.\nAnswer: 544*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*v**2 + 8575 + 60*v**2 + 221*v**2 + 8692 - 17267.\nAnswer: 225*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 465941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5592 - -0.6202. Let s = -23 - -22.849. Let f = p + s. Which is the third biggest value? (a) f (b) -0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 7. Let x = z + 2. Let k = -11 + 7. Which is the smallest value? (a) -1 (b) k (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*m - 9*m - b - 4350, 5*m - 5*b - 7240 = 0. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 175647?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4 + (-1 + (-3*sqrt(1539))**2 - sqrt(1539))).\nAnswer: -45*sqrt(19) + 69230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 70, 593, 2016, 4789, 9362?\n\"Answer: 75*a**3 - 2*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -407005 + 421833 = 337*d for d.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3040 and 26059640?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -317, -693, -1069, -1445?\nAnswer: -1821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c. Let r(k) be the first derivative of -2*k**3 + 0*k**2 - 2 + 0*k**4 + 0*k - 1\/60*k**5. Let x(j) be the third derivative of r(j). What is v(x(y))?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -393 or 715?\nAnswer: 715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 13238664654 and 0.3?\nAnswer: 13238664653.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -8*g**4 - 3*g**3 + 9*g**2 - 3*g. Let v(o) = 15*o**4 + 5*o**3 - 17*o**2 + 5*o. Let c(x) = 5*t(x) + 3*v(x). Find the third derivative of c(a) wrt a.\nAnswer: 120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*r - 11*r**2 + 11*r + 0*r**4 - 2*r**4 - 3*r**3 + 14*r**2 + 1 + 1 to o*r**3 + c*r**4 + w*r**2 + v + b*r and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*q + 24, -4*t = -5*t - 3*q - 8. Let x(y) = t*y + y - 2 + y. Is x(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, r: 2, d: 1, e: 1, z: 2, n: 2}. What is prob of sequence nrhr?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/14)\/(((-87216)\/553)\/138).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-36)\/14)\/((-3)\/21). Let a = 27 - o. Let w = a + -2. What is the remainder when 24 is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.09 - 0.59. Let l = 0.145 - 0.245. Which is the nearest to l? (a) 2\/11 (b) -1\/3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -151*r. Let w(k) = 4*k. Give s(w(m)).\nAnswer: -604*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7578 (base 12) in base 15?\nAnswer: -3c58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-4) + (-1023)\/1092 + (-48)\/112.\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6 and -58403142542019.\nAnswer: -58403142542025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -176, -370, -552, -716, -856, -966, -1040?\nAnswer: -1072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*d - 14*d + 10*d to the form r + p*d and give p.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22313 (base 4) to base 7.\nAnswer: 2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3. Let h(u) = -11*u**3 - 6*u**2 - 2*u - 43. Let v(q) = h(q) + w(q). Is v(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -63*b + 139. Give u(9).\nAnswer: -428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84406, 337642, 759702, 1350586, 2110294, 3038826, 4136182?\nAnswer: 5402362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -g**4\/8 + g**3\/3 + 9*g**2. Let u(t) = 3*t + 2. Let p(x) = 2*x + 2. Let s(w) = 5*p(w) - 4*u(w). Calculate 4*q(n) - 5*s(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b**4 - 3*b**4 + 3*b**4 - 14*b**3 + 9*b**4 - 28*b - 3*b**4 to n + z*b**3 + f*b + m*b**2 + g*b**4 and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100100001 - 101?\nAnswer: 1100011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (6\/18*6\/3)\/(3\/6633)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 290345 or 290374?\nAnswer: 290345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, j: 5}. Give prob of sequence uujj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/(-108))\/((-1)\/3). Which is the closest to g? (a) -0.1 (b) -2\/3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 - 23746*l - 13752288.\nAnswer: -(l + 594)*(l + 23152)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 3:16 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -0.5, -131, -6, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46.4*191.\nAnswer: -8862.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 486 - 462. Suppose z = -3*q + 275, -3*z + 0*z + 461 = 5*q. Calculate the remainder when q is divided by i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2304462.\nAnswer: 2, 3, 23, 16699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1101110011001 (base 2) to base 16\nAnswer: 1b99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1129634 to the power of 1\/3, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 - -19. What is the remainder when 16 is divided by 15\/2 - (-9)\/n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232124 is divided by 46.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2088 - 2?\nAnswer: 2086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, b: 2}. What is prob of picking 1 b and 3 t?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(170))\/sqrt(5))\/(sqrt(72)\/sqrt(4)).\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/2)\/(3\/36). Suppose i = -4*d + 30. Suppose -868 = -d*z + 2*z. Calculate the greatest common divisor of z and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, r: 6}. Give prob of sequence rrr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 11*o - 238 = -219, -5*c - 4*o + 13 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213335981 is divided by 62?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of s**6\/360 + s**5\/180 - 5*s**4\/72 + s**3\/6 - 6*s**2. What is w in x(w) = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-70)\/20*(20\/2)\/(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.606 + 0.106. Let v = p + 3.392. Let t = -3.892 + v. Which is the fourth biggest value? (a) t (b) -0.4 (c) 0 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1152) - 2*(-3 + sqrt(8)))*5)**2.\nAnswer: 6000*sqrt(2) + 20900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*w + 52*w = 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 6:13 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4\/7 + 4*l**3 + 62*l**2\/7 + 32*l\/7.\nAnswer: -2*l*(l - 16)*(l + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -21. Suppose v*y - 7*y = 0. Suppose 0 = -4*w - 3*j, -w + 5*w + 2*j = 0. Solve -g + w*g = y for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 3:20 PM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 263, 404, 541, 674, 803, 928?\n\"Answer: -2*a**2 + 147*a + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 4951081.\nAnswer: -9902162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 5*j + 35 = 0, -5*i = -11*j + 13*j - 49. What is the remainder when 491 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0541 plus -0.193639150916?\nAnswer: -0.247739150916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7682\/13 or 591?\nAnswer: 591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 78023 = -110516. Suppose 0 = -21*x + 24200 + g. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.24027 micrometers to nanometers.\nAnswer: 7240.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j - 6. Let h be g(19). Let d(v) = -31 - v + 7*v**3 + 19*v**3 + h. Does 26 divide d(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**5\/6 + 17*d**4\/6 + 43*d**3\/3 + 86*d**2\/3 + 20*d = 0 for d.\nAnswer: -10, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2123457634 to the nearest integer?\nAnswer: 1285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(2\/9)\/p)**36\/(p\/(p*p**0))**(-40) assuming p is positive.\nAnswer: p**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000075657289 to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - f**2 - 1)*(-2*f**2 + 5*f**2 - 4*f**2) - 1605*f**4 + 9314*f**4 - 1829*f**4 + 4871*f**4 + 5166*f**4.\nAnswer: 15918*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6\/329 - -3583\/1974. Let b be -6*38\/(-76)*(24\/9)\/4. What is the closest to b in g, 2\/3, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(-3*sqrt(576) + sqrt(576))*-5.\nAnswer: 5*sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 220 and 18485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**2\/2 + 1916909*o + 3833817\/2 = 0.\nAnswer: -3833817, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = q - 2*q. Suppose 0*t = -4*k - 2*t + 42, q = 4*k - t. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-7\/5)*m)\/m*m)\/((m**(4\/13)*m)\/m))\/((m**(-7\/3)*m)\/(m\/(m**7\/m))) assuming m is positive.\nAnswer: m**(-853\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -3. Suppose 5*c = -4*g + 3*g - 22, b = -3*g - 3*c - 6. Suppose d = -g*r + 95, -5*r + 5*d + 178 = 13. Is 16 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -597 in -3, 0.5, 4, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, u: 2, j: 2, y: 1, d: 1, t: 8}. What is prob of sequence yx?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*r + 3*w = 2, 5*w = -5*r + 20. Let h(g) be the first derivative of -1\/2*g**2 + r + 5*g. Let t(f) = f - 4. What is -4*h(u) - 5*t(u)?\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -11763 - 3\nAnswer: -11766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*j + 10. Let a = 12 + j. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 10 = r - 21, -73 = -3*r - 4*n. What is the third derivative of -2*d**6 + 40*d**2 + r*d**6 + 3*d**6 wrt d?\nAnswer: 2400*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4 or -4148?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 1 = 9. Solve 5*m + 4*i = 3 - w, 5*m + 23 = 2*i for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, h: 2, x: 5, c: 1, l: 1}. Give prob of picking 2 o.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 4 = -2*s. What is the units digit of s\/4*38 + -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvx when three letters picked without replacement from {v: 4, x: 15}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 422366, 844701, 1267034, 1689365, 2111694?\n\"Answer: -y**2 + 422338*y + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1451126 and 4354?\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 w when four letters picked without replacement from {w: 16, r: 4}.\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 30. Let q = 6 + s. Let g = q - -47. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2261*w - 2274*w + 65 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -261894079 divided by -2\nAnswer: 261894079\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10894*j**3 - 843 - 10972*j**3 + j + 426 + 417 - 2*j.\nAnswer: -78*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -278074968.7949077 + 278074953. Let a = v + -3.2050928. Let w = a - -19. What is w rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.21 * 0.835.\nAnswer: 4.35035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -10. Suppose x*k - 53 = -0*k - m, 2*k - 3*m = 23. Is k a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -114, -1349, -2 in descending order.\nAnswer: -2, -114, -1349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a + 1. Let l(o) = -o**3 - 12*o**2 - 2*o - 7. Let c(k) = -l(k) - 5*v(k). What is the remainder when c(-10) is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9195, 18372, 27549?\nAnswer: 36726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4309 - 1513 + 3267 = -289*p + 5248 for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2)\/3)\/((-9)\/162*15\/37390)?\nAnswer: 2, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*c - 16, -3*f - 2*c + 18 - 4 = 0. Suppose f*y = -2*y + 16. Suppose y*z - 38 = -10. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1171055250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3477557407 to the nearest integer?\nAnswer: 1515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 997 - 237. Suppose -d + 0*d + 3*z + 86 = 0, -4*d + 3*z + w = 0. What are the prime factors of d\/4 + -1 - (-18)\/(-36)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3090 and 125454.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 7*s**2 + 280*s - 8851. Give y(-56).\nAnswer: -2579","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b4a + 5?\nAnswer: -1b45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31\/6337 + 12581\/19011. Factor 10\/3*b + 8\/3 + i*b**2.\nAnswer: 2*(b + 1)*(b + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1192993000 and 33675?\nAnswer: 11225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -80 - -87. Solve 4*w - n*t + 3*t = -28, 4*w = 3*t - 23 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of 35*u**6\/3 + u**4\/2 - 3*u**3 - 1197*u**2\/2 + 3*u - 4186. What is the second derivative of j(v) wrt v?\nAnswer: 1400*v**3 + 12*v - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**2 - 300688*f + 4. Let y(a) = -4*a. What is y(r(v))?\nAnswer: 8*v**2 + 1202752*v - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*3*((-18)\/9)\/(192\/(-384)).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004843034789 to 5 dps.\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 675921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 2 + (2 - -1) + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*u**3 + 1 - 23*u**3 + 3 wrt u.\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 887629966?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9 + (-2 - -4 - 4). Let s(x) be the third derivative of x**4\/12 - 5*x**3\/6 + 4*x**2. Is 3 a factor of s(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 749 is divided by 193.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -487 + 523. Calculate the remainder when 225 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 45*s - 696. What is y(-13)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 15141, 177, -2 in ascending order.\nAnswer: -2, -1, 177, 15141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, b: 1}. Give prob of picking 3 f.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -86, -171, -256?\n\"Answer: -85*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/44)\/(3\/(-54))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4062 - -4065. Let g(u) = -6*u**2 - 7. Let m(o) = 7*o**2 + 2*o + 6. Let h(w) = 8*w**2 + 3*w + 6. Let l(k) = 2*h(k) - 3*m(k). Calculate q*g(x) - 4*l(x).\nAnswer: 2*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/3 + ((-8)\/(-6))\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-90*p + 36*p + 43*p)*(p**2 - 3*p**2 + p**2) + 5*p**2 + p**3 - 20*p + 1 - 11*p + 33*p.\nAnswer: 12*p**3 + 5*p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 5*w + 4. Suppose -34*x = -27*x + 35. Calculate f(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/1 + 2 + 14. Suppose 0 = -q*b - 8*b - 1411. Let l = 87 + b. Put 5, 1\/6, l in ascending order.\nAnswer: 1\/6, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1200\/2 + 5 + -8. Let v = 712 - m. What is the lowest common multiple of v and 45?\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-34)\/51)\/(7\/(-3)). Solve -2\/7 + 4\/7*s - o*s**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**2 - 23*u + 17. Let k be c(-12). Solve 0 = k*r - 10 - 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2341170 and 598.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 636366 is divided by 106061?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -65*y. Let r be o(1). Let s = 19 + r. Let g = s - -85. Is 18 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 5*a - 3. Suppose -8 = 4*x + 4*d, 12 = -3*x - 0*d + 3*d. Let g(o) be the third derivative of -o**4 + 7*o**3\/3 - 48*o**2. Give x*g(n) - 14*b(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 11:50 AM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4*a - 4*c - 80, -5*c = 3*a + 121. Let y be ((-36)\/a)\/3 + 51\/(-7). What is the tens digit of 3018\/21 + -4 + (-2)\/y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l - 9. Suppose 0 = 2*x - 4*h + 2, 3*x - 26 = -4*h + 11. Calculate q(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b + 7. Let x be p(-6). What is the fourth smallest value in -2\/13, x, 2\/13, -1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/3, 118\/5, 943?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, u: 2, i: 2, g: 8}. What is prob of sequence guh?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -2 - (45 + -42)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 2 + 13. Let p(q) = q**3 + 3*q**2 + 4*q + 3. Is p(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 s, and 1 h when three letters picked without replacement from {x: 2, i: 2, t: 4, h: 1, p: 3, s: 3}.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3\/43 (b) -0.5 (c) 66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 2:26 AM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.03, -11, -1?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/5*x**2 + 132\/5 - 263\/5*x = 0.\nAnswer: -132, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 10*a = -32. Let t(y) = -15 + a - y + y - y**3. What is t(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4272631 (base 8) to base 10.\nAnswer: 1144217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 107405 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*k**2 - 6*k**2 - 14*k**2.\nAnswer: -43*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in -1\/8, -5, 4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, x: 2, a: 1, e: 2, b: 3, q: 3}. What is prob of picking 1 b and 1 e?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 1:52 AM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l**3 - 20*l**2 + 3*l**3 + 8*l**2 + 2*l + 10*l**2 as h*l**2 + c + a*l**3 + w*l and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26585 is divided by 313.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 45580 = 142*p - 137*p, -2*u - 2*p = 91184. What is u rounded to the nearest one thousand?\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 44536*l**3 + 2*l**2 - 4*l + 5. Is p(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11.09 + 0.09. Let h = b + 11.4. Let z = -440\/7 + 63. Put h, z, -1 in descending order.\nAnswer: h, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -554998.\nAnswer: -2774990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.062 + -0.0346. Round y to 3 decimal places.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a + 5*a - 1192631*a**2.\nAnswer: -1192631*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 18*w**2 + 19*w + 3. Let f be h(-19). Which is the nearest to 8? (a) f (b) 0.2 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.44529 - 0.453. What is t rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2810250 and 68200?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-36 + (9 - (-25 - -27)))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 2 - -1)*-23. Let v(g) = -g**3 + 7*g**2 + 33*g - 1. Let k be v(10). Let w = m + k. Calculate the smallest common multiple of w and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -a. Let y(o) = o**3 + 5*o**2 - 7*o - 5. Let j be y(-6). Which is smaller: a or j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 62*m - 825. Let q be d(20). Solve q = -7*l + 36 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 13*h + 33. Let j be z(15). Sort 1, 7, 2, j in descending order.\nAnswer: 7, j, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 6:40 PM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (6\/(-4))\/(6\/(-12)) and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.424 - 0.424. Which is the biggest value? (a) g (b) -1 (c) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*w. Suppose 0*b + 3 = b - 2*s, -4*b - 3*s = -23. Solve -b*v - 17 - 3 = w for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206437*u - 495*u**3 - 206430*u + 412867*u.\nAnswer: -495*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1401, -1471, -1533, -1587?\n\"Answer: 4*i**2 - 82*i - 1323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r - 21. Let c be h(0). Let w = c - -35. Calculate the least common multiple of w and (-1)\/1 + (0 - -3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254.5055 hours in milliseconds?\nAnswer: 916219800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1371 a factor of 104788272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 101667 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*a)*(3*a - 27478*a**3 - 112127579 - 3*a + 112127581).\nAnswer: -54956*a**4 + 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29.2 - 35. Let t = v + 5. What is the closest to 1\/4 in -0.3, 2, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uemqquqmmmmm. Give prob of sequence uem.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 699181\nAnswer: -699181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + o + 3*z - 23, 2*o - 14 = -2*z. Let b = o + 2. Factor f**5 - 2*f**b + 2 - 2.\nAnswer: f**4*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -91*r**4 + 1067*r?\nAnswer: -1092*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 z when four letters picked without replacement from {z: 6, q: 1, u: 3, v: 5}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 4.08. Which is smaller: i or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 25 = 6*h. Let i = -8 - -4. Let k = i - -7. What is the second smallest value in 0, k, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 21 = -2*o, -o - 4*s - 8 = 9. Suppose -2*m + 24 = o*r + 6, 0 = 5*r - 20. Suppose m*h - 156 = -3*h. Solve -h = 5*z - 4*k, -2*z - 2*z = 2*k for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*c = 2, 0 = -3*c + 3 - 0. Let a be (12 - 3) + (q - -1). Is 325\/(-10)*(-12)\/a a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -264 in increasing order.\nAnswer: -264, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -99 + 174. Does 25 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 0.2, -3, -0.3, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -156*o**2 + 6055*o wrt o.\nAnswer: -312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 15 (b) 125 (c) -0.3 (d) 0.4 (e) 6\/5 (f) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -20, -50, -92?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 9311, 3 in decreasing order.\nAnswer: 9311, 3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -1232*p + 2466. Determine f(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4841, 4826, 4797, 4754, 4697?\n\"Answer: -7*c**2 + 6*c + 4842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1966, 8507, 19454, 34801, 54542, 78671?\n\"Answer: -o**3 + 2209*o**2 - 79*o - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2\/1667, 169 in descending order.\nAnswer: 169, 2\/1667, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 4:22 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of 41*o**5\/60 - 9*o**4\/4 + 166*o**3\/3 - 280*o**2. Does 14 divide f(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**6*t)\/t)\/(t**(-5)\/t) assuming t is positive.\nAnswer: t**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1355180569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/7 (b) -12 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**4 - 1826*s**3 + 9196*s**2 + 14664*s - 22032 = 0.\nAnswer: -918, -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.131 + -3.231. Which is the closest to 2.3? (a) 2 (b) 2\/13 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5724\/89041 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*w + 43*w + 96*w + 122*w.\nAnswer: 197*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-378)\/486)\/(14\/(-24)). Let x = -2.9 - -3. Suppose 5*v + 1 = -4. Sort g, v, x in decreasing order.\nAnswer: g, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 7, d: 4}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 2*v + 176, -4*v - 436 = -5*t - v. List the prime factors of t + (-2)\/4*-4.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 98761.35t?\nAnswer: 98761350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**14))**24 assuming k is positive.\nAnswer: k**(-336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 2*x - 472 = -2*s, -8*x - 66 = -2*s + 32*x - 34 for s.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-152)\/1870 + (-872)\/23980.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7713 + 12641.6. What is x rounded to the nearest 10?\nAnswer: 4930","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -5 - ((5 - 3) + -5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -583 less than 36711416432?\nAnswer: 36711417015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 2*n - 22, -13*n = 4*u - 17*n - 44 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 m when two letters picked without replacement from azmatjf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/15188556 and -83\/276?\nAnswer: 15188556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is c5 (base 14) in base 11?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3719185357 - -77902?\nAnswer: -3719107455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 9*w - 14*w - 23801 = 0, h - 11908 = 4*w. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 207*x**2 + 92*x - 23. Let w(a) = 46*a**2 + 20*a - 5. Let y(o) = -5*u(o) + 23*w(o). Let t(m) = -2*m**2. Give y(t(g)).\nAnswer: 92*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -16039.\nAnswer: -64156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)*1*-4)\/sqrt(12) + 1.\nAnswer: -4*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 5*i - 4. Let q(k) = k + 1. Let x(a) = -c(a) + 4*q(a). Let p be x(4). Suppose 0 = -p*y - y - 10. Sort -3, y, 0.1.\nAnswer: -3, y, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + -126\/5. Let t = -7 - -6.7. Let n = 1.2 - 0.2. What is the nearest to n in t, x, -1\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-57 - -5) + (11 + -17 + 8 - -7)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a millimeter in micrometers?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-772)\/(-1 - -5) + -5)*-1 and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1166 = 228*i + 430 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, r: 1, d: 10, f: 1}. Give prob of picking 1 f and 1 d.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 14 - ((72 + 63 - (-3 + 24)) + -18)\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 151468284193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 12:54 AM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 2. Suppose 3*m + u = 4*m. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-35)\/(-25)*30\/(-6) - -50. Solve -33*a + m*a = -30 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 11*i + 640. List the prime factors of z(-46).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1236186181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from xqx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-40)\/v)\/(v**(5\/7)*v)*(v**(11\/5))**(-42))**30 assuming v is positive.\nAnswer: v**(-28374\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1 - 1 - (-25)\/40 and -95\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -166 - -192. Is 21 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49.4 - -496.4. Let f = d + -447.8. Which is the third biggest value? (a) f (b) 5\/4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2165939 by -19871.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 160170 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2056 divided by -514.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*14996\/1 - 4. Round g to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(180) - (sqrt(180) + -2 + sqrt(180)) - (sqrt(245) + 0)) - (-4*-1*sqrt(40))\/(-6*(sqrt(8) + sqrt(128) - sqrt(8))))**2.\nAnswer: -620*sqrt(5)\/3 + 120701\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 29381, 29370, 29323, 29222, 29049, 28786?\n\"Answer: -3*v**3 + 10*v + 29374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - -1)\/(11*6\/(-12)). Let w = 0.1 + -1.1. Which is smaller: s or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-10)*-5 - (-14)\/21.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 30 + -23?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (35 - -3)) + 125\/(22 + 3)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 201 - 281. Let z = 75 + i. What is the nearest to -0.1 in 29, z, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.8713843kg?\nAnswer: 871384.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 3 (c) -113 (d) 0.32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -162 + 170. Suppose 10*r - o = 9*r + 11, -r = -4*o - j. Calculate the greatest common factor of r and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 251053 - -1231?\nAnswer: 252324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 56730418093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38 and 513?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 10*f - 1020 = -100*f. Which is the second smallest value? (a) f (b) -0.4 (c) -0.3 (d) -222 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002661702078 rounded to 6 decimal places?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = g + 9. Suppose -5*p - g*q + 109 = -4*q, 0 = p - 2*q - 20. Calculate the greatest common divisor of p and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 h, and 1 j when three letters picked without replacement from mjojaoojhjjg?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 30344113 (base 5) to base 9\nAnswer: 415463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - -44. Solve 7*r = 2*r + d for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 888*t**2 - 1777*t**2 + 887*t**2. Let k(c) = -4*c**2 + 4*c**2 + c**2. Determine k(i(n)).\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i + 120 = -10*i. Calculate the highest common factor of i and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51665579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -383 + 721\/2. Let z = -120\/353 + 28159\/58951. Let i = z + 11719\/1002. Find the common denominator of i and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 7*g - 15 + 18 - g**2 + 11*g - 8*g. Calculate the least common multiple of l(8) and 1.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + 2*sqrt(88)*2)\/sqrt(8) + sqrt(99)*-1 + -5)**2*4.\nAnswer: -80*sqrt(11) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -11, 1, 0, 48 in increasing order.\nAnswer: -11, -1, 0, 1, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 r when two letters picked without replacement from {i: 1, y: 1, q: 1, v: 1, r: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11319.95826 + -11309.95825997. Let v = 10 - q. What is v rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**2. Let f(n) = 247*n**2 - 39*n. Let s(w) = 5*w + 13*w**2 - 7*w - 3 + 3. Let j(t) = -2*f(t) + 39*s(t). What is x(j(h))?\nAnswer: -338*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -4, 661 in decreasing order.\nAnswer: 661, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/sqrt(9)*1 - ((3*sqrt(2016) - sqrt(2016) - sqrt(2016)) + sqrt(14)))\/(sqrt(1960)\/sqrt(5)*-6).\nAnswer: sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -2679*x + 2656*x. Put 3, -7, 4, x in descending order.\nAnswer: 4, 3, x, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (57\/1069434)\/((-3)\/100046). Let i = 1\/3127 - s. Find the common denominator of (-147)\/(-3)*(-2)\/(-18) and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36d (base 16) to base 12.\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3007893385?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 75233169 to the power of 1\/2, to the nearest integer?\nAnswer: 8674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 7) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(18\/(-2)))\/(1\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -4*d + 1, 2*r = 1 - 3. Let g be 3*(d - 3)\/28. Which is the nearest to 2? (a) -4 (b) -8 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**4\/5 + 1222*j**3\/5 + 1255122*j**2\/5 + 42516738*j = 0.\nAnswer: -297, 0, 1205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 1 - 1)*(-3 + 1 + 0) + 755 + 1307 + 68)*(0*o + 0*o - 3*o).\nAnswer: -6378*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21489 + 16491 = 102*v for v.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -4*m**2 + m + 149. Let x(s) = -5*s**2 + 2*s + 190. Let u(y) = 4*v(y) - 3*x(y). What is u(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 6*g - 3. Let k be h(-7). Let i be (3 - k*-1) + -2. Sort i, 3, -5.\nAnswer: -5, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.4, 0.5, -532, -1\/4, 9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 301671, 301393, 301117, 300843, 300571, 300301?\n\"Answer: p**2 - 281*p + 301951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**4 - 8838*l**3 - 19518721*l**2 + 39063960*l - 19536400 = 0.\nAnswer: -4420, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 - 29. Let d be f\/2*(-1 - -1). Find the third derivative of d*r**2 - 8*r**2 + 10*r**2 + 4*r**4 + 6*r**4 wrt r.\nAnswer: 240*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160541 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1417 to 2 decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*p = 73*p - 544. Let a = p + -66. Solve m + 26 = 5*n, 0 = -3*m - a*n + 1 + 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6689813716 and 0.1.\nAnswer: -6689813715.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 811, 7599, 18913, 34753, 55119, 80011, 109429?\n\"Answer: 2263*m**2 - m - 1451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51 + 56. Solve 0 = y + 2 - q for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 9:34 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.053488 + 0.05348992698. Round v to 7 decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 - 254?\nAnswer: -263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 60*r**2 + 163*r - 143. Is 63 a factor of h(58)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1414, -5, 5, -4, -1, -2, -71 in decreasing order.\nAnswer: 5, -1, -2, -4, -5, -71, -1414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 d when two letters picked without replacement from {d: 1, n: 1, e: 1, s: 1, q: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 3*l - 17, -2*g - 12*l + 14 = -13*l. Solve j = 3*h + h + 3, -4*j + g*h - 10 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 94609 to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 = -r + 6*r + 7*b, 0 = 2*r + 1655*b - 1652*b - 33 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -4\/3, -5\/7, 0.5, -0.97, -12?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -12 + 0 + -66 + -18 + 10\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*u + 192 = 0, 0 = -3*x - 3*u + 501 + 30. Suppose x = -f - f. Let b = -57 - f. List the prime factors of b.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 41088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -705*q**5 + 81*q**2 - 2 wrt q?\nAnswer: -42300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 0*q + 30 = 0. Let y be (-81)\/q + 1*(-3)\/(-5). Is 2\/y*-2*2148\/(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 9.00000024. Round n to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 544 or 542?\nAnswer: 542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1037215 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1822 - 1362 + 4573)*(0*f**2 + 0*f**2 - 2*f + f**2).\nAnswer: 5033*f**2 - 10066*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15327 and 299?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 12:54 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -388\/27 greater than -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 4*c**2 - 5*c + 2. Let s be f(5). Let u(p) = 10*p + 5*p - 2*p + 1 + s. Is u(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 832 (base 15) in base 2?\nAnswer: 11100110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5170 (base 8) to base 4.\nAnswer: 221320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2283.037 - -2287. Let f = -0.037 - r. Let n = -19 + 16. Sort 0.5, n, f in descending order.\nAnswer: 0.5, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-142)\/66 - 1\/(-3). Let v = l - -69\/44. Suppose 2*y = -g - 4, 4*g + 5 = 2*y - 1. Do v and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -7) + -12 - (-3 + 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5451237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(104) - (sqrt(104) - -1*sqrt(104)*4 - sqrt(104)) - 5*2*sqrt(104))*-3)\/((sqrt(216)*3 - sqrt(24))\/(sqrt(432) - 2*sqrt(432))))**2.\nAnswer: 177957\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 + 3 + 6 + -15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + -6 + 2 + 1. Let s = -2 + 2.5. Which is the nearest to -1? (a) f (b) s (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 21*t - 1. Let y = -8 - -10. Let l(c) = -4652 - c + 4652 + y*c. What is u(l(m))?\nAnswer: 21*m - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1113333 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of 76*m**5 - 96*m**2 + 474. Find the second derivative of c(d) wrt d.\nAnswer: 4560*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70 + (-248 - -186) - (-11 - 0)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kkkkkkkkkkkkkjkkkkk?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {x: 2, z: 8}.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/115 + 48\/23. Let n(c) = 5*c**2 + c - 2. Let o(z) = -26*z**2 - 6*z + 11. Give r*o(s) + 11*n(s).\nAnswer: 3*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 1480 = 341*q, -2*x + 3*q = x - 2*q + 160 for x.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 17. Let l(w) = -9 - 5*w**2 - 3*w**3 + 3 - 6*w + g*w**3 + 0*w**3. Let p be l(-4). Solve 2*s - 12 = -p*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 8, 123, 5.\nAnswer: -5, 5, 8, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -105 + 105. Let l be ((-6)\/5 + p)*10\/(-4). Suppose 0 = 3*h - 5*f - 153, l*h - 210 + 39 = -f. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2140.\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 - -28. Let u = 1.6 - q. What is u rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of -62*(2\/(-4) + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4 - 15*l**3 - 16*l**2.\nAnswer: l**2*(l - 16)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -664.28199 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 30065 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 48344, -21\/16, 1\/7 in decreasing order.\nAnswer: 48344, 1, 1\/7, -21\/16, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -113*p**2 - 18*p + 7. Let n(s) = 226*s**2 + 36*s - 15. Let z(r) = 13*a(r) + 6*n(r). Find the second derivative of z(v) wrt v.\nAnswer: -226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -147945 * -1.649\nAnswer: 243961.305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/9 of a week in minutes?\nAnswer: 15680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 229000 to the nearest ten thousand.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 690180833.\nAnswer: 19, 571, 63617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 149, 625, 1425, 2555, 4021?\nAnswer: 5829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 160.07 - 243.66. Round g to the nearest integer.\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, z: 1, w: 5}. What is prob of picking 2 k?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 37*u**2 + u - 39. Determine g(37).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1))**(-3)\/(x**(-9)\/(x\/x**16)) assuming x is positive.\nAnswer: x**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) 0.07 (c) 40 (d) 624\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1173225587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2284*a**2 + 130185*a - 172. Calculate y(-57).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3)*p)\/(p*p\/p**(2\/7))*(p*p\/(p\/(p\/p**1)))**18)\/((p**(-1))**(-35))**(-28) assuming p is positive.\nAnswer: p**(6960\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 8 - j**3 + 4*j**2 - 9*j**2 + (-j - 3*j**2 + j)*(j + 0*j - 3*j) as t*j**2 + s*j**3 + o*j + z and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 325.5 - 326. Sort 13, 8, o, -4 in decreasing order.\nAnswer: 13, 8, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -33*q + 75. Let v be u(2). Suppose -301 - 49 = 2*z. Let f = -76 - z. Calculate the highest common divisor of v and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 424*b - 130212*b**2 - 424*b + 417741*b**2.\nAnswer: 287529*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) -5 (c) -18\/11 (d) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4857, -4864, -4871, -4878, -4885?\n\"Answer: -7*r - 4850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 0*n = -5*t + 35, t + 4*n + 18 = 0. Let f be t*(-3)\/(-6) - 3. Let z be (f + 6 + 0)*2. Solve z = -5*i - 7 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 9*g - 4. Let l be v(8). Let a(p) = p**2 - p - 3. Let q be a(l). Let x = q - -8. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y + 3. Let n be f(2). Suppose 3*i + k + n = 0, -8*i + 4*i = 2*k + 6. Let v = 1 - 2. Which is smaller: i or v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*g**2 - 1100*g**3 - 1105*g**3 - 1 + g + 2204*g**3 in the form r*g**3 + p*g + y*g**2 + z and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2311 + 3.\nAnswer: 3.2311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.682 + -0.582. What is the closest to 1 in 0.4, 22, b, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 3:55 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zxyzyyaxxy. What is prob of sequence xay?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - j**2 - 2*j. Let s(v) = -19*v**3 - 10*v**2 + 10*v. What is -5*k(m) - s(m)?\nAnswer: 14*m**3 + 15*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -124 or -1017?\nAnswer: -1017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) 0.2 (c) -41\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 at most as big as -95557?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -31*d**3 + d**2 + d + 6. Let z be j(-2). Let r be z\/44 - (-10)\/55. Let m be ((-1)\/2)\/(1\/(-10)). Which is greater: m or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 323547 and 33629.\nAnswer: 357176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -505 + 517. Suppose -2*j + o = 4 - z, -8 = -2*j + 5*o. Solve 6 = -j*g + 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 31*v - 87 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -110632 (base 7) to base 3\nAnswer: -222210011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 880.99 + -881. Which is the closest to -2\/5? (a) 2 (b) 6\/11 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y**2 - 1660*y + 4992. Calculate c(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1013120 divided by -202624\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9698030, 19396056, 29094082, 38792108, 48490134, 58188160?\nAnswer: 67886186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*l = -1583 + 443 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*l - 25*l = 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 9) in base 16?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/12 + (-118)\/(-8). Suppose -5*f = -5 + w. Does 17 divide (f - -73) + 0 + -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 6035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 5*g**2 + 4*g**2 - g**2. Let n(h) be the second derivative of 1\/12*h**4 + 1\/6*h**3 + 0 + 0*h**2 - 3*h. Give -k(a) - 2*n(a).\nAnswer: -a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 0*z + 1797. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 36*i**2 + 21*i - 68. Let r be o(31). Let g = r - -7955. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-15))\/(3*6\/(-60)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 9*o - 12, -2*n - 5*o + 2194 = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50535 is divided by 25264?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8 is divided by 46\/(-115) - 14\/(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -9*k - 24. What is n(9)?\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*h - 3*b, -3*b + 2*b + 6 = 3*h. Calculate the smallest common multiple of 4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 4*y**2 - 5*y + 2. Let m be (-9)\/(-12)*(-1 + 5). Let k = m - -2. Let r be b(k). Solve 0*n - 10 = -r*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -y - y. Suppose 41*g - 2*g = 156. Calculate the lowest common multiple of g and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w - 124 = -13*w. Let h = 2318 - w. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-16)\/(-3))\/4*3. Suppose -12 = -b*c + c. Suppose -36 = -c*v + v. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49 - -64. Suppose 0*h + 5*h - c = 0. Solve 7 = -v - 2*y, -h*v + 5*y = 2*v - 25 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99 and 342?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 330 and 1470?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 2:59 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1183260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*f + 8*f + 2*f + 4*f + f + 64 in the form w + d*f and give w.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82065481*r**2 - 1811800*r + 10000 = 0. Calculate r.\nAnswer: 100\/9059","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2231632 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10076019013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 821\/2476 + 13906063\/12380. Let -2\/5*s**2 - m + 212\/5*s = 0. What is s?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 170\/(-1104) - ((-240)\/16 - 1785\/(-120))\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1906*s**2 + 58*s**2 - 1145*s**2.\nAnswer: -2993*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g. Let o(l) be the third derivative of l**4\/6 + l**3\/2 + 576*l**2. Calculate -6*i(y) + 2*o(y).\nAnswer: 2*y + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 300\/125 + ((-36)\/(-5))\/2 + -4. Let c be (-11)\/15 - 4\/(-12). What is the closest to -0.1 in c, 1\/50, j?\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1759060.\nAnswer: 2, 5, 281, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + (1 - -1107) - -4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*a**2*r**2 - 2*a**2*r - a*r - 88*r**2 wrt a?\nAnswer: 32*r**2 - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3964 and 27.\nAnswer: 107028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 7 + 12 - 16. Let d(n) = -n - 8. Calculate -4*d(g) - 11*q(g).\nAnswer: 4*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 7:10 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 108316 and 0.3.\nAnswer: 108316.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.22 + -162.22. Let l = -167 - g. Sort l, 0.09, -2\/19 in decreasing order.\nAnswer: 0.09, -2\/19, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 73 + -112. Let y = w + 38.958. Round y to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 18797, 22083, 25357, 28619?\n\"Answer: -6*z**2 + 3304*z + 15499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeefeeefeefgeeeeeeee. Give prob of picking 2 e and 1 g.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3968911?\nAnswer: 29, 136859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 113 + d - 339 + 115 + 112 + 41*d**2 - 2*d as u*d + r*d**2 + o and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a century in months?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2579*g**2 - 1. Let a(n) = 2*n. What is i(a(c))?\nAnswer: -10316*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 11*t - 26. Calculate the remainder when d(10) is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14 + 450?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -5*m + 345, -2*m - 3*x + 117 = -12. What is the lowest common multiple of m and 416?\nAnswer: 3744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3265849 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7\/3, 1\/4, 2\/3, 1\/8, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*o - 96*o = 5066. Calculate the greatest common divisor of o and 298.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81167068 to the power of 1\/3, to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4812 <= 4721?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vbvv when four letters picked without replacement from {v: 3, b: 15}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7655 to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -169599 and 0.3.\nAnswer: -50879.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13385280 is divided by 163235?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 11*t - 6*t - 5 + 0. Let f(m) = -14*m + 14. Suppose 4*n - 2*l = 70, n - 6666*l = -6670*l - 41. Let b = -5 + 9. Determine b*f(a) + n*p(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1372 or 211?\nAnswer: 1372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.911 and 0.5.\nAnswer: 2.411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 794250742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -101*z - 300. Let y be n(-3). Let r(g) = 3*g - 14. Calculate r(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/10*(54\/(-3))\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3541017, 3541020, 3541023, 3541026, 3541029, 3541032?\n\"Answer: 3*m + 3541014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15096 + -5419. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*i = 33*i + 94. Suppose -p - p = -2*g - 76, -2*g - 81 = 3*p. Let d = g - i. Is d a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 350295 or 350319?\nAnswer: 350319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/9719 or 409\/4?\nAnswer: 409\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -4342201?\nAnswer: 4342142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13450?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 468 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -7*w - 6. Let y(p) = -15*p - 13. Suppose r - 3*f + 215 = 0, -5*r - 5*f - 449 = 686. Let i be (-4)\/18 - r\/36. Give i*y(u) - 13*a(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -11?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of c**7\/1470 - 2*c**3\/3 - 10*c. Let q(r) be the second derivative of f(r). Factor q(p).\nAnswer: 4*p**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, o: 2, p: 3, i: 1, c: 5, f: 1}. Give prob of picking 1 f, 1 k, and 1 c.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5414988 to the power of 1\/2, to the nearest integer?\nAnswer: 2327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15610 is divided by 1950.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 5516*o + 194286. Determine n(35).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0292 times -8?\nAnswer: -0.2336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-58)\/138 + 2\/6. Sort q, 5, 2\/27.\nAnswer: q, 2\/27, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -343\/3, -1\/3, -0.6, 21 in descending order.\nAnswer: 21, -1\/3, -0.6, -343\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10178 + 10182. Let k = 5.3 + -5. Let m = 0 + -4\/5. What is the biggest value in m, k, 7\/5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9857.9999984076 - 9858. Round w to 7 decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-288)\/112 - 3\/(-1)) + (-19884)\/63840 and 47\/95.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -63770 (b) 1\/3 (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010623 to three dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.04372578 + -1.\nAnswer: 1.04372578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 62 + -42. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 816 is divided by 767?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 6:52 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*s**2 - 4*s**2 - 6*s**2 - s**2 - 3*s**2 - 38*s**2.\nAnswer: -37*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 5*a**5 - 25*a**4 + 15*a**3 + 85*a**2 - 140*a + 60 = 0.\nAnswer: -2, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - x - 1. Let h(m) = -9*m**2 - 2*m - 1. Let j(o) = 2*g(o) - h(o). Differentiate j(u) with respect to u.\nAnswer: 14*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 85 + -12?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*s, 5*k + 7 = 7*k + 3*s. Let r be 3332\/70 - (-4)\/10. Let z = r - 44. Put 3, k, -6, z in descending order.\nAnswer: k, z, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/33 and 16\/(-36)*(-210)\/256*-2.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39168 and 4608.\nAnswer: 78336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rsqbqsu. What is prob of sequence us?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2 - 2. Suppose -5*f + m = -135, 20*f - 3*m = 8*f + 324. Solve p = -31*b + f*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46408 and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 1842*c - 34650. Give b(19).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1604.7 - 4257060.89\nAnswer: -4258665.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 8 = -4*j + 2*q, 4*j - 4*q - 4 = 0. Suppose 0 = 3*s - j*t + 6, -s - t + 0 + 6 = 0. Is s a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58 - 55. Let u(z) = 6*z**2 - 1. Let t be u(1). Suppose -t*o + 32 = -4*x, -w*x + 4*x + o = 1. Sort 0, 1, x in decreasing order.\nAnswer: 1, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 118 - 130. Let q be ((-544)\/n)\/(-4) + (-12)\/18. Let i be (-3)\/(6\/(-4))*q\/(-8). Calculate the highest common divisor of i and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-756)\/(-10)*(-15500)\/(-465)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 38 - 3454*i + 3465*i - 2*i**2 + i**2. Give x(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -500 divided by 100.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.07 + 0.93. Let i = -57.94 - -58. Which is bigger: c or i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**3 - 10*m**2 + 6*m + 12. Let q be b(7). Suppose -4*j = -5*u - q, u - 58 = -4*j + 3*j. Let v = -36 + j. Is v a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 33\/5 - (-12)\/30. Suppose -s - l = -u + 1, 4*s = 2*u - 6. Suppose -4*y + 227 = -u. What is y rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57 - 57.043. Let r = k - -0.04300125. Round r to seven dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2058685*w**5 + 1188163*w**2.\nAnswer: -123521100*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1*(-1676)\/(-832) - 9\/30*-5 and -21\/52.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 6:59 PM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57349, 114696, 172043, 229390, 286737, 344084?\nAnswer: 401431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**3 - 767818*d**2 - 6910508*d - 6142688 = 0. What is d?\nAnswer: -8, -1, 383918","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 12*m**2 + 6*m - 74. Give b(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -120 - -380. Let f be k\/(-36) - 4\/(-18). Let b = 1 - f. Solve -2*r - 2*r + b = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*a**2*n**2 + 2*a**2 - 2*n**2 - 23*n wrt n.\nAnswer: 10*a**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 8:36 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 135.6 or 151.99?\nAnswer: 151.99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 3:28 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence atat when four letters picked without replacement from {a: 6, k: 1, i: 7, j: 3, t: 2}?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13375640?\nAnswer: 2, 5, 127, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18220 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wzkaakaakz. What is prob of picking 1 k, 1 a, and 1 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9598337627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90)\/(-135)*51\/136*(-8)\/62.\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -153 + 272. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -426, -853, -1280?\nAnswer: -1707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 30 + 2 + -1 + -2 + -4 - 8\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3 + 57*p**2 - 132*p - 192.\nAnswer: -3*(p - 16)*(p - 4)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6.63, -0.1, -1, -4\/9, 2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -46*a**3 - 5*a**2 - 345*a + 4. Determine i(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 81\/7*d - 3\/7*d**2 - 150\/7 = 0.\nAnswer: 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.0017, 0.1, 2\/13, -1, 1\/6, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30409104 and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 55, 4, 1 in increasing order.\nAnswer: -45, 1, 4, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of t**5\/20 + 16*t**3\/3 - 37*t**2. Differentiate a(d) wrt d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(((-1)\/(-3))\/((-1)\/12*4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**5*d)\/((d**(1\/4)*d)\/d))\/(d**(-1\/6)*d*d*d**(-2)*d)*(d\/((d**0\/d)\/d)*(d*d*d*d**(1\/5)\/d*d)\/d*d*d)\/(d**(-1))**39 assuming d is positive.\nAnswer: d**(3067\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326540?\nAnswer: 2, 5, 29, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 7:26 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 493 is divided by 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*i**3 + 0 + (-4*i**2 + 4*i**2 - 2*i**2)*(i - 2*i + 3*i) + (-2*i**2 + 3 - 3)*(-3 - i + 3).\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**2 - 108*j. Let r(g) = g. Calculate r(a(n)).\nAnswer: -2*n**2 - 108*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 99348, 198648, 297970, 397326, 496728, 596188, 695718, 795330?\n\"Answer: 2*l**3 - l**2 + 99289*l + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*u - 13, -4 = -4*u + 5*j - 3*j. Suppose w - 1 = 3. Let b(h) = -h**2 + 7*h - 5. Calculate the least common multiple of b(w) and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -113502\/5 - -1013788\/45. Let q = h + 31433\/180. Find the common denominator of q and (-63)\/2 - (1 - 0).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -s**6\/120 - s**5\/60 + 4*s**3\/3 - 2*s**2. Let l be p(0). What is the lowest common multiple of 116\/l - (-2)\/(-4) and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4094 - 1929. Let s = z + -2187.42. Let i = s + 22. What is i rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352796?\nAnswer: 2, 89, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**2 + 34154*f - 291623929 = 0. Calculate f.\nAnswer: 17077","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 111?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 118 + -98. Let u = 41\/2 - w. Let m = 3 - -5. What is the nearest to m in -3\/4, u, 1\/6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -75*n*x - 207*n + 53*x + 11 with respect to x.\nAnswer: -75*n + 53","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u**2 + 728. Let q(z) = 3*z**2. What is d(q(f))?\nAnswer: 27*f**4 + 728","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 7*v + 7. Let f be ((-15)\/6)\/(2\/4). Let x be 2\/2*30\/f. Let n be d(x). Do n and 2\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 295?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 226 + 94 = 0. Let m be n\/12*6\/4. Suppose 10*l = 8*l + m. Solve -19 = 2*v - 3*u, v + l*u - 10 = -0*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*w**2 - 2*w**3 - 3*w**2)*(0 - 1 + 2) - 177*w**3 - 9906*w + 9906*w + 0*w + 3*w**3 + 0*w in the form s*w + f*w**3 + u*w**2 + j and give f.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2932762 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a469b + -5?\nAnswer: -1a46a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 0. Let c(p) = -p - f*p**2 + p. Let n(t) = -4 + t + 8 - 4. Give c(n(y)).\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 7:10 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 85 - -43. Suppose 126*d - y*d = 0. Solve s + 1 - 6 = d for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*d + 64 = 130*d for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z**2 + 2*z - 14. Calculate the remainder when 27 is divided by x(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6228 is divided by 3067?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27998, 55984, 83970, 111956, 139942, 167928?\nAnswer: 195914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a milligram in micrograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19114397 and 1696?\nAnswer: 611660704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-1 + -10 - (39 - (-31 - -122)))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = q + 2. Let z(d) = -2*d - 5. Let g(t) = -3*t - 9. Let o = 8 + -5. Give o*g(f) + q*z(f).\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 4*j + 1. Let h be w(-4). Let r(y) = 5*y**2 - 1. Let z be r(h). Solve 0*a = -2*a + z for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 12:11 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 20. Let k = -2 + p. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 42*b - 180 + 40*b - 14*b**2 - 22*b + 9*b**2.\nAnswer: -5*(b - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -9436, -2, -4, -7 in increasing order.\nAnswer: -9436, -7, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 7*x**3\/30 + x**2\/4 - x\/5 + 26. Factor l(c).\nAnswer: (c + 1)*(7*c - 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1184 is divided by 196?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 7*s. Let t(l) = 3*l - 2. Let o be 1 - ((-6)\/8)\/(2\/(-8)). Let f(d) = 2*d - 3. Let a(y) = o*f(y) + 3*t(y). Give a(b(g)).\nAnswer: 35*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -269 (base 10) to base 9\nAnswer: -328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjvjjjjvvjjvvj. What is prob of sequence jvj?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 949*s**4 - 2*s + 1048 wrt s.\nAnswer: 3796*s**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5698910 + 2393658. Let w = -1765252 - p. Round w to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txqdxfvqqfvfxqq. What is prob of picking 1 t and 1 d?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30.3 - 30.30000314. Round t to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11881661, -11881637, -11881613, -11881589, -11881565, -11881541?\nAnswer: -11881517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6071, 6081, 6085, 6077, 6051?\nAnswer: 6001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 11220?\nAnswer: 11210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1309 >= 1308?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4*k**3 - 47*k**2 + 21*k + 109. Let p be r(-12). Solve 23*q + 139 = p for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/(s*s\/(s*s**3)*s*s)*s))**(-39\/2))**(10\/19))**(8\/5) assuming s is positive.\nAnswer: s**(312\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 41 + -3848?\nAnswer: -3807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/3)\/(364\/312).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10043321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 487 - 195. Suppose t = o + 3*o. Calculate the remainder when o is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24? (a) -3 (b) -5 (c) 3 (d) -4 (e) 35\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/21)\/((-272)\/(-3876))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 6. Suppose 0 = -2*g + 4*g - 8. Suppose 3*k - 137 + 53 = v, g*k = -3*v + 112. Calculate the remainder when k is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 + 0.032.\nAnswer: -6.968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**5\/5 - 4*w**4 + 6*w**3\/5 + 56*w**2\/5 - 8*w = 0.\nAnswer: -10, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1425\/24 + 1 - 12\/32. Suppose 0 = -2*l - 2*l - n + j, n + 20 = l. What is the closest to -1\/4 in -0.3, l, -5, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3611 - -2515. Which is smaller: -1097 or o?\nAnswer: -1097","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 + 5 + 3)*(134*u - 2 - 11 + 12 + 447*u) in the form q + s*u and give s.\nAnswer: 9877","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-23)*(3384\/108 + -29)\/(7\/(-6)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 0*t - 128. Let g = t - -52. What is the remainder when g is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 12) to base 3\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of -5\/36*m**4 + 1\/63*m**7 - 1\/504*m**8 + 1\/9*m**3 + m**2 + 0 + 1\/9*m**5 - 1\/18*m**6 + 0*m. Factor n(w).\nAnswer: -2*(w - 1)**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 200*z + 4278. Determine t(-22).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-13))\/(4 + -6)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -1 + 7 - f**3 + 5. Suppose 0 = 4*m + 2*u + 13 - 5, 3*m - 8 = 2*u. What is the tens digit of g(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 r when two letters picked without replacement from ffffffffrffffffrffrf.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -731*k**2 - 14248.\nAnswer: -1462*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -5*t**3 + 4*t**2 - 7*t + 5. Let c be (((-108)\/(-15))\/(-6))\/((-3)\/5). Give r(c).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -21*g**4 - 2337*g**3 - 7470*g**2 - 1944*g = 0.\nAnswer: -108, -3, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -90*f. Let d = 63 + 29. Let w(o) = d*o - 4 - 93*o + 4. What is w(z(h))?\nAnswer: 90*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*y + 66 + 1286 = -116*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 905808261 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6758 - 1620 = -2*v. Let x = v + 7269. Suppose 2*b - b = -x. What is b rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**2 - r - 2. Let w be m(-1). Suppose 0 = -3*u + w*u. Sort 5, 0.3, u in increasing order.\nAnswer: u, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a micrometer in nanometers?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3 + 26390*p**2 - 6290400*p + 376560000.\nAnswer: -(p - 26150)*(p - 120)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**4 - 469672*u**3 - 18380926512*u**2 - 239693370801560*u + 2638851796117108.\nAnswer: -4*(u - 11)*(u + 39143)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12388 + 12396. Suppose 0*s = -s. Suppose -2*d - 4 = -s*d. Put -1, -5, d, b in ascending order.\nAnswer: -5, d, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 54*c - 113 - 373 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppqqqpqqpqqpppqppq. What is prob of sequence qqqp?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 3*t + 14. What is the highest common factor of 13 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 397710 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 151 (b) -26 (c) 9\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -79 - -82. Suppose r*k - 422 - 298 = 0. Does 32 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - (-1)\/(-2)*-2. Let v be (f - -93) + 1 + 0. Suppose -2*y + v = -17. What is the greatest common factor of 5 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 2*m + 10, 15*m = 4*g + 20*m - 19. Solve -4 = -w, -11 = 5*h + 2*w - g*w for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1218896081?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/5, 0, 0.5, 14, -3\/11, 7\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**5 - 2340*s**4 + 9324*s**3 - 9312*s**2.\nAnswer: 3*s**2*(s - 776)*(s - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 16*q + 15*q - 41*q + 12*q. Let t(x) = 16*x**2. What is t(p(r))?\nAnswer: 64*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6167 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -515523*h + 515562*h - 39 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3680\/(-69))\/8*228\/95.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51733 (base 8) to base 2.\nAnswer: -101001111011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 2\/7 (c) 6 (d) 154\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -13*s**2. Let t(n) = 2536743*n. What is g(t(w))?\nAnswer: -83655845624637*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2025033667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + g + 100. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.0282 rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15888*k**2 - 6943054*k - 874 = 0 for k.\nAnswer: -1\/7944, 437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -549.294 + 250.2685. Let b = -299 - u. What is b rounded to three dps?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4089 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -9*j**2. Let i(q) be the first derivative of -2*q**3\/3 - 5. What is v(i(a))?\nAnswer: -36*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 70*j - 67. Let n be a(6). Suppose 0 = -2*q - n + 1217. Is q a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69558, -266478, -594678, -1054158, -1644918?\nAnswer: -2366958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -4*g**2. Let f(m) be the third derivative of -7*m**4\/24 + 2*m**2. What is f(j(v))?\nAnswer: 28*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 4 - 6. Let u be ((-3)\/l)\/((-6)\/8). Find the first derivative of -8*o - 2*o**2 + 8*o + 3 + o**u wrt o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 576.878 litres to millilitres.\nAnswer: 576878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 131 - -334. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*l - 17*l + 68*l - 25*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50 + -74. Suppose -m + 1 = 2. Does 11 divide (9\/12)\/(m\/a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2 = 0, 3*b - 45 = 2*w + 62. What is the greatest common factor of b and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.3 + 7. Let q = -859\/2 + 416. Let v = q + 14. Sort 2, t, v.\nAnswer: t, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 + -2 + (75 - 4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*y - 68 - 85 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 466131 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -409, -26, -8, -3 in ascending order.\nAnswer: -409, -26, -8, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(3\/(9\/6)). Suppose v = 5*l + 2*a - 76, -2*l + 2*a - 7 + 29 = 0. Is l a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -159, -11, 4642?\nAnswer: -159","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 525464 and 1800?\nAnswer: 118229400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -129*m**4 + 1676*m**3 - 6566*m**2 + 8076*m + 63 = 0.\nAnswer: -1\/129, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((-6621)\/3309 - -2). Let h = j - -5497\/5. Let z = -34\/15 - h. What is the third smallest value in -0.5, 2\/7, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -3. Let b(w) = w**c + 3*w**3 - 3 + 3*w + w + 0*w**2. Is 13 a factor of b(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-12\/7)\/d*d)**20*(d**(-7))**(6\/19) assuming d is positive.\nAnswer: d**(-4854\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11947 is divided by 3706.\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -324, -194, 66, 522, 1240, 2286, 3726?\nAnswer: 5626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-21))\/(3 - (10 - 8)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 803 = -14*t. Which is greater: 71 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14a5de (base 15) in base 6?\nAnswer: 33211315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (-36)\/(-26)*-451. Suppose -1984 = 13*o + 6128. Let n = r + o. Does n = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 13*b + 13386 = 0. Let s = -1524 + b. Does 9 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-38)*(-4)\/(-12) - 2037\/(-399).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.8 + -10.8. Let o = -5 - k. Let r = 3.003 - o. What is r rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 1121 - 15*v - 2015 + 1119. Determine t(15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-64)\/5)\/((-1)\/(-35)). Let o = 889 + a. Suppose 311 = 3*p + 5*w, 5*p - 3*w - o = 32. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1*4)\/((-129)\/301))\/(8\/12)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 55 = 2*d. Calculate the remainder when d is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2180545 nanograms to kilograms.\nAnswer: 0.0000000000002180545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.34136 rounded to 0 decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -317 and 0.4?\nAnswer: -126.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - 7 - 2*s**4 - 2*s**2 - 35221*s**3 + 3*s + 35221*s**3 to the form h*s**2 + f*s**4 + m*s**3 + p*s + w and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 47?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 495036.8 millimeters?\nAnswer: 495036800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 8 = -2*a + 88, -5*l = 2*a - 69. What is the greatest common divisor of 28 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 223587 and 1470?\nAnswer: 2235870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-40 - 46 - 122)*(4*h**4 - 2*h**2 - 14*h**4 + 7*h**4) in the form l*h**3 + t*h**4 + b + z*h**2 + v*h and give t.\nAnswer: 624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sqqq when four letters picked without replacement from sqssqq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1230973, -1230958, -1230943?\n\"Answer: 15*l - 1230988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8464667?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g**2 - 3*g - 8*g**4 - 3*g**4 + 9*g**4 + g**2 in the form u*g**3 + y + p*g**2 + k*g**4 + j*g and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -2, 3, -2\/75?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o + 3. Suppose 3*p = -2*j + 3*j + 60, 0 = -3*p + 3*j + 60. Suppose -b - 19 = -3*n, -2*b - 2*b - 2*n - p = 0. Does 11 divide i(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362 is divided by 135?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 80*u**2 + 32260*u - 589. Determine c(144).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 415\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(3 + 49008\/(-16338)). What is the tens digit of i\/28 - (-5)\/(-20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1005?\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/4*7\/((-7)\/22). Let g = 11 - a. Solve 0 = -2*d - g + 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.3 (b) 76 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.5 - -2.1. Let g = 4.31 - o. What is g rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -129.4914 to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1636522 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 2*n - 5 = -3. Suppose 9*p + 2*a - 23 = 4*p, -p - 5*a + 23 = 0. Let o(h) = -3*h - p*h + 93 - 94. Determine o(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5*m + 12 = -18, -18 = -5*y - m. Suppose -2*v - 27 = -3*j - 5, -58 = -5*j - 2*v. What is the remainder when (-40)\/6*(-12)\/j is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 14) to base 9\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.4571 and 0.3.\nAnswer: 1.7571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k*k**(-15\/7))*k))\/((k\/(k*k**(-16))*k)\/k))\/(k\/k**(-3\/10)*k)**(-4\/5) assuming k is positive.\nAnswer: k**(-2853\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 2062 divide 2540384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*b + 19*b + 11*b + 17*b - 60*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -712\nAnswer: 142.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 489, 976, 1463, 1950, 2437?\n\"Answer: 487*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39*b**2*q*v*w**2 - b**2*q + 2*b**2*v*w**2 + 10*b*q*v + b*v*w - 14*q*w**2 - q*w wrt b?\nAnswer: -78*q*v*w**2 - 2*q + 4*v*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -107.481 + 34.475. Let b = 73 + i. Let n = b - -6.406. What is n rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 3 + 18. What is the third biggest value in -6, q, 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5414 - 0?\nAnswer: -5414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xxcxsss.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 - 16 + 41)*(0*p**4 + 3*p**4 - p**4) as u*p**2 + s*p**3 + x + v*p**4 + r*p and give v.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a minute in seconds?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 * 767\nAnswer: -38.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30269473 = -247*m + 10937274 - 34602721. What is m rounded to the nearest 1000?\nAnswer: -218000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -10*h**2 - 5*h + 5. Let i(x) = x**2 - x + 1. Give -10*i(y) + 2*z(y).\nAnswer: -30*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1756*3059.\nAnswer: 5371604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-6)*2\/(-4)*-15.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + a + 2. Let z = 10 + -7. Let p be s(z). Let w = -9 - -6. Is p at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 20124994*y**2 + y + 2. Let g be x(2). Let f be 2\/7 + g\/70. What is f rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 2*i - 1. Let x = 67 + -68. Let c be n(x). What is the nearest to -2\/3 in -3\/2, 1\/4, c?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15138.06 years in millennia?\nAnswer: 15.13806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -16. Let w(m) = m - 2. Let n be w(10). Suppose -5*f + 22 + n = -5*v, -z*v - 12 = 0. Solve 30 = -f*g - 5*a, 0*g + 13 = -5*g + 3*a for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4*o**2 + 4*o - 4. Let c(b) = b**3 + 9*b**2 + 9*b - 9. Let h = -4 - -2. Let g(y) = h*c(y) + 5*l(y). Factor g(k).\nAnswer: -2*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 12:36 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290*j + 61*j + 5698 = 289*j. Suppose -4*x = -7*x + 9. Suppose -v = -x*v + 5*o + 2, 4*v = -4*o + 32. What is the remainder when j is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 z, and 2 n when four letters picked without replacement from nzrjrrjrrnrr.\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -46\/3*r**2 - 2\/3*r**3 + 184\/3 + 8\/3*r.\nAnswer: -2*(r - 2)*(r + 2)*(r + 23)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 3. Suppose -4*t + b - 53 = 200, 2*b - 186 = o*t. Let m be t\/(-12) + 1\/(-3). Solve 5*n - 10 - m = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/353, 3, 2\/11 in decreasing order.\nAnswer: 3, 2\/11, 2\/353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 487 divide 10831343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*h + 38*h + 111802884 = 0. Let r = h + 19567628. Round r to the nearest one million.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 4*t = 7, -w + 59*t = 57*t - 5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 17*u**2 + 18*u + 2. Let s be k(18). Suppose -26*y = 5*l - 21*y - 325, -s*l + 2*y = -150. Calculate the smallest common multiple of 63 and l.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**5 - 163*j**2 - j**5 + 2*j**5 - 6*j**5 - j**5 wrt j?\nAnswer: -420*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-39)\/(-60) + (-4)\/10. Let u = 1601 + -1761.2. Let s = u - -165. Does s = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -4. Solve -s*y + 5 = -2*b, -2*y + 2 = -4*b + 2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -1. Let x(w) be the first derivative of w**3\/3 + 4*w**2 + 2*w - 7. What is -2*o(g) - x(g)?\nAnswer: -g**2 - 8*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -100 * 18.68\nAnswer: -1868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 7*k**2 + 2*k + 3. Let z be v(-1). Suppose -8\/5*g - z*g**2 + 0 + 28*g**4 + 6\/5*g**3 - 98\/5*g**5 = 0. What is g?\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36584, -36582, -36580, -36578, -36576?\nAnswer: -36574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -6*x**2 + 4063*x + 16274. Give d(-4).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -2 - -6) + (-2 + 8 - 12) + 107\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7393 in -1\/2, -3, -2\/13, 1\/2, -16?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -137 + 126. Let k = -3.1 + 3. Which is smaller: k or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 2\/15, 612 in decreasing order.\nAnswer: 612, 2\/15, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z + 6. Let m(c) = c**2 + c - 65. Let p be m(-9). Let r(n) = -8*n + 19. Give p*t(o) - 2*r(o).\nAnswer: -5*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -116*r - 1564. What is d(-25)?\nAnswer: 1336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 2)*(-84*z + 83*z - 4 + 5).\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -636 - -240. Calculate the common denominator of -55\/8 and -1 - (o\/(-8))\/9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6422 and 208.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 360 + -361. Suppose -4*x - 19 - 13 = 0. Which is the nearest to x? (a) 5 (b) p (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**3 - 8 + 130 + 4*b**3 - 2*b**3.\nAnswer: -b**3 + 122","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 21*j**2 - 3*j - 35. Let n be p(-21). Solve 10*g = 3*g + n for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -546 (base 7) to base 14.\nAnswer: -15d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2640*b**3 - 2926*b**2 wrt b?\nAnswer: 15840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.205238 millilitres?\nAnswer: 0.000205238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (3 - 0) - -14.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d = 7 - 62 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.010441*5.\nAnswer: -0.052205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 5 (c) 3 (d) -1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2629?\nAnswer: 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 0, -0.12, 0.12 in decreasing order.\nAnswer: 0.12, 0, -0.12, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n - 194*q + 198*q + 44, 0 = -2*n + 4*q + 40 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + g - 2)*(39 - 11*g - 39)*(0 - 6 - 2).\nAnswer: 88*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.4 (b) 2 (c) 2\/9 (d) 3 (e) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -632 - -3393. What is the thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6391\/(-1245))\/((2002\/(-39))\/22)?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1184\/96 - 12)\/(2\/(-42)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-37)\/m**(10\/3) assuming m is positive.\nAnswer: m**(-121\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*y + 4 + 118*y + 62*y - 342*y.\nAnswer: -75*y + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 65, -5, 6, -1, -10 in descending order.\nAnswer: 65, 6, -1, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 10 (c) -2 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2 + 9*x + 8 - 9*x - 10*x**4 with respect to x.\nAnswer: -40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**21*j)\/j*j**(-2\/25) assuming j is positive.\nAnswer: j**(-502\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 7*z + 8. Let v be s(8). Let i(f) = -2*f + 52. Let k be i(v). Suppose -4*h + 2*h + k = 0. List the prime factors of h.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 591806?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 245 + -242.14. What is v rounded to 1 decimal place?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 12:44 AM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-13 + 6)) + -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 18 = -2*t, -2*t + 1 = 3*d - 2 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -18777 - -4.669?\nAnswer: -18772.331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/6 (b) 1\/2 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24319?\nAnswer: 83, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(((-3)\/6)\/(-1)). Let l be -4*-3*q\/16. Solve -w + 6 = -l*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -273.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/((-1)\/(0 + -1)). Suppose 2*h = 13 - 5, -2*r - 4*h + 22 = z. Suppose -k - r*k + 40 = 0. Is k a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -35 (b) 0.4 (c) -13.15 (d) 6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -31, -30, -29?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 70*m**3 - 2*m**2 + 2*m - 25. Let z(i) = 909*i**3 - 27*i**2 + 27*i - 324. Let x(u) = -27*g(u) + 2*z(u). Find the first derivative of x(y) wrt y.\nAnswer: -216*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 4) to base 10\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*b - 3*o, o + 1 - 3 = -3*b. Let f(z) = z**2 - 24*z - 14. Let h be f(28). Suppose 0 = -22*w + 8*w + h. Is w at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -188 * -10.357\nAnswer: 1947.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 10*f - 198. Let j(d) = -6*d. What is b(j(c))?\nAnswer: -60*c - 198","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-271)\/(-4)*(7 - 3). Let q = -94 + k. Suppose -8*h - q = -11*h. What are the prime factors of h?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -6) + 1 - 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*f**2 + 14*f**2 - 11*f**2.\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 316470 and 3524325.\nAnswer: 77535150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 100225\nAnswer: 6\/100225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(-8))\/m)\/(m**(3\/5)\/m*m))**(-1\/15) assuming m is positive.\nAnswer: m**(-37\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1882*n + 1887*n + 48*c + 227, c + 32 = -4*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 6 - 2 = u, 3*y + 31 = -7*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -263 divided by -194007\nAnswer: 263\/194007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*y - 16 = 0, -5*y + 0 = -j + 24. Solve -j*q + t = 7, q = t + 3 - 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f + 4. Let d be m(2). Suppose -u - d*t - 4 = 4, 0 = -4*u + t + 13. Solve -u*g + 2 = -2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**3 - 53*a**2 - 101 with respect to a.\nAnswer: 6*a**2 - 106*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2054*k - 8203. Give p(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r**3 + 845 + 842 - 1687.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40571?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 3*y - 4. Solve 2*p + y = 6*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 14 = 2*m, 36*q - 4 = 40*q + 3*m for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (42\/(-18))\/((-1)\/15). Suppose -a - f = -130. Suppose -2*y - 25 = -a. Does 31 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173055, -346110, -519165, -692220, -865275?\nAnswer: -1038330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1005837, 2011711, 3017585, 4023459, 5029333, 6035207?\nAnswer: 7041081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4750 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 l when three letters picked without replacement from nevekekkkeeelvkkl?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - n - 3*n - 19 = 0, 2*z + 3*n + 14 = 0. Let s(j) = -j**2 - j. Let c be s(z). Let m = c + 7. Calculate the remainder when 12 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, e: 13}. Give prob of picking 3 e.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -492164\/5 - -8709947\/90. Let v = t + 1659. Find the common denominator of v and 0 - (2 + 77\/(-20)).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*r - r + 5*r)*(-1 + 3 + 1)*(3 + 0 - 1 - 2*r) as f + t*r + h*r**2 and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -10, s + 20 = 6*s + 2*q. Suppose 5*n - s*n = 9. What is the tens digit of n - -6 - (-1 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 7 + 10 = -5*k, -4*k = -3*f + 9. Let j be ((20*(-1)\/(-4))\/(-3))\/((-11)\/(-33)). Sort -7, -4, j, k in descending order.\nAnswer: k, -4, j, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - q + 27 = 0, -3091*z + 3 = -3088*z - 5*q for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 17, c: 1}. Give prob of picking 1 c and 1 k.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 u when four letters picked without replacement from {o: 3, j: 1, y: 4, u: 5}.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*b - 53*b + 218790. What is the thousands digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 964 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 207 - 192. Let c(h) be the third derivative of h**5\/60 - h**4\/2 - h**3\/6 + 2*h**2. List the prime factors of c(w).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1748 from -5.8526.\nAnswer: 1742.1474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9668 - -9667.9. Which is smaller: z or -216\/5?\nAnswer: -216\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -69560149, -69560153, -69560157?\n\"Answer: -4*q - 69560145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 70262 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7818175, -7818166, -7818157, -7818148, -7818139?\n\"Answer: 9*q - 7818184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-71 - (-1 + (6 - -13 - (2 - -3))))?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 857 + -854. Solve -r*z - 555 = -570 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14803 and 131?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 4*q - 33*u + 4 = -31*u, 2*u = 4*q + 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/7, -27179, -3\/4, -20\/13?\nAnswer: -20\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-3087)\/(-13377))\/(4\/13)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 530?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*f**4 + 6571*f**3 - 31*f**2 - 2*f + 105.\nAnswer: -168*f + 39426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.14 - 1. Let u = d + -0.04. Let y = -16\/21 - -3\/7. Which is smaller: y or u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7493\/7 + -1068. Let o = 1049 + -7327\/7. Let m = n - o. Sort -4, -0.4, m.\nAnswer: -4, -0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6699*v**3 - 6155*v**3 + 12280*v**3 - 2*v**4 + (-v**3 - 2*v**3 + 4*v**3)*(-4*v + 2*v + 0*v) as l*v + c*v**4 + b*v**2 + h*v**3 + x and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 227 = -5*d, 97 = -4*d + 5*f + 295. Suppose 55*u = d*u + 32. Solve 3*a + 7*q - 19 = 5*q, u*a - 22 = -q for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 10:12 PM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t + 1 - 3 - 4 + 2. Let a be n(3). Suppose 13 = -5*j - r, 3*j = -5*r - 1 + a. Is -3 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4*h**2 - 2. Let g be i(1). Let a be (-4)\/(-8)*249*g. Suppose 2*y + a = 5*c + 1038, y - 401 = -4*c. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -3*c - 11, 20 - 12 = -4*c - 4*x for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0)**(1\/69)*(l\/(l\/(l\/(l\/l**(-6)))))\/(l\/l**(1\/2))*l**(1\/3)\/(l**(1\/4)*l)*(l*l**(-5)*l*l)\/(l**(-1)\/l) assuming l is positive.\nAnswer: l**(-89\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2291*m**2 - 332*m - 2579. Is t(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s - 8 = 16. Let m be 6\/(-6)*s\/(-12). What is the closest to 1 in m, 0.7, 5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/4 - 4\/8*-142. Let z = u - 70. Let c(b) be the third derivative of -b**4\/3 + b**3\/6 + b**2. What is c(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, 120, 145, 172, 201?\nAnswer: 232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 11) + (-114)\/38 - -14.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lwlwwwlwllllll. What is prob of sequence wlwl?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 435 + -155. What is the remainder when v is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jzcctcjqcjjcjjjccjcc. What is prob of sequence tcqj?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 29, 2\/3, -4, -26.15 in descending order.\nAnswer: 29, 2\/3, -0.1, -4, -26.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24\/18*81\/2. What is the common denominator of -109\/18 and (-2)\/3 + (-249)\/r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145163 is divided by 282.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/378 and -65\/3504.\nAnswer: 220752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 o when two letters picked without replacement from rrowco.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2482, 4962, 7440, 9916, 12390?\nAnswer: 14862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q - 7. Let m be b(7). Let y(r) = m*r + 3*r + r. Let w(k) = -12*k**2 - 15*k**2 - 13*k**2 + 36*k**2. Give w(y(s)).\nAnswer: -64*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 4*l + 3. Let o = -0.44 + 0.4. Let t = o + -3.96. Which is the second biggest value? (a) t (b) l (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24794 and 3542?\nAnswer: 24794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c + 6461 = 6916. Solve -15 = 38*k - c*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 6*f = 12. Solve w - 1 - f = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/83? (a) 0.3 (b) -0.4 (c) -1\/2 (d) -4 (e) 0.031\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 981 + 974 - 4*z - 2932 + 977.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (1 + -4 - (7 - -31 - 33)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*l = 8. Suppose 5*b - 4*m = 32, -10 - 6 = -b - l*m. Suppose 0 = 4*c - 13 - 19. Calculate the highest common factor of b and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n**4\/9 - 270*n**3 + 61408*n**2\/3 + 46208*n\/9 = 0 for n.\nAnswer: -1\/4, 0, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(5))*-1*-1)**2.\nAnswer: 4*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 56?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15384 and 41592.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 3*g + 1. Let c be v(-3). Let y = 231\/4 - 58. What is the closest to y in -2\/5, 0, c?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 25*n - 194. Let m be i(8). Solve -15*o + m = -9 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2420 + 4132423?\nAnswer: 4130003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03 and 1619539?\nAnswer: 48586.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/18 + 3\/((-54)\/(-824)).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 6*g + 25. Let f be n(-10). Is (f - -6)*(-1 - 6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 603427406 to the nearest integer?\nAnswer: 845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 46119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-29)\/261)\/(((-6)\/(-4))\/3)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.7 + -0.5. Which is the closest to -1? (a) -4 (b) 4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 185 + -185. Suppose f*u + 2*u + 1588 = 5*h, 4*u + 314 = h. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11133790, 22267577, 33401358, 44535133, 55668902, 66802665, 77936422?\n\"Answer: -3*v**2 + 11133796*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 130670244 a multiple of 737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1315 or 1317?\nAnswer: 1317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49186 + 35626 = 26*q. What are the prime factors of q?\nAnswer: 2, 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 181, 174, 161, 142, 117?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329 + 67 = 88*p + 44 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttxttxtx. Give prob of picking 3 x.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-40)\/14)\/(66\/(-231)). Suppose -13*q = -z*q - 12. Find the third derivative of 962*m**4 - 37*m**2 - 13*m**5 - 962*m**q wrt m.\nAnswer: -780*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2960\/17 + 174. Let u = 0.05 + -0.35. Let d = 0.322 + 4.678. Which is the nearest to 2? (a) d (b) u (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/15 - (105\/(-25))\/7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2 + (3*(sqrt(2420) + -3 + sqrt(2420)) - sqrt(2420)) + (sqrt(2420) - (sqrt(2420) + -1 + sqrt(2420))) + 1)*-4.\nAnswer: -352*sqrt(5) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5087 = 26*l + 77*l - 4881 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -7*u - 26. Let o(g) = -5*g - 24. Let b(r) = 4*o(r) - 3*s(r). What is the remainder when 22 is divided by b(22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, a: 6, j: 2}. Give prob of picking 2 j and 2 q.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/6*2595\/346.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 18 = 2*t, -2*f - t + 4*t = -8. Solve -18 = f*x - x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1825, -3654, -5485, -7318, -9153?\nAnswer: -10990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -6651*y**2 - 1783*y + 246. Let p(s) = 6650*s**2 + 1783*s - 205. Let f(d) = 6*p(d) + 5*t(d). Find the second derivative of f(g) wrt g.\nAnswer: 13290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 70*o + 92. Let p(t) = 347*t + 460. Let j(c) = 11*k(c) - 2*p(c). Does 12 divide j(22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**3 + 532*t**2 - 4824*t - 11808 = 0. Calculate t.\nAnswer: -2, 12, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 641387*m**4*r**2*y + 4*m**2*r*y**2 - 7918*m*y**2 - 66*r**2*y wrt m.\nAnswer: 7696644*m**2*r**2*y + 8*r*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15012\/13761)\/((-12)\/1122).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2006.028 nanograms to micrograms.\nAnswer: 2.006028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -6*a - 10. Let u(m) = 7*m + 11. Let q(f) = -6*r(f) - 5*u(f). What is q(-18)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 22 = -3*i, 8 = 3*i - 6*a + 2*a. Let u be (i - -5) + (-2 - -4). Let d(y) = -y**2 + 5*y - 3. What is d(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 10:09 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 69.06408 kilometers?\nAnswer: 69064.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-6) + 16\/21. Let z = -113\/12 + 43\/4. What is the smallest value in z, -1\/2, u?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**4 - 419012*i**3 + 5447832*i**2.\nAnswer: -4*i**2*(i - 13)*(i + 104766)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nyqndpnddyynd. Give prob of sequence dp.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/2534 and 109\/20.\nAnswer: 25340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 14 = -5*s, -3 = m - 23*s + 24*s for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 - 127\/6. Let g = -1\/2 - p. Which is the second biggest value? (a) g (b) -0.2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 7*g - 4. Let s be y(-3). Suppose d = 5*q + 6 - 126, 3*d = 5*q - 120. Calculate the highest common divisor of s and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, c: 1, x: 7}. Give prob of picking 3 x.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 331, 285, 195, 49, -165, -459?\n\"Answer: -2*h**3 - 10*h**2 - 2*h + 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, 6, 1, -5 in ascending order.\nAnswer: -50, -5, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 926449727?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*w = -4*c - 5, 4*w - 8 = 0. Let h(x) = -2*x**3 + x**2 + 2*x + 1. Determine h(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9554697 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -p**5\/20 - p**4\/3 + 5*p**3\/6 - 2*p**2 - 2*p. Let s be g(-5). Let t = 6 + s. Solve 0 = -3*l - 9, -3*l + 5 = -4*k - t for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*m - 2, -4*m = -w + 22. Is w even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 15*g + 86. Let d be v(-12). Suppose 19*s = 4*x + 15*s - 40, 2*s = -5*x + d. Solve j - x = -13 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 8*t = 42060. Suppose -3*g + t = 3*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1302 minus 3180081648?\nAnswer: -3180081648.1302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of u**5*x + 2*u**5 + 19*u**3*x - 3*u*x + u + 3*x wrt u?\nAnswer: 20*u**3*x + 40*u**3 + 114*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1085 + 0.0085. What is the closest to d in 41, 2\/11, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -13*h**2. Let k(l) = 94*l**2. Determine i(k(m)).\nAnswer: -114868*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8, -14, -40, -64, -80, -82, -64?\n\"Answer: z**3 - 8*z**2 - 5*z + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 665429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 3214 and -716 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2875, 5769, 8663?\nAnswer: 11557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -464570 equal to -464268?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1844*x + 157250 = 8134*x for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1145 (b) 1\/9 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7341 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9\/28 - -1\/14. Let v = -0.03506 - -1.04666. Let r = -0.0116 + v. What is the nearest to r in m, 0, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2 - 32*l + 15*l + 25*l. Suppose -4*a = -b + 6, 3*a = -3*b + 3 - 0. Let q(u) = -u. What is a*o(z) - 10*q(z)?\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is b84e (base 16) in base 7?\nAnswer: 254362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -51.4 and 117150337137.\nAnswer: 117150337085.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 2*k + 1. Let r(d) = -4828*d**2 - 10*d + 7. Let l(m) = 6*j(m) - r(m). Is l(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand 563*i**3 - 563*i**3 - i**5 + (0 + 0 - 2*i)*(2*i**4 - 4 + 4).\nAnswer: -5*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-18)\/(-40)*(40\/6)\/(10\/15).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24010 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 219129984 > 219129986?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*x**4 + 269 - 2*x**2 + 182 + 75 + 65*x**3 wrt x.\nAnswer: 120*x + 390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 4*k - 77, -5*l = -6 + 21. Let s = k + -5. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 70365276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 2, -10, 3, -2297, 18 in descending order.\nAnswer: 18, 5, 3, 2, -5, -10, -2297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**2 - 25*t - 62. What is c(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 580 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -724 - -366. Let n = -365.28 - q. What is n rounded to one decimal place?\nAnswer: -7.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/13 and 10*(3 - (-39)\/(-9)).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/5 + 88*v\/5.\nAnswer: -v*(v - 88)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/105 (b) 0.16 (c) -53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 11. What is the smallest common multiple of -2 - 3\/(-9)*93 and w?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -364 + 24?\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2002435?\nAnswer: 5, 47, 8521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 + 1 + -4 - -26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-12))\/(2\/6). What is the biggest value in 2, j, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39 - 448*b**2 - 81*b**2 - 33*b**2 - 97*b**2 with respect to b.\nAnswer: -1318*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6130037*d**3 + d**2 + 14389312*d.\nAnswer: 36780222*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 = 19192*n - 19188*n. Let x = 5 - 6. Let w = x + 0.9. Which is smaller: n or w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2.977835 centuries?\nAnswer: 3573.402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162*l - 287*l = 449. Put l, -2, 0.2, -1\/3, -91\/4 in descending order.\nAnswer: 0.2, -1\/3, l, -2, -91\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 129 + 6*y**2 - 5*y**2 + y**2 - 126. Let j(n) = -n**2 - 4. Give -4*j(q) - 3*x(q).\nAnswer: -2*q**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + 19995812\/(-152)*-71. Let o = p - 9339592. Let d = o + -553. Sort d, -0.5, -3\/2, 3.\nAnswer: -3\/2, -0.5, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 7. Let x = 2288 + -2293. Let o be (-27)\/33 + (-4)\/22. Put 0, x, o, q in descending order.\nAnswer: 0, o, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-130)\/45 - (-2)\/(-6) and 26\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/15)\/(7\/(-5)). Let l = -86.4 - -86. What is the second biggest value in d, l, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8423860 - 72558?\nAnswer: 8351302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3361739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (78\/(-390))\/((-20)\/(-16)).\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 9*k**2 - 34*k - 897. Determine c(12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-22)\/(-4))\/((-2)\/(-24)). Suppose o + 5*j + 0*j = -x, -5*o - 290 = 5*j. Let n be 8\/(-36) - o\/9. Solve -3*l + n = -l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 7:33 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*s + 173 = 102 - 91 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80, 0, 94, 2.\nAnswer: -80, 0, 2, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.137932 litres in millilitres?\nAnswer: 2137.932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n - 11*f + 102, 103*n - 98*n - 4*f + 30 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (67*v - 85*v + 74*v)*(-24 - 11 - 11).\nAnswer: -2576*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 69*f**2 - 2*f - 6. Is a(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7531 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3027?\nAnswer: 3, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 20822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -225, -397, -425, -213, 335, 1315?\n\"Answer: 16*q**3 - 24*q**2 - 212*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 3)*(-d**3 + 4*d**3 - 2*d**3) + (-61*d**3 + 19*d**3 - 74*d**3)*(-2 + 5 - 1) to n*d + p*d**2 + w + h*d**3 and give h.\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 11:06 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -776?\nAnswer: 774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 106852205?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -1\/21*p**7 + 0*p**2 - 1\/6*p**5 + 4*p + 0*p**3 + 0 + 1\/18*p**4 + 7\/45*p**6. Determine h so that q(h) = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -528 - -608. Calculate the highest common factor of 840 and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 6*v - 6. Let k be r(-7). Let c = -3 + k. Let a(n) = n**2. Let i be a(c). Solve -o + i = 0, -h - 4*h - 12 = -3*o for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1050)\/420*(-34)\/(-25)*-5?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/4 + 42\/(-36). Let q = -5\/33 + h. Let f = -326 + 4888\/15. Which is the smallest value? (a) f (b) -1\/5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -289, -58, 569, 1790, 3803, 6806, 10997, 16574?\n\"Answer: 33*n**3 - 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.497501 rounded to 3 decimal places?\nAnswer: 3.498","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, z: 6, u: 4, v: 3, l: 1, b: 3}. Give prob of picking 1 b, 1 z, 1 u, and 1 k.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 6 + 3)*(-g + 4*g - 2*g) - 8*g + 32*g + 21*g)*(3*g - g - g) + (-2*g - 5*g + 5*g)*(-2*g + 4*g - g).\nAnswer: 41*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -878\/7 - -126. Let k = -2 - -1. What is the biggest value in 0, k, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2 - 5982*x - 472472.\nAnswer: 2*(x - 3068)*(x + 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5746 is divided by 167?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(1317*c**2 - 8*c**5 - 2634*c**2 + 1316*c**2).\nAnswer: 16*c**5 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 0.2 (c) 10\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 2992.\nAnswer: 8976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 76 = v, 2*l = 3*l + 5*v + 38. Let n = 30 + l. Suppose 4*p = n + 24. Does 9 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.01 - 0.61. Let x = 0.08 - g. Let t = x - -0.3. What is the second smallest value in 4, 0, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -4. Let r = s + 1. Let d(x) = -x**2 + 10*x + 5. Calculate the remainder when d(9) is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2 + 10\/3*g - 2\/3*g**3 - 2\/3*g**2 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: a (base 15) to base 8\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - p = -92, -3*p + 42 = 3*i + 2*p. What is the remainder when i is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 40.22638 minutes?\nAnswer: 2413582800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8820)\/(-245)*(78\/13*(-1)\/(-3))\/2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 10*h - d + 605 = 0, -145 = -h - 5*d. Suppose 123*x - h*x = 12. Solve -x*g = g - 5*i, 0 = -5*g - 5*i - 30 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -12. Suppose -3*v + 3*y - 4 = -1, 0 = 2*y - 2. Sort m, v, 3 in ascending order.\nAnswer: v, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*f = -71*f - 385. Suppose -l = -12*l + f. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -47*u**5\/5 + 2*u**3\/3 - u**2 - 20*u + 145. Find the second derivative of x(l) wrt l.\nAnswer: -564*l**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 6*m**2 - 4*m - 2. Let u(i) = -4*i + 3*i - 121*i**2 + 122*i**2. Give -n(b) + 5*u(b).\nAnswer: -b**2 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 42*l + 92. Let k be c(44). What is the nearest to -0.1 in -4, k, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-18)\/(-27))\/((-52)\/234). Which is the closest to 1\/3? (a) 1\/723 (b) -6\/11 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 3 + 2 + 17*g.\nAnswer: 17*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66593539.25139156 - 0.25139156. Let f = -66593566.999989 + m. Let j = -28 - f. Round j to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -80.63 - -40.45. Let h = 5.88 + b. Round h to the nearest integer.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 66\/7, -3, -1 in descending order.\nAnswer: 66\/7, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -172*d + 916. Let f be n(5). Solve 0 = 26*u - 34*u - f for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -4*i + 35, i = -i + 3*x - 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 4, -4, -9\/22?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*2\/(-4) - -90. Suppose 5*y - 255 = -0*y. Let v = z - y. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18.7 + 2.7. Let l = a + 20. What is the smallest value in -2\/11, 0.7, l?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25133448 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 500 - 289. Suppose 5*q + 2*h = p, 8*q - 3*q - 2*h = 219. Suppose q = 4*d + 11. Solve l - 5*l + d = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -340 + 380. Calculate the highest common divisor of b and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 24 = 4*a - 0*l, 3*a = -4*l + 11 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -4*m + 2. Find the third derivative of d**3 + 0*d**4 - 2*d**4 - 25*d**m - 16 + 17 + d**4 wrt d.\nAnswer: -24*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 + 0.1. Let d = 1.2 + z. Let o = 4 - 2. Which is the nearest to d? (a) o (b) -4 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s + 27. Let l = -16 - -3. Let j be n(l). Sort j, 4, -4.\nAnswer: -4, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 91 = -4*g. Let b(n) = 12*n - 20*n + g*n. Let d(r) be the second derivative of -5*r**4 - 2*r + 17. Determine d(b(y)).\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3, 17, 45, 93, 167, 273, 417?\n\"Answer: h**3 + h**2 + 4*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/30)\/((-6)\/(-20)). What is the closest to s in 3, -5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 726 and 34257366.\nAnswer: 376831026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2752787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -85*u**9\/63 + 13*u**5\/60 - 5*u**4\/24 + 383*u**2. Find the third derivative of g(o) wrt o.\nAnswer: -81600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 36 - 4?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, d: 2, g: 1, w: 1}. What is prob of sequence wdqg?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0356939948007 minus 0.4?\nAnswer: -0.3643060051993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 4. Let b = 15 - 15. Calculate d(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-34)\/45661*2709\/(-1548) and -25\/2?\nAnswer: 13046","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48458.07473 rounded to the nearest 1000?\nAnswer: -48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -25*w**2. Let n be j(-2). Let p = 111 - n. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**2 - 1018*j - 2. Let r(x) be the third derivative of -x**4\/8 + 17*x**2 + 19*x + 1. What is z(r(i))?\nAnswer: 18*i**2 + 3054*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/8*(-8)\/28?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4\/13 - 802*k**3 + 10424*k**2\/13.\nAnswer: 2*k**2*(k - 5212)*(k - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11534578, 23069156, 34603730, 46138300, 57672866?\nAnswer: 69207428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18108 and 150900?\nAnswer: 452700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-21)*g**26*g)**(-1\/5) assuming g is positive.\nAnswer: g**(-49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4362 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -209374 divided by -614?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1383228 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (14 + -2)*89\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1259478726?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5424.687 milligrams?\nAnswer: 5.424687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = g + 20, -5*x + 3*g + 0*g + 20 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 468527463.\nAnswer: 3, 17, 1020757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fvvqjovvvvvfqjv. What is prob of sequence ofqq?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 6, 5*z + 5*g + 4 + 1 = 0. Let k(a) = -a**2 + 4*a - 1. Let l be k(3). Solve 4*t - l*h - 2 = 0, 4*t + z = 4*h - 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-18))\/((-1)\/6). Let d(i) = -2*i - 2. Let u be d(-1). Is u > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9185 and 176972405?\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -2) + 1 + 10\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -207 (b) -0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 2*z**3 - z**2\/2 - 1. Let i(d) = -d**2 - d + 3. Let g be i(-2). Let q be k(g). Let y(h) = -2*h + 5. Determine y(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6419\/4 - -2830837\/1764. Find the common denominator of d and -17\/84.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 295\/4 - 74. Let v = -313.03 - -318. Let w = v + 0.03. Put x, w, -8 in ascending order.\nAnswer: -8, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/2)\/((-8)\/(-16))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-6)*(-63)\/(-42))\/(-14)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2. Let a = -8 - -5. Let j(l) = -3*l + 3 - 3 + 2*l. Let k(g) = -g**2 + 3*g. Let n(y) = a*j(y) - k(y). Give d(n(z)).\nAnswer: -z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-226)\/3)\/((-130)\/124995) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -4, -h + 12 - 57 = -3*t. Let n = -38 - h. Suppose 4*c + 5*a = 3*c + 22, -4*c - 2*a + 16 = 0. Solve z - n = -3*d + 3*z, -3*d + 4*z + c = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*a**6 - 10*a**6 - 28*a**2 + 72*a**2 wrt a?\nAnswer: -360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a tonne in kilograms?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319342 is divided by 6935.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 413591 - 4*d**2 - 827175 - 91*d**3 + 413584 - 9*d in the form t*d**3 + z*d + u*d**2 + s and give t.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1726420 or 1726418?\nAnswer: 1726418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 17. Let u = -335 - -335. Sort 4, u, o in descending order.\nAnswer: 4, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 - 782. Let x = 754 + b. What is the second biggest value in -56, 2\/7, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4860664 (base 9) to base 6\nAnswer: 132313134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/2)\/((-14)\/12). Let j be (6\/28)\/((-66)\/(-77)). Let h be 26\/(-8) - 15\/20. What is the nearest to j in l, h, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -206, -431, -656, -881?\n\"Answer: -225*g + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -93884?\nAnswer: -93886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 1075836425?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 350 and 280.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 9*t**2 - 2*t - 5. What is the remainder when a(-3) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {i: 2, l: 2, a: 3, k: 6, r: 6, m: 1}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 16 - 5 + 109)*(-14 + 14 - 7*i**2).\nAnswer: -756*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -z**7\/420 + z**6\/120 - 3*z**3\/2 - z. Let a(s) be the second derivative of k(s). Find the third derivative of a(d) wrt d.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -320 + 5?\nAnswer: -316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) 5 (c) -1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -745.04 - -29.29.\nAnswer: -715.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -55*v + 14. Let x(g) = -67*g + 12. Calculate 7*h(q) - 8*x(q).\nAnswer: 151*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143 = 94*b + 707 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 - 559359 + 559359.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1047180?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63 - 31 - 31 + 335*t.\nAnswer: 335*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17001?\nAnswer: 3, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + i**2 - i + 4. Let n be y(0). Solve 3*h**n + 1 + 7*h**3 - h**3 + 3*h**2 - 1 = 0 for h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (44 + -2) - (-4 - -1). Let t be 13\/(i\/58014) - 2. Is 4\/(-48)*4 + t\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.87503 + -0.42497. Let q = -2 + 1.9. Which is the smallest value? (a) -4 (b) u (c) q (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.226 - 0.044. Is 8\/5 > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q*(q*((q\/(q\/q**(-1)))\/q)\/q*q)\/q)))**(2\/85))**(-23) assuming q is positive.\nAnswer: q**(46\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/87 or 1?\nAnswer: 1\/87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2*s + 18 = 0. Is (230\/(-3))\/(4\/s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4811 - 1439. What is the thousands digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 9 + 7 + -9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1090, 1089, 1080, 1057, 1014, 945, 844, 705?\nAnswer: 522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*y - 2*y. Suppose -22 - 10 = -f + y*h, -3*f = -5*h - 84. List the prime factors of f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.5, 39 in ascending order.\nAnswer: -0.5, 2, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 620.0249 + -620. Round i to 3 dps.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 255 and 86445?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*6\/(-48)*2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, t: 18}. What is prob of sequence rt?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1308)\/15 - (-8092)\/(-2890)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40 - 39. Solve 5*n + 21 = a for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1129009*d**2 + 3869793 wrt d?\nAnswer: 2258018*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -329 - -203. What is the units digit of (j\/5 - 5\/25)*-5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -590049, -590053, -590057, -590061, -590065, -590069?\n\"Answer: -4*c - 590045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*1\/(-2)*(13 + 1). Suppose -3*o**2 + j*o**4 + 3*o**3 + 3*o**4 + o - 30*o**4 + 12*o**4 = 0. Calculate o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21164263 (base 7) to base 5\nAnswer: -430004323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l + l - 6*l)*(3 - 3 + 2*l) to the form a + q*l + j*l**2 and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 7*n**3 - 23*n**2 + 49*n - 59. Let c(v) = -3*v**3 + 11*v**2 - 25*v + 29. Let p(d) = -15*c(d) - 6*m(d). Factor p(f).\nAnswer: 3*(f - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5\/2)*p)**1\/(p**(7\/2)\/p*p**(-30)) assuming p is positive.\nAnswer: p**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vtj when three letters picked without replacement from {t: 2, v: 5, c: 8, j: 1, s: 3}?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -39, -185, -437, -801, -1283?\n\"Answer: -y**3 - 47*y**2 + 2*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 686*a**5 + 152390*a**4 + 21336*a**3 - 93088*a**2 + 33728*a - 3552 = 0.\nAnswer: -222, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -h**4\/24 + 5*h**3\/4 - 11*h**2 + 203*h. Factor l(c).\nAnswer: -(c - 11)*(c - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -82 + (46 - 10)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(684) - sqrt(684)*2)**2*5.\nAnswer: 20520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 132*r - 8. Let g be s(5). Let a = -9836\/15 + g. Calculate the common denominator of -99\/2 and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 0*c = 476. Let f(q) = 2 - 64*q - q**2 + c*q - 6. Calculate f(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 15*j + 14. Let d be p(14). Suppose -4 = -4*h - d*h. Calculate the highest common divisor of h and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 11:42 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -5*q - 9. Give r(11).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 9*w - 1632. List the prime factors of w.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yky when three letters picked without replacement from {y: 2, k: 4, i: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 2*x**2 + 9*x + 5. Is b(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(9 + (-290)\/5). What is the highest common factor of 196 and h?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0493? (a) -10 (b) 5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from awjjwjcwaajwacjcajj?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/7, -153, -22897?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence imr when three letters picked without replacement from xirrcmxc.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((2*sqrt(168))\/sqrt(4) - ((sqrt(84)\/sqrt(2)*6 - sqrt(42)) + sqrt(42)))*1)\/(-6*((sqrt(36)\/sqrt(3))\/sqrt(2) - (sqrt(36)*2)\/sqrt(6))))**2.\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/3))**(-3\/16)\/(g\/(g\/g**0)*g**(2\/3)\/g) assuming g is positive.\nAnswer: g**(5\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 889 = -w + 886 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -5.4. Let u = -1 - k. Let t = -6134 - -6137. Sort -3, t, 1, u in descending order.\nAnswer: t, 1, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1350\/19 or -2\/7?\nAnswer: -1350\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -3\/7, 11, 1\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2931, 2\/11, -0.121, 1\/13, 0.1?\nAnswer: 2931","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1227716 and 13181.\nAnswer: 1883","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 6253480540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 5*q**2 + 2 + 3 + 0 - 6*q + 27*q**3 - 4. Is s(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - j = 3, 2*x + 0*x + 3*j = 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 810 and 6399?\nAnswer: 63990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3030 - 33332\/11. What is the nearest to -2\/11 in x, 0, 3, 4\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 9 - 9. Let w be 4\/g + (-176)\/(-144) - -3. Suppose -103 - 53 = -w*x. Is 39 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*2\/((-4)\/5). Let v = 26 - 18. Suppose -3*j - 8 = 4*p, 3*j = p + v*j + 19. Put o, p, 3 in ascending order.\nAnswer: o, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1348 (base 11) in base 3?\nAnswer: 2101200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**5\/60 + 7*u**4\/12 + u**3\/6 - 5*u**2. List the prime factors of t(9).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7168207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/((-75)\/(-9)))\/((-12)\/(-8))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8574 * -0.3\nAnswer: 2572.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202002 + -11?\nAnswer: -202020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -54?\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(-3 + sqrt(200) + 0) - 2*(sqrt(200) - (sqrt(200) + (sqrt(200) - (sqrt(200) - sqrt(200)*-1) - sqrt(200)) + 1)))*3 + 1)**2*-5.\nAnswer: -585245 + 103200*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*1\/2 - -3. Solve -q*l + 4*l = 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -4*c. Let d(r) = -r**2 + 3*r + 2. Let g be d(3). Let h(i) = -3*i**2 - 4*i**2 + 5*i**g. Give h(p(m)).\nAnswer: -32*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 0) + (2 - (2 - 3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4570*k**3 - 19*k**2 - 37*k**2 - 22*k**2 - 4*k + 2*k**4 - 4567*k**3 as g*k**2 + j*k**4 + l*k**3 + h*k + z and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1534 - -1130?\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5726*i**2 - 978*i + 978*i.\nAnswer: -5726*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (11 + -9 - -4) + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 3*c - 18. Let k(q) = 0 + 9*q**2 + 8*q + 7944*q**3 - 7943*q**3 + 0. What are the prime factors of k(c)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 920*z + 44315. Determine a(-51).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 1050*h - 10504. Let g be f(10). Put -1, g, -2, 2, 98 in decreasing order.\nAnswer: 98, 2, -1, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 b when three letters picked without replacement from xbcvvkb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*q + 66*q - 9*q - 264 = 0. Solve -5*a - 5*l + 93 - 133 = 0, -16 = q*a + l for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57182414?\nAnswer: 2, 31, 283, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.88 (b) -31 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -2, 5, -197, -5, 19 in decreasing order.\nAnswer: 19, 5, 4, -2, -4, -5, -197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-11 - -18)\/(1\/3)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 226 + -129. Let q = 182 - s. What are the prime factors of q?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5236)\/4675)\/(24\/(-90))?\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6.58421 centimeters?\nAnswer: 65.8421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -122*h. Let p(y) = 2*y. Determine p(r(o)).\nAnswer: -244*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 1015?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 5:36 PM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 247 divided by 19\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) -19 (c) 0.3 (d) 0.6 (e) 20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 113 - (252 + -44) - -126\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -5*g - 12. Let r(f) = 29*f**2. Calculate r(p(t)).\nAnswer: 725*t**2 + 3480*t + 4176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7512720 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*k + 20 + 2*k + 3*k to x*k + p and give p.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 189, 191, 193, 195, 197?\n\"Answer: 2*h + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7584550?\nAnswer: 2, 5, 17, 8923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 235389 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i + 13*i - 20*i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a centimeter in micrometers?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2312832, 2312833, 2312834, 2312835?\n\"Answer: k + 2312831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jninjijjjjjj. Give prob of picking 3 j.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 f when three letters picked without replacement from fwtfwfqriqrfif?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 24 - 12 - s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q - 3. Let o(j) = j**2 + j. Suppose -3*x + 2*x + 9 = 2*t, 3*x + 17 = 5*t. Let h be o(x). Give a(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -285 + 284. Put -0.4, 9, -0.1, a in descending order.\nAnswer: 9, -0.1, -0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000100 (base 2) to base 14\nAnswer: -4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 + -80. Let x = z + 51. Let w = 29 + x. Calculate the greatest common factor of w and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-11))\/((-18)\/1182) + (-108 - -253) + -139\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 535, 537, 539, 541?\nAnswer: 543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.2461 rounded to one dp?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276*a + 275*a = 2*v - 2538, 0 = 2*a - 4*v - 5124. What is the highest common factor of a and 675?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/12)\/(((-135)\/(-10))\/9).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of 2\/3*c**3 + 5\/2*c**2 - 1\/4*c**4 - 6*c - 70. Determine u, given that d(u) = 0.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 320 - 320. Suppose 2*m + 4 = -4*l, 4*m - 7 = 2*l - 15. Which is the nearest to f? (a) l (b) 4\/7 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98359, -196767, -295175?\nAnswer: -393583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 749, 1542, 2359, 3212, 4113, 5074, 6107, 7224?\nAnswer: 8437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -236.71 rounded to the nearest 10?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 32 = -2*g, 5*g = 100338*l - 100325*l - 10 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 674 a factor of 253924187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-10894)\/182 - ((-900)\/70 + 14)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75651910 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 4187599200 to the nearest one million.\nAnswer: 4188000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k - 4. Suppose 3*a - 13 + 13 = 0. Suppose 5*o - 4*x = -27, 2*o - o + 5*x + 17 = a. Determine f(o).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12*4\/6)\/(-2). Suppose -8560 = -w*j + 4*i, 3*i + 8558 = 10*j - 6*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l. Suppose 0 = -2*k - 2*k + 5*v - 17, 4*k - 18 = -2*v. Let p(b) be the first derivative of 0*b**k + 0*b - 1 + 2\/3*b**3. Calculate y(p(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*n + 6808 = 22*n - 118*n for n.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2770 - 1520 = -195*h for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 152804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10720 and 18760.\nAnswer: 75040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -728\nAnswer: -145.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 96953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 3*g + 564. Let j = 183 - g. Let b(m) = -2*m - 7. What is b(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 850 is divided by 71?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2*f - 45, -o - 7 = -0*f - 2*f. Let p(b) = 2*b**3 + 24*b**2 - 27*b - 9. Let z be p(o). Calculate the greatest common divisor of 2 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, h: 1, n: 4, x: 1, s: 1}. What is prob of sequence nhnx?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5659751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -191 - -201 - (0 + -14)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 13*s - 375 = 0, u + 55*s - 118 = 59*s for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 209 + 379. Let j be (-14258 + 0)\/(8\/t). Let v = j + 2207963. Round v to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21829.02 - 21820.01993. Let y = 209 + -218. Let f = r + y. What is f rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 - 1 - (8 + -9). Let d be (-9)\/18*(3 + x). Is d smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60365, 241539, 543527, 966335, 1509969, 2174435?\nAnswer: 2959739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence plp when three letters picked without replacement from lpllpllllll.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**6 - 484*d**5 - 2*d**3 - 1197*d**2?\nAnswer: -120*d**3 - 29040*d**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17335\/8 + 2155. Calculate the common denominator of 45\/8 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**3 + 6927*z**2 - 11389080*z - 2127423376 = 0. Calculate z.\nAnswer: -169, 3548","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*p**2*y**5 + p**2*y - 7*y**6 + 25*y**2 + 1 wrt y.\nAnswer: 360*p**2*y**2 - 840*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2*-30\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d34ae - 31?\nAnswer: -1d34e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 4*r + 4. Let y(l) = -3 - r*l + 8*l**2 + 8*l**2 + 3 - 1. Let o be y(1). What is the highest common divisor of o and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -198, -195, -190, -183, -174?\nAnswer: -163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 14*(15\/10 - 3)\/(4\/96*-9)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-15)*q*((q*q**(-4\/9))\/q)\/q)\/(q**12*q**5*q) assuming q is positive.\nAnswer: q**(-301\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17)*-1*-2 - (sqrt(187)\/sqrt(176))**2.\nAnswer: -17\/16 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 - -40. Let j = -13 + l. Let m = -763\/45 + 87\/5. Which is the third smallest value? (a) m (b) -1\/5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 261\/11. Suppose -5*o = -4*u - 17, 0*o + o - 4*u - 13 = 0. Is o > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 5)*(-10*t + t**2 + 10*t) + (-1 - 2*t**2 + 1)*(-1 - 2 + 5) + 1 - 2*t**2 - 1 - t**2 + 6*t**2 - 3*t**2 + 4*t**2 + 3*t**2 - 5*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4696353 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g - 1. Let p(m) = -217*m - 56. Let o(d) = 6*f(d) + p(d). Differentiate o(q) wrt q.\nAnswer: -205","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**3 + 35*s**2 - 19*s - 16. Let j be m(-18). Let p(x) = 45*x + 2 - 48*x**2 - 45*x + 13*x**j. Let k(n) = 2*n. Calculate k(p(r)).\nAnswer: -70*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 668 - 638. What is the remainder when 172 is divided by x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31174208 divided by -4\nAnswer: 7793552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12095518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 - 9 = 5*f. Let l be f\/(14\/(-4) + 2). What are the prime factors of 7*(144\/(-21))\/l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13526405931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11880 - 11876. Solve r*k + 11*y - 7*y = -40, -5*k = -y + 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y - 3*y + 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-257348)\/(-303) - 5\/(-3). Suppose 284 = -3*w + a. Does 20 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4342.\nAnswer: 2, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.94871 milligrams to nanograms.\nAnswer: 1948710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - ((-5 - (-21 - -3)) + -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) -7 (b) -34 (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1189670 is divided by 24?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 115580267?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 19341.17 kilograms in tonnes?\nAnswer: 19.34117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153270*m**2 + 153270*m**2 - 109709*m**3.\nAnswer: -109709*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -71 (b) -2 (c) 4 (d) 0.845\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 - 37 - 3*v)*(v + 0*v + 2*v).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 522516.8 tonnes to nanograms.\nAnswer: 522516800000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 190\/(0 + 2) + -22 + 25?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -4*q**4 + 388*q**3 - 11200*q**2 + 90576*q - 218880 = 0.\nAnswer: 5, 6, 38, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4847*a + 9685*a - 4836*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 22\/9, 1\/2, -1\/2, -2?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 734*a**3 + 228 wrt a?\nAnswer: 2202*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -4*c - 5*x + 10, 5*c + 2*x + 29 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rkd when three letters picked without replacement from jdjjkjjjjkrjj?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 463378605?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12552 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*c + 7, -2*x + 3284 = -4*c. Is 63 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 432200?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 0*z**3 + 0*z**2 - 82 + 0*z**4 - 67\/5*z**5 - z. What is the first derivative of v(q) wrt q?\nAnswer: -268*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/222 and -76\/96525?\nAnswer: 7142850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of 3*r**5\/10 + r**2 + 6*r. Differentiate p(c) wrt c.\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7228775*b**3*n**3*q + 4155*b**2*n**3 + 2*b**2*n - 19*b*n**3 + 6*b*q wrt b?\nAnswer: 43372650*n**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 414, 831, 1258, 1701, 2166, 2659?\nAnswer: 3186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32.2 - 33.77. Let r = -6.5 - -5. Let x = f - r. What is x rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f + 2638 = 11*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15575*d + 386669 - 216190 = -670571 for d.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6598 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z + 2 + 7*z - 4 + 3. Let f(l) = 14*l + 3. Let d(k) = 6*f(k) - 17*w(k). Is 6 a factor of d(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.575218nm in micrometers?\nAnswer: 0.007575218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**4\/3 - 20*b**3\/3 - 19*b**2\/3 = 0.\nAnswer: -19, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -56*u + 53*u + 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/6)\/(1\/58). Let s = g + -27. Sort 3, -2, s in ascending order.\nAnswer: -2, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -818*n**2. Let q(g) = g**2. Determine q(j(x)).\nAnswer: 669124*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -131\/7. Let w = -0.5 - -0.2. What is the second smallest value in s, w, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.01 and -3888941560601.\nAnswer: -3888941560601.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 1, 3, -951 in increasing order.\nAnswer: -951, 0.3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-175))\/(30\/(-25))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2011010022 (base 3) to base 2.\nAnswer: -1010010110000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -4 - 26 - 4.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121551336 divided by -72.\nAnswer: 1688213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -29*y - 2151. Determine r(-74).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26008 by -370.\nAnswer: -13004\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 - 83*y + 2*y**3 + 106 + 41*y + 46*y to o*y + z*y**3 + x + v*y**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 4*u - 43, 4*l + 25*u - 53 = 22*u. Let n(t) = 4*t**2 - 21*t - 6. Let v(m) = -7*m**2 + 41*m + 11. Calculate l*n(r) + 6*v(r).\nAnswer: 2*r**2 + 15*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (4*sqrt(980)*2)\/((sqrt(10) - (sqrt(10) + sqrt(160))*-6) + -3*sqrt(90)))**2.\nAnswer: 280*sqrt(2)\/11 + 4593\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 0.182 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 + 38.0000062. What is r rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -15. Let i(h) = 0*h - 1 + l*h - 5*h + 3*h. Let q(o) = -o + 1. Determine -4*i(j) - 6*q(j).\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixth of a minute?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-6)*2\/(-10)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -212*p**2 + 13*p**2 - 34*p**2 - 2*p**2 - 2*p**2 + 3*p**2 + (-p + 2 - 2)*(2 - 2 + p).\nAnswer: -235*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 6*w**2 - w + 8. Let k be v(6). Suppose 10 = -7*i + k*i. Put -5, i, 3 in descending order.\nAnswer: 3, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((((-22)\/(-2))\/11)\/2)\/(2*1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - 12*a + 4. Let t = -32 + 23. Does 14 divide i(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-103)\/((-1030)\/120)*((-2)\/(-20))\/((-1)\/(-2))\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + l - 27 = -2*l, 0 = 4*c + 5*l - 80. What is the common denominator of 78\/c*3\/(-12) and 67\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -12647074?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2*sqrt(363) - (sqrt(363) + -2 + -4).\nAnswer: -33*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2947*w**3 + 169561 - 169561.\nAnswer: -2947*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8449 and 238?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventy-five quarters of a microgram?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - z + 7*z - 6*z + 0*z + 4*z + (0*z - 3*z + 4*z)*(-2 + 5 - 2))*(-2*z + 2*z - z) - 2*z + 2*z + z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + 1375 + 105 + 99 + 783.\nAnswer: -2*q + 2362","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33934 and 19834.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -v - 16, 24*o = 23*o - 5*v - 32. Let i(j) = 3*j + 24. Determine i(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 7:51 PM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2258 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2123 to 2 dps.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/2218 and 99\/38?\nAnswer: 42142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -48441*k + 62636?\nAnswer: -48441","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 298902 less than 298903?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5*d + 5 = -30, -5*d - 5 = 0. Let i(z) = z**3 + 7*z**2 + 8*z + 13. Let l be i(m). Let v(f) = -183 - 184 + 541 - 174 + 9*f**2. What is v(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - (-39 - -51 - 28) - (11 - (-3 + 5)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bl when two letters picked without replacement from lllarrbllrlaralrll?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -24. Let z = -22 - s. Let k = 5 + z. What is the biggest value in k, 3\/4, -1\/7?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/10 + 3\/2. Let w(u) = 2*u - 3*u + 6 - 2 + o. Let j be w(7). Solve -5*p + 4*p - 8 = -5*m, j = 4*m + 3*p - 14 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9862265 and 0.2.\nAnswer: -1972453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-13)\/(c**(-1\/6)*c*c))\/((c\/((c\/(c*c**(-5\/9))*c)\/c))\/c**(1\/10)) assuming c is positive.\nAnswer: c**(-683\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-10))\/(146\/876)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.411 - -5280078.\nAnswer: 5280078.411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 18.93323513946 and 60.\nAnswer: 78.93323513946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) -12\/13 (b) -0.4 (c) 3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -167 + -196709?\nAnswer: -196876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57\/(-285) - (-18872)\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 4:07 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 q when four letters picked without replacement from rrrrrqrrrrqrqr.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + 14 + -10 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 483*a + 15 = 488*a, -a - 6 = 5*b + 2*a for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -3) + 489 + -560\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4692*p + 12990 = -5558*p for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -0*u - 12. Suppose 0 = 2*s - 0*i - 2*i - 44, -78 = -3*s - u*i. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16751631 (base 8) to base 10\nAnswer: 3920793","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -78863*t**2 + 206. Let l(a) = 2*a**2. Calculate d(l(z)).\nAnswer: -315452*z**4 + 206","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 17*a - 11. Let h(m) = 6*m**2 - 4*m + 1. Let f be h(2). Calculate c(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r. Let l be b(5). Let m = 4 + -3. Solve -l*n + 4 = -x, x - m + 5 = n for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -13*v**2\/2 - v + 2. Let u be g(-1). Suppose 3*m = -0 - u. Let a(w) = w**3 + 5*w**2 + 2*w - 2. Calculate a(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f. Let t(i) = -i. Let v(z) = -2*l(z) + 10*t(z). Let b(h) = -20*h + 17*h + 15*h + 4*h. Calculate v(b(d)).\nAnswer: -32*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (10\/(-120) + 0)*1308\/90 and (-197)\/(-80) - 2\/2.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25398477781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*x + 78*x - 39 = 149*x. Solve -5 = -3*f - 3*o + 5*o, 2*o = -x*f - 11 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -34*b - 2937. What is o(-83)?\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 1\/4893?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 2106055879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20 and 63\/137975.\nAnswer: 137975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 - -4)*(-181 + -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22.26773695 - -22.727738. Let d = l + -0.46. What is d rounded to 7 decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13734 and 49.\nAnswer: 96138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -486 less than -1?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 n when three letters picked without replacement from mkgngkmgmknrnrnnn.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 282145 divided by -5?\nAnswer: -56429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (0 - 0) - (12 - 9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is c47 (base 13) in base 12?\nAnswer: 125b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1774071 and 71703?\nAnswer: 2313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of 1\/60*i**5 + 2\/9*i**3 + 0*i**2 - 1\/9*i**4 - 2*i + 2. Factor r(o).\nAnswer: o*(o - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/268)\/((-8)\/(-126)). Let p = o - -1\/134. Let g be -2*(-129)\/378 + 8\/(-72). Which is the nearest to -2\/13? (a) 4 (b) p (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/7 (b) -0.8 (c) -0.3 (d) 1 (e) -3\/2 (f) 5 (g) -14602\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 16 = 4*y, -4*y + j = -9*y + 31. Calculate the remainder when 25 is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 245768418 and 1134?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 + 37. Is w bigger than 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3221, -5, -2.26 in descending order.\nAnswer: -2.26, -5, -3221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54 + -6 - (250 - 247).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6864683 centimeters to meters.\nAnswer: 0.006864683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 + 1 + (-61 - (-7 - 79))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-8)\/y**(-4\/5))**(-18)\/(((y**(4\/7)\/y)\/y)\/y*y**(-3\/5)*y**7*(y**(-1\/2)\/y)\/y*y) assuming y is positive.\nAnswer: y**(8899\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -46 - w**2 + 2*w**2 + 47 + w**3. Suppose 0 - 4 = 4*g. Determine a(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 11*d + 347*d**2 + 357*d**2 + 6 - 701*d**2. Calculate x(-7).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 8:20 AM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -689020 to the nearest one thousand.\nAnswer: -689000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h + 14 = 2*h + 8*l, -16*h - 4*h + 62 = 17*h - 4*l for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/2)\/((-416)\/(-64))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -13\/36*h**4 - 1\/90*h**6 + 0 + 3*h**2 + 7\/60*h**5 - 48*h - 1\/6*h**3. Factor f(c).\nAnswer: -(c - 3)**2*(c - 2)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07006 times 458?\nAnswer: -32.08748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 954*u - 7. Give b(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/71136 and -31\/5967.\nAnswer: 3627936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 742 + -742. Let c be (-25)\/(-15) + 2*-1. Which is bigger: c or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 978160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 3*f**2 + 4*f - 2. Let j be ((-2)\/6)\/(2\/(-12)). Let a be s(j). Calculate the remainder when 13 is divided by 1 + 7 + a + -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 2) + (26 - (5 - (-7 - -7))).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 723, 893, 1065, 1239, 1415, 1593, 1773?\n\"Answer: t**2 + 167*t + 555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f - 28. Let m(p) = p + 27. Let i(y) = 3*l(y) + 4*m(y). Let s be i(10). Suppose -s*o + 22 = -22. Calculate the highest common divisor of o and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -808*p**2 + 399*p**2 + 384*p**2 + 3 as z*p + q*p**2 + s and give q.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4910*w = -93360 - 89319 - 72641 for w.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 2*w + 21. Suppose 0 = 2*q - 5*u + w + 5, -4*q = -5*u + 4. Let s(h) = 2*h + 1. Let o be s(1). Sort q, 5, o in ascending order.\nAnswer: o, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5*x = -20, -2*c + 4*c - 16 = -4*x. What is the second derivative of 5*r**5 + r**5 + 0*r + c*r + 8*r wrt r?\nAnswer: 120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 7*w**2 - 14*w - 4. Let z be y(-3). Solve -35 = -4*g + 5*j, -3*j = 4*g - z*j - 17 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2*p**2 + 0)*(-27330 + 54664 - 27334 - 4902*p) in the form i*p + r*p**3 + a + d*p**2 and give r.\nAnswer: -9804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 409425041.\nAnswer: 19051, 21491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.5 - 9.5. Let k = 2.5 - 3. Which is the closest to -2\/3? (a) k (b) 3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -49*c - 6. Sort c, 1, -2, -12 in descending order.\nAnswer: 1, c, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.872 rounded to 1 dp?\nAnswer: 4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 6aad870?\nAnswer: -6aad869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.184 times 0.31?\nAnswer: 0.05704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 717132 (base 10) to base 11.\nAnswer: 44a879","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.63121574 - 9?\nAnswer: -16.63121574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 7*v + 1. Let n be f(-3). Let o be n + -4 + 0 + 64. What is the units digit of o - (2 + 2 + -6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*x + 14*x**5 - 30*x + 14*x + 2 + (x**2 - x**2 + x**3)*(-3*x**2 + 3*x**2 + 2*x**2))*(-3 + 1 + 1).\nAnswer: -16*x**5 + x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -54 - -80. Is 13 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of y**3 - 3*y**2 - 5*y + 1. Let z be 15 - (-1)\/((-12)\/120). List the prime factors of p(z).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of a**6\/72 - 28*a**3\/3 - 16. Let g(r) be the third derivative of k(r). Let l(h) = 7*h**2. What is l(g(f))?\nAnswer: 175*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(-90)*-1*(-6)\/(-10).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a factor of 1237880227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/1352 and -49\/36?\nAnswer: 12168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-2 - (20\/(-16))\/1). Suppose 16706 = 3*c - 3*s + 4484, -u*s = -2*c + 8150. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/9839 and 56\/501789.\nAnswer: 501789","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132604 is divided by 5303?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*(n**11*n*n)\/n)*n\/((n*n**(3\/11)\/n)\/n))**(-3\/13)\/((n*((n*n\/n**(-1\/6))\/n)\/n*n*n**(1\/4))\/(n*n**(-1)\/n*n*n**(4\/5)\/n*n)) assuming n is positive.\nAnswer: n**(6469\/8580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 21. Let t be h(0). Let q = 1593 + -1509. What is the greatest common divisor of q and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 4*a**2 + 14*a - 7. Let u be g(6). Suppose 0 = -5*s, 5*c + u*s - 80 = s. What is the greatest common factor of c and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/22 - 4592\/154. Let d = -23 - b. Suppose 5*i - 4*j - 53 = 0, i = -6*j + 5*j + d. Solve -29 + i = 4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -191.\nAnswer: 5\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11270.0623047 + 11276.9824. Let w = -39.9200861 + s. Let k = w + 33. Round k to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i - 8. Let a(c) be the third derivative of 7*c**4\/24 - c**3\/2 - 2845*c**2. Determine a(b(k)).\nAnswer: 14*k - 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 3, -c - 3*x + 6*x + 6 = 0. Let v(d) = -1. Let r(b) = 2*b - 12. Let u(m) = 4*r(m) - 44*v(m). What is the units digit of u(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + sqrt(77)*3*6 + sqrt(77))\/(-2*-1*sqrt(7))*2 + 1.\nAnswer: 1 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.9? (a) -0.3 (b) 1 (c) -4 (d) -0.163 (e) 2 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = r - 4. Which is the biggest value? (a) r (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2894 + -2007. Suppose -11*t = -v - 1049. Calculate the highest common factor of t and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -5. Let f be (-28)\/(-6) - p\/3. Suppose -f*u - 14 = -50. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-14)*(-476)\/6800?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2595?\nAnswer: 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 31823914957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -25*o - 508. Let c be j(-21). Suppose -5*l = -4*l - 136. What is the highest common factor of l and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -77 - -49. Let n = m + 50. What is the remainder when 65 is divided by n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 6)*(9\/27)\/((-3)\/9). Solve 0 = -2*o + j*y - 7, 4*o + 2*y = 6*o + 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**17*l*l*(l**(-25)\/l)\/l)\/(l**22*l*l\/(l*l**(-22))) assuming l is positive.\nAnswer: l**(-53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0656 - 68.3344. Let k = c + 68. What is the closest to 0.1 in k, -1\/19, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 139.7, 1306?\nAnswer: 1306","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 295b51 + 460?\nAnswer: 2963b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 h when three letters picked without replacement from {t: 1, h: 2, m: 3, d: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000001446054 rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**3\/7 - 3912*w**2\/7 + 720586*w\/7 + 103500 = 0. Calculate w.\nAnswer: -1, 207, 1750","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -801771 (base 10) to base 14\nAnswer: -16c295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4 + 728*s**3 + 111382*s**2 - 7685496*s + 111450249.\nAnswer: (s - 27)**2*(s + 391)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -7. Let q = 1 - a. Let p be -3*1 + 1 + (-238)\/(-136). Sort p, 1\/4, q in descending order.\nAnswer: 1\/4, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 64137 or 5066881\/79?\nAnswer: 5066881\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -7 times -523674\nAnswer: 3665718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 6*u - 5. Suppose -5*t - 25 = -5. Let w be m(t). List the prime factors of 12\/(-18) - (-23)\/w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -62399638 + 27831667. Let s = 17220341 - t. Let j = 76888312 - s. What is j rounded to the nearest 1000000?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 564?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4296362136.\nAnswer: 2, 3, 11, 67, 293, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s + 3*s**2 + 4*s + 2 - 21*s**2 - 32*s**2 - 3*s as u*s**2 + t + r*s and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j + 17. Let y be k(-8). Suppose 5*f - 5 + 10 = -3*i, y = -f. Suppose 129*u - 127*u - 206 = i. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 4*w + 1. Let z(t) = 3 + 243*t - 3 - 244*t - t**2. Give -s(a) + 4*z(a).\nAnswer: -3*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8)\/6)\/(-1))\/((-50)\/5)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8 + -7 + 3 + -1. Let a(r) = -7*r**2 - 15*r + 8. Let w(p) = 3*p**2 + 7*p - 4. Let b(o) = -4*a(o) - 9*w(o). Calculate b(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87520?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 12 (b) 5\/13 (c) 4 (d) 55 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-17\/2)*x*x*x*x)**(2\/5)*(x**42)**(21\/8) assuming x is positive.\nAnswer: x**(2177\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*f**2 - 3*f**2 + 5*f**2)*(4 + 1 - 4) - 2*f**2 + 0*f + 0*f + 0*f**2 + 0*f**2 + 2*f**2 + 0*f**2 - f**2 + 3*f**2)*(13 - 14 + 7).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 10*r - 7. What is the least common multiple of n(11) and 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, b: 1}. What is prob of picking 1 a and 1 b?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12393)\/594 - (-105)\/6. Suppose -x = 1 + 2. Is x equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 - 27825928*m - 48392641816324.\nAnswer: -4*(m + 3478241)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 5*m - 3)*((-3 + 3 + m)*(5 - 1 - 2) + 2*m - m - 3*m + (-1 - 12 + 5)*(-2 + 2 + 2*m) - 2*m + 2*m + m).\nAnswer: 75*m**2 + 30*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 568 + 2 - 164\/(-41).\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 955834, 1911666, 2867498, 3823330, 4779162, 5734994?\n\"Answer: 955832*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 o when two letters picked without replacement from {f: 5, o: 2, c: 13}?\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 14*j - 423. Suppose -44*n - 6 = -j*n. Calculate the least common multiple of n and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1)*c)\/c)**(-2\/13)*c\/c**(-2\/23)*(c\/((c**5*c*c)\/c))\/c assuming c is positive.\nAnswer: c**(-1423\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 256*v**3 + 77*v**2\/2 + 331. Find the second derivative of d(q) wrt q.\nAnswer: 1536","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44580 and 300?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 170756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**3 - 3*v**3 - v**3)*(9 + 13 - 2) - 12*v**3 + 5*v**3 + v**3.\nAnswer: -46*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = y - 0*y. Let r(q) be the first derivative of 1\/3*q**3 + 2*q**2 - 3*q + 3. Calculate r(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 2599.\nAnswer: 1039.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 133 - 13654?\nAnswer: -13521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -161 - -128. Let s = z - -36. Suppose 5*u + 2*d = -10 + 2, 7 = -4*u - d. Put 2, u, s in descending order.\nAnswer: s, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**3 - 2*p**2 - 21*p + 127. What is the units digit of c(17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15873917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 53 (b) 0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -52873*k*z**2 - k*z - 3302841*k + z**2 wrt z?\nAnswer: -105746*k*z - k + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 19*q**3 + 7*q**2 + 5. Let k(z) = 38*z**3 + 13*z**2 + 9. Calculate 11*b(l) - 6*k(l).\nAnswer: -19*l**3 - l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 2*a + 2. Suppose -3*h - 5*q = 4, 4*h = -q - 0*q + 6. List the prime factors of y(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 292491427?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c + 26. Let i be v(23). Suppose -g = n - 1, 4*g - 4*n - 4 = -i*n. What is the highest common factor of g and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 11*w**3 + 30*w**2 - 7*w - 9. Let x(j) = 5*j**3 + 15*j**2 - 3*j - 4. Let r(f) = 2*f**2 - 12*f - 153. Let v be r(12). Calculate v*x(q) + 4*h(q).\nAnswer: -q**3 - 15*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12eac (base 16) in base 12?\nAnswer: 38a10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2418 + -2422. Which is the nearest to -40? (a) -2\/5 (b) r (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 2*s**2 + 2*s + 2. Let d = 3 + 0. Let n be w(d). Let k be 15\/(-12) - n\/(-4). Which is greater: k or -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.2 (b) 7.63 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -148077, -148054, -148031, -148008, -147985?\n\"Answer: 23*s - 148100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 447 = -16*t - 19*t, -48*g - 2*t - 20 = -45*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 793 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7034086.\nAnswer: 2, 31, 113453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122202000 (base 3) to base 4.\nAnswer: 3022011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 4*u**2 - 3*u - 3. Let a be i(5). Let v = 1 + a. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3139, 3147, 3159, 3175, 3195?\nAnswer: 3219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 8:00 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) - (sqrt(30) - -6*sqrt(480)) - sqrt(30))\/(sqrt(90)*-1) + (5 + (sqrt(147) - ((4 + sqrt(147)*-2 - sqrt(147)) + sqrt(147))))**2 + 4.\nAnswer: 151*sqrt(3)\/3 + 1328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41218?\nAnswer: 2, 37, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 2203, 1\/3 in descending order.\nAnswer: 2203, 1\/3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4 = 6*d. Suppose -4*l + s - 7 = -0*l, 3*l = -d*s - 10. Let v be (0 - l\/5)*1. Which is bigger: 1 or v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 8:13 AM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 15818 = -15724, -7*u - 26 = w for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111111010 + 101?\nAnswer: -11111110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 56080 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -152, -595, -1340, -2393, -3760, -5447, -7460, -9805?\n\"Answer: -q**3 - 145*q**2 - q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ninn when four letters picked without replacement from {n: 3, i: 8}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4837, -19335, -43497, -77323, -120813?\n\"Answer: -4832*x**2 - 2*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 9*i**2\/2 + 170. Let o be (-2 - -3) + (1 - 3). What is g(o)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 9*h - 1219 = -0*p + 5*h - 1142, -5*p - 5*h - 50 = -0*h for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 3, -3, 1, 4.\nAnswer: -3, 1, 3, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, y: 4, a: 1, v: 1, q: 8, k: 1}. Give prob of picking 1 v, 1 q, and 2 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 91741 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25234123 is divided by 375?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 814 (base 9) to base 7\nAnswer: 1633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 334 + -10243?\nAnswer: -4404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3231 + 9769. What is the highest common factor of j and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/13 (b) -7992 (c) -360\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -e?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3330 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -1\/4 (c) 2541\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 60 = -22*v, -d - 87937 = 2*v - 87940 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/2)\/(18\/(-70)*95\/(-114)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 451871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/4)*b\/(b\/b**(2\/19)))**(-1\/34) assuming b is positive.\nAnswer: b**(-65\/2584)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/(sqrt(16)\/sqrt(4)) - sqrt(35)*1*3)\/(3*1*sqrt(700)).\nAnswer: -sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2962604 and 291896.\nAnswer: -2670708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 306 + 51 = 0. Let u = 62 + z. Suppose u*m = 272 + 1708. Does 45 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(-1\/4)*v)\/v*v)**(-38)*(v**(-3)*v*v)**(22\/9) assuming v is positive.\nAnswer: v**(-1925\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -662.00289 + 662. Round c to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -172 (b) -3 (c) 4 (d) -10.23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 9*h + 9. Let w(k) = -k**2 + 14*k + 17. Let r(y) = 5*l(y) - 3*w(y). Find u, given that r(u) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156 - 109 = 401*o + 1339 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 7:07 AM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5500 and 5999125?\nAnswer: 1375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**3 - r**3 + 3*r**3)*(0*r - 9*r + 2*r).\nAnswer: -7*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from trtrlkrmrl. What is prob of picking 1 l, 1 r, 1 k, and 1 m?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from exibbng. What is prob of sequence gb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vhh when three letters picked without replacement from {h: 13, v: 3}.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(15)*1)\/sqrt(3).\nAnswer: -1 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**4 - 2*v**3 + 2*v**3)*(-192*v + 1 - 3 - 55*v).\nAnswer: -247*v**5 - 2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 2:24 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-3) + 50\/(-15) - -3. What is the nearest to o in 0.5, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - g + 85 = 0, -3*g = u - 6*g - 32. Let b = u + 47. Let d be 10 + -1 - (4 - 6). Calculate the highest common divisor of d and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -23, 16, 71, 148, 253, 392?\nAnswer: 571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 21\/18*(1 + (-32)\/28). Let q = -1.2 - -0.2. What is the nearest to q in 0.4, s, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -411*g**4 - 8*g**2 + 145*g**4 + 133*g**4 + 143*g**4 + 1 as y*g**4 + i*g**2 + a*g + p + w*g**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-2)\/(-15))*2784\/(-3480)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -0*r + 5*u - 110, -3*r + 116 = 2*u. Suppose d = -2*t - 3*d + r, -2*t + 2*d = -22. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24172376 a multiple of 417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 16*z + 3 + 22*z + z**3 - 3*z**2 to the form h + p*z**2 + w*z**3 + s*z and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7, -49, -121, -223?\n\"Answer: -15*n**2 + 3*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6975 by -155.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38331 is divided by 9455?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90339*m + 19897*m + 80703*m.\nAnswer: 190939*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 3*m**2 - 5*m - 2. Let r be u(-4). Let j = r + 2. Suppose 5*i = -3*z + 425, i - j*z = -0*i + 85. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 8*j + 252. Let f = -43 + j. What is the highest common factor of f and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4, -17, -42, -85, -152?\n\"Answer: -k**3 - 6*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(8\/15)*h)\/(h**(-27)\/h))\/((h**(-3\/13)*h*h*h)\/h)**39)**34 assuming h is positive.\nAnswer: h**(-19618\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -835 (base 9) in base 10?\nAnswer: -680","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (900\/(-1620))\/(32\/36)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i. Let p(v) = -4*v - 1. Determine 4*c(x) - 3*p(x).\nAnswer: -4*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 66*c - 165?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 2*q**2 - q - 2. Let h(w) = 3*w - w + 3*w + 5*w**3 + 11 + w - 11*w**2. Determine -4*h(c) - 22*m(c).\nAnswer: 2*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (195\/1014)\/((5\/(-6))\/(12\/(-3)))?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a kilogram in grams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w. Let u(l) = -l + 3. Let b = 70 + -68. Determine b*j(v) - u(v).\nAnswer: -v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -19686, -39944, -60202, -80460, -100718?\n\"Answer: -20258*t + 572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.6 + 7. Which is the closest to -1? (a) 1\/6 (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19.3469436 + -19.348. Round s to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40 divided by -10\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -197939, -197927, -197891, -197819, -197699?\nAnswer: -197519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) 11\/841 (c) 3 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v + 2. Let i(p) = p - 10. Let o(q) = -11*q + 198 + 3*q**2 - 217 - q**3 - 12*q**2. Let m be o(-8). Let u be i(m). Determine z(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 214040790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 71 and -827?\nAnswer: -58717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l - 13*p + 109, 78 = 6*l + 2269*p - 2266*p - 48 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 20 = f. Suppose -11 = -3*z + p, 7 = -4*z + p - f*p. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 20654, 41270, 61864, 82430, 102962, 123454, 143900, 164294?\n\"Answer: -k**3 - 5*k**2 + 20638*k + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/2816 and -61\/528.\nAnswer: 8448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(3\/(-3441)) - 6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 77*w + 4068. Let a be k(-113). Suppose 4 + 5 = 3*s. Solve a = -i - s*i - i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(320) + sqrt(320))*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189476 is divided by 216?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-10 + 986\/87 - (-29)\/(-21))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 14 = -4*f, -2*f + 4*s + 19 - 3 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/8)\/(28\/8).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1119\/5222*35\/18.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2*u + 18, -1 = -3*k - 4*u - 5. Let a(x) = 2*x + 8. Determine a(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1271693 is divided by 2508.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15893? (a) -3\/8 (b) 3 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(256)*2)\/sqrt(8) + -1 + (sqrt(72) + -1 + sqrt(72))**2)*-1.\nAnswer: -289 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 4:18 PM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 12 + 16 = 0. Which is greater: g or 2\/21?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170*l + 2 - 267*l + 0 + 145*l.\nAnswer: 48*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 520005 is divided by 418.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6827, 13652, 20477?\nAnswer: 27302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 m when two letters picked without replacement from xmoximxxooiim?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -7*b - 37. Let q be d(-5). Let r = q + -12. Let s be (-4)\/r - (-494)\/133. Solve -t - s*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -40c93c63 + -2?\nAnswer: -40c93c65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 divided by 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/58 and 59\/58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 37 = -3*r, -r = -8*k + 6*k - 17. Let g(w) = -w**3 - 7*w**2 - 2*w - 6. What is g(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 302 divided by -69\nAnswer: -302\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a millisecond in microseconds?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.032, 2, -1?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 2 = 26*j - 30*j, 0 = -2*j for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c**2 + c + 1. Let y(t) = 14*t**2 + t**2 - 3*t + 8*t**2 - 14*t**2 - 3. What is -5*i(o) - 2*y(o)?\nAnswer: 2*o**2 + o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 48489920 rounded to the nearest 1000000?\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/13 (b) -0.4 (c) 762.78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 1002?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2314 by 1.\nAnswer: 2314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 5:17 AM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*i - 2, -i + 2 = -0*i - 3*f. Sort 13, i, 0 in decreasing order.\nAnswer: 13, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 448145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tttx when four letters picked without replacement from {t: 3, x: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/63072 and 97\/30.\nAnswer: 315360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -1. Let a(t) = t + 10. Calculate a(s) + 3*r(s).\nAnswer: s + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 864 a factor of 132134112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 2:39 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 5*z + 54, 2*f + 0*f - 3*z = 147. Let u = f - 61. Suppose -13*g = -u*g - 90. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 87770 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 227a (base 15) in base 6?\nAnswer: 53511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-17) + (-2988)\/612.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 28*c - 206. List the prime factors of v(24).\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.022 + -111.022. Let o = 108 + w. What is the nearest to -2 in 4, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v - 1. Let b be 0\/2 - 7*4\/(-14). Let l(j) = 3 - b + 0. Give -2*l(d) - 3*n(d).\nAnswer: 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 2*o + 1 + 8, 3*i - 24 = -3*o. Suppose 0 = 3*j - 5*j + 3*u + 16630, -i*j = -5*u - 41575. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1954 + 1984. What is the remainder when 165 is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 2:06 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a + 4. Suppose 5*c + 55 = 5*m, -3*m + 0*m = c - 53. Let g be (12\/(-8))\/(6\/m). Let l = 2 + g. What is s(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n + 4*f - 8, 41*f = 5*n + 44*f + 23 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 3*a + 28 - 75, 44 = 4*t + 4*a. Suppose -8*q + 3*q = -t. Which is bigger: q or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4, 5, -255, 1, -28, 10 in increasing order.\nAnswer: -255, -28, -6, 1, 4, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*r + 1 - 3\/4*r**3 - 5\/4*r**2 + 1\/4*r**4.\nAnswer: (r - 4)*(r - 1)*(r + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 3:52 PM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -336754913 divided by 4613081?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31332 and 308.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5562 - 5878. What is the third smallest value in 0, r, -4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 - -130. Suppose -10*m - o = 12. Let u be ((-12)\/m)\/(-4 + 42\/9). Solve 0*g = -u*g + 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4855954 is divided by 41.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o + 701. List the prime factors of s(0).\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4*v**2 + v. Let a = -75 - -79. Let r be ((-5)\/(-10))\/(-1*2\/a). Let t(k) = -k**2. Determine r*c(s) - t(s).\nAnswer: -3*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*s - 26*s + 44422 = 2*b, b = s + 22190. What are the prime factors of b?\nAnswer: 3, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0119 and -9.\nAnswer: -8.9881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + z**2 + 3*z**2)*(-9*z + 9*z + 20*z**2)*(228 - 457 - 2*z + 233).\nAnswer: -80*z**5 + 160*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 8*o - 20. Suppose 21*i - 22*i + 3 = 0. Let w be y(i). Let s(g) = -1 - 4*g**2 - 2*g + 5*g**2 + w*g. Calculate s(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in sixty-nine halves of a microgram?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 23 = -2*a. Let m(p) = 31*p**2 - p + 3. Suppose 0 = 2*y + 18*y - 20. Calculate the remainder when m(y) is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5520.8 - -5521. What is the fourth smallest value in -4, -2, -2\/35, b, -1\/4?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 5. Let i(s) = -s**2 - 4*s + 3. Let z be i(-5). Let k be (-3 - -1) + (-3 - 0). Let p(l) = -2. Give k*p(q) + z*r(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 6, 18 in decreasing order.\nAnswer: 18, 6, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + -1. Let i(o) = -2*o + 2 + 4*o + 3 + 0. Give i(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 c, 1 k, and 1 y when four letters picked without replacement from tsytkrtkkckcrt?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -3*h - h**3 + 1\/4*h**4 + 2 + h**2. What is u(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1561624 or 1561629?\nAnswer: 1561629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55, -2\/3, 2, -4.\nAnswer: -55, -4, -2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-76)\/(-5) - 2\/10. Suppose -2*h = -0*h. Suppose 4*p = r - 37, r + 6*p - p - 55 = h. What is the greatest common divisor of i and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s + 37. What is p(15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 758?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*-16 + 2 + 0. Let x be 6\/(-21) + (-32)\/b. Find the third derivative of -x*s**3 - 7*s**2 + s**3 + 6*s**2 wrt s.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 4*l + 2. Suppose 2*m = 4*b + 8, 0 = -4*b - b - m - 24. Let y be a(b). Solve -1 = -y*z - 7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 4, -5*s - 574 = -7*h + 5*h. What are the prime factors of h?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2950a65 - -3?\nAnswer: -2950a62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 6*j. Let k be h(-6). Suppose k = 4*g + 5 - 21. What is the smallest common multiple of g and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1446\/(-2651))\/((-72)\/(-11352)).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 3*t - 36 = -49, 0 = l - t - 11 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*y = -4*l + 118, 0 = -3*l + 4*y + 82. Let n be 14\/6 - (-6)\/9. Suppose -h + 11 = n. What is the remainder when l is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-8235)*12600\/560?\nAnswer: 6\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/17 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -239158*p + 239247*p - 445 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (357\/49 - 9)*(-14)\/(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -326156?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -22780783*-1\nAnswer: 22780783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 778?\nAnswer: -77d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4*-60\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 2, 5, -1\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/41, 0.04, -0.2, -21, -14?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -2 - (4 + -1 + 6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and 241461?\nAnswer: 241461.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2 - 1 - i + 5*i**2 + 0*i. Suppose 5 = 5*r - 2*s, 5*s - 2*s - 4 = -4*r. Give g(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.045944 to 2 decimal places.\nAnswer: -1.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 3) + -2 + 7. Suppose -2*h - 12 = -g*r, -3*r + 2*h + 4 + 4 = 0. Let j = -0.0505 - 0.2495. What is the closest to j in 0, r, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-82)\/(-3895) - (-24)\/7885?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1334523 or 1334524?\nAnswer: 1334523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((g - 1 + 1)*(4 - 1 - 1) + 5*g + g + 5*g)*(15*g**2 - 24*g**2 + 11*g**2 - 2*g).\nAnswer: 26*g**3 - 26*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-1)*15\/75*70.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19350 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 126 - 639. Suppose y = 8*t - 111. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 3*k - 3*c, 2*c + 6 = 4*k + 22. What is the common denominator of -87\/10 and ((-285)\/(-6))\/1 - k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 174555, -3.\nAnswer: -3, 3, 174555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h + 45. Let j be n(0). Calculate the highest common divisor of j and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 11:12 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1283*l - 1281*l + z = -7, 5*l + 4 = -z for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64167129 is divided by 246?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -61*v + 779 - 3646 for v.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -20 + -199?\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + h + h)*(-3064*h + 7*h**3 + 1530*h - 416*h**2 + 1533*h).\nAnswer: 7*h**4 - 416*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1752 (b) 0.2 (c) 10593\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 v when two letters picked without replacement from {v: 1, q: 2, y: 4, l: 1, z: 1, o: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zjzjzjjzzs. What is prob of picking 1 j, 1 z, and 1 s?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 23. Suppose 0 = 11*x + 97 - l. List the prime factors of x*(-4 - (-78)\/(-21)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 90.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 6 = 4*o, 5*o - 2*o = -2*f + 5. Suppose 4*i + f + 3 = -2*q, 0 = 3*i - 3*q - 6. Solve i*x - 4*x + 4 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 6 - 10. Let c(k) be the first derivative of -2 + 1\/3*k**3 + 3\/2*k**n + 3*k. Determine c(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**4\/5 + 604*z**3 + 143246*z**2\/5 - 146264*z\/5 = 0.\nAnswer: -47, 0, 1, 1556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -7*h**5\/5 - 3*h**2\/2 - 21*h. Find the first derivative of a(k) wrt k.\nAnswer: -84*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r - 5*r - 7*r in the form q + d*r and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 715 by -143.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bpzppzobzpzpo. What is prob of sequence zbo?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 = -r - 2*o - 92, 0 = -3*r + 2*o - 21 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/14 + (-2327)\/(-3759). Determine l so that n*l**3 - 2\/3*l + 0 - 1\/3*l**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -68340 or -68338?\nAnswer: -68340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -w + 4*f, -583*w + 80 = -578*w + 3*f + f for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 485606 is divided by 18676.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101 - 10111?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(0 + 1 + 0)*(-49*p - 52*p + 91*p - 3).\nAnswer: -10*p - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 672.3819ms?\nAnswer: 0.6723819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1021970428.\nAnswer: 2, 31, 41, 179, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-184)\/(-40) + (-2)\/(-5). Suppose -4*n + t*n = 14. Suppose 15*l - 103*l = -3432. What is the remainder when l is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from huhhlheeul. Give prob of picking 2 u and 2 l.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.261 - 0.039. What is the closest to -1 in 1\/2, d, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -j + 12, 3*h + 8 = 2*j - 3*j. Let s = 10 - 8. Suppose s*a = 12 + 10. What is the remainder when a is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of 5*y**5\/12 - y**3\/3 - 24*y**2. Is z(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 8. Suppose -2*o + 6 = 2*s, 3*s + 14*o - 7 = 12*o. What is the third biggest value in r, s, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 30, 55, 80, 105, 130?\n\"Answer: 25*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6480) + sqrt(6480)*-1)\/(sqrt(9)*-3*3)*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000220000 (base 3) in base 4?\nAnswer: -10331223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/21 - 645396*l**2\/7 - 24524326*l\/7 - 698936432\/21.\nAnswer: -2*(l + 19)**2*(l + 968056)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -3*v**5\/20 + v**4\/4 + v**3\/2 - 3*v**2\/2 + 8*v. Suppose y(u) = 0. What is u?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 328.1082 kilograms to nanograms.\nAnswer: 328108200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-5) + 5785444\/(-1440))*2. Let n = -8032 - v. Find the common denominator of 113\/60 and n.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(2736) + 0 + 1)**2 + ((0 + sqrt(2736))*-4*3)**2)*-6.\nAnswer: -2380326 + 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 35.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 485277*s**3 + 282*s**2 - 18*s + 2 wrt s?\nAnswer: 2911662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 10*l**2 - 9*l + 8. Let a be c(9). Let b(z) = -z - 4*z - z + a*z. Let f(d) be the second derivative of 7*d**3\/6 - 36*d. Calculate f(b(k)).\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k - 14*k + 3*k.\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 320 and 1568.\nAnswer: 15680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2985 = u + 375. Let t = u - 277. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.8 plus 39.009?\nAnswer: 31.209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**3 - 2*k**2 - k + 2. Let u be d(2). Let t = u + -8. Suppose -75 = -2*h + 5*l, 2*l = h - t*l - 36. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 340*n + 705*n + 18810 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2030 divided by 29?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 3*s - 14. What is the remainder when t(8) is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-116)\/8)\/(1\/8). Let l = 63 + b. What is l rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of 0 - 1\/12*n**4 + 3*n**2 + 1\/2*n**3 - 1\/120*n**5 + 0*n. Let t(a) be the first derivative of i(a). Give t(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 1. Let a be f\/(1 + (-9)\/3). Suppose a = -p + 3. Solve 3*l - w - 5 = 0, -l - w + 16 = p*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5886 and 22.73737?\nAnswer: 5863.26263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccr when three letters picked without replacement from cccrccrrccrcccrccrr.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 4:33 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*k - 10*k**3 + 8*k**3 + 11*k.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*c**5 + c**4*d - 5*c**4 - c*d - 310 wrt c?\nAnswer: 120*c**3 + 12*c**2*d - 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 60150.68101 to the nearest one hundred.\nAnswer: 60200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 + (24928\/228 - 57)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1354932 divided by 4.\nAnswer: 338733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 120.904 rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103025*y - 103018*y - 102886*y + 308927*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1 (b) 0.4 (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 9*h**2 + 2307*h - 2126. What is b(-257)?\nAnswer: -584","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -3*k + q + 197, 3*k = -4*q + 194. Suppose g - 166 = k. Calculate the highest common factor of 29 and g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - v - 5*v**2 - 47 + 21)*(-5*v + 0*v + v + (v - 4*v + 2*v)*(2 + 0 - 3) + 2*v - 2*v + 2*v - 2*v - 3*v + 6*v + 2*v - 5*v + 5*v) - 24*v + 24*v - 5*v**3.\nAnswer: -15*v**3 - 2*v**2 - 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -23, -17, -9, 1?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 3\/2, -0.1, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 17153*o**2 - 7*o + 8. Let i be z(4). Suppose 14*w + i + 316372 = 0. 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: What is the fourth root of 211062 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 607*x**2. Let q(t) = -808*t. Determine q(k(w)).\nAnswer: -490456*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -3. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14351 + 23199. Is 56 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7 - -3 - -3766 - 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -935.3 to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r = 2*r - 4*x + 11, -4*r + 7 = 5*x for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1628 + 1505. Which is smaller: j or -489\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -1238*m**5 + 4467*m - 5099. Differentiate q(h) wrt h.\nAnswer: -24760*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50 + 50. Solve 5*o - 5 = 5*j, k = o - 5*j + 4 - 13 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2*g - 7*g = 10, 0 = -2*o + 5*g. Let h(y) = 4*y. Let v(f) = -f. Let n(k) = o*v(k) + h(k). Let j(z) = -46*z. Give n(j(s)).\nAnswer: 46*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6332752 is divided by 81?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205*h**3 + 748*h**3 + 708*h**3.\nAnswer: 1251*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - 179*j + 175*j - 36, -4*j - 36 = -2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1542.8 - -1542.4. Which is the fifth biggest value? (a) -4\/7 (b) 0.4 (c) -4 (d) h (e) -26\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 171102510 and 114068340?\nAnswer: 342205020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-4)*(343\/(-4))\/(70560\/(-16128))\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sps when three letters picked without replacement from pswpwwwswsssw.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*t - 530 = -570, 5*r + t - 56 = 0. Let n be (-7 + 0)\/((-2)\/4). Let v = -10 + n. What is the remainder when r is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 243 + 239 = w, -16*w + 50 = -20*w - 3*x for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01944 rounded to 3 decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 18, 5, -5, -2, 0, -421 in descending order.\nAnswer: 18, 5, 0, -1, -2, -5, -421","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + u**2 - 1. Let m(i) = 9*i**2 - 9. What is -m(d) + 9*r(d)?\nAnswer: -9*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -4.8. Let w = v - 3.2. Let h = 0.84279 - -1.15721. Which is the closest to 0.6? (a) w (b) 1\/4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**2\/2 - 11*l - 24 = 0.\nAnswer: -2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*j - 85*j = -5*h - 12, h = -4*j + 39. Determine g so that 2\/3*g**h + 28\/3*g + 14\/3*g**2 + 16\/3 = 0.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - -101. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-13)\/(-39) + (-505)\/(-15). Suppose 0 = 3*y + 5*g - z, -30*y + 5*g = -34*y + 37. Solve y*j + j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - w + 2. Let p be a(0). Find the third derivative of -35*o - o**5 + 35*o - 6*o**5 + 17*o**p wrt o.\nAnswer: -420*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f**3 - 3*f**3 + 3*f**3)*(-1 - 4 + 1) - 1 + 1568*f**2 + f - 13*f**3 - 1568*f**2 to u*f**3 + b + x*f + r*f**2 and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*m + m = 8, 2*s - 5*m - 1 = 0. Calculate the remainder when 36 is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -17\/80397078?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1638 and 3458.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 9*w**2 - 9*w - 4. Let c be d(-8). Let u = c - 2. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, y: 1, v: 4, k: 6}. Give prob of picking 1 y and 1 v.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -1359*n**3 - 3624*n**2 - 906. Let c(f) = 4*f**2 + 1. Determine 906*c(z) + t(z).\nAnswer: -1359*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6716, -6716, -6706, -6680, -6632?\nAnswer: -6556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -15*u. Let c be a(-4). Suppose -7*b = -2*b - l - c, l = 0. Is 6 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 + -13. Let p = s + 17. Does 14 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -5*w. Suppose 3*p + 2*p - 20 = w. Solve 2 = 3*g + 5*m, -5*g - p*m = 1 - 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 105665, 105757, 105931, 106229, 106693, 107365, 108287?\n\"Answer: 7*l**3 - l**2 + 46*l + 105613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64*n**4 - 35*n**4 - 19*n**4)*(2*n - 2*n + 4*n).\nAnswer: -472*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13044 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 6:16 AM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(0 - h**2 + 0) - 3*h**2 - 3*h**2 + 5*h**2 + (0 + 2*h + 0)*(-h + 2*h - 5*h + (-3*h + 0*h + h)*(-1 + 2 + 1)).\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**2 - 6*q + 7. Let f = 83 + -8. Let b(m) = -70*m - 8 - 2*m**2 + 3*m**2 + f*m. Let p(k) = 6*b(k) + 5*y(k). Differentiate p(u) wrt u.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -236*b**2 - 178*b**2 - 181*b**2 - 270*b**2 + (2*b - 3*b + 2*b)*(3*b - 3*b + b).\nAnswer: -864*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -13*w**3\/2 + 53*w**2 - 147*w + 78. Let y(u) be the first derivative of z(u). Find the first derivative of y(x) wrt x.\nAnswer: -39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 11:42 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/(-14) - 5\/(-5). Let t = -4 + 4. Suppose -w - 2*w - 3 = t. Is w < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3130837575 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 square root of 5298376 to the nearest integer?\nAnswer: 2302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -6.92. Let h = 398799.9200004 - 398800. Let y = o + h. Round y to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3*k = -27, 3*x + k = 6*k - 17. Let l = x - -34. Calculate the highest common factor of l and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1067\/52 + 270\/13. Factor 0*y + m - 1\/4*y**2.\nAnswer: -(y - 1)*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.07 smaller than 4\/68187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1050 (base 6) to base 10\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54 + 56. What is the units digit of (-9)\/(9\/p) + 194?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 0)*(1 + 0). Suppose -4 = s + 1. Put s, g, -3 in descending order.\nAnswer: g, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -385*u - 4. Let s = 21 + 4. Let i = s + -28. Is z(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*m**4 - 2*m**4 - 2802559 + 4*m**3 + 2802561 + 37*m to the form o*m + r*m**4 + s*m**3 + x + h*m**2 and give o.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24305 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 2*j + 2*z, -4 = 2*j - 2*z. Let d = j + 12. Which is smaller: 5 or d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109232572.\nAnswer: 2, 27308143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 585\/6 - 40\/16. Let i = 9\/2189 - 195271\/109450. What is the common denominator of (-7)\/(-28) - 4\/(64\/t) and i?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i**2 - 25*i + 14. What is the tens digit of f(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 11) in base 5?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.503 + -11.503. Let g = 0.8 + -0.3. Which is the third smallest value? (a) 1 (b) i (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 674937.2 kilograms to tonnes.\nAnswer: 674.9372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qe when two letters picked without replacement from eeggqgeegcg?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 19*m**2 - 19*m + 23. Let l be j(18). Solve -n - 5*k = l, -4*k + 2 = 5*n + 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = l + 7, 3*v + 4*l - 2*l - 1 = 0. Suppose 5*a = 2*k + 208, v*k = -2*a + 7*k + 80. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10405 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o + 700 - 602. Let l(u) = u**2 - 13*u - 19. Calculate l(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + w - 1437, 0 = c - 2*w - 76 - 218. What is the smallest common multiple of c and 16?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2260*k**3 + 18*k**2 + 6*k - 7687. Let u(d) = -6785*d**3 - 51*d**2 - 17*d + 23061. Let n(f) = -17*h(f) - 6*u(f). Differentiate n(i) with respect to i.\nAnswer: 6870*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**2\/2 - 1568637*l\/2 + 784320 = 0. What is l?\nAnswer: -522880, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 501024956 a multiple of 2924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 11:28 AM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 250.7821 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 549, 559, 557, 537, 493, 419?\nAnswer: 309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.42 and 8.21.\nAnswer: 3.4482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/7*126\/288?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -97*w + 511. Determine b(1).\nAnswer: 414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 17271296.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 6*t**2 + 6*t + 7. Let a(n) = n + 21. Let h be a(-11). Let u(x) = x**2 - 10*x - 6. Let c be u(h). Is w(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010905886 rounded to 6 dps?\nAnswer: 0.001091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4.819*-243\nAnswer: 1171.017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/7)\/((-20)\/(-70)). Solve 0 = -j*l - 0 + 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9674472209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 4503*p**2 + 14*p - 1. What is the units digit of o(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*210\/12*9\/27.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**3 - 3*c**2 - 6*c - 3. Determine s(-2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152450788.\nAnswer: 2, 7, 5444671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + (-5)\/((-5)\/(-2)). Let m = 2 + q. What is the second derivative of -x - m*x**3 + x**3 + 0*x wrt x?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 176029, 352055, 528083, 704113, 880145, 1056179, 1232215?\n\"Answer: v**2 + 176023*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*k - 10*k. Suppose -u + 3*u - 5*o + 10 = k, -o - 6 = -2*u. Is (u\/(5\/274))\/(4\/10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a centimeter in micrometers?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2513808 and 720?\nAnswer: 12569040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of n**5\/60 + n**4\/6 - 7*n**3\/6 + 2*n**2. Let x be q(6). Let j be 2 + -64151*x + 1. Round j to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -7*q**2. Let j(f) be the second derivative of 422*f**3\/3 + 5166*f. Give j(c(z)).\nAnswer: -5908*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 10*x + 1. Let t be j(1). Suppose 5*i + t + 24 = 5*u, -9 = -u - i. Calculate the highest common factor of u and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2478 - 2476.273. Let x = 1.726279 - r. What is x rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*n - 46 = 0, 70 - 53 = p + n. What is the remainder when 841 is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -99763, -99753, -99737, -99715, -99687, -99653?\n\"Answer: 3*c**2 + c - 99767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 take away 114319489834?\nAnswer: -114319489817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + 10*d - 28. Let l = d - 4. Suppose 0*m - l*m = -21. Solve 3*i - m = -2*w, 5*w = -2*i - 2 - 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -1 + 26. Let n = -156 + 777\/5. Sort 3, n, a in increasing order.\nAnswer: n, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9)\/(-15) - 0 - 1208\/(-20).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -711 - -917. What is the common denominator of ((-3)\/3)\/(20\/p) and -45\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b3 (base 14) in base 4?\nAnswer: 101301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 297.3973 - 0.8673. Let m = -58.63 + r. What is m rounded to the nearest ten?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 123300132 (base 4) to base 7\nAnswer: 652320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 791 in -0.2, -4\/3, 4, -2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of s**6\/360 + 11*s**5\/120 + 23*s**4\/24 + s**3\/6 - 66*s**2. Let c(n) be the second derivative of d(n). Determine c(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - 10. Suppose -n - d*z = -8, -3*z = -2*n + n - 8. What is the tens digit of n + 1 + 14 + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(72) - ((sqrt(72) - sqrt(72)*-2 - sqrt(72)) + sqrt(72)))\/(-4*sqrt(18)\/sqrt(3)) + (sqrt(75) - (-1 + sqrt(75)) - sqrt(27)*3))**2.\nAnswer: -80*sqrt(3) + 965","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a meter in millimeters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s - 3. Let g(t) = 5*t - 8. Let u(n) = 3*g(n) - 8*j(n). Let p(y) = -y - y**2 + y. Determine p(u(w)).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*(-13)\/(-26) - -10. Solve -h*i = 13*i + 21 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 416\/875 + 24256\/7875. What is a in 16\/9*a - s - 2\/9*a**2 = 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/12*8\/(-6). Let b = -2 - h. Let x be ((-2 - -1) + b)*5. What is the third smallest value in -0.1, x, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 161015712 divided by 5072\nAnswer: 31746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 65 and -72?\nAnswer: -4680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -2*u - 66. Let k(z) = -z**3 - 10*z**2 + 28*z + 123. Let a be k(-11). Let i = u - a. What are the prime factors of i?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sa when two letters picked without replacement from acaaacacsaaaasa.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15582, -124674, -420748, -997284, -1947762, -3365662, -5344464, -7977648?\nAnswer: -11358694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 10556354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/3)*t)\/t**(-1)*(t*t**(3\/8))\/(t*t\/t**(-2)))**50 assuming t is positive.\nAnswer: t**(-575\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 24*o**3 + 336*o**2 + 12*o + 178. What is i(-14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + sqrt(343)*-2)**2 - (sqrt(343) - (2 + (-1*sqrt(343) - sqrt(343))))**2) + (3*(2*sqrt(343) - sqrt(343) - sqrt(343))*1 + -2)**2)*6.\nAnswer: -10266 + 840*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 86 = -2*a + 13*w - 6*w, -88*a - 2*w = -248 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*t = 22*t + 3. Let w(q) = q**t + 0 + 6*q**2 - 5 - 2*q - 7*q + q. Is 10 a factor of w(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 56\/(-12) - (-1)\/(-3). Is 9 a factor of (k\/20*-17)\/((-2)\/(-16))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(75) - (-3 + sqrt(75))**2 - (sqrt(132) + sqrt(132) + 3*(sqrt(132) - sqrt(132)*3) + sqrt(132))\/sqrt(11).\nAnswer: -84 + 61*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6860 is divided by 30.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {f: 3, w: 4, p: 4}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, b: 5, x: 6}. What is prob of sequence bjb?\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1219a (base 11) to base 8\nAnswer: -42175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 830.8283 years?\nAnswer: 8.308283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 838*p - 1788. What is the thousands digit of a(20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -12, -v = -5*g - 0*v - 147. Let w be (2 - (-57)\/g) + (-11)\/22. Which is the biggest value? (a) w (b) -10\/7 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 5*u**2 - 6*u. Let q = 8 + -5. Let t be 1 - 3 - (q - 1). What is s(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7808)\/(-1098))\/(32\/216).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-6)\/936)\/((-7)\/(-1918)) and -85\/66?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 0*o**2 + 4*o + 5*o**3 + 0*o**2 - 6*o**3 + 3*o**2 + 2. Let c be j(4). Suppose c*n + 9*h = 4*h + 47, -21 = -n - 2*h. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -630 + 632. Let i(g) be the second derivative of 0*g**n - 3*g + 0 + 0*g**4 - 3\/20*g**5 - 1\/3*g**3. Find the second derivative of i(k) wrt k.\nAnswer: -18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9531 and 2133179?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 23770502 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + -4 - 5 - (-30 - -36).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 20, a - l - 12 = 5*a. Let f = a + 3. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 748*r - 2*r**2 - 10 + 4.\nAnswer: -2*r**2 - 748*r - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 3*d = 17, 0 = -j + 2*d - 1 - 1 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25*1*3*(9\/207)\/(39\/299).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -1\/5 (b) 3 (c) 292\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 95426 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11.76 - -12. Let z = 0.24 - m. What is the smallest value in -0.4, 0.2, z?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -o**5\/30 - 7*o**2\/2 - o. Let b(x) be the first derivative of r(x). Solve b(d) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (7 - 18) - -8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*b**3 + 8*b**3 + 5*b**3.\nAnswer: -13*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b, -65 + 235 = -2*r - 2*b. Let y be (-2074)\/r + 4\/(-10). Do y and 22 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**6\/120 + 2*o**5\/15 - o**4\/24 - 7*o**3\/3 - o**2 - 73*o. What is l(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8338489 - 18*t - 16676747 + 8338258.\nAnswer: -18*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-7 - -14) + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 + -42. Suppose -10 = -b + 3*k, -k - 53 = -2*b - 23. Let z be 2*-1 + b\/6. What is the third smallest value in z, 0.3, x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus 1968?\nAnswer: 1968.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 5 + (4 - 4 + 2)*(-3 + 4 - 3)*(-303 - 464 + 188))*(0*p**2 - 3*p**2 + p**2) - 1 + p**2 + 1.\nAnswer: -4625*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*c**2*q**3 + 3*c**2*q + 151*c*q**3 - 10*q**3 - 101593*q wrt q?\nAnswer: -60*c**2*q + 906*c*q - 60*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -5*p**3 + 27*p + 29. What is j(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -53048 * -0.04.\nAnswer: 2121.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1224 and 1767975.\nAnswer: 721333800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 171 + -167. Suppose 15*z - h*z = 3223. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**4 + 2618*d**3 - 79556*d**2 + 408576*d + 490752 = 0.\nAnswer: -1, 8, 24, 1278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2 + (sqrt(112) - 2*sqrt(112)*-2))**2 + -1.\nAnswer: -240*sqrt(7) + 2835","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -147 - -146.7. Which is the second smallest value? (a) q (b) -0.5 (c) -3\/2 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = -5*f - 16. Let b = 10 - 2. Suppose 0 = l + l + b, 0 = -5*v + 3*l + 12. Solve -f*u + u + m - 10 = v, u = -2*m - 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445.393 rounded to the nearest 10?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t = 5*t + 1098000. Round t to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**3 - 18*i**2 - 186426 + 44*i + 186426 = 0.\nAnswer: -11, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c - 2*d = 28, 7*d - 8*d - 2 + 0 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99989.\nAnswer: 99989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 - 43976*h - 175968.\nAnswer: 4*(h - 10998)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 908 and 5082.\nAnswer: 2307228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -103110*y**2\/23 + 24024626*y\/23 + 932\/23.\nAnswer: -2*(y - 233)*(51555*y + 2)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 7*q + 143. Let h(g) = g. Calculate -5*h(n) + k(n).\nAnswer: 2*n + 143","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 7:34 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 8:23 PM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 p when two letters picked without replacement from phhoophhyhoohphhhph.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -115*w**2 - 7*w + 3. Let j(k) = 465*k**2 + 25*k - 14. Give -3*j(r) - 11*x(r).\nAnswer: -130*r**2 + 2*r + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**2 + 2*t**2 - 3*t**2)*(3*t + 0 + 0) - 7*t**3 + 2*t**3 + 3*t**3.\nAnswer: -14*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 209*y - 205*y - 4*m - 12, -4*y + 2*m = -20 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + q - 4*q = -5, 2*d - 5*q - 33 = 0. Suppose d*m - 9*m = 120. Let n = m + 159. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7.5 and 31881.32.\nAnswer: 31873.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v = 4*v - 4*g + 185, -42*g + 1690 = 283*v - 281*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42844981 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1037484 divided by -49404\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 s, and 2 j when four letters picked without replacement from ytysjjisb?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8871\/25620 - -6*(-15)\/300 and -5\/24?\nAnswer: 10248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 286 = 3*s + 13, 4*s = j + 351. What is the highest common factor of s and 232?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from nnxnx?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -13. Let p be b\/((-9)\/3)*-2. Suppose -l - l = 4*f - 210, 5*l + p*f = 555. What are the prime factors of l?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24855.88l in millilitres?\nAnswer: 24855880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14.97 - -2.23. What is n rounded to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g - 10. Let w be j(-8). Let h be 5 + 1 + w - 1. Suppose -55 = -h*t - 2*t. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -224, -223, -220, -215, -208, -199, -188?\n\"Answer: g**2 - 2*g - 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3 + a**2 - 15*a + 6 - 3 - 3. Let w be p(15). Solve 0 = 2*k - 2*v + 4, -4*k - v + 8 = w*v for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 4) in base 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -380 + 138. Which is smaller: -239 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 t, and 1 n when three letters picked without replacement from {n: 2, k: 1, t: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 3*j**2 + 5*j - 1. Let n(s) be the first derivative of s**4\/4 + s**3\/3 - 689. Give -3*n(i) + q(i).\nAnswer: -2*i**3 + 5*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - x + 20 = 0. Is 1 - 0 - (5 + x)*-556 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*t - 408*t + 12936 - 245 = 0 for t.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express k**2 - 26 + 30 - k**2 + 2*k**2 in the form u*k**2 + y*k + b and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3*m = 15, -3 = -6*m + 3*m. Suppose 4*d + 8 = -4, -5*a + 34 = -3*d. Let q = a - b. Put 0, -2, q in increasing order.\nAnswer: -2, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -589.5976 - -587.59759936. Let f = n + 2. 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: Suppose -7 = 2*s - 5*y, -3*s - 4 = 2*y - 3*y. What is the least common multiple of 1 and s*4\/4*(4 - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(225)\/sqrt(5))\/(sqrt(81)\/(sqrt(9)*2) - sqrt(9)) + -1.\nAnswer: -1 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-11) + (-3 + (-201)\/(-66))\/(-2). Which is the nearest to o? (a) 0.5 (b) 0.2 (c) -0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -73197503 + 2.7.\nAnswer: -73197500.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 48\/95 + 2\/(-5). Let m = 2.7 + -9. Let b = m + 6. Put i, 3, b in ascending order.\nAnswer: b, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, 3, 1, -12?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -514\/3 - -170. Find the common denominator of x and 48\/499.\nAnswer: 1497","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 86 = 5*n, -4*n + 2*c - 12 = -3*n. Let l = n - -10. Put 0, -4, l in decreasing order.\nAnswer: 0, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2492\/61 - 9033378\/221125. Let v = -7536\/518375 + w. Which is smaller: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(684)*-6*3)**2.\nAnswer: 886464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 13 = 3*r, 32 = -3*r + 3558*s - 3554*s for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25746815*r**2 + 3*r + 34255421.\nAnswer: 51493630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75*t**2\/2 - 261*t + 21\/2.\nAnswer: -3*(t + 7)*(25*t - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -14*f. Let v(i) = i. Let y(z) = -r(z) - 2*v(z). Suppose -2*c - c - 7331 = -5*s, 0 = s + 5*c - 1483. Let o(d) = d - 1468 + s. Calculate y(o(m)).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1135136 is divided by 36612.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sjgcsigy. Give prob of picking 1 y and 2 g.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4523895336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4\/407 + 20773\/1628. Let l be 1\/(4 - 735\/185). Suppose 45*y - 104 = l*y. Which is bigger: j or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -677290903*o**3 - 373423161 wrt o?\nAnswer: -2031872709*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 77495*g*s**2 + g*s + 1118235*s**2 wrt g?\nAnswer: 77495*s**2 + s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 444 + 8?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 555 = -17*c - 1978. Which is smaller: c or -150?\nAnswer: -150","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + 5*o - 130. Suppose 3*i + h = 4*i + 2*h + 5, -32 = 4*h. Solve -5*d = -3*b + o, -5*d - 4*b = -i*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + 5. Let a = 111 - d. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 11:49 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 72535101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 + 25. Suppose -206 - 2 = -3*h - v*p, -p = -2*h + 146. What is the highest common divisor of 9 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 10, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56419946, -112839890, -169259834?\nAnswer: -225679778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 10*s + 90. Let j be w(-8). Suppose -18*t + j*t + 200 = 0. Solve 0 = -p - 4*p - t for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 162 = -216. Is 6 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -156 + (-7190)\/(-70) + (-4)\/(-14)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -300 - -299.93. Let i be 6\/(-4)*(-4)\/3. Put r, -4, i in increasing order.\nAnswer: -4, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (15 + 1)\/(-4). Let i(d) = -d**3 + 8*d**2 - 6*d - 3. What are the prime factors of i(r)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/5 or -7\/3084?\nAnswer: -7\/3084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.8 - -4.1. Let g = -4.49 - x. Which is greater: -1\/4 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10, 6, 2, 4, 18, 50, 106?\n\"Answer: o**3 - 6*o**2 + 7*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 93.069 + -93. Round w to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, e: 1, d: 4}. Give prob of sequence vdvv.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40 + x**2 + 59*x - 47*x**4 - 60*x + 39 to the form s + l*x**3 + z*x + o*x**4 + w*x**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -j**8\/10080 - 109*j**5\/60 - 143*j**2. Let g(s) be the third derivative of k(s). Let p(x) = -x - 31. Give g(p(h)).\nAnswer: -2*h**2 - 124*h - 1922","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**3 + z**3 + z**3 + (-5 - 2*z**2 + 5)*(1 - 1 - 2*z).\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 10:31 AM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 545*k + 545*k - 8*k**2 - 1097*k + 7. Let y(n) = -7*n**2 - 6*n + 6. Give -6*s(m) + 7*y(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -8. Suppose -y*m = 3*z - 21, 5*m = z + z. What is the third derivative of 4 - 3*a**3 - a**m - 4 + 0*a**2 wrt a?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/((-114)\/(-180)))\/(((-116)\/261)\/((-12)\/(-18))).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 24*q + 28*q + 83, 4*j - 277 = 5*q. What is the greatest common factor of 2583 and j?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 667738*w**3 - w**2 + 4*w + 46594.\nAnswer: 4006428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21631 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.27 + -11.73. Let y = -12.2 - p. Let h = 159.2 + -159.3. What is the fourth biggest value in -6\/11, -0.6, y, h?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1550*l + 1167 + 2185 = -5813 - 7885 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.12 + 0.6. What is c rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 144976 and 10941424.\nAnswer: 8528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -83*y - 617. Let q(h) = -69*h - 615. Determine -5*i(s) + 6*q(s).\nAnswer: s - 605","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.13 (b) -242 (c) 0.2 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -20 (b) -96 (c) -4 (d) -3 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-3\/2))**11)**(-1\/47)\/(((o\/(o**7\/o))\/o**(2\/3))\/((o**(-7)\/o)\/o*o*o\/(o*o**(-8)))) assuming o is positive.\nAnswer: o**(1433\/282)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1510806 - 1072926 = -5*m - 134*m. What are the prime factors of m?\nAnswer: 2, 3, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296 = 2*g + 4*a - 192, -g = 4*a - 248. Calculate the greatest common divisor of g and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 78, 154, 230?\n\"Answer: 76*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 52 = 4*q, 0*k = 4*k - q - 52. Let d = 60 + k. Let h(v) = -v**3 + 6*v**2 - 3*v - 5. What is the remainder when d is divided by h(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-1))**(2\/11)\/(z**(-5)\/(z**(-4\/7)*z)) assuming z is positive.\nAnswer: z**(446\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 491\/22 + -240\/11. Which is the biggest value? (a) 5 (b) 4 (c) t (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -2. Let y(j) = j**3 - 5*j**2 - 5*j - 8. Let x be y(6). Let w be x - (-4 - f\/(-1)). Which is the second biggest value? (a) -0.3 (b) 4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**2 + 841*f - 4930. Give z(6).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2240439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v - 1 + 1)*(6 + 0 - 4)*(-39 - 163 + 41) as w*v + y and give w.\nAnswer: 644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253003?\nAnswer: 253003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2377213 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 7321*u + 13883*u + 6341*u + 9661*u as f + d*u and give d.\nAnswer: 37206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2021*t - 24*t + 43*t as k + s*t and give s.\nAnswer: 2040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132161 is divided by 44049.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 13*t - 308. Let r be m(20). Let w be ((r\/(-45))\/4)\/(26\/65). Determine p, given that 1\/3*p**2 + w - p = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/((-65)\/(-10) + -8)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from babkwbkwktbkktkkwkt. What is prob of sequence wkak?\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.7776 + -6.0729. What is z rounded to 1 dp?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w. Let m(l) = -3*l + 5*l + 2*l - 2*l. Determine m(q(n)).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2973910)\/115 + 10\/115. What is y rounded to the nearest 1000?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(-20))\/((-8)\/20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -10 + -16 + 19.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n**3 + n - 2*n**2 + 4 - 3 + 2*n**3 + 7*n**4 + 1 to i*n**3 + o*n + q + x*n**2 + z*n**4 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.515*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 28, 91, 170, 277, 424, 623?\n\"Answer: 2*v**3 - 4*v**2 + 61*v - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 1038*q**2 - 8236*q + 4114. What is o(-1030)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-88)\/(-231) - 8\/(-28)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 263972, 5, -5 in descending order.\nAnswer: 263972, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1595*-2.2.\nAnswer: 3509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 140, -2, -1966, 0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 9:34 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 589.08 times -21.1\nAnswer: -12429.588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f + 30. Give v(18).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z + 2*z - 128. Let b be 376\/10 + z\/(-80). Let q = -35 + b. Let c(u) = -u**2 + 4*u + 1. Determine c(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46291, -92078, -137917, -183832, -229847, -275986?\nAnswer: -322273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-82 - -34) + (10 - (3 + 9) - 8).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 217 - 111. Let x = r + -48. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 771529618 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/7260 and 17\/7236?\nAnswer: 4377780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 3*y**2 - 9*y - 2. Let p be j(5). Suppose 182 + 634 = p*l. Suppose l = 2*c - 74. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of d**7\/7 - 11*d**6\/30 + 183*d**4\/2 + 940*d. Find the third derivative of t(q) wrt q.\nAnswer: 360*q**2 - 264*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-21)\/h*h**23\/h)**(-2\/9) assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -111 + 13 - 23 - 7 - 17*s - 54. Determine d(-12).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from zzzzzzuzuzyzzy?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 9\/44030 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - -1*(sqrt(2) + -1)) + 5.\nAnswer: 2*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 3*f, 4 = -g - 2*f + 29. What is the highest common divisor of 105 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 + 113 = -5*x. Sort -2, x, 0 in descending order.\nAnswer: 0, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.256, -5, -1473 in decreasing order.\nAnswer: -0.256, -5, -1473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1440120 (base 8) to base 2\nAnswer: 1100100000001010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2384 a factor of 722909787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 + 1 - 29 + 556*r + 617*r - 6405*r as l + j*r and give j.\nAnswer: -5232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -x + 2*k, -4*k - 20 = -0*k. Let w be x\/8*-2*7. Suppose -w = -s + 85. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, t: 9, y: 1, g: 4}. What is prob of picking 1 y, 2 t, and 1 g?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-45 - (-55 - -19)) + 64\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4*200\/(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(22\/(-4) - -1). Let b = -574.29 - -577. Let p = 2.64 - b. What is the second smallest value in 0.5, d, -0.1, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1096, -1087, -1064, -1021, -952, -851, -712?\nAnswer: -529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -120 - -123. Let z(k) be the first derivative of -1\/4*k**4 + 0*k**l + 0*k**2 + 3*k - 4. Differentiate z(s) wrt s.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 662 = 11*i - r + 6*r, -i + 808*r - 805*r + 74 = 0 for i.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r**3 + 51*r**2 + 8*r - 127. Give n(-10).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(-17*x**2 + 9*x**2 - 10*x**2 - 4*x + 2*x**2 + 4*x + (0*x - 3*x + 2*x)*(-x - 3 + 3)).\nAnswer: 30*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6048b - 32?\nAnswer: 60459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - j = -130. Suppose 0*u - 22 = -11*u. Put u, j, 14 in decreasing order.\nAnswer: 14, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/18 and -9\/27752548.\nAnswer: 249772932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*((-2)\/(-6) - 130\/3). Suppose 8*b = -6 + l. Suppose -156 = -b*o + 6*o. What are the prime factors of o?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1054)\/4743 - 872\/(-360).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84790217?\nAnswer: 19, 4462643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - 16. Suppose -m - 5 + 13 = -2*s, -3*m + 2*s + 12 = 0. What is the derivative of 1 - m*a**2 - 2*a**k + 0 + 3*a**2 wrt a?\nAnswer: -2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249 = 53*h - 37 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -15. Let q(r) = -r + 1. Suppose 0 = 11*v - 120 + 109. Let w(i) = v*a(i) + 15*q(i). Let p(y) = -3*y + 0*y + 0*y. Give w(p(l)).\nAnswer: 45*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40902.87 + -40535. Let l = 12.7 - -353.3. Let h = l - w. What is h rounded to 1 dp?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3116 > 3112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -43*r**2 + 43*r**2 - 11*r**3 + (-515*r + 515*r - 32*r**2)*(3*r + r - 2*r).\nAnswer: -75*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -4. Let t(s) = s**2 - 8*s - 7. Let y be t(q). Solve 2 = -2*g - 4*f, y*f + 0*f = 2*g - 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1871 - 1847. Suppose 12 + 20 = -4*p. What is the lowest common multiple of (-2 - (-3)\/3)*p and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -81.23 + 82. Let l = d - 0.07. Let a = -0.8 + l. Which is bigger: a or -6\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fccffcccffffcfjdfccd. What is prob of sequence fjc?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0*h**2 + 7*h**2 + 0 - 9*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 9, 1, -5, -18 in increasing order.\nAnswer: -18, -5, 1, 9, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 175388275759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x**3 + 3*x**3 + 3*x**3)*(x + x - 4*x) + (4*x**3 + 3*x**3 - x**3)*(-2 + 2 - 2*x).\nAnswer: -14*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 515 is divided by 251?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 + -2 - 888\/592?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -1322115*p + 15865378. What is k(12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 9.017. Let f = 3.3 - 3.913. Let a = f - x. What is a rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**5 + 141*m**4 - 255*m**3 - 3221*m**2 + 3192*m + 20016 = 0?\nAnswer: -3, 4, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0\/490*1\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l + 60 = -5*i, -5*i + 14 = -4*l + 60. Let v = -126676\/113 + 1121. Is v smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(3\/5)*n\/n**(16\/3))\/((n*n**(-2\/25))\/((n**(-2\/23)*n)\/n*n)) assuming n is positive.\nAnswer: n**(-4727\/1725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -173.079 + 173. Let j = c - -0.453. What is j rounded to 2 decimal places?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -31*f**2 - 9*f - 16 - 264*f**3 + 262*f**3 - 7*f. Let p be g(-15). Is -1\/453 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7265\/1398 + -7\/233. What is the common denominator of f and 55\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 7*r = 12. Let p be (-6)\/8 - 78\/(-8). Let c = 12 - p. Is r smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3330 and 10.\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30*c**3 - 2*c**2 - 332*c + 1 wrt c.\nAnswer: -180*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 23*a**3\/6 - a**2 - 18*a + 61. Let j(f) = -f - 36. Calculate j(v(m)).\nAnswer: -23*m - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -31*t**2. Let c(z) be the second derivative of z**4\/12 - 8*z. Give b(c(k)).\nAnswer: -31*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddjbdujmjfj. Give prob of sequence fd.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 10. Let r(c) = w*c + 2*c + 0*c - 3*c. Let u(d) = -7*d - 7*d - d. Calculate u(r(g)).\nAnswer: 15*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10000011000100001 (base 2) to base 7\nAnswer: 366433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -333*l**2 + 371*l**2 + 4 - 1 - 3 + 2. Calculate f(1).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 6 = 2*w. Let y(l) = 5*l**2 - 2*l - 2. Let v(j) be the second derivative of j**4\/12 - j**3\/6 - j**2\/2 + 11*j. Give w*v(r) - y(r).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 34*u - 673 + 1013, 10 = -u - b for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-1\/15)*q*q\/(q*q**(6\/13)\/q)*q**(-2\/5)*q\/q**(4\/7) assuming q is positive.\nAnswer: q**(3413\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-273) + 24\/1071\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iibuiuissu. Give prob of picking 1 b, 1 i, and 2 s.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 136415 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 7)*(52 - 50 - 376*x - 2).\nAnswer: -3384*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5494 + -4?\nAnswer: -5498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/9 + (16 + 2)\/(-6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x - 8. Let g be t(-4). Let a = -3 + 4. Let o be g\/(-1) - (0 - a). Solve -c = 2*c - z - 18, o*c = 2*z + 31 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3384657, -13538630, -30461919, -54154524, -84616445, -121847682?\n\"Answer: -3384658*z**2 + z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1259832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -447\/5 - -90. Let l = 5 + -10. What is the biggest value in q, 0, l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -6*o - 3. Let u(j) = 7*j**2 - 1851. Calculate u(b(y)).\nAnswer: 252*y**2 + 252*y - 1788","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**3 - 13*w**2 - 9*w - 13. Let c be i(-6). Solve 0 = c*m + 86 - 61 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1054*r**2 - 563*r**2 - 210*r**2 - 2 + r + (-r - r + r)*(0*r + 2*r - r) + 2 + r**2 - 2.\nAnswer: -1827*r**2 + r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 270585 divided by -3?\nAnswer: -90195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 9:58 AM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-66)\/6)\/(-11))\/(((-10)\/22)\/5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95152.\nAnswer: 2, 19, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -35*s - 1. What is the tens digit of h(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a9769 (base 13) in base 6?\nAnswer: -34253331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.28021 and -500.\nAnswer: -499.71979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.03 (b) -3 (c) 433 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11949*p**3 + 10867 wrt p?\nAnswer: -35847*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5603.515km in centimeters?\nAnswer: 560351500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18 + 69a?\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c, 6*c - 2*c = 2*l - 4. Suppose -2*x - 5 = 2*g - g, 2*g + x = l. Is 2*-4*(-3)\/g a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4*p - 7. Let l = -164 - -162. Let v(m) = -9*m + 14. Determine l*v(a) - 5*b(a).\nAnswer: -2*a + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 6*s + 2. Let w be y(-6). Let l = w - -1. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g + 37. Let k be s(-38). Let u = -0.59 + 0.39. Which is the closest to k? (a) 0.1 (b) 1\/2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 7:53 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, -2\/19, -1\/8, 11 in decreasing order.\nAnswer: 11, 1\/7, -2\/19, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*5 - 60\/(-6). Suppose -3 = -2*h - 3*j + 12, 5*h - a*j = -25. Solve 0 = -0*v + v + 5*n - 18, h = 4*n - 16 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -2*i**3\/3 + 7*i**2 + 6*i - 1. Let g be f(-7). Calculate the greatest common divisor of 21 and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2837*k - 1256*k + 564834 for k.\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -31*b**3\/6 - 10*b. Let g(r) = 2*r**2 + r**2 + 39 - 39. Calculate g(o(h)).\nAnswer: 2883*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1745 equal to 1740?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36*((-36203)\/1722 + 21).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4354357 (base 11) to base 12.\nAnswer: 268a167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**3\/2 + 884226*u**2 = 0.\nAnswer: -1768452, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 248 divided by 210?\nAnswer: 124\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 67862978 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-85) - (1 + (-4860)\/3740).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.01787 (b) 8872\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*i + 3*i - 16 + 17*i - 5*i - 45.\nAnswer: 6*i - 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23958\/179 + 8779793\/66230. Let a = 14\/37 + w. Find the common denominator of -38\/7 and a.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1525778 and 21685270?\nAnswer: 12014","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4670.205 + -192.\nAnswer: 4478.205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - 52\/16*(6 - 2). Calculate the remainder when 68 is divided by ((-12)\/o)\/((-4)\/(-70)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3\/16 (b) -2\/41 (c) -0.588\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 - (-12 + (-44 - -112))\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 4*a**4 + a**4 - 2*a**3 - 4 + a**2 - 3*a**2 to the form w*a**4 + r*a**2 + b*a**3 + l*a + j and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than 468694?\nAnswer: 468693.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 12. Which is greater: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (168\/182*13)\/(60\/(-90))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -226499\/65970 + 1\/32985. Find the common denominator of -42\/5 and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i**2 + 0*i**2 - 3*i**2)*(-6 + 0 + 1) + i**2 - 3*i + 3*i + 1 + 4*i - 2*i**2 - 4*i as c*i**2 + y + p*i and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 44, 70, 92, 110?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.29679011 rounded to 2 dps?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 3944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10.4416 - 0.0484. Let r = 84574087.4899261 + -84574077. Let w = r + a. Round w to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2318859289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -9418 (base 16) in base 7?\nAnswer: -215350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -2*u - m + 6*m, -25 = -5*m. Suppose 8 = 2*d - c, 3*c = u*d - 4 - 4. Solve -d*l = l - 25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624367 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -35. Does 13 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42 - (2 - 5 - -9)) + (-3 - (-1 + 4)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -228 + 232. Solve h = o - 7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 + 64.\nAnswer: -4*(l - 4)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(7) + ((sqrt(700) - sqrt(28))\/sqrt(4) - sqrt(7)) - 4*sqrt(700)))*-3.\nAnswer: -15 + 108*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -4*w - 2 + 26, 0 = j. Let k(s) = s**2 - 7*s - 2. Let v be k(w). Let z(l) = -l**3 - 9*l**2 - 7*l + 10. List the prime factors of z(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 4122.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*b + 3*s - 249 = 0, 5*s - 255 = 5*b. Let d = b - -45. What is the units digit of 21\/1 + 6 + d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 1:07 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3356\/13 - 258. Let o be (-35)\/(-84)*2\/5. Which is the closest to j? (a) 1 (b) o (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (53*a - 4*a**2 - 2*a + 2*a**2)*(6*a + a - 3*a) + 3*a**3 + a**3 - 2*a**3 in the form r*a + t + d*a**3 + s*a**2 and give s.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 + (-42 - -43) + 26?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-3 + -1*sqrt(17)) + 3)*2.\nAnswer: -12*sqrt(17) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/9 - 2\/9. Sort 2.8, 2, g, 1 in decreasing order.\nAnswer: 2.8, 2, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 3:14 AM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*x - 5, 5*x = -s + 14. Let z = -82 + 125. Suppose s*g + z = 19. Is -2 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*c**4 - 108*c**3 + 141*c**2 + 216*c - 48.\nAnswer: 3*(c - 4)**2*(c + 1)*(5*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-392)\/(-136) + 6\/(-2).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*((-4)\/2)\/4. Suppose -3*s = -u*k - 2*k - 629, -2*k + 846 = 4*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 1:54 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m + 5*m**2 + 3*m - 707 + 709 in the form s*m + y + h*m**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2748.\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 1284 (c) -282.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 d, and 1 v when three letters picked without replacement from {v: 1, w: 2, s: 9, d: 6}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + x**2 - 2*x)*(-4*x - 12 + 7*x**3 + 2*x - 6*x**3).\nAnswer: x**5 - 2*x**3 - 12*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (6 + 0)) + 3 + -7?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h + 11*h - 19*h to the form x*h + p and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -71 - -110. Suppose d - 84 = z. Let m = d - 48. What is m rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (1 - 8) - (2 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*c - c = 47, -4*h - 5*c = 89. Suppose 5*q = -u + 194, u - 77 = q - 3*q. Let t be q\/26*4\/(-6). Put -2, h, t in decreasing order.\nAnswer: t, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -0.4. Let j = 0.2 - 0.125. Which is the second biggest value? (a) j (b) f (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -37588 + 121*h**2 + 167*h**2 - 1200*h + 38838 = 0. What is h?\nAnswer: 25\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2*v + 10 = 0, 3*v = v. Let n(q) = 39*q**2 - 2*q + 2. Let a be n(1). Let d be 3 + (-15)\/4 - a\/12. Put 0, o, d in descending order.\nAnswer: 0, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3+-0.0528\nAnswer: 2.9472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 9:02 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -228960000 to the nearest 1000000.\nAnswer: -229000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*w**2 + 36*w**3 - 27*w**2.\nAnswer: 36*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101011 - -11110000100100100110?\nAnswer: 11110000100000111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 906 a factor of 19322109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 8, m: 5, s: 2, j: 2, c: 3}. Give prob of picking 1 t and 1 j.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 6 = -3*s - 17, -2*g = -4*s - 14. Let b(m) = 13*m**3 + m**2. Let t be b(g). Let v be 2\/(-6) + t\/18. Is v at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.25 + 0.05. Let q = -25 + 25. Let x be 19\/(-7) + (12 - 9). What is the nearest to -2\/3 in q, s, x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129935 = 11*q - 172334. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fj when two letters picked without replacement from {j: 1, f: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 13 - 12 = -3*g, -2*o + 14 = 2*g. Solve -5*k + 2*d - d - g = 0, 0 = -2*k - 2*d - 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18 and -169739?\nAnswer: -3055302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + sqrt(432) + -1 + 1)**2.\nAnswer: -2180 - 240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 624 = 15*a - 31*a. Is a equal to -34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {n: 2, m: 2, y: 2, p: 3}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10441 - -10441. Which is smaller: 41\/85 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 9*w**2 - 3*w - 2. Let h be c(-3). Suppose 2*t - 20 = 20. Suppose 18*u = t*u - h. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(364\/39))\/((-6)\/(-16))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -10*w**5 - 55*w**4 + 18515*w**3 - 45945*w**2 + 27495*w = 0.\nAnswer: -47, 0, 1, 3\/2, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + sqrt(34)\/sqrt(2) + 3)*3)**2 + -1*(sqrt(153)*-1)\/sqrt(9).\nAnswer: 109*sqrt(17) + 693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 9?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 452342?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*y**5 - y**4 - 84*y**3 + 6*y**2 - 3*y + 4?\nAnswer: 420*y**2 - 24*y - 504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15.31 + -15.41. Which is the nearest to z? (a) 3 (b) 10 (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (6 - (10 + -12)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - d - 1. Let t(v) = -482*v + 160 - 164 - 3*v**2 + 478*v. Let s = -2 - -3. Give s*t(z) - 4*x(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -101, -150, -199, -248, -297?\nAnswer: -346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2 + 30 = 2*f, 0 = 5*j - f - 46. Let i = 15 - j. Solve 2*c = i*w + 10 - 0, 4*w = 2*c - 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*c - 2*c. Let q be 3\/(-12) - 105\/(-4). What is the highest common factor of q and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 6:46 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -9. Let n(i) = i**l - 2 + 6 - 2*i**2 - 3*i - 2. Let k(r) = r. What is 5*k(u) + n(u)?\nAnswer: -u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1760874 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 divided by -2?\nAnswer: -719\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1782 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -6*h**3 - h**2 + 100427*h + 100427. Determine d(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11208227\/1295 - 8655. Let x = u + 1287\/5180. Sort -4\/11, -5, x in increasing order.\nAnswer: -5, -4\/11, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w*(w\/(w*w\/(w\/(w**5*w))*w))\/w*w*w*w**(-8) assuming w is positive.\nAnswer: w**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -13.9. Let x = j + -3.10000065. What is x rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 3*q - 2. Let f(x) be the third derivative of x**5\/60 - x**4\/6 + x**3\/3 - 25*x**2. Give -5*f(a) - 6*u(a).\nAnswer: a**2 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oelotttetlmoot. Give prob of picking 1 l, 1 o, and 2 t.\nAnswer: 80\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*f**2 + 49*f**2 + 7*f**2 - 3*f**2 - 18*f**3 to a*f**2 + d*f + m*f**3 + s and give m.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 35*h**3 + 3*h**2 - 11*h + 173. Is x(20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214721?\nAnswer: 13, 83, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42 + 36. Differentiate 3*u + 2*u**3 - 20 + a - u wrt u.\nAnswer: 6*u**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 24 + 90 = 0. Let b be 1\/y*2 - (-264)\/121. Let l(r) = r**3 + r**2 + r + 1. Let v(t) = t**3 + 3*t**2 + 3*t + 3. What is b*v(i) - 6*l(i)?\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 <= 159\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 6 = 4. Suppose -5*z + o = -4*z. Suppose z*u - 165 = 4*p, 5*u = -p + 101 + 39. List the prime factors of u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*k**4 + 4*k**4 - 7*k**4 - 2*k**4 + 4*k**4 - k**4 + 4*k**4 + k**4 - 3*k**4 + (2*k**2 - 2*k + 2*k)*(-k**2 + k**2 + k**2) - 78*k**4 - 88*k**4 + 187*k**4.\nAnswer: 30*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -6*n. Let q(x) = -x. Let l(a) = a**3 + 38*a**2 - 124*a - 61. Let o be l(-41). Give o*q(b) + 4*v(b).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 47, 100, 185, 314, 499?\nAnswer: 752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 10*z - 10. Let w be a(5). Suppose 0 = -5*b + 3*o + w, -b + 2*o + 8 = -o. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -174, -487, -946, -1545, -2278, -3139, -4122?\nAnswer: -5221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in -38, 4, 0.1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 340547387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 - 2*v**2 + 2*v**2)*(-4279*v**2 + 13900*v - 13900*v)*(4 + 0 - 3).\nAnswer: -8558*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -146.154?\nAnswer: -146.154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)\/sqrt(7)*3 + sqrt(1539) + 0 + sqrt(1539) + sqrt(1539))**2 - (-3*sqrt(19) + 5 - ((sqrt(76)\/sqrt(4) - sqrt(19)) + -3)).\nAnswer: 3*sqrt(19) + 17092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-54)\/(-4))\/(1\/2). Suppose -22 + 4 = -2*m. Calculate the greatest common divisor of l and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 8 - (-198 - -196).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 515480345 to the nearest integer?\nAnswer: 22704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26 and 16?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 times -0.1?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -127 + -1604 + 1665?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -302.7 times -17780?\nAnswer: 5382006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 11284 - 1882. Let h(n) = o - 4*n - 3134 + 3*n. Let k(z) = 18*z**2. Determine h(k(x)).\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*-3*-3 - sqrt(77)*-1*2)\/(3*(-4*sqrt(343)*2 + sqrt(343)))*2.\nAnswer: -22*sqrt(11)\/147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) 9 (c) -1 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 703136 a multiple of 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -155, -231, -307, -383?\nAnswer: -459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 215\/43 + (-8)\/90*41 and 9\/7.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cuppuoppfc. What is prob of picking 1 c, 1 u, and 1 p?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -289.1 to the nearest 10.\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 69095330 rounded to the nearest 100000?\nAnswer: 69100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1729 = 15*p + 4*p. What are the prime factors of p?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4085 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11 (b) 5 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**2. Let z(k) = k**2 - 48*k. Determine z(p(a)).\nAnswer: 4*a**4 - 96*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 1 + 11 = 2*r, 5*r + 4*y = 25. Suppose 15 = 4*i + r*u, u + 2 = -u. What is the second derivative of 25*d - 5387*d**2 - 28*d**i + 5387*d**2 wrt d?\nAnswer: -560*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 d when two letters picked without replacement from {d: 2, x: 3, n: 9, r: 1, c: 4}.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4119290 and 17845?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 157123 - -160980. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 77, 289, 635, 1109, 1705?\n\"Answer: -t**3 + 73*t**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 22 * -0.39\nAnswer: -8.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19060 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: Let p(l) = l**2 - 31*l + 30. Let o be p(20). Find the common denominator of -3*((-2596)\/72)\/11 and 640\/o - (1 + -5).\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -698767 divided by 2999?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 227616, 227623, 227630, 227637?\n\"Answer: 7*u + 227609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**5\/7 + 12*m**4\/7 + 6*m**3\/7 - 24*m**2\/7 - 3*m\/7 + 12\/7 = 0. Calculate m.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-2))\/(2\/4). Suppose p*y = y + 24. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 54231341 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -189, -386, -585, -786, -989, -1194?\n\"Answer: -y**2 - 194*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4 - 11120*k**3 - 28430350*k**2 + 13806870000*k - 1541632640625.\nAnswer: -(k - 215)**2*(k + 5775)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -11010111000110 (base 2) in base 10?\nAnswer: -13766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12138 = 10765*r - 553903 + 70851 for r.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50 - -49.55. What is p rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -15700 - 130*k + 15700. Let a(b) = b. What is t(a(v))?\nAnswer: -130*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n**2 - 58173*n + 196425 = 0. What is n?\nAnswer: -7275, 27\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -8*x**6\/3 - 596*x**5\/5 - 170*x**4 + 1460*x**3\/3 + 348*x**2 - 864*x + 4835. Let t(v) = 0. What is v?\nAnswer: -36, -2, -1, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42429*u**2 + 21597*u**2 + 20837*u**2.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*c - 14 + 14 + 66*c + 62*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 225 divide 2676830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0005799 + 0.0007. Round z to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**4\/((n**1\/n)\/n)*(n**(2\/5)*n)**(2\/33))\/(n**4\/((n*n**(-3\/4))\/n)*n\/(n*n**(1\/11))*n\/n**(1\/3)) assuming n is positive.\nAnswer: n**(-53\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 806291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + (-26 - (-77 - -25)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240) + sqrt(240)*2 - sqrt(240))\/(sqrt(768) - sqrt(768)*-2).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9913124833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160 - 180 - (-5 + (2 - 2)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 > 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -4*w - 35. Let l be 7\/(14\/(-8)) - w. Solve 3*g - 9 = -4*r + 2*r, -l*g + 4*r - 9 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + 0 + 0 + -1. Differentiate -2 - n - 2 + 4 - f**2 with respect to f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) 3 (c) 0.47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {q: 3, o: 7}?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 187, 410, 703, 1102, 1643, 2362, 3295, 4478?\n\"Answer: 6*d**3 - d**2 + 184*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1)\/u)\/u**1)\/(u**1\/(u\/u**(2\/3))) assuming u is positive.\nAnswer: u**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 15*p**2 + 9*p - 17. Let o(m) = -7*m**2 - 4*m + 8. Let f(a) = 9*o(a) + 4*x(a). Let s(t) be the first derivative of f(t). Let l = 2 + -3. Give s(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, v: 6, l: 1, t: 7}. What is prob of picking 2 f and 1 v?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 105259 - 16056. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 5*x**2 - 138*x + 1507. Give q(27).\nAnswer: 1426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/sqrt(45) - sqrt(42)*-1*-5)\/(-1*-3*sqrt(36)\/sqrt(6)).\nAnswer: -14*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 53*(9\/(-117) - ((-92)\/13 - -5)). Solve -88 = -18*h - x for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 6:17 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -150 + -35.4.\nAnswer: -185.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - s**2 - 2*s + 8. Calculate the smallest common multiple of l(3) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.12 + 6.57. Let j = o + -0.45. Let u = -194\/315 - -6\/35. What is the second biggest value in u, 4\/9, j?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 155352918 to the nearest integer?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 8:03 AM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - (3 - -36))*-4. Suppose 4*t + 184 = -0*t - v, 0 = -4*t + 5*v - q. Is -45 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 146337494 + 11.079.\nAnswer: 146337505.079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 899999*d - 9. Let l(o) = -4*o**2 + 2*o**2 - 6*o + 3*o. Let w be l(-3). Let g be m(w). What is g rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3683, -3852, -4033, -4226, -4431, -4648, -4877?\n\"Answer: -6*g**2 - 151*g - 3526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 127 (b) 5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 5*x**2 + 16*x + 6. Calculate u(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 21 = 3*k, -232*w = -k - 234*w + 14 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3050 is divided by 3023?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31155.\nAnswer: 3, 5, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -397.92031 - -63.94644. Let n = -334 - i. What is n rounded to 3 decimal places?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 8 + 1 - (3 + -7).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -1366*v**2\/5 - 28654*v\/5 + 672\/5 = 0. Calculate v.\nAnswer: -21, 16\/683","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-2)*(-11)\/(220\/(-48)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d**2 + 7720451*d + 0*d**2 + d**2 - 7720450*d + 880*d**3 in the form s + k*d + u*d**3 + w*d**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*z**2 - 25*z**2 - 8*z + 8*z.\nAnswer: -37*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42535\/4 - 10634. Which is the nearest to -0.2? (a) n (b) 2\/11 (c) -4\/7 (d) 39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*g - 6*o - 4, 4*o - 7 = -5*g. Suppose 0 = -3*c + 3, -6*c = g*u - c - 8. Let q be u\/(-4 + 68\/16). Solve -3*s = 0, q*n - 5*s + 10 = -6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -5*k**7\/7 + 2*k**3 + 7. What is the third derivative of v(b) wrt b?\nAnswer: -600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50473\/6 + 8434. Calculate the common denominator of v and 73\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2660328030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5*w + w - 7 - 4*w - w. What is v(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by -5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -z**4\/12 - 2*z**3\/3 - 70*z - 85. Let c(m) be the first derivative of r(m). Suppose c(b) = 0. What is b?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 4*t**2 + t + 8. Let m be b(-4). Suppose m*d = -5*s + 2143, d - 6*d + 437 = s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v - 16. Determine o(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 10:54 PM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 119252027?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000012759593 to six decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/11 (b) -14 (c) -19 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 6:07 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -77*w + 84*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 6*v - 4. Suppose -21 = -4*w + 19. Let k be (1 - 9)\/(8 - w). What is r(k)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 80320000 to the nearest one million.\nAnswer: 80000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48\/(-192) - (-17415)\/12 is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (6 + (-4 - 2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*h + 44. What is the remainder when 66 is divided by h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4746, -9514, -14280, -19044, -23806, -28566?\nAnswer: -33324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -418 and 1.01.\nAnswer: -422.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - q + 2. Let y be f(2). Find the second derivative of d + 2*d - 6*d + 4*d - 2*d**y wrt d.\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15998\/(-2105))\/((-3)\/30).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*o + 37*o - 3387538 - 11862 = 0. What are the prime factors of o?\nAnswer: 2, 23, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -69 - 28?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 6*x**3 - 6*x - 4. Let i(r) be the first derivative of -7*r**4\/4 + r**3\/3 + 7*r**2\/2 + 5*r - 2126. Determine 4*i(g) + 5*o(g).\nAnswer: 2*g**3 + 4*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -62\/7759 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 4*z - 77, -154 = -2*r - 2*z - 0*z. Let u = r - 73. Suppose -h - 2*p + 567 + 188 = 0, -4*p = u*h - 3012. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3048 - -3283. What is the highest common factor of t and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0, 5, -2\/5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 17 + (-4 - 2 - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f*f**(2\/63))\/f)\/f*f\/(f**(1\/9)*f*f))**(-42) assuming f is positive.\nAnswer: f**(136\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 89 = -5*g, 0 = 3*t - 2 + 5. Let i = 10 - g. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -m - 25. Suppose 0*t = 2*t + m*p - 33, -3*p + 15 = 0. What is d in -2\/7*d**t + 0*d**2 + 2\/7*d**3 + 0*d + 0 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 81*c - 37. Suppose -13*a + 18*a = 10. Calculate the remainder when m(a) is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-4)\/(3\/6*22)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 294 and 980?\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*k - 36 = -37*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v*v**(4\/17)*v))\/v**(-2\/35))**(1\/18) assuming v is positive.\nAnswer: v**(-53\/5355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*a**2 - 5*a**4 - 5*a**2)*(-1 + 4 + 3) to the form b*a**2 + s*a**4 + k + c*a**3 + p*a and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 624643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 - 22*i - 702. Calculate the remainder when 499 is divided by l(-17).\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -11*q**2. Let i(o) = 2*o. Determine a(i(g)).\nAnswer: -44*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(1\/13))\/u)**(-4)*(u**(-3\/13))**(2\/67))**(-25) assuming u is positive.\nAnswer: u**(6850\/871)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 9\/58, -20, 5, 9, 1\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -5, -8, -1\/22, 0.85?\nAnswer: 0.85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 11:40 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 160 = 281. Suppose 2*t + 59 = 253. Calculate the remainder when t is divided by m\/2 - 1\/4*-2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from tttttstttssttstttstt?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (42\/84)\/((-2)\/36*-3). Which is the closest to -1? (a) 0 (b) 4 (c) -18 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18*8\/14*-3*(-217)\/(-279)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 55565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24231041 (base 5) in base 11?\nAnswer: 145623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1573) + -2)**2.\nAnswer: -44*sqrt(13) + 1577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 12*s + 70 + 230 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06677 rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 12 = 4*j, 2*j + 5 = 5*b + 8. Let y(x) = -x + 5. Let m be y(j). Put m, 1\/5, 2\/3 in increasing order.\nAnswer: 1\/5, 2\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -563 = -11*w - 9*g - 8*g + 14*g, 2*w = -3*g + 95 for w.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, 4, 50, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 7*p**2 + p + 9. Let c be r(-7). Suppose 2*n - 288 = -0*n - c*t, -t = 1. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2000022110 - 11?\nAnswer: -2000022121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 0 + (sqrt(147) - (sqrt(147) - (sqrt(147) - (1*sqrt(147) - sqrt(147))))**2)*1 + -2.\nAnswer: -1 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 7:10 AM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50498*o + 2440 = 50508*o. What is the greatest common factor of o and 13664?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-2)*(-100 + 94). Put -5, -11, v in descending order.\nAnswer: v, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*a + 12*a - 1 - 5*a + 3 + a**2 + 6*a + 63*a**4 to the form f + i*a**4 + b*a + o*a**3 + w*a**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 5*j - 3 = -20, 3*j - 5 = -4*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 1)*(432*q - 321*q - 460*q).\nAnswer: -698*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 256939.29 seconds in days?\nAnswer: 2.973834375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.559 - 555.605?\nAnswer: -558.164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -197, -203, -209, -215?\n\"Answer: -6*b - 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/160*18)\/(((-18)\/20)\/(-3))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 1. Let o(n) = -n**3 + 14 - 5 - 3 - n**2 - 5. Let j(y) = -12*y**3 - 18*y**2 + 18. Let b(f) = -j(f) + 9*o(f). Give -2*b(q) - 18*r(q).\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -4 (c) 9.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0)**(-10\/9)\/(z**(-5\/2)*z**(2\/15)\/z) assuming z is positive.\nAnswer: z**(101\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 5*r**2. Let t be (5\/15)\/(1\/9). Let m(x) = -x**2 + 1401 - 1401 + t*x**2 - x**2. Calculate -5*m(j) - w(j).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2 + 15*a + 4. Let n(f) = f**2 + 15*f + 14. Let l be n(-12). Let g be l\/4 + 1\/(-2). Let q(s) = s**2 + 7*s + 2. Determine g*y(w) + 13*q(w).\nAnswer: w**2 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1879.\nAnswer: 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*(-12)\/15*(107 + 21462\/(-196)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 85 + 5110*l + 590 - 240 + 406 wrt l.\nAnswer: 5110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z\/(z\/z**(-2\/15))*z*z*(z\/((z**(4\/9)\/z)\/z)*z*z*z)\/z*((z**(-1\/9)\/z)\/z)\/(z*z\/z**(2\/37)))**(4\/37) assuming z is positive.\nAnswer: z**(29072\/61605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h - 26. What is the remainder when k(16) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 142\/9, 2\/41, -4\/3, 7.6?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*b**3 + b**3 + 216*b**2 - 216*b**2 to the form x*b + n*b**2 + c*b**3 + s and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (61\/(-3))\/(5*(-1)\/(-30)). Let t = -67 - h. List the prime factors of t.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -2*m - 2, v = -7 + 9 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240*l + 20443 = 3*l + 5134 for l.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/(-2 - 1))\/1 + 2. Let s(u) be the second derivative of 1\/6*u**4 - 1\/3*u**3 + 0 + 0*u**m - u. Factor s(v).\nAnswer: 2*v*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of k**4\/12 - 25*k**2. Let j(h) be the second derivative of -h**3\/6 - h. Determine l(j(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 4*b - 13. Let z be (-20)\/(-21) + (18\/21)\/b. Determine v so that 1\/2*v**2 - 1\/6*v - z*v**5 + 0 - 1\/2*v**4 + 5\/6*v**3 = 0.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 394451.1 grams to nanograms.\nAnswer: 394451100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -306 - 4096.7.\nAnswer: -4402.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 275*h - 1794*h - 348*h.\nAnswer: -1867*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12048 divided by 6.\nAnswer: 2008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178*w - 679*w - 79*w.\nAnswer: -580*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d + 1. Suppose 0 = -y - 2*m + 9, -5*y - 2*m = -2*y - 11. Let k(l) = 2*l + 14. Determine y*k(b) - 3*x(b).\nAnswer: -b + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/15 + 146\/(-10). Let h be (25\/l)\/((-10)\/12). Suppose w + 34 = 3*s, -5*s + 2*s + 44 = 4*w. Solve -5*o = m + s, m + o = -h*m + 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27492 divided by 29.\nAnswer: -948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 18 = -y. Let t(z) = z**3 - 5*z**2 - 8*z + 6. Let g be t(y). Let l = -4 - g. What is the lowest common multiple of l and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 238*a**3 + 15*a**2 + 2*a + 9. Let h(d) = 110*d**3 + 7*d**2 + d + 4. Let z(k) = 6*g(k) - 13*h(k). What is z(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 15*q**2 - 5*q - 4. Let v be n(-15). Suppose 4*z + 19 - v = 0. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*sqrt(11) + 4 - sqrt(77)\/sqrt(175))*3*2*-6.\nAnswer: 144*sqrt(11)\/5 + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from oyjqjoeei.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1100 and 400.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1007362*r*t**3 - r + 3*t**3 + 2*t**2 - 4*t - 6540 with respect to r.\nAnswer: 1007362*t**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3.1 (b) -4\/9 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(1\/7)\/u))\/u**(-1\/2)*(u*u*u*(u*u*u**(-2)\/u)\/u)**2)**11 assuming u is positive.\nAnswer: u**(517\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-144)\/(-14) + (-16)\/56 and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 13*m**2 - 3*m - 2. Let q be s(-2). Suppose g - 168 = q. Suppose -7*i + 2*i = 3*a - 252, 0 = -5*i + 4*a + g. Is i a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 0*k + k = -13, -4*u - 5*k = 23 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((2 + sqrt(242))*-4 - sqrt(242) - ((sqrt(242) + 1*sqrt(242))*-1)**2).\nAnswer: -5856 - 330*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qh when two letters picked without replacement from {h: 3, q: 7}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 120 = -24*q, -2*q = 165*k - 164*k + 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3340877849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -42 less than or equal to -2\/217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6\/19 - 31\/38. Which is the third biggest value? (a) 1\/5 (b) -1 (c) 0 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*m + 1163*m = -56*m + 15025 + 47 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xxzcccx.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(-5*sqrt(16)))**2.\nAnswer: 3\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - m = 5*h - 41, -5*m = -4*h. Let v(y) = -y**3 + 6*y**2 - 5*y - 1. What is v(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3113064 is divided by 60?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -522*j - 7313. Determine f(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(3\/19)*i))**0*(i*i\/(i\/(i**(-1\/28)*i)*i*i))**(1\/23) assuming i is positive.\nAnswer: i**(-1\/644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1145 - -1140. Which is the fourth smallest value? (a) 4 (b) 25 (c) x (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19 * -9572593.\nAnswer: -181879267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/((-8)\/(-2)))\/((-3)\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (720\/(-72))\/((-2)\/(-3)*-3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -21942, -22090, -22238?\n\"Answer: -148*w - 21794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -9) + (-10 + 10 + -4 - 14)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -u - 4*d, -d = 3*u - 7*u + 27. Suppose u*p = 4*p + 4. Solve -3 = q + p*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-82)\/10 - 3*(-3)\/45. Sort 1, 0, b.\nAnswer: b, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -106257992*i**2 + 121810720 wrt i?\nAnswer: -212515984*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 280478.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than -0.039558340741?\nAnswer: -5.039558340741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60*d - 60*d + 6*d**2)*(-2 + 12 - 3) + (-1 - 1 + 3)*(-2*d**2 + 2*d**2 - d**2).\nAnswer: 41*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7053520*w**2 - 1 - 1857*w + 7053521*w**2 + 1.\nAnswer: w**2 - 1857*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 13. Suppose 4*j - z*m = 45, j + 2*m - 3 + 8 = 0. Solve j*v = -3 - 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 252 and 539?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(105\/(-35))\/((-3)\/(-1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - z + z)*(-169*z - 74886 + 74886) + (-6 + 6 + 9*z)*(z**2 + 2 - 2).\nAnswer: -160*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, -4, -6, 0.4, 1, -495?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1132 (base 5) to base 10\nAnswer: -167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2649262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 7:53 AM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0010619 rounded to 5 dps?\nAnswer: -0.00106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 7:18 PM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 327, 543, 831, 1203, 1671?\n\"Answer: 2*f**3 + 24*f**2 + 130*f + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -16. Let d = 12 + g. Suppose 0 = -2*s + 4*s + 4. Which is greater: d or s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(3\/10)\/y)\/(y\/(y*y\/(y*y*y**(-7))))*(y**(-1)*y)**(-43))**(-7\/4) assuming y is positive.\nAnswer: y**(-371\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 786 and 1048?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -4*f + 3. Let q be (-12)\/(3\/(-2)*-1). Let c be t(q). Suppose 0 = -3*l + p + 31, 3*l - 2*p - 3*p - c = 0. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 218)*(102\/(-12) - -9). What is the highest common divisor of 27 and f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-16)*(-82)\/(-1025)*100.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) -0.4 (c) -3 (d) -0.11 (e) 3\/2 (f) 2\/53 (g) 23\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -0.098?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -10*s**2. Let k(x) = 13*x**2 + 3. Let l(r) be the second derivative of 25*r**4\/12 + 5*r**2\/2 - r + 2. Let c(f) = 5*k(f) - 3*l(f). Calculate c(p(z)).\nAnswer: -1000*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 522 (b) -1\/6 (c) 1 (d) 4 (e) 0 (f) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 1030*h + 16484. What is v(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*g - 2226*g - 273*g.\nAnswer: -2388*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*k**2 - 223*k**2 - 155*k**2.\nAnswer: -536*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -8*x**2 - 9*x. Let n(a) be the second derivative of -a**4\/12 - a**3\/6 + 6*a - 7. Give 6*d(i) - 51*n(i).\nAnswer: 3*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from avavhvqhaqvaavqvv. What is prob of sequence qhh?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -449 - 425 - 170*g - 4*g**2 + 869.\nAnswer: -4*g**2 - 170*g - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sq when two letters picked without replacement from {q: 2, u: 2, n: 4, s: 7, x: 2}.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 3:07 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 99, 126, 145, 144?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -776*n + 2439. Does 21 divide q(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -288 or -311?\nAnswer: -311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20753 or 228292\/11?\nAnswer: 228292\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -138*u + 1929. Let z be a(14). Let b(t) = 3*t**2 - 3*t - 7. Let f(d) = -2*d**2 + 2*d + 4. Determine z*b(y) - 5*f(y).\nAnswer: y**2 - y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**3\/3 - 27356*a**2\/3 - 54706*a\/3 - 27352\/3 = 0 for a.\nAnswer: -13676, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -2997323\nAnswer: 1\/2997323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/5)\/((-184)\/117300*-75)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29484871, 29484842, 29484813?\nAnswer: 29484784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19367 - 39210 + 4*q**2 + 19843 - 14*q**2.\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 219 and 1787770.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h. Suppose -5*d - 70 = -10*d. Let c(n) = d*n - 35*n + 5*n. Determine s(c(z)).\nAnswer: -32*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11799834 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 416696293.\nAnswer: 13, 32053561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*l - 10*l + 28*l)*(6 - 1 - 1).\nAnswer: 44*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 14) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3762, -9366, -16808, -26088, -37206, -50162, -64956?\n\"Answer: -919*z**2 - 2847*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x**5 - 12150*x**4 + 12160*x**3 + 12150*x**2 - 12155*x = 0. What is x?\nAnswer: -2431, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64 - -69. Suppose -24 = -7*h + y*h. Suppose 0 = -14*a + 20*a + h. Let u(k) = 4*k**2 + k + 2. What is u(a)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/128874 and 68\/2312877.\nAnswer: 217410438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3\/7 - 13539*g**2\/7 - 54240*g\/7 + 162612\/7.\nAnswer: 3*(g - 4517)*(g - 2)*(g + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 != -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/635 and 68\/1143?\nAnswer: 5715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4c1 - 4?\nAnswer: -4c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -h - 2*n, 4*n - 4 = 4*h - 0*n. Let x be (-1)\/((-4)\/(16\/h)). Let z be (-48)\/(-1716) + 2\/(-11). Is z > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - -3)*(3\/12 + 1). Suppose 0 = -w*h - 189 + 839. Calculate the remainder when h is divided by 34.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.01427040966 + -0.01427. What is b rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1045753\/6 - 31480739\/180. Let b = 5452\/9 + c. What is the common denominator of 265\/(-42) - 3\/9 and b?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from unnmumnuuuunn. Give prob of picking 2 n.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 0, -q + 6 = 2*q - 2*m. Solve -h + q - 3 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 4.2. Let c = a - 0.4. Let i = 11\/4 - 3. Sort c, i, 0.4 in decreasing order.\nAnswer: 0.4, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4*r = -3*p + 7, 3*r + 2*p = 35. Suppose -r*l + 16 + 569 = 0. Is 46 at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**4\/8 - 17773*l**3\/8 + 17777*l**2\/4 + 17773*l\/2 - 17775 = 0. Calculate l.\nAnswer: -17775, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7043705*k**3 + 2*k**2 - 6*k - 274059.\nAnswer: -42262230*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/45)\/((i\/i**(-12))\/i)*(i**(-30)*i)\/i**(-4))**(-19) assuming i is positive.\nAnswer: i**(31597\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4655 is divided by 2289.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-2*sqrt(91) - sqrt(91))*2 - -4*1*sqrt(91))\/((sqrt(112)\/sqrt(4)*-6)\/sqrt(4)).\nAnswer: 1 + sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2916773327 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 6 = -46*a + 48*a, -4*o = 4*a - 28 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 + 2*y**2 - 110*y + 14*y**2 + 110*y.\nAnswer: 17*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v + v - v + (0*v + 2*v - v + (0 - 2*v + 0)*(-3 - 1 + 3))*(2 - 5 + 4).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, j: 1, x: 1, r: 1, z: 1}. What is prob of sequence xq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 65*p + 7. Let b be a(7). Suppose -d = 2*d - b. Suppose -4*i = -2*i - d. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 32*y**2. Let j(a) = -37963 + 18973 + 18974 + a**2. Give i(j(v)).\nAnswer: 32*v**4 - 1024*v**2 + 8192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -53*w. Let k(f) = 576*f**2 + 2. Give m(k(i)).\nAnswer: -30528*i**2 - 106","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*g**3 + 5*g**3 + 9*g**3 + 10*g**3.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51535725 and 5055.\nAnswer: 51535725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -6636910.55 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -0.4, -0.3, 1932, -1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 199174.11 milliseconds?\nAnswer: 3.3195685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t - 4. Let g be z(7). Let k(h) = 0*h**2 - h**2 + 3*h + h. Let q be k(g). Which is smaller: q or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 26\/65 + 34\/(-10). Let j be -2 - ((-28)\/6 - v). Let z be 1 - (1 - (2 - 1)). Which is the second smallest value? (a) -0.1 (b) j (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.01 - -2.01. Let b be (0 - 5\/2) + 3. Is v bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 12*p - 23. Calculate the smallest common multiple of (10\/(-6) - -1)*-21 and d(15).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 312422873?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 6*p + u + 4 + 0 = 0, 0 = -3*p - 67*u + 70*u - 12 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -7 + 6 + 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24398853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3965 and -0.2?\nAnswer: 0.0793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4266 divided by 8275.\nAnswer: -4266\/8275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*t = 3*z + 2895, -3*t - 98 - 102 + 51 = z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of d**5\/10 + 3*d**4\/2 + 26*d**3\/3 + 24*d**2 + 32*d + 73. Factor z(i).\nAnswer: (i + 2)**2*(i + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 5*p = -216. Let h be 117\/6 + 6\/(-4). What is the greatest common divisor of p and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-18)*3*6. Let v(l) = 14 - 3*l**z - 36*l + 35*l + 4*l**3. Determine v(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/5 of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 24 + 3?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is b99998 (base 15) in base 3?\nAnswer: 121122011222022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 100786973*v**4 - 93917750*v wrt v?\nAnswer: 1209443676*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, a: 2, e: 4, c: 2, v: 1}. What is prob of sequence ee?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (74555\/(-78))\/37 - (-22)\/(-132)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (6\/(-18))\/(1\/(-147))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 542 divide 15877890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55 - 44. Let a = j - -18. Calculate the remainder when 79 is divided by a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -490 + 491. Which is the closest to -15? (a) -5 (b) m (c) 4 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 13151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 131 + -126. Suppose 5*r + 2*i - 5 = 0, -2*r + 5*i + 13 = -6*r. What is the units digit of (585\/r)\/q - -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 258505 to the nearest integer?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 4)*(0 + 0 - 4*k).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 27*r + 172. Calculate a(-8).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 527*h*j**2 + 18*h*j - 15*h + 8*j**2 + 650*j - 3 wrt h.\nAnswer: 527*j**2 + 18*j - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -35, -24, 21, 112?\nAnswer: 261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -826*z + 828*z - 4, 4*t + 14 = 2*z for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12377?\nAnswer: 12377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53140 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -20*q**2 - 5012*q - 312512. Let w(m) = 8*m**2 + 2005*m + 125005. Let v(l) = 5*n(l) + 12*w(l). Suppose v(g) = 0. What is g?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159*o**2 + 585 - 585.\nAnswer: -159*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2*o**4 + 8*o**3 + 70*o**2 - 300*o = 0.\nAnswer: -6, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than -1589196418?\nAnswer: -1589196419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 9*i**2 + 7*i - 5. Let z = -14 + 23. Suppose -5*u = -z*u - 40. What is the units digit of n(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 3*j - j - 29, 0 = -j + 2*d + 11. Solve 5*s = 2*v + 31, 5*s = -0*s - 4*v + j for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -71.843091 to 2 decimal places.\nAnswer: -71.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**5\/5 + 504*x**4\/5 - 2596*x**3\/5 - 6696*x**2\/5 - 3598*x\/5 = 0. What is x?\nAnswer: -257, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 310006?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26361 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 12) to base 16\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 68, 109 in descending order.\nAnswer: 109, 68, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (274*y**2 - 4 + 2 - 264*y**2)*(2*y**2 + 4*y - 4*y).\nAnswer: 20*y**4 - 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 4*m**3 - 27*m**2 + 0*m**3 + 30*m**2 to b*m + v*m**3 + p*m**2 + z and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 159, 313, 467, 621, 775?\nAnswer: 929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 8:30 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(30)\/sqrt(2))\/(sqrt(3) - sqrt(36)\/(-2*sqrt(12))).\nAnswer: -8*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3117713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -224*z**3 + 2*z**2 + 4*z - 5. Let n be l(2). Let a = -1251 - n. List the prime factors of a.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l + l - 2*l)*(-2 + l + 2 + (2*l + 2 - 2)*(-1 + 0 + 2) + 0*l + 0*l + 2*l - 7*l + 8 - 8) + 4*l**2 - 2*l**2 + 0*l**2.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fb when two letters picked without replacement from {f: 1, b: 4, i: 1, u: 4}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*l - 257*l + 10548 - 7484 = -22676 for l.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3622668*j**3*w**2*x**2 + 4*j**3*w*x + 5069*j**3*w + 2*j**3 + j*w*x**2 - 6 wrt w.\nAnswer: 7245336*j**3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95368 is divided by 31562?\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -64*l**2. Let s(y) = 15*y - 15692. Determine s(w(d)).\nAnswer: -960*d**2 - 15692","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8*(19 - -6 - 2). Let c = d - -476. What are the prime factors of c?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j + 0*j - j - 4*j. Let h(v) = 6*v**2. Calculate b(h(c)).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-155)\/155)\/((-2)\/(-10)). Let p(n) = -n**3 - 4*n**2 - n - 28. Calculate p(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2 - 19*j - 1. Let p be z(-5). Which is bigger: 566\/13 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.1 + -14.1. Let y = g + 13.4. Let f = -416 - -411. Which is smaller: y or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39.019 - -39. Let l = n + 0.046. Round l to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9912581?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/5, -1\/80, -0.27, 0, 2\/269 in descending order.\nAnswer: 9\/5, 2\/269, 0, -1\/80, -0.27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 5*s + 13 = 0, -75 = -v - 2*s - 81 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*y**4 + 6*y**3 - 24*y**2 - 2*y + 12 = 0. Calculate y.\nAnswer: -2, -3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 945172 (base 10) in base 2?\nAnswer: 11100110110000010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 648 = 4*l - 4*s, s - 2 = -0*s. Suppose 4*j - 5*u = l, u + 0*u = -4. Suppose 0 = -0*g - 2*g + 8. What is the greatest common divisor of j and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x - 14. Let d be f(-19). Let v = d + 9. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**4 + 56*d**3 + 68*d**2 - 120*d.\nAnswer: -4*d*(d - 15)*(d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 600 and 148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13014 by -13014.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 774 and 172.\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/22 + (21 - (-26 + 38215\/825))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5a0c + -5?\nAnswer: -5a11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.301 - 0.099. Which is the closest to -5.1? (a) 3 (b) -2\/7 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 131 - 132. Let i = 5\/52 + 131\/260. Which is the smallest value? (a) i (b) 1\/11 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/173 (b) 2 (c) -3 (d) 0 (e) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 120*i**3*j**3 - 2*i**3*j + 2*i**2 - 408*j**2 wrt j?\nAnswer: 720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 97509, 97512, 97515, 97518, 97521, 97524?\n\"Answer: 3*a + 97506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -5*h + v - 12, 4*v = -16 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -22 + 8. Suppose -5*u = -o + 4. Let a(g) = -5*g**2 - 6*g. Let v(b) = -81*b**2 - 96*b. Let z(h) = u*v(h) - 33*a(h). Suppose z(m) = 0. Calculate m.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -i + 4*n - 14, -2*i = -4*n + 12. Suppose i*s = -s + 15. Solve r = s*q - 22, 3*q = 5*r + 5 + 17 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*p + 6*p. Suppose -46 = -p*z + z. Does 10 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 482220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -390059*a - 179409?\nAnswer: -390059","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -560*(-1)\/5*2. Suppose 0 = -4*f + 2*m - 320, -2*m - 96 - a = 4*f. Is 2\/3 at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76544 and 96476536?\nAnswer: 2392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**3 - 2*v**3 + 2*v**3 - v**3 + v**3 - 2*v**3 + (-2 + 2 - v**2)*(-2*v + v + 2*v) - v**3 + 3*v - 3*v + v**2 - 2*v**3 - v**2 - 4 - 2 - 1 - 2*v**3.\nAnswer: -9*v**3 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 6*a - 1262 = -1442 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*a - 24. Let d = 0 + a. Let r = d + 10. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**3 - 3*c**3 + 0*c**3 + 36*c + 14*c.\nAnswer: -c**3 + 50*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**4*c\/c**(2\/15)*(c*c**(-7))\/(c*c**(1\/2))*(c**(3\/8)*c**(2\/7))\/(c**1\/c)**(-1\/11) assuming c is positive.\nAnswer: c**(-1657\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36 - 38) + 2 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 5*a + 28943, 5*a + 28950 = 4*x + 3*a. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 928*l + 815*l + 1455*l.\nAnswer: 3198*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o + 3*o + 0*o + (-3*o + 4*o - 2*o)*(-3 - 2 + 3))*(-1 - 3 + 2)*(-1 + 1 - 20*o).\nAnswer: -40*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-182)\/12)\/(20\/(-120)). Let l = j - 92. Sort -3, -21, l in increasing order.\nAnswer: -21, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t**3 + 2*t**3 + 6*t**2 + 2*t**3. Let i be s(-6). Let h(l) = -l**2 - l + 6. What are the prime factors of h(i)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1099 = 208*f + 267 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 571 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -19. Suppose -s*q + 66 = 6*q. Calculate the least common multiple of 12 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24360*d**2 - 375 + 12184*d**2 + 12173*d**2 - d**3 + 2*d in the form w*d + y*d**2 + l*d**3 + n and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**2 - 187*q + 12*q**3 + 2*q**2 + 210*q to the form c + j*q**3 + y*q**2 + l*q and give l.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uxxu when four letters picked without replacement from {u: 6, x: 12}.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*c - 39*c = -18 + 70. Sort 30, -3, -33, c in ascending order.\nAnswer: -33, -3, c, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0450265221 + 4.0350687519. Let g = c - 0.780094804. Let z = g - 3.3. What is z rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 times 2\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53 + 54. Let o = 2 + -3. What is the remainder when 2 is divided by 6\/(-6)*a\/o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32\/3 - -12. Let v be ((-74)\/(-18) - (273 - 261)) + (-81)\/(-9). Factor -v*p - u - 2\/9*p**2.\nAnswer: -2*(p + 2)*(p + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5 = 3. Let w(u) = 5*u**3 - 18*u**2 - 6. Let x(c) = -2*c**3 + 6*c**2 + 2. Let k(o) = -3*w(o) - 8*x(o). Let z be k(-6). Is z bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 43.\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -74502 - -61?\nAnswer: -74461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1064 is divided by 380?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 8*a**3 - 9*a**2 + 13. Let l(m) = m**2 - m - 9. Let n be l(0). Let o(f) = -2*f**3 + 2*f**2 - 3. Determine n*o(t) - 2*c(t).\nAnswer: 2*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11129 divided by -10311?\nAnswer: -11129\/10311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 429*g + 1296. Let d be m(-3). Are d and 372\/41 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r - 0*r + 3 + 22, -11*r = -3*f - 9*r - 119 - 110 for f.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 3:51 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3 - 3*v - v**2 - 4 + 21*v - 4. What is the remainder when i(12) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 12 = -8*k. Solve -k*v + 12 = v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 35*a**2 - 68*a + 57. Determine q(33).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2312*v. Let t(n) = 2*n. Determine c(t(g)).\nAnswer: -4624*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 8*x**2 + x + 30. Let r be d(4). Let j = r - -66. Does 3 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11360 and 240.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(((-30)\/(-6))\/(-5)). Solve 247*j = 251*j - 3*l + 1, -g*l = 2*j + 7 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -24*c**3 + 17*c**2 - 17*c - 17. Let w be ((0 - -1) + 252\/(-180))*-15. Let i(s) = -3*s**3 + 2*s**2 - 2*s - 2. What is w*k(f) - 51*i(f)?\nAnswer: 9*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 8104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 4:41 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**2 - 12*d.\nAnswer: -d*(5*d + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 + 8*b**2 - 5*b**2 - 3*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1772d (base 16) to base 9.\nAnswer: 155666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2255265 equal to 2255265?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11349272.\nAnswer: 2, 11, 128969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1571 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6424 - 6385. Solve 322*y = 309*y - l for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/8 (b) 3 (c) -4\/3 (d) 89 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.14 or -3121\/25?\nAnswer: -3121\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7907934, -15815822, -23723710, -31631598, -39539486?\n\"Answer: -7907888*x - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0312254122 and -0.8.\nAnswer: -0.8312254122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 11*g**2 + 11*g - 5. Let m be q(-12). Find the second derivative of -2*z**2 + z + 2*z - m*z + z wrt z.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/((-9)\/(-3)))\/(980\/(-1610)*-46).\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.12, -4, 0.1, -2\/11, 4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 10 = u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1365 + 73?\nAnswer: -1282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (179 - (183 - -20)) + (2 - 44).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sw when two letters picked without replacement from {w: 2, u: 1, s: 4, j: 4}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 103\/(-412)*0\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g + 21, 6*o - 3*o = 4*o + 2*g + 39 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.04, 1429, -44, 0.1, 4, -4, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 0)\/(-17 - 400\/(-24))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (5 - (-224)\/(-12))?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a day in hours?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/33)\/k)\/k**12 assuming k is positive.\nAnswer: k**(-428\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 0*q + 2*q**2)*(830 - 704*q - 830).\nAnswer: -1408*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 4*k - 1531, -4 = -8*k + 10*k. Let i(q) = -255*q - 254*q + t*q. Let a(d) = -13*d. Determine a(i(f)).\nAnswer: -52*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4669*q + 2531*q + 1403*q.\nAnswer: -735*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y - 2. Let v be d(2). Suppose v*q + q = 5. Differentiate -1 + 5*z**2 - q + 1 with respect to z.\nAnswer: 10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + g + 1. Let n(b) = b**3 - 13*b**2 + 6*b - 7. Let r(u) = -3*l(u) + n(u). List the prime factors of r(10).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1450 (base 12) to base 16.\nAnswer: 93c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 10915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.2 (b) -12\/5 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -143\/4 (c) 3\/4 (d) -2\/17 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -1282*f**2 - 10215*f + 259. What is o(-8)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.423739 rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 5*n**2 - 46*n - 238. Let a be u(-5). Let v(d) = -d**3 - 8*d**2 - d - 18. What is v(a)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 257088, 257087, 257086, 257085, 257084, 257083?\nAnswer: 257082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34761.\nAnswer: 3, 11587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {p: 2, t: 5, y: 3}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -167308 + 284364. Let k = j - 117057.07902. Let x = k + 1.08. Round x to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2368\/(-80))\/((-2)\/5) is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -82\/33 and 83\/19092?\nAnswer: 210012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 10*i - 28. Let g be f(6). Let a(d) = d**2 + d - 1. Give a(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2458 + -2451. Let o(c) = c**3 - 7*c**2 - 6*c - 5. Let y(x) = -x**3 + 7*x**2 + 7*x + 6. Let b(j) = 6*o(j) + 5*y(j). What is b(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6581820 and 140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y = -81 - 89 + 56 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 829 + -824. Solve q*h - 20 = 5*u - 10*u, -h = -5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -208 + 324. Let z = 111 - p. Is -5*3602\/z*5\/10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 360, 888, 1750, 3108, 5124, 7960, 11778, 16740?\nAnswer: 23008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 2*sqrt(76) + sqrt(76) - (1*sqrt(76) + 1))*-5)**2 + -4*((1*sqrt(76) + sqrt(76))**2 + 4)*5.\nAnswer: -1000*sqrt(19) + 2065","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -389*h - 329*h + 104*h - 197*h + 53*h - 435*h + 1.\nAnswer: -1193*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21850 by 1.\nAnswer: 21850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1942 divide 94731709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 10*z**2 + 15*z + 10. Let d be p(8). Suppose 3*h - 165 = -3*w, w - 224 = -3*w - d*h. What is the remainder when w is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence it when two letters picked without replacement from iiiritirtirfitiifr?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 793848 and 8536.\nAnswer: 793848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**2 + 3*z**2 - 2*z**2)*(468*z**2 - 32*z - 37*z + 69*z) + (-4*z**3 + 3*z**3 - 3*z**3)*(2*z + 0 + 0).\nAnswer: -944*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 + 58*a**2 - 46*a**2)*(-6 + 4 + 0 + (5 + 3 - 6)*(-1 + 2 + 1) - 4 + 5 + 1).\nAnswer: 44*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 2 - -4 - -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(-5 + 1480\/295). What is the greatest common divisor of j and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -79520, -79515, -79510, -79505, -79500?\n\"Answer: 5*i - 79525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/43 and 27\/34.\nAnswer: 1462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 10 = 6*s. Suppose -4*v + 189 = -p - 182, -2*v + 178 = s*p. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y + 9. Let q be c(-7). Put 0, q, 5 in descending order.\nAnswer: 5, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/71, -7, 1, 0.03 in ascending order.\nAnswer: -7, -2\/71, 0.03, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 0.87 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15350555651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4195, 7, -1 in ascending order.\nAnswer: -5, -1, 7, 4195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ymg. Give prob of picking 1 m and 1 g.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + p - 9. Let c(u) = -u**2 + 2*u - 8. Let h(b) = -5*c(b) + 4*i(b). Let a be h(6). Suppose a*k + 4 = -0. Put k, 0, -4 in increasing order.\nAnswer: -4, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14646 and 8?\nAnswer: 58584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 10002.\nAnswer: -5\/10002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 - -0.2. Let o = 10 + -7. Let x = -13 + 11. Sort b, x, o in decreasing order.\nAnswer: o, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-6))\/(((-37100)\/159)\/70)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*3\/(-6)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1815 a factor of 38430364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1\/44, -1\/3, 29, -30\/17, -0.3, 0?\nAnswer: -30\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -698 - 2007. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5185130 from -14071784.\nAnswer: -19256914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d + 1. Let h(m) = 6*m + 5 + 6*m + 2*m. Let c(b) = -2*h(b) + 11*l(b). Let i be c(1). Solve i*u - 3*u - 3 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165542514?\nAnswer: 2, 3, 37, 113, 6599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-6\/13)*h*h)\/((h**(-11\/4)\/h)\/h) assuming h is positive.\nAnswer: h**(327\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -611909.9 rounded to the nearest one thousand?\nAnswer: -612000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 54\/12*(-1 - (-2)\/(-6)). Let p be 2*(-1)\/(-3)*(-27)\/x. Suppose -p*v - 3 = -18. Let q(f) = -f**3 + 6*f**2 - 3*f - 4. What is q(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4122 (b) -2 (c) 1\/2 (d) 0 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -5, -2, 10, 284.\nAnswer: -8, -5, -2, 10, 284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*x - 33*x - 17476 = 0. Let i = x - -13029. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**5\/20 + r**4\/2 - 7*r**3\/6 + r**2 - 3*r. Let i be k(-7). What is m in 2\/5 - 4\/5*m**3 - 2\/5*m**4 + 0*m**i + 4\/5*m = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of 0*i + 2*i**2 + 0 + 1\/60*i**5 + 0*i**4 - 7\/6*i**3. Let a be f(3). Solve w + 15 = -a*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1808747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238 + 567 - 76 = -27*g for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.107 + 0.107. Put 1\/5, -10, s in descending order.\nAnswer: 1\/5, s, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (16\/14)\/((-4)\/(-8764))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 116853 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -9*b**3 + 13*b**2 - 2. Give t(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22768*h**6 - 31286*h**2 wrt h.\nAnswer: 2732160*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -31\/6*t**4 + 0 + t**2 + 60*t - 1\/3*t**3. Find the second derivative of n(s) wrt s.\nAnswer: -124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -133, -130, -149, -202, -301, -458, -685?\n\"Answer: -2*b**3 + b**2 + 14*b - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k - 14. Let b be n(11). Let m = 53 - b. Does 14 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -363\/4 - -485\/4. Find the common denominator of -97\/20 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*n - 9 + n**2 + 0*n - 4*n + 65 as z*n**2 + p*n + u and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17556 divided by -627.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16*161\/(-2208))\/(1\/(-6))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -708 - 0?\nAnswer: -708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -1 + 10 + -8 + -8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 299 a factor of 444792101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*w**5 + 2*w**4 + 22254*w**3 - 2145606*w**2 wrt w?\nAnswer: -120*w**2 + 48*w + 133524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/8*1)\/((-36)\/(-3)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 920717749.\nAnswer: 7, 53, 2481719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55 + 35. Let k be (10\/25)\/((-2)\/s). Solve 4*d - 4 = -4*r + 3*d, -4 = k*r - d for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than or equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119872 is divided by 13318.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16729 - 8155. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-3))**(19\/6))**25\/((g*g**(-2\/3)*g*g)**6*(g\/(g\/g**(1\/4)))\/(g*g**(-6)*g)) assuming g is positive.\nAnswer: g**(-2119\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 1:19 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*d - 12 = 0, 4 + 20 = -3*f - 3*d. Let i = 13 + f. Suppose -5*c + p + 2*p + 65 = 0, 0 = i*c + 4*p - 39. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24 + z**2 + 24 + 10*z - z**3 in the form a + n*z + w*z**2 + y*z**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1940000 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - -6. Let q(m) = -m**2 + 7*m + 3. What is the smallest common multiple of q(6) and n?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -231052147*-1.\nAnswer: 231052147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 442854 and 15.\nAnswer: 2214270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*q**2 + 12*q**2 + 1 - 15*q**2.\nAnswer: 48*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 0.7, 1, 5, -2\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 4 = -n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = u - 3*u - 1, 5*d - u - 50 = 0. Suppose 2*t - 3*t - 4*f - 5 = 0, -3*t - 4*f = -d. Solve 0 = -3*a + t*a + 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29607 + 29600. What is the biggest value in p, -0.5, -41, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**3\/5 + 152*i**2\/5 - 474*i\/5 = 0.\nAnswer: -79, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 8:17 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 166536359 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1992 + -483.7. Let f = l - 1422. Round f to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9025 and 16075.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**4 + 14*w**4 - w**4)*((-1 - 2 + 2)*(-w - 3*w + w) + 3*w + 4*w - 14*w + (0 - 1 + 0)*(0*w - w + 2*w) - 3*w - 3*w + 5*w).\nAnswer: -60*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -211 + 231. Suppose i = -g + 7, -3*g + 2*i = 2*g - 14. Suppose g*m - b = -m. Solve 16 = -0*c - m*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/8))**(9\/8)\/((n**(-2)\/n)\/n**(1\/3)) assuming n is positive.\nAnswer: n**(613\/192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 3*w - 31, -5*p - 2*w + 3*w - 37 = 0. Let n be 3*-1 + p\/((-48)\/78). Calculate the greatest common divisor of 90 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 12?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2253602 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1351.3 (b) -1 (c) 2\/2013\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*y - 93*y - 4 = -2*s, 4*y + 17*s - 64 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10710468*b**3*y**2 + 3821*b**3*y - 3*b**3 - 2*b**2 + 10 wrt y?\nAnswer: 21420936*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + 1. Suppose p = -5*c + 20, 2*p = 5*c - q - 0. Solve 0 = 8*u - c*u - 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40.882 - 41. Let i = u + 2.118. Let t = -53 + 48. Which is the nearest to i? (a) 4 (b) t (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50 - -90. Calculate the remainder when 119 is divided by o.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -20*d - 91. Let j(f) = -7*f - 31. Let c(b) = -11*j(b) + 4*n(b). Let g(y) = -y. Determine c(l) - 5*g(l).\nAnswer: 2*l - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 != -47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76, 4, 2, -1, -20.\nAnswer: -76, -20, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11403 > 11335?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 4170.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-29))\/((206\/(-2472))\/((-2)\/16))?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -5*b - 19, 111*b - 114*b + 11 = 5*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*j - 5406 + 1335 = 204 for j.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 12 = 5*o, -12 = -7*o + 11*o + 4*n for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - (-19)\/(342\/(-486)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = d - 26, d + y + 4 - 34 = 0. Let n = d + -29. Suppose n = 4*t, 3*t = -4*p - t + 8. Solve -8 = 4*v - 4*j, 6 = v + j + p for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-18))\/((-4)\/(-24)). Let g = -8 - -14. Let n = g - 6. Which is the third smallest value? (a) -0.5 (b) n (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*z - 9 = c, -z = -2. Put -15, c, 0, 4 in decreasing order.\nAnswer: 4, c, 0, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 693 - -660. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49097?\nAnswer: 29, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 11*s + 53. Let w be y(-5). Let b be 22 + w + 8 + -4 - 2. What is the highest common divisor of b and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 880990*g - 5100 = 880922*g for g.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r - 4. Let x be 1 + (0 - 2) + 2. Let s be 6*x\/(1\/1). List the prime factors of z(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 1310014902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -37063043, -74126085, -111189127?\n\"Answer: -37063042*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 10 + 0*g + 0*g + g + 4. Let h be t(-7). Let a(o) = -h - 6 + 17 - o. What is a(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 0 - (65526\/(-6) + -18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1433021 (base 5) in base 10?\nAnswer: 30386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 25. Let s = 14 - o. What is the nearest to -1 in -1, 1, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*n - 36 = 0, 5*n + 9 = -q - 0*n. Solve 3*c = c - q for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 14. Let p be (4 - (0\/2 - 2)) + x. Suppose p*b - 171 - 438 = 0. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 1. Let f(u) = -1 + 3*u - u - 3 - 3. Give f(g) + 5*t(g).\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-18)*p\/(p**10*p*p)*p assuming p is positive.\nAnswer: p**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -13*l. Let g be 731\/(-215) - 14\/(-10). Give c(g).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - -23)\/13 + 24\/(-14). Factor 8\/7*o - y*o**3 + 0*o**2 + 0.\nAnswer: -2*o*(o - 2)*(o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 233*u**2 - 9 + 15 - 34*u**2 to d + v*u + w*u**2 and give w.\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 6*p + 2. Let n be x(-5). Suppose -4 = -27*l - 23 - 35. What is the third biggest value in n, 0.05, l, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j - 18*j = -d - 31, 0 = 5*j + d - 149. Suppose -5*w = -2*u - j - 122, 2*u - 118 = -4*w. What is the remainder when 58 is divided by w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 - -0.2. Let g = 0.955 + 0.045. Suppose 2*j - 16 = -26. What is the nearest to g in -1, r, j?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -275, -2282, -7687, -18188, -35483, -61270, -97247, -145112?\n\"Answer: -283*i**3 - i**2 - 23*i + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000053485 to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -11*f**3 - 3*f**2 - 2*f + 4. Let o(n) = 33*n**3 + 8*n**2 + 5*n - 11. What is 11*j(r) + 4*o(r)?\nAnswer: 11*r**3 - r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 + 1 + -238 + 272?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 0.1, -0.38, -3\/7, -0.4?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -0.1, 1, -573, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1002635?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -2, -47, -1, -22 in increasing order.\nAnswer: -47, -22, -5, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6049, -6051, -6053, -6055?\n\"Answer: -2*a - 6047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -36\/1010069 or -1?\nAnswer: -36\/1010069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 58382 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, l: 1, p: 1, g: 2, u: 7, i: 2}. What is prob of picking 1 l and 1 g?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -6*v**3 - 26*v**2 - 991*v - 4. Let o(b) = -b**3 - 6*b**2 - 248*b - 1. Calculate 2*k(s) - 9*o(s).\nAnswer: -3*s**3 + 2*s**2 + 250*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 641, -2.1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 + -325?\nAnswer: -343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(0 + sqrt(720)) + sqrt(30)\/(2*sqrt(6))*-5 + 2 + (-2*sqrt(30)*2)\/(sqrt(6)*-1*3))**2.\nAnswer: -734*sqrt(5)\/3 + 673589\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 135358123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 343, -5, -33?\nAnswer: 343","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + o = -9539, 3*x - 9224 - 5084 = o. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34121.\nAnswer: 149, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - a = 12. Let h be a\/((-4)\/(-60)*3). What is the greatest common factor of 20 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - 29166564222612\nAnswer: -29166564222611.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, 31, 80, 129, 178?\nAnswer: 227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c + 3*t + 337 - 330, 0 = -5*c - 5*t - 5 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30175964 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 15, q - 5*r = 4*q + 16. Solve -q*w - j - j = -13, -3*w = -2*j - 5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -100 divided by -1400\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 201041112034?\nAnswer: 201041112044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 15)*(-1670)\/(-5845)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-546)\/(-18) + 560\/714 + (-12)\/102. Solve -5*c + 182 = -g*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21324761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 2, -i + 4*i - 4*m = 92. Suppose 5*t - 3*t = i. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 10\/667?\nAnswer: 10\/667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 217237 = 4*x + 431325, -4*b = 3*x + 486449. Let r = -19643 - x. Round r to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 102 and 238?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 413582 - 5?\nAnswer: 413578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*t = 25*t + 120. Suppose -8*k = -3*k - t. What is the remainder when (-4)\/10 - 291\/(-15) is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2244315 - 0.49?\nAnswer: -2244315.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five halves of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -3\/7, -5608?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1715) + sqrt(1715)*-2)\/(sqrt(20)*-6) - (sqrt(35) - (sqrt(35) - sqrt(175)\/(sqrt(5) + sqrt(5)*-5)))\/sqrt(5)*-2)*-6.\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -23*a**7\/5040 - a**6\/360 + 7*a**5\/60 - 7*a**2. Let l(p) be the third derivative of q(p). Is l(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -3 (c) -7 (d) -1 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 1. Let c be o(2). Suppose -2*q - 3*q + 405 = 0. Suppose -79*v = -q*v - 8. Sort c, v, 3 in decreasing order.\nAnswer: c, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 252 = 840. Let j be (10 - s\/27) + (-37)\/(-9). Solve j*m = 8*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**4\/2 - 27*m**3\/2 - 195*m**2\/2 - 169*m\/2 = 0.\nAnswer: -13, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*31999.\nAnswer: 319990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 278558112 + 4*i - 278558112.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -53*d + 3. What is the tens digit of r(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2711583808 to the power of 1\/6, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a10a (base 12) in base 8?\nAnswer: -233432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4243972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 1, -0.6, 0.5, 5, 1\/3 in decreasing order.\nAnswer: 8, 5, 1, 0.5, 1\/3, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 531059.\nAnswer: 59, 9001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 5:11 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 263 divide 79108559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Does 450 divide 316746049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 37*n**2 + 829461*n + 219886668 wrt n.\nAnswer: 74*n + 829461","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 839211 or 839209?\nAnswer: 839209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 4, 3\/5, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13239 = 456*l - 459*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -2*b - 5. Sort -3, b, 8 in decreasing order.\nAnswer: 8, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2033200 + -120?\nAnswer: 2033020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -20, -26, -30, -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 3212022323?\nAnswer: -3212022313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*c + 7*c + 9495 = 0. Suppose -c = -p + 306. List the prime factors of p.\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jhftftftjtjtjif. What is prob of sequence tj?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 7029 = 7028, -5*y = 3*q - 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 c when three letters picked without replacement from hxhhheeehhlwlhhclcxl.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - k - 2*k + (4 + 3 - 8)*(3*k - 5*k + k) - 3*k + 4*k + 7*k)*(0 + 2 + 1).\nAnswer: 18*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 = d - k, 0*k + 4*k + 20 = 0. Let h(s) = s**3 - 2*s. Let x be h(2). Let y be (-2)\/x - (-74)\/4. What is the greatest common divisor of y and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (19 + -11)\/((-5)\/50*-5). Solve -52*p + 68*p = w for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/(-4) - -2 - 0. Which is smaller: -3\/5 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**3\/10 - 3813*o**2\/10 + 1802988*o\/5 + 5495094 = 0.\nAnswer: -15, 1914","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -3*p + 13, 129*p - 146*p + 102 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 564 is divided by 80?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 17 - 162. Let f = -4 - -14. What is the remainder when m is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/6 + 364\/(-21). Let a be (-1)\/(3\/h*2). Suppose 16 = a*k - 377. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x - 2. Let b be y(2). Let t be 0 - (56\/10)\/((-47)\/11045). Suppose 3*q - t = -b*q. Does 47 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -30*l**3 + l**2 - l. Suppose -4*u = n - 3479, -5*u + 57*n = 62*n - 4345. Let w = -869 + u. Calculate j(w).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -1)\/(1\/(-76)). What is the highest common factor of 12 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67528302.\nAnswer: 2, 3, 83, 135599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 5*n**2 - 2*n. Let m(j) = 16*j**2 - 7*j + 1. Suppose 0*c - 14 = -7*c. Let l be (12\/12)\/(c\/4). What is l*m(o) - 7*u(o)?\nAnswer: -3*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 - 4)*(-1 - y + 1) + 2*y - 6*y + 3*y - y + y + 2*y + (2 - 1 - 2)*(-3*y + 6*y + 4*y) to the form q + h*y and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 121 = -5*t - 115, t + 274 = 5*f. 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: Evaluate ((-6)\/2808*6)\/((-65)\/325 - (-13)\/15).\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6b4 - -6b83?\nAnswer: 7347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1955 + -0.1455. What is the nearest to 3 in i, 3\/2, 3\/13?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708048 + -2.41?\nAnswer: 708045.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 275854, 549977, 824100?\nAnswer: 1098223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -6*q**3 + 2*q**2 + 1. Let r be c(-2). Let k = -169\/3 + r. Factor 4\/3*g**3 - 2\/3*g**5 + 2\/3*g**4 - 4\/3*g**2 - k*g + 2\/3.\nAnswer: -2*(g - 1)**3*(g + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 0*y + 66. Let s be (-1)\/(5 - 80\/15). Suppose 172 = -w + s*w. What is the remainder when w is divided by y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 343 divided by 343.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -827357242*q**4 + 248122637*q wrt q?\nAnswer: -9928286904*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 divided by -20.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + 2*o)*(-3 - 1 + 1) + 3*o - o + o)*(-1 - 2 + 1).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = v + 146 - 367, 2*v - 2*t - 442 = 0. Find the third derivative of 4*k**6 + v*k**2 - 239*k**2 - 20*k**6 + 0*k**6 wrt k.\nAnswer: -1920*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**6*j*j**(-1\/5))\/(j**0)**(-21) assuming j is positive.\nAnswer: j**(34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.7 - 4. Let h = -0.0329 + 1.0329. What is the third biggest value in h, w, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272)*-1 + 0)**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2156998, 4313994, 6470990, 8627986, 10784982?\nAnswer: 12941978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 733238 to the power of 1\/2, to the nearest integer?\nAnswer: 856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**2 - 5. Let i be 3*-2*(-2)\/12. Let w be (-10)\/(i*(-2 - 0)). Let b(v) = 3*v**2 + 7. Give w*b(q) + 7*t(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130440463.\nAnswer: 29, 47, 95701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*d**2 + 49*d**2 - 185*d**2 - 94*d**2.\nAnswer: -200*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 269470 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (12*(-5)\/75)\/(-2 + 4)*-245 is divided by 49.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2*u = -3*f + 22, 0 = 3*f - 5*u - 7. What is the common denominator of 53\/12 and 291\/(-42) - f\/(-4)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/10)\/((-14)\/(-70)). Solve 4 = 7*v - s*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20492388554 - -20492388685.999999902. Let i = -132 + y. Round i to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 114 = j + 2*a, 90 = j + 4*a. Is 26 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p + 22*p**2 - 18*p**2 - 4*p.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 1, -1, 6, -215 in decreasing order.\nAnswer: 6, 4, 1, -1, -5, -215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 42969, 5, 1, 9?\nAnswer: 42969","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 544 and 128?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**2 + 104846*h + 1886609. What is z(-18)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*f**3 - 10*f**3 - 3*f**3 - f**3 + 2 - 2 + (3*f - 5*f + f)*(-2*f**2 + 2*f**2 - f**2) - 1 + 1 + 2*f**3 + f**3 - f - 3*f**2 + 3*f**2 + f**3 - 8 + 8*f + 8.\nAnswer: -18*f**3 + 7*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4370400 to the power of 1\/3, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u + 2. Let s be l(6). Let r(y) = -y**3 - 5*y**2 - y + 1. Let t be 2\/9 + (-94)\/18. Let m be r(t). Solve -13 = 5*k - v, -m = s*v - 5*v for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 4 (b) -0.2 (c) 2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -232*d**3 - 220*d**2 + 476*d - 24 = 0. What is d?\nAnswer: -2, 3\/58, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -27024*d + 39584 - 39584 as g + s*d and give s.\nAnswer: -27024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 121153052523 - 5?\nAnswer: 121153052514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 101 (b) 4 (c) 11 (d) 0.3 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 76?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2322 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + x + 2)*(-x - x + 4*x) + 506*x - 33*x**2 - 506*x to the form v*x + q*x**2 + g and give q.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3922285969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7493 and 4826.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1943353048?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45)\/((sqrt(27)\/sqrt(3))\/sqrt(3)))\/(sqrt(432) + -1*sqrt(432) + sqrt(48)))**2.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1671186, -3342353, -5013520, -6684687, -8355854, -10027021?\nAnswer: -11698188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*-3*8\/96.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**3 - 9*f**2 - f. Let q(u) = -u**3 - 8*u**2 - 1. Calculate 3*q(c) - 2*r(c).\nAnswer: c**3 - 6*c**2 + 2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-4\/3)*z\/z**(-5))\/((((z\/((z*z**(2\/17))\/z)*z)\/z*z*z)\/z)\/(z*z*z\/(z*z**(-2\/7))*z)))**(-25\/6) assuming z is positive.\nAnswer: z**(-43450\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(22) - sqrt(792))*-6)\/(-1*sqrt(891)))**2.\nAnswer: 200\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/5 (b) 13 (c) -10 (d) 12393 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.13 (b) 0.1 (c) -3\/28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**(-1\/4))*f)**(-5\/4))**(-2\/15)\/((f**(3\/4)*f\/f**(-3\/5))\/(f**2*f*f**7\/f)) assuming f is positive.\nAnswer: f**(823\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -310719 - 3*n - 53*n**2 + 310948 + 14*n**2 with respect to n.\nAnswer: -78*n - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qnn when three letters picked without replacement from qnqnnnnnnnqqnn.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17776 and 69488.\nAnswer: 1616","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 3*r - 6. Let k be l(-13). Let j = -86 - k. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -0.4, -1\/2, 9\/2, 4\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-207)\/(-21)*168\/72?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 21*i**2 - 18. Let o(w) = -6*w**2 + 5. Let g(l) = -18*o(l) - 5*t(l). Let f(q) = -310 - 6*q + 7*q + 310. Determine g(f(u)).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 15 = -m + 2*m, 5*o + 4*m = 42. Put o, -6, 4, 5 in descending order.\nAnswer: o, 5, 4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 308007915 + 2*n - 308007915.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 + 12. Let w = -8 - l. Which is the closest to 0? (a) 5 (b) w (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2 + (-1*(sqrt(76) + 1*sqrt(76) + -3))**2 + -2*(sqrt(76) - sqrt(76)*1)**2*2.\nAnswer: -24*sqrt(19) + 310","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 6 = 4*d. Suppose -4*h = d, q - 3*h = -q + 257. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*y = -73*y - 7204. Let w = -937 + y. Suppose 4*u + w = 10*u. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**4 + 27*i**3 + 23*i**2*x**3 + 12*i*x**3 + 7*i + 27*x**3 - x**2 wrt i?\nAnswer: -12*i**2 + 162*i + 46*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-80)\/20)\/(-24))\/(21\/12)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - f - 10. Let p be k(6). Let r = 22 - p. Suppose 0 = c + r*c - 1761. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -312 + 312. Suppose -2286 = -5*w - l, 2 + k = 2*l. What are the prime factors of w?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4495499*c + 4495500*c - 13*t + 134 = 0, c + 5*t - 46 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d*d**13*((d\/(d\/(d**(1\/2)\/d)))\/d)\/d assuming d is positive.\nAnswer: d**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 3724 = -8*h. Calculate the remainder when h is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 - q + 112. Let g be x(0). Suppose 21*o - 14*o = g. Is o >= 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -294 + 167. Let c = n - -126.9999764. Round c to 6 decimal places.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 times 16783920?\nAnswer: -2349748.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (85 - 76) + (-4 - (-1 - 0))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -308*x**3 - 14*x - 21.\nAnswer: -1848*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -22?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 8*z - 39 = 0, 4*z = -3*w - 1617 + 1654 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 18. Let d be s(13). Let u = d + 190. Solve u*l = l - 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 8:41 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4*p = 102, -5*q - 2*p + 5*p = 320. Let g = q + 77. Let t be 2 + (-36)\/g + (-13)\/(-4). Solve -t*x + 0*x = -9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s**2 + 0*s**2 + 0*s - 2*s - 6*s**2 to the form c*s**2 + i + h*s and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - -2. Suppose 9 = 2*d + 3*p, -4*d - 2*p + b*p - 9 = 0. Is 6 a factor of 9 + (4 - d) + -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*o + 51*o - 1450 = 44*o - 50*o for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6994481 is divided by 148.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 304968721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 3*f - 42258, 12*f - 9*f = -2*a + 28167. What are the prime factors of a?\nAnswer: 3, 7, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24\/5 - -4. Let x = 33946000\/9 - 3777715. Let q = -5944 - x. Find the common denominator of q and o.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.046 - -0.914. Let l = z + -0.67. Let m = -0.11 - l. Which is the smallest value? (a) -3 (b) 5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1240)\/(-186)*(-2)\/6*1\/5.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 43.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 6 = c. Let i be (c - 3 - -2)*6. Differentiate v - v + 2 + 2*v**4 - i*v**4 with respect to v.\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2698949?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 5*q + 5. Let g be s(5). Let l(y) = -2 + 2*y + y + 0 + g. Let n(k) = -4*k - 2. Let i(u) = -2*l(u) - 3*n(u). Let t(a) = 2*a. Give t(i(h)).\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 12*t + 123. Let m be l(-10). What is the first derivative of 56*k**3 + 15*k**m - 108 + 180 wrt k?\nAnswer: 213*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5 = -5*b + 20, -3*x = 4*b - 12. Let j be (1\/2*x)\/(-1). Let k be ((-2)\/(-10))\/(3\/15). Solve j + k = -y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 1:44 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 65 + -76.8. Let h = 0.2 - n. Let k = 19 - h. Is 0 less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.084208 * 8.\nAnswer: 16.673664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-1392)\/13) + 1932\/(-31395)*(-20)\/(-16).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -3*k - 2*m + 763, 1011 = 4*k + 5*m. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 14744814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(4\/(-2*14)). Let w = 15 - a. Let z(j) = j**3 + 5*j**2 - 7*j - 4. Let m be z(w). Solve -10 = -0*g - m*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -421.17 (b) 1 (c) 0 (d) 0.1 (e) -0.15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -139.817116 to the nearest integer.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 3960?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -150521\/10020116 + 31\/2078. Let v = 810085\/106084 - r. Which is greater: 7 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 7:33 AM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58 and 190938842.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-126)\/56 + ((-6)\/(-24) - 114\/(-24)). Suppose 1\/2*q**3 + 0 + 3*q + j*q**2 = 0. What is q?\nAnswer: -4, -3\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108648 is divided by 2131.\nAnswer: 2098","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 4:54 PM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1a (base 13) to base 7\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.68 - 1.62. Which is greater: a or 0.03?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 921649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t + 13. Let m be g(12). What is the second smallest value in -1\/3, m, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -143\/3 + 49. Factor -y*q - 4\/3 - 1\/3*q**2.\nAnswer: -(q + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*q**2 - 21*q - 13*q**2 + 22*q - 47*q**2 in the form c*q + o*q**2 + l and give o.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -81*k + 35. What are the prime factors of m(-6)?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 13*b + 21*b - 43*b + 19*b + 6*b. Let d be k(0). Solve 5*x + 2*y - 1 = 0, 4*x - 10 = -d*y + 3*y for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219995533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.557 + -0.557. Which is the nearest to -3\/2? (a) 1\/7 (b) -0.5 (c) t (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3971, -7637, -11303?\n\"Answer: -3666*q - 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus -1270951834?\nAnswer: 1270951830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -91668.357938 + 91668. Let o = x - -0.357. What is o rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*d - 214, 2*m - 2 = 2. What is the remainder when (-1 + 0)*d\/(-2) is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36561 + 53390. Calculate the remainder when b is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4731583?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**2 - 6*p**5 - p**2 + p**2 + (0 + 1 - 3)*(-18*p**4 + 18*p**4 - 23*p**5).\nAnswer: 40*p**5 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 7:54 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that q**5\/8 + 287*q**4\/2 - 2303*q**3\/8 - 1725*q**2\/4 = 0.\nAnswer: -1150, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 31*k + 103220. Round k to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*t**4 + 20*t**3 - 2*t**2 + 5839*t.\nAnswer: 24*t**2 + 120*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - -3) + (14 - 37)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/20*(21\/(-7) + 4). Let v be (-2)\/(-9) - (-11)\/(-9). Is y at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19757*j + 5*o = 39505*j - 19766*j + 85, -21 = -5*j - 4*o for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**4\/3 - 4137422*w**3\/3 - 5516570*w**2 - 20687146*w\/3 - 8274860\/3 = 0?\nAnswer: -2, -1, 2068715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 248544 divided by -14.\nAnswer: -124272\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.1354045 * 49\nAnswer: 6.6348205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - -3 - (2 - -1). Let t be 6*20\/(-3)*y. Suppose 3*l - t = l + 2*j, 5*l - 3*j = 190. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pl when two letters picked without replacement from {z: 2, w: 1, b: 3, l: 1, p: 7}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130703?\nAnswer: 29, 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115*(-324)\/58995*(2\/(-5) + 3\/45).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -2 - 1\/2*u**2 + 5*u. Let r be b(5). Solve r = -5*n - 2 - 18 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**6\/h**15 assuming h is positive.\nAnswer: h**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2781609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 10 = 5*d, 0*v = 3*v - d - 16. Suppose 90 = v*q - 10. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (6 + (-1 - 7)) - -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 22\/13, 119 in decreasing order.\nAnswer: 119, 10, 22\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 19. Let v be 4 + o + 0 + 3. Is ((-191)\/3)\/(v\/(-9)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0791071t to micrograms.\nAnswer: 79107100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 296 - 87. Calculate the least common multiple of c and 38.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + 4*y + 3. Let l be d(-19). Suppose -l*i = -292*i + 988. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 8 + 22. Let l(a) = 8*a - 5. Let b(i) = -9*i + 6. Determine k*l(h) + 5*b(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 113902702961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3427887 by 31.\nAnswer: 110577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29*c**4 - 411*c**3 - 41358*c**2 wrt c.\nAnswer: -696*c - 2466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -15 and -196.\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 3*t**4 + 32*t - 5*t**3 + 10*t**3 - 6*t**3 - 1 + 0*t**4 to h + o*t**2 + k*t**3 + a*t**4 + g*t and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 8 - 152. What is the greatest common factor of 16 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 51 = -4*l, 0*l = 3*l + 2*p - 44. Suppose -45 = -2*a + 3. What is the lowest common multiple of a\/5*(-90)\/(-27) and l?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05894 to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 721 and 1.\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 101292 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 the nearest to 1 in 54, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1972*o**2 + 2*o + 4083 wrt o.\nAnswer: -3944*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1035)\/276*380*(-28)\/(-700).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 + -26. Find the first derivative of 8 - 21 + 16*x**3 + c wrt x.\nAnswer: 48*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -h**5\/60 + h**3\/6 - 11*h**2. Let x(i) = -i**3 + 5*i**2 - 5. What is -5*g(k) - x(k)?\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -69389591.\nAnswer: 69389585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 4445?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8.8 + -4.9. Let t = -1598 + 1601.97. Let v = b - t. Round v to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -5. Let x(l) = 6. Let i(f) = 5*n(f) + 4*x(f). Let w(v) be the third derivative of v**4\/24 - v**3\/6 - 539*v**2 - 7. Give 4*i(a) - 5*w(a).\nAnswer: -5*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.71*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -66 - ((0 - -9) + -21 + 36 + -17)\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i + 1. Let n be u(6). Suppose 2 - 1 = 3*b + 2*k, 0 = 2*b + 2*k + 2. Solve n = -b*j - 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*(-1 + 1 + -1). Let q be 1*(1 - (10\/9)\/2). Suppose -9*g - 10 = -8*g. Which is the nearest to g? (a) q (b) m (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 15 = 2*l, 3*o + 3*l - 18 = 0. Suppose -3*i - o*p + 30 = 0, -5*p + 0 = -3*i + 30. Sort 0, 1, i.\nAnswer: 0, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-44240)*4)\/((-8)\/(-14)*11\/22).\nAnswer: -1\/158","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24 - 41*z - 3*z + 42*z)*(-z - 5*z + 5*z)*(31*z + 78*z - 208*z) to the form r*z**3 + h + d*z + x*z**2 and give x.\nAnswer: -2376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 times 18811?\nAnswer: -22573.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -6. Suppose -a*g + 4 = -0. Suppose -11 = -x + g. Calculate the remainder when 23 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**2\/9 + 10606*d\/9 + 10612\/3 = 0.\nAnswer: -3, 5306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (135\/(-6))\/(-5)*(15424\/672 - 23)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3640407*303\nAnswer: 1103043321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -29, -25, -19, -11, -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of i**4\/12 + 5*i**3\/6 + 2*i**2. Let d be j(-9). Let h(u) = u**2 + 12*u + 17. What is the tens digit of h(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9.1 and 14089?\nAnswer: 128209.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 6. Let f(c) be the third derivative of c**5\/60 + 7*c**4\/24 - 4*c**3\/3 + 2*c**2. Let x be f(-8). Solve l + 7 = m, g*m = -4*l - x*l - 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 30 = -0*c. Let t = c + 9. Let q = 17 - t. Is 13 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69 + 26 = -8*r - 65 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, 1024, 1, -2.\nAnswer: -2, 1, 72, 1024","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(7\/(-15)))\/((-59)\/26019*63)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(972) + -5*(sqrt(972) + -2*sqrt(972)))\/((sqrt(120)\/sqrt(5) - sqrt(6)) + sqrt(42)\/(sqrt(14)\/sqrt(2))) + -5.\nAnswer: -5 + 27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -151, -165, -187, -217, -255, -301?\nAnswer: -355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 660356 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -192.3 - -189.3. What is the closest to 0.1 in 0.5, c, -13\/45?\nAnswer: -13\/45","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82519285 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a meter in millimeters?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21212 (base 3) in base 11?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7963 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -4. Suppose -m*c = -4*u + 5, 2*u - 2*c = 6*u - 26. Let o = -2849 - -2848.6. What is the nearest to -6 in u, o, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x - 3. Let z(w) = -2*w + 4. Let n(d) = 3*r(d) + 4*z(d). Let b be n(-5). Suppose b*a + 4*u - 15 = 3*a, 4*a = -4*u - 60. Which is smaller: -0.2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -5*p**2 - 21*p - 36. Let v be (-1716)\/(-165) - 12\/(-20). Let a(c) = -c**2 - 4*c - 7. What is v*a(y) - 2*x(y)?\nAnswer: -y**2 - 2*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05 + 8.05. Let v = h + -13. Which is the nearest to 1\/3? (a) -3\/4 (b) v (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1514.9 and 0.07.\nAnswer: 1514.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -3, -258, -105.1, 2\/9 in ascending order.\nAnswer: -258, -105.1, -3, 0.2, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 9*w - 168, -3*d + 70 + 79 = w. Calculate the highest common divisor of 408 and d.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -0*a - 60. Let x = a - 5. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbduuuxuxxax. Give prob of picking 1 b and 1 u.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d - 15 + 203 = 8. Solve 0 = 5*u - 25, 30 = 5*q - d*q + 5*u for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 705 - -572. Is (15 + 5 + -24)*a\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60466, 120941, 181412, 241873, 302318?\nAnswer: 362741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**4 + 3*b**4 - 2*b**4 + 2*b**4 - b**4 + b**4 + (b - 2*b + 3*b)*(b**3 + b**3 - b**3) + (3 - 9 - 2)*(-3*b + 3*b**4 + 3*b).\nAnswer: -19*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnrnnrnnnnnnrrnnr. What is prob of sequence rrrr?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 277300 + -123089. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*i + 33002 = -22*i + 3*s, -3*s + 18 = 0. Round i to the nearest 100.\nAnswer: 16500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 501946899?\nAnswer: 3, 83, 2015851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**4\/6 + 2233*p**3\/6 + 9725*p**2\/2 + 51647*p\/6 + 12353\/3 = 0?\nAnswer: -11, -1, 2246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -813 - -874. What is the remainder when 115 is divided by s?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 8 (b) -0.2 (c) -3 (d) -472 (e) -0.3 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3506050 - -92837\nAnswer: -3413213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -2*f**3\/15 + 36*f**2\/5 - 448*f\/5 + 503. Determine y so that x(y) = 0.\nAnswer: 8, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29710 take away -0.3?\nAnswer: 29710.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t. Let w be q(-4). Suppose -h + 7 = -5. Find the third derivative of -5*k**w + 9*k**2 - h*k**2 + 2*k**4 wrt k.\nAnswer: -72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3844375976.\nAnswer: 2, 7, 8017, 8563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 40*a**2 + 70*a + 3. Let k(o) = 79*o**2 + 152*o + 7. Determine 6*k(j) - 13*s(j).\nAnswer: -46*j**2 + 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02018 to 4 dps.\nAnswer: 0.0202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -4\/5 (b) 0.5 (c) 5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 4*n - 3*n)*(8 - 1 + 2)*(-3 + 5 - 1)*(-3 + 0 + 0)*(2 + 5 - 5).\nAnswer: -54*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 63949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 0.1, -0.2, -0.030918?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 69 - 49. Let g(n) = n**3 - 5*n**2 - 4*n - 5. What is the remainder when c is divided by g(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 388 or 389?\nAnswer: 389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*v**2 + 81*v**2 - 86*v - 6 - 16*v**2 + 7.\nAnswer: 90*v**2 - 86*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 29004846.9 to the nearest 10000.\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -60*d**2. Let g(t) = 68*t. Determine g(z(q)).\nAnswer: -4080*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 q when two letters picked without replacement from {q: 1, p: 6, b: 7}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 1\/4, 1\/26, 22, -5\/3 in increasing order.\nAnswer: -5\/3, -2\/13, 1\/26, 1\/4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fykxfyfffoxyf. Give prob of picking 1 o, 1 x, and 1 k.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23\/(-69))\/((-3)\/54).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54154.89 centuries in years?\nAnswer: 5415489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g. Let z(c) = -c**2 - 6*c - 5. Let f be (10\/4)\/(1\/(-2)). Let l be z(f). Let v(h) = 0*h + l*h - 2*h. What is v(t(y))?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-51))\/(32\/48).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 577 and 268882.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 22*c**2 + 54*c + 8. What is the least common multiple of o(-19) and 265?\nAnswer: 3445","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14666 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -4 + 4 + ((-1 + sqrt(18) + sqrt(2))**2 - -2*sqrt(162)).\nAnswer: 10*sqrt(2) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-5 - 0) - 3\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/10 of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rflrrrooofohlzl. What is prob of sequence hf?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1212 and 153470106?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4115494781405 less than -0.23?\nAnswer: -4115494781405.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56 - v**3 + 12*v**3 - 11*v**3 + 29*v**3 + 476.\nAnswer: 29*v**3 + 532","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -4*c + 8. Let x be k(4). Let m be 5\/(-10) + 132\/x. Let h = 72 + m. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 307831360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -1918171*s - 7672675. Calculate t(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1889?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -63541, -2, 4, 8 in increasing order.\nAnswer: -63541, -5, -2, -1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 524 is divided by 259?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*t = -58*t - 49. Suppose 2*b = 3*q + 31 + 11, 5*b - 3*q - 105 = 0. Calculate the greatest common divisor of t and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -3, -4, -122 in increasing order.\nAnswer: -122, -4, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 521319 is divided by 30663.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + 2)*4.\nAnswer: 8 + 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1333441 - -120?\nAnswer: 1334111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21011223 is divided by 42.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -1 - ((-19 - 3) + 2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 444829 is divided by 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2470)\/(-3) - (-2)\/3. Suppose 3*z = -110 + m. Let t be z\/18 - 4\/18. What is the highest common factor of 117 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**2*d**4 - 4*a**2*d - 2*a*d**2 + 20*d**4 + 328*d**3 + 3765*d wrt d?\nAnswer: -24*a**2*d + 480*d + 1968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b*s**2*y**2 + 74*b*s*y + 2*b*y**2 + 616*s**2*y**2 + 3*s**2*y + 33*s**2 wrt y.\nAnswer: -2*b*s**2 + 4*b + 1232*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (54\/45)\/(6\/20). Factor 3\/5*s + 0*s**z - 6\/5*s**3 + 0*s**2 + 3\/5*s**5 + 0.\nAnswer: 3*s*(s - 1)**2*(s + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hsb when three letters picked without replacement from bkkkbbkskkskbkkbkhbh?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -35475 * -72\nAnswer: 2554200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 5*l**2 + l**3 - 3*l + 1 - 5*l**2 + 6*l. What is the derivative of n(m) wrt m?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5916 divided by 15.\nAnswer: -1972\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, j: 3, s: 7}. What is prob of sequence nss?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (0 + (-9 - -27)) - -33.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 20. Suppose 8 = 4*h - x*q - 8, 2*h + q = 4. Let s = 189 + h. Is s a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5\/2)\/v*v*v**(4\/5))\/(v**(-5\/4))**48 assuming v is positive.\nAnswer: v**(583\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8585, 68600, 231477, 548642, 1071521, 1851540?\n\"Answer: 8571*c**3 + 5*c**2 + 3*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s + 3*s - 60908373*s**3 + 60908368*s**3 - 3*s.\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 64 = 2*y - 202, 0 = -5*y - 5*q + 450. Calculate the highest common factor of 308 and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/5282 and -11\/174.\nAnswer: 459534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 20 + 3)*(-142*d**2 - 2121897*d + 2121897*d - 3*d**5).\nAnswer: -54*d**5 - 2556*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54883146 and 72?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of a**7\/42 - a**6\/24 - a**5\/4 + 5*a**4\/24 + 5*a**3\/3 - 22*a**2 + 1. Determine t, given that o(t) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/6*9\/(-42). Let h = -4693 + 4698. Which is the nearest to f? (a) 6\/7 (b) 0.4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1397046 to the power of 1\/2, to the nearest integer?\nAnswer: 1182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 5*c + 5. Let r(p) = -p**2 + 6*p - 6. Let h(u) = u**3 + 9*u**2 - u - 3. Let j be h(-9). Determine j*a(k) + 5*r(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 15*m - 14. Let a be l(14). Suppose 5*v - 4074 - 1871 = a. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**2\/7 - 45*i\/7 - 54 = 0. What is i?\nAnswer: -6, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -130 + 74. Let m be k*(232\/(-28) - -4). Round m to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, z: 2}. Give prob of picking 2 z.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1395\/248)\/((-30)\/80)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 61838 = -2*s - 8*v, -4*v = 3*s - 92755. Is s a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3993, -3990, -3971, -3930, -3861, -3758, -3615?\nAnswer: -3426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1942*x = -1934*x - 2592. Factor x - 24*d + 4\/9*d**2.\nAnswer: 4*(d - 27)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -8*n**4 + 92*n**3 + 152*n**2 + 52*n = 0.\nAnswer: -1, -1\/2, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 19*b**2 - b + 22. Determine u(19).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-27))\/((-9)\/15*(-340)\/(-306)).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/5 of a litre in millilitres?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p - 6. Suppose m = -4*u + u + 185, -3*m = -u + 55. Suppose 13 - u = 6*z. Let h be s(z). Which is bigger: -29 or h?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 - ((-24 + 15 - -20) + -10).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 - 371 = -6*n - 4*a, -3*a = -5*n + 291. Calculate the remainder when 62 is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*h**2 + 415*h**2 + 237*h**2.\nAnswer: 688*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -147 + 142 - 12\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1330000113 (base 4) in base 3?\nAnswer: 221210202010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 10, k: 1, t: 2, o: 1, i: 3}. What is prob of picking 1 u and 1 k?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*d**2 + d + 22*d**2 + 31*d**2 - 7 - 3 + 2*d**4 - 3*d**3 + 9 to u*d**4 + k*d**2 + s + o*d + a*d**3 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -846 and -5.\nAnswer: 4230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 4 = -9*v. Suppose -v*k - 119 = -a, -a + 4*k + 135 - 20 = 0. Is a a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4\/35, -0.59 in increasing order.\nAnswer: -3, -0.59, 4\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -7. Suppose u*n + c - 35 = 0, -n - n - 4*c = -50. Suppose 0 = 4*o - o - n. Solve 6 = -o*a - 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -376*h + 384*h - 112 = 0 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 536 (b) 2\/7 (c) 0.5 (d) 4 (e) -23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2763302 * -42.\nAnswer: -116058684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l**2 + 3*l. Let k(a) = 185*a. What is w(k(z))?\nAnswer: -102675*z**2 + 555*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.56 and -88?\nAnswer: -49.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 323268157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ha when two letters picked without replacement from {p: 1, h: 1, a: 7}?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (1*sqrt(171) + 3)*4 + 0 + 5 + 1)**2.\nAnswer: 528*sqrt(19) + 3220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 139 + -71. Suppose -10*c - 7*c + h = 0. Solve -v = c - 0, -w - 2*v - 9 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15\/4? (a) -0.3 (b) -0.5 (c) -91 (d) 2 (e) -28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10363180 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25999417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 z, and 1 o when three letters picked without replacement from zzxzpzzalozlzzz?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -366884748 divided by 18.\nAnswer: -20382486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/17)*u\/(u*u**(-1\/2)*u)*u\/u**20*u\/((u**4*u*u)\/u) assuming u is positive.\nAnswer: u**(-795\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 2*r + 2. Let x be n(-3). Let b = 2 + x. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2102 (base 3) in base 10?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -145*z - 254 + 143*z + 246 - 4*z**3 to the form k*z**3 + b + w*z**2 + v*z and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (-23 - 4 - -16)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 631 (base 11) to base 4.\nAnswer: 23320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 2*m + 34, k - 2*m + 3 - 1 = 0. Let j(v) = 7*v**2 + 4*v + 7. Let l(u) = u**3 - u**2 - 1. Let z(w) = -j(w) - l(w). List the prime factors of z(k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -14*v**5\/5 - 63*v - 518. Differentiate x(j) with respect to j.\nAnswer: -56*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x*x**(-9)*x))*x)**(3\/7) assuming x is positive.\nAnswer: x**(-18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1590 = 962*p - 1068*p. Let o(s) = 3*s**2 + s - 5. Let q be o(-7). Calculate the greatest common divisor of p and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bqfy when four letters picked without replacement from yybqybaybbf.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 - -35. Let m be (2\/2)\/((-7)\/35). Let k = 7 + m. Which is the third biggest value? (a) d (b) 2\/7 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/(-12) + (-4)\/(-16) + 1. Let z be 4\/(-10) + 32\/5. Let v be z*(0 - (-1)\/2). Solve p = c - v*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 0 + -12 - -10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 2)*(-16 + 16 + 7*u + (-14 - 6 + 6)*(2*u + u - u) + 2 - u - 2) to b*u + n and give b.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-5 + 0 - 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*j = -36*j - 5*r - 1358, -5*j = -5*r - 2240. What is the highest common factor of j and 1568?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9 + -12)\/(1 + -2). Suppose y*k + o = 6663 - 475, 3*o + 2066 = k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -31*s**7\/21 - 67*s**3\/6 - 6*s + 1. What is the second derivative of x(l) wrt l?\nAnswer: -1240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(-1\/4))\/(s**(-2\/47)*s) assuming s is positive.\nAnswer: s**(149\/188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 6*a**2 - 5*a + 10. Let q be s(-6). Suppose 0 = 5*y - 2*n + 193, 2*y + 136 = -2*y - 3*n. Let x = q + y. Which is greater: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 12 - 36 = 0. Solve -5*x = 2*g - 0*g - l, -4*x - 3*g = -2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3616 - 3616. Let j = 1\/79 + -83\/316. Suppose -5*p - 5 = -h, 4*h - 2*p - 4 = 2*p. Which is the closest to h? (a) j (b) z (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4\/17 + -29\/340. Sort -3\/7, z, -4\/15 in decreasing order.\nAnswer: z, -4\/15, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -5\/2, -2, 0.22?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 15*b + 19*b + 16 = 0, -6 = -a + 5*b for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 10, y: 4}. Give prob of picking 4 d.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 121.6393872 + -0.6386472. Let t = r - 121. Round t to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 587671434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8 - (-490)\/63 - 94\/(-18). Let z be (d\/(-10))\/(2\/(-44)). What is the highest common factor of 187 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*a - 4*a + 2*a)*(2*a - 3*a - 4*a)*(2 - 3 - 1) + (-1634 + 2520 - 1337)*(-7*a**2 + 6*a**2 + 6*a**2) as p*a**2 + l + y*a and give p.\nAnswer: -2235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + a + 20477 = 0, 20481 = p - 16*a + 14*a. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -134? (a) 2 (b) -5.82 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qtq when three letters picked without replacement from {t: 7, q: 4}.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4616319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3662 is divided by 228.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 368 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -3\/5150 (c) 47 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 982329 is divided by 11291?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 953?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*f - 21*f + 3*f**3 + 48*f - 17*f.\nAnswer: 3*f**3 - 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27775895?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-5*(sqrt(7344) + sqrt(7344) + (sqrt(7344) - -2*sqrt(7344)) + sqrt(7344)))\/(-1*sqrt(27)*-2).\nAnswer: -60*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h**2 - 3*h - 3. Let j = 68 - 72. Let z be 1\/(j*4\/(-96)). Let v(w) = -w**2 + w + 1. Give z*v(r) + 2*f(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26061 is divided by 57?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7372 = -35*t + 109*t + 120*t for t.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71283327 + 15399003 = 5*j. Let q(x) = -235493*x**3 + 5*x**2 + 8*x - 6. Let f be q(5). Let s = f + j. Round s to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) -0.2 (c) 0.1 (d) 3\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -84 + 94. Suppose -s*d + 15*d = 830. List the prime factors of d.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135302 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1464 greater than or equal to 1463?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 12*k. Let q(t) = 3*t - 20 + 20 + 0*t. Determine 4*p(o) - 15*q(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 814528908019434 - k - 814528908019434.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4452?\nAnswer: 2, 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i + 0*i - i)*(4*i**2 - 9*i**2 - 12*i**2) + 5*i**3 - 4*i**3 - 2*i**3 + 2 - 2*i**3 - 2 as d + a*i**3 + h*i**2 + n*i and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 12:41 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f. Let w(n) = 64536 - 129070 + 1587*n + 64534 + 793*n. What is z(w(q))?\nAnswer: -4760*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 765 + 1.13?\nAnswer: 766.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 10*d**2 - 20*d + 7 + 7*d - 3 + 0. Let u(i) = -3*i**2 + 4*i - 1. Give -2*j(g) - 7*u(g).\nAnswer: g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-15) + (-1 + 3)\/10. Let f = 22\/15 + -16\/15. What is the closest to 1 in f, -2, u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 175, 348, 513, 670, 819, 960, 1093?\nAnswer: 1218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(3*-2*5\/15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16272.84 + 15844. Let v = j + -0.16. Let d = v - -459.3. What is d rounded to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -139 + 142. Sort 4\/5, -1, 10, p in ascending order.\nAnswer: -1, 4\/5, p, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 17\/2 of a micrometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 87 and 8787.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -201*v. Let o(u) = 6337*u. Give o(y(j)).\nAnswer: -1273737*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38307180 is divided by 12769060.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*m + 3 = -23*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8 and -7838.\nAnswer: -62704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 130527?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/6*54\/(-12)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1549743525?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7974978?\nAnswer: 2, 3, 11, 120833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -2\/3, -1\/3374, -3, -0.43, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**10*h)\/h)\/h*h)**(4\/33) assuming h is positive.\nAnswer: h**(40\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 117725367?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxkxxxxxtkxt. Give prob of picking 1 x and 1 k.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -10221?\nAnswer: 10223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13.18 - 6.71. What is l rounded to one dp?\nAnswer: 6.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(-20))\/t)\/t)**(-5\/14)*t**(2\/35)\/t*t*t\/(((t*(t\/(t**12*t))\/t)\/t)\/t) assuming t is positive.\nAnswer: t**(579\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -960 divided by 1?\nAnswer: -960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 - -49. Is v\/3 + -4 + 1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -35*t**2 + 15*t + 15. Let n(y) = -9*y**2 + 4*y + 4. Let r(x) = -4*l(x) + 15*n(x). Let a(c) = -c. Calculate r(a(b)).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 4 = 2*b - 7, 5*h + 57 = 4*b for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1819566607 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -79.7 + 81. Let n = -3527.3045 + 3526. Let r = n + v. What is r rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8, -86, -444, -1228, -2600, -4722, -7756, -11864?\n\"Answer: -27*j**3 + 30*j**2 + 5*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/2085919 and 59\/758516?\nAnswer: 8343676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1013872781 and -116018?\nAnswer: 1013756763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - -6. Let p be (-14)\/(-4)*x\/6. Suppose -4*h + 13 = -p. Are h and 5 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) 1 (c) 0.57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 91331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 355092 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 297043729.\nAnswer: 41, 127, 57047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/70)\/((-802)\/8421)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -261131, -522118, -783105, -1044092?\nAnswer: -1305079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2880.573 months to years.\nAnswer: 240.04775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a**2 - 2*a + 2. Suppose 192 - 58 = 2*n. What is the remainder when n is divided by x(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6840 and 24120?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 10*o + 14*o - 24 = 3*j, 0 = -29*j + 13*o - 3*o + 26 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -4.41 and -0.2.\nAnswer: -4.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (36\/21)\/((-14)\/(-49)). Suppose 0 = -3*r + 2*y + 85, m*r + y = 8*r - 56. Let p(q) = -r + 27 + q**2. Let a(s) = -2*s**2. Determine a(p(z)).\nAnswer: -2*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*z + 10 + 13*z + 457*z - 10)*(6 - 9*z - 6).\nAnswer: -4437*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 10*f**2 - 12*f - 21. Let u be x(-11). Let d(o) = o**3 + 10*o**2 + o + 21. Let k be d(u). Calculate the highest common factor of 297 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 12310 to the nearest one hundred.\nAnswer: 12300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -990213 divided by 6?\nAnswer: -330071\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 2:02 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 364160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 11*b**2 - 4. Let k be d(3). Let q = k + -106. Let t = q - -51. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**0*v)**(-22))**(-3\/7) assuming v is positive.\nAnswer: v**(132\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 111876238 to the power of 1\/2, to the nearest integer?\nAnswer: 10577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/13 - 1992*d**2\/13 - 661344*d\/13 - 73188736\/13.\nAnswer: -2*(d + 332)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 24212, 194711, 657480, 1558649, 3044348?\n\"Answer: 24355*c**3 + 5*c**2 - c - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1074 = -468*c - 25410 for c.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 6)*(-24*f**2 + 928 - 2*f**3 + 24*f**2) to the form r*f**2 + k*f + t + g*f**3 and give t.\nAnswer: -4640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 39*k - 73*k + 37*k. Let z(t) = 17 - 4*t**2 - 17. Calculate z(n(b)).\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1051*o + 3174*o - 1063*o + 30 - 1058*o - 30.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, w: 5, g: 3, h: 1, x: 3}. What is prob of sequence xg?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7631820 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/20)\/((-2)\/(-25)*92\/184).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-8)\/72)\/(14\/(-378))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 407 - 819 - 48*f**2 + 410 to the form a*f**2 + o + z*f and give a.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18056 (base 14) in base 4?\nAnswer: 32300130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, p: 2, o: 1, t: 3}. What is prob of sequence tf?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2952)\/(-1107))\/(60\/10)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from ttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.551246 decades in millennia?\nAnswer: 0.09551246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2*u**2 + 8083*u - 8107*u - 5 - 4*u**2 to k*u + j + y*u**2 and give k.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*b**3 - 2 + 2 + b + 93*b**3 in the form n*b**2 + d*b + u*b**3 + z and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 22689350807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 k when three letters picked without replacement from gkkkkgkkk.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 44 or 43?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.2 + -0.2. Let r = -126 - -125. Which is the second smallest value? (a) r (b) -4\/5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22817.\nAnswer: 22817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + t + 3)*(308*t - 109*t - 36 - 143*t).\nAnswer: 56*t**2 - 36*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33)\/(-9) + -3)\/(28\/(-294))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 616, 609, 602?\n\"Answer: -7*l + 623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 11*n**2 + 136 - 23*n**2 - 124 - 6*n**2 - 23*n**2.\nAnswer: -41*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19758 - 19763. Which is the closest to -0.9? (a) d (b) -0.4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 745214476 - 745214476 + y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 170 = -3*n, -5*n + n + 91 = -3*a. Is 45 a factor of (-8 + a)*1*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28\/11, 2\/7, -3\/7 in decreasing order.\nAnswer: 28\/11, 2\/7, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8193 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162 + 333 - 171 + s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 13 = 2*h, -3*h + 3 = 4*p - 3. Suppose 0 = -o - 0*o. Is 15 a factor of 0 + o\/p + 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 11) in base 4?\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -42, -95, -150, -207, -266, -327?\n\"Answer: -t**2 - 50*t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 82440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 85181663601 - -332?\nAnswer: 85181663933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 2586241572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - -1) + -1 - -1835. Let g = 2689 - j. Suppose 2*z**4 + 3*z**2 - 2*z - g*z**3 + 855*z**3 - 5*z**2 = 0. What is z?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6111 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + -6*8\/(-48). Suppose 3282 = 4*v + 2*i, 4*i - 641 = -m*v + 1818. List the prime factors of v.\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 431758?\nAnswer: 2, 61, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and -0.09579726.\nAnswer: 0.67058082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*a = -326*a + 166*a + 4*d + 48, 10*a + 68 = 3*d for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.0204088 to 1 decimal place.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 20 = -4*r, -3*k - 10 = -r + 2*r. Let o be (170\/15 - 8)\/(3\/9). Let v be 60\/(-75)*o\/r. Solve 0 = -2*z + 4 - 6, -v*i + 2*z = -4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x**3 + x**5 - 4*x**3 + (3*x**4 - 7*x**4 + 5*x**4)*(-x - x + 3*x) + 2*x**2 - 2*x**2 + 3*x**5.\nAnswer: 5*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 168722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**5\/6 + g**4\/3 + g**3\/2 - 2*g**2\/3 - 2*g\/3 = 0. What is g?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2\/7 - 204*i\/7.\nAnswer: -4*i*(i + 51)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 444790 or 444792?\nAnswer: 444790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 2 + 38. Let r = 11.21 - 0.35. Let u = 11.06 - r. Which is the fourth smallest value? (a) 0.1 (b) u (c) s (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-4 - -3)) + -3 - -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-4) + (-1 - -1). Suppose -k = -o*k - 6. Let f(g) = 1. Let p(x) = 3 - 6 - 3 - x. Calculate k*f(w) - p(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/27 + (-78)\/(-135)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1658*q - 834*q - 824*q - 276*q**3.\nAnswer: -276*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 - ((-11)\/(-55))\/((-10)\/(-56)) and -67\/8.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/5*x + 1\/5*x**2 + 28\/5.\nAnswer: (x + 2)*(x + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.19864 to 3 decimal places.\nAnswer: 0.199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -22, -21?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 9:07 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*v**2 + 5*v**2 - v**2)*(-2 + 2 + 1) + 2*v**2 - 1 - 6*v**2 - v + 0*v**2 as z*v**2 + w*v + g and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - 531*f + 1460*f + 10 + 1 as z*f + q and give z.\nAnswer: 929","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w*w\/w**3*w)**(5\/9)*(w**(-3\/10)*w)\/(w**(-2\/61)\/w) assuming w is positive.\nAnswer: w**(15613\/5490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -9547*q + 28577. Calculate n(3).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 586255890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.847 * 254777\nAnswer: 215796.119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3145853 is divided by 2615.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 472434227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 - -18*(-2696)\/1152?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -148 - -1626\/11. What is the nearest to 0.1 in a, 0.01, -1\/2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {f: 2, i: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.18965ml in litres?\nAnswer: 0.06618965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**4\/11 + 76*c**3\/11 - 642*c**2\/11 - 1520*c\/11 - 800\/11.\nAnswer: -2*(c - 20)**2*(c + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -266\/3 - -90. Let f(s) = -7*s**3 - 2*s**2 + s - 1. Let p be f(2). Let l = -61 - p. Which is bigger: k or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10173911 divided by -209\nAnswer: 48679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 5*h + 35630 = 0. Suppose -7*w + 0*w + h = 0. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2581698?\nAnswer: 2, 3, 7, 61469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -290 + 3772\/13. Let w = 400.3 - 419. Let c = w + 19.2. Sort c, -3, p in increasing order.\nAnswer: -3, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - (-5)\/15 - 3\/9. Solve 2*y - 4 = 3*u - 12, c*u + y + 4 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4617942, 4617993, 4618076, 4618191, 4618338, 4618517, 4618728?\n\"Answer: 16*i**2 + 3*i + 4617923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 680923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -963*x**2 + 963*x**2 + 40*x - 114*x**3 - 1.\nAnswer: -114*x**3 + 40*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 10*v**3 - 2*v**2 + v - 90. Let t(b) = -21*b**3 + 4*b**2 - 2*b + 181. Calculate 13*k(m) + 6*t(m).\nAnswer: 4*m**3 - 2*m**2 + m - 84","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + sqrt(343))**2.\nAnswer: -42*sqrt(7) + 1032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 2:11 AM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10920 rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000101110 - -1?\nAnswer: 101000101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -12258\nAnswer: -1\/4086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28089 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + k + 17 = w, 0 = 3*k + 6. Let c(b) = -b**2 - b + 1190. Let o be c(-35). Solve 2*y - w*y - 3 = o for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 869305 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -851 - -4257\/5. Which is the closest to 1? (a) s (b) 4 (c) -135\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 73*m**2 + 11*m + 22. Let a(r) = r**2 + r + 2. Determine 22*a(y) - 2*g(y).\nAnswer: -124*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24133803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 8*d**2 - 2*d + 11. Let v be h(8). Let g = 0 - v. Suppose 0*t - t - 5 = 0, g*k - t - 85 = 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: Let s = 41 + -28. Solve s = 2*q - 5*v, 9 = 3*q + 3*v - 0*v for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v - 10. Let p be w(-6). Let s be 3\/(-2)*(-2)\/p. Sort 0.3, -2\/9, s.\nAnswer: s, -2\/9, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 255.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2189, 2190, 2189, 2186, 2181, 2174, 2165?\nAnswer: 2154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20*j + 742*j**2 - 2 + 4 - 715*j**2)*(j - 2*j - j) to r*j + d + i*j**3 + f*j**2 and give i.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2757379967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11\/6 or -6909?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 - 2*f**3 - 2*f**5 + 2*f**3 + (-3*f + 5*f - f)*(16*f**2 - 3*f**4 - 16*f**2) + 2*f**5 + f**4 - f**4.\nAnswer: -3*f**5 - f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-45)\/(-324)*(-18)\/40?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -5*f**5\/24 - 5*f**4\/8 - 3*f**3\/4 + 27*f**2. Solve v(h) = 0 for h.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 112 and 36322748.\nAnswer: 145290992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51 + 30 - (-2 + -1)) + 7.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(3 - (-5)\/(20\/(-16))). Calculate the remainder when 92 is divided by ((-255)\/45)\/(y\/12) - 2.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 smaller than -207900.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by ((-2)\/4)\/((240\/(-16))\/1320)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62000810.\nAnswer: 2, 5, 6200081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 52639623*m**5 - 37*m**2 - 15*m - 1323?\nAnswer: 3158377380*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49 - 27. Let v(a) = -21*a. Let t be v(-1). Let z = y - t. What is the smallest common multiple of z and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -820950 * 2\nAnswer: -1641900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38 - (-64 + 57)) + 21?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18633 - 48453 = -20*g. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 + -338?\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 81152 take away 60.78?\nAnswer: 81091.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4398 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1017 = 2*r + 369. Let s be (32\/r)\/(10\/21). Let g = -4691\/270 + s. Find the common denominator of g and -17\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/2084 and 103\/68?\nAnswer: 35428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 12:34 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*j - 15*j - 5*j - 53*j.\nAnswer: -48*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*x - 1583 = 1119 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 111 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -10. Let b be (-20 + h)\/(27\/(-18)). Solve 2*t + 0*t - 2 = 4*i, 3*i + b = -t for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -391, -1544, -3465, -6154?\nAnswer: -9611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - 4*c - 36. Let q = 3\/764 - -373\/2292. Sort q, -0.2, -1, c.\nAnswer: c, -1, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -0*n + 12. Let j = 12 - n. What is the remainder when j is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 9*l - 10. Let n be w(7). Suppose 0 = -r + 3*x + 4, -19 - 21 = -n*r + 4*x. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/2 (b) 4 (c) -6 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 w when two letters picked without replacement from {w: 1, t: 1, e: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 72*r - 2098. Let n be h(22). Let o(t) = -t**2 - 30*t - 26. What is o(n)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.336 to zero dps.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/1972 and 69\/116?\nAnswer: 1972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -923, -1390, -2191, -3494, -5467?\nAnswer: -8278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1952.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1679454*f - 3271134.\nAnswer: 1679454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 120200123?\nAnswer: 120200133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 57460 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 - -65. Calculate the remainder when x is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - g - 2 = 0. Let o be (g\/(-3))\/((-8)\/12). Let s(d) = 10*d + 1. Calculate the least common multiple of s(o) and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - (-11 - 2) - 1. Let f be (1*k)\/(24\/132). Calculate the greatest common factor of f and 440.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 327310 and 240335.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -104.673193 to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**2\/6 - 67*m - 13467\/2 = 0.\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-324)\/(-15))\/(((-6)\/(-40))\/1) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 11:53 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 5*p**2 - 6*p + 1. Let c be h(5). Suppose 48 = -5*o - 177. Let y = c + o. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 12 = 5*m, q + m = -3*m + 18. What is the tens digit of ((0 + q)*-51)\/(27 + -28)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 457*h*i*z**3 - 124*h*i*z - 3*h*z**3 - 893*h*z - 7*h + 2*z wrt i?\nAnswer: 457*h*z**3 - 124*h*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -0.31, -1\/4, -0.092.\nAnswer: -0.31, -1\/4, -0.092, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -1\/6*d**3 + 0*d + 1\/60*d**5 + 1\/24*d**4 + 0 - 20*d**2. Determine l(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) -5 (c) 2 (d) 13 (e) -2\/505 (f) 3 (g) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: -1077.7*-0.2321\nAnswer: 250.13417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 - 17*w**2 + 4*w**2)*(1 - 1 - 3)*(9 - 10 + 8 - 2 - 2 + 2 + (1 - 1 + 1)*(-2 - 1 + 1) - 2 + 2 + 1)*(3*w + 1 - 1).\nAnswer: 576*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11953 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -2*q + k, 5*q + 13 = -5*k + 23 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2582.17 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1))**(-23)\/((g*g**0*g)\/(g\/(g**0\/g*g)*g)))\/(((g\/((g*g**3)\/g))\/(g\/g**(-5)))\/(g**6\/g*g**4)) assuming g is positive.\nAnswer: g**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(2673) - sqrt(2673)) + sqrt(165)\/sqrt(5)*-6)\/(2*(-2*sqrt(33)\/sqrt(3) - sqrt(11) - sqrt(11) - sqrt(1100)*-1)).\nAnswer: -17*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -0.08 (c) 0.072 (d) -4562\/3 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 1 + 1\/3*y**3 + 0*y + 0*y**2. Let d(a) = 4*a**2 - 9*a + 6. Let k(c) = -d(c) + p(c). Factor k(m).\nAnswer: -3*(m - 2)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 512483.\nAnswer: 67, 7649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 883*h - 185548. What is b(210)?\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of 3*g**2\/2 - 4*g + 8. Let j be i(1). What is the units digit of 16 + 3 + (-2)\/j*-1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 126 - 121. Solve -5*x - k + 8 = 0, 4*x = -0*x - u*k - 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, p: 1, z: 4, n: 1}. Give prob of picking 2 w and 1 n.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 3*c + 4*g, -4 = -13*c + 16*c - 4*g. Solve h = c - 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*z + 487 = 0, 5*j - 976 = j - 4*z. What is the greatest common factor of j and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3800.96 + -3801. Let l be 16\/28*(-6)\/(-8). Which is the closest to 0.1? (a) l (b) -0.1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - (-65)\/15)\/(73\/(-219)). Which is the nearest to -1\/6? (a) -3 (b) w (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5 = -15. Suppose -u*k - a = -317, -2*k + 5*a + 74 = -k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 843.22422 milliseconds in hours?\nAnswer: 0.00023422895","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -3*k - 6, 10 = 5*b - k - k. Solve -7*f + 18 = y - b*f, -3*f + 22 = -5*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - q - 2 = 0, q + 2 = -1083*c + 1084*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*j + 2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3948471 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115513.\nAnswer: 115513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 != -6692?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4*(2*sqrt(1617) + sqrt(1617)))\/((sqrt(189)*-2)\/sqrt(7)).\nAnswer: 3 + 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -2 - (-3 - -13) - 0 - 5\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4093\/1106 + -2\/2765. What is the common denominator of -125\/6 and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -15*n**2 + 882*n + 1939. Give w(60).\nAnswer: 859","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/18*(-504)\/48?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 4*g + z - 77, g - 5*z = 11. What is the highest common factor of g and 180?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -354?\nAnswer: -354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -751 - 104 = -5*g. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10839 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {p: 1, e: 1, a: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10766, -10767, -10768, -10769, -10770?\nAnswer: -10771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**4 - 2610*i**3 + 1995*i**2 + 530100*i + 1501632 = 0 for i.\nAnswer: -12, -3, 16, 869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) -240 (b) -0.046 (c) -0.035 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 divided by -141974.\nAnswer: 13\/70987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 8, 0.001, -147, -7, 3\/2 in decreasing order.\nAnswer: 8, 3\/2, 0.001, -7, -9, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 + -68\/3. Let n = 115\/4 + -29. Let p = 2 + -1. What is the biggest value in b, p, n?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - 58*z - 55. Let d be u(61). Solve -d*o + 121*o = -35 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -211*d**4 - 13*d**3 + 17016.\nAnswer: -844*d**3 - 39*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 1 + 4*u + u + u**2 + 0 + u**2. What are the prime factors of j(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35625450 rounded to the nearest 1000000?\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (84\/8*1)\/(3\/4). Suppose -6 = -15*s + a*s. What is the least common multiple of s and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -2311123001?\nAnswer: -2311123010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3930028 times 131?\nAnswer: 514833668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 6*r**2 + 4*r - 36. Calculate the least common multiple of 18 and f(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -11.7, -3, -0.109, -5, 7, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 6*m**2 - 17*m + 25. Calculate o(5).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -8. Suppose 2 = -2*q, -b*m - q = 450 - 3205. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000553 rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3*u = -15, -3*j - u - u + 15 = 0. Suppose -j - 13 = -3*n. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(170) + 1*sqrt(170))*-5)\/((sqrt(80)*1)\/sqrt(8))*-2)**2.\nAnswer: 6799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 5. Let h = l + 5. Let m = 6 + -4. Calculate the greatest common factor of m and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3751021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -26.44176*59\nAnswer: -1560.06384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (559*h + 716*h - 76*h)*(1 - 2 - 2*h + 0*h) - h**2 + h**2 + h**2 + 3*h**2 + h**2 - 6*h**2 + (-5 - h**2 + 5)*(-1 + 3 + 0) - 4*h**2 + h**2 + h**2.\nAnswer: -2403*h**2 - 1199*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - u = -5*u, 5*u - 5 = 0. Let g(o) = o**3 + 6*o**2 + 5*o - 4. Let t be g(-4). Let x(b) = 1 + t*b + 0 - 2. Let r(h) = -h. Determine l*x(n) + 14*r(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -64 (base 8) to base 9\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1582*t**4 - 2182*t - 19998171?\nAnswer: 6328*t**3 - 2182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**4 + 2*s**4 - s**4 + (0*s - 4*s + 3*s)*(0*s**3 - s**3 - s**3) - 5*s**4 + 1 - 1.\nAnswer: -s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 28*x**2 - 39*x - 81. What is the lowest common multiple of 270 and z(-27)?\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2794\/77 - (-4)\/(-14). Suppose -20*k = -m*k + 496. Solve 5*j - 2*y + k = -6*y, 0 = -2*j - y - 10 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -177*k - 1. Let n be a(2). Let m = 233 - n. Is m\/16 + (-1)\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 277134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c + 3*t - 9 + 23, -5*t + 2 = -3*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 160 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 23615190.1 and -1.6.\nAnswer: 23615188.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 78, 4, 5, 167.\nAnswer: 1, 4, 5, 78, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -1. Let h(n) = 5*n + 2435 - 4*n - 2432. Give -2*g(i) - h(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, -1\/4, 0.1, 5\/4.\nAnswer: -39, -1\/4, 0.1, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 10*q**2 - 1. Let l(w) = w - 2. Let b be l(1). Give s(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n. Let b(i) = -4*i - 4. Suppose 0 = -0*w - 5*w - 30. Let j(p) = w*u(p) + b(p). Let r be j(4). Solve 3*v - 11 = r, -22 = s - 4*v for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2793*h*l**3 - 2*h*l + 5825*h + 52*l**4 - 3*l + 2 wrt l?\nAnswer: -16758*h*l + 624*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ct when two letters picked without replacement from {s: 2, o: 1, g: 1, h: 1, t: 1, c: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**0*a*a)**17*a**(-6)*(a**4\/a)\/a assuming a is positive.\nAnswer: a**47","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**2 - 13*x + 30. Determine u(4).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/173 + 1378\/519. Suppose 5*s = -15, 7 = -2*h + 4*h - s. Determine w, given that h*w**2 + v + 4*w + 1\/3*w**3 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4 = -0*z. Suppose -d + 12 = 3*q, 4*q - d + 5*d - 16 = 0. What is the remainder when (q\/6)\/(z\/30) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -24 (b) -2\/5 (c) 2\/23 (d) 0.099\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3226307*j**4 + 8169407 wrt j?\nAnswer: -12905228*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**2 + 3. Let t be k(4). Suppose z - 4*z + t = 0. Calculate the remainder when 32 is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6406, -6411, -6416, -6421, -6426, -6431?\n\"Answer: -5*u - 6401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*w = -28*w + 429. Let k = w + 429. Solve -3*x + 2*x + b + 1 = k, -2 = -4*x + 5*b for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m - m + 2*m + 256569.\nAnswer: -3*m + 256569","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1588 - -2987. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -231, -467, -705, -945, -1187, -1431, -1677?\n\"Answer: -r**2 - 233*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12045*p**3 - 2*p**2 + 8146 wrt p?\nAnswer: 72270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79001020?\nAnswer: 2, 5, 7, 31, 109, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -6*j + 55. Determine o(12).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 9*j - 12. Let z be b(7). Suppose z*a + 27 - 63 = 0. What is the remainder when 50 is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 153876 to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (47\/(-658)*30)\/((-1)\/7)*34\/(-10).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -1336*n**5 - 4*n**4 - 1379*n**2 - 4*n. Let u(f) = -2*f**5 - f**4 - f**2 - f. Let w(x) = -k(x) + 4*u(x). What is the third derivative of w(o) wrt o?\nAnswer: 79680*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 251*t**4 - 24*t**2 wrt t.\nAnswer: 6024*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 553221 + -553210. Suppose -3471 + 455 = -4*d + 4*g, 3*d + 2*g = 2287. Calculate the highest common factor of d and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9730*i**3 - 1 + 9731*i**3 + 1.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((-8 - -23) + -14).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -5*sqrt(432))*-6)**2*-3.\nAnswer: -1167372 + 38880*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-3)*(-11529)\/(-188307)*(-7)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 167301, 0, -5, 4, 34, -3 in descending order.\nAnswer: 167301, 34, 4, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 4*q**6\/3 - 7*q**2\/2 + 4. What is the second derivative of p(v) wrt v?\nAnswer: 160*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -25, -5, -2\/101, -4?\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1168394?\nAnswer: 2, 61, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 345 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q + 1 = 1. Let v(j) be the second derivative of 3\/4*j**4 + q - j + 0*j**2 + 0*j**3. Let c(z) = -z**2. What is c(v(d))?\nAnswer: -81*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 190.8?\nAnswer: -57.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 8:01 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62 or -18688\/299?\nAnswer: -18688\/299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*r - 8*r - 45. Calculate the lowest common multiple of r and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 2. Let h = p + 3. What is the remainder when (-63)\/6*-2 + 2*1 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - -10. Suppose -n + i + 3*i + 37 = 0, -2*i = -5*n + 113. Which is greater: n or z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -85677 (base 9) to base 3.\nAnswer: -2212202121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 11*b**2 + 12*b. Let r be x(12). Let m(k) = -k**3 - 27*k**2 + 56*k - 46. Let g be m(-29). Suppose 63 = g*a - 237. Solve 6*f - f - a = r for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -235836 and 2.\nAnswer: -471672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5495?\nAnswer: 5, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -343\/30 + 51\/10. Let d = s + 6. Which is bigger: -2\/41 or d?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39*a**4 + 2*a**3 + 3*a**2 - 78 wrt a.\nAnswer: -936*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = h + 8. Suppose -2*i = -3*i - h. Let c = 0 - i. Solve g = -2*d - 15, c*d + 26 = -4*g - 4 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/60 and 49\/120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 4*o**2 - 1\/24*o**4 + 0*o + 0 + 1\/6*o**3. Give n(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 112529, 225051, 337575, 450101, 562629, 675159?\n\"Answer: d**2 + 112519*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -439 + 101. Let d = b - -338.00286. What is d rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 110\/191 + -199572\/955. Which is smaller: b or -209?\nAnswer: -209","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 448 + -476. Which is smaller: c or -22?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t - i - 12, -t + 30533 = 4*i + 30566 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -9686 bigger than -9585?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17980 is divided by 2238?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 94594.52cm in meters?\nAnswer: 945.9452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 316 (b) -44 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49226840?\nAnswer: 2, 5, 13, 137, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 1\/2 (c) 32 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - -9)\/(14 - 12). Suppose -3*t + 5*x = -7*t - 19, -2*t - y*x = 7. Let r be (-5)\/(15\/t) - 0. What is the nearest to 1 in -3, r, -1\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - t - t)*(-1 + 9 + 11)*(3*t**4 - 6*t**4 + t**4).\nAnswer: 76*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 a when two letters picked without replacement from {z: 4, g: 4, s: 1, a: 3, b: 1}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n\/(((n*n**(-2\/9))\/n)\/n))\/n))**(-27)\/(n\/(n*n**(-18))*(n**(2\/7)*n)\/n))**30 assuming n is positive.\nAnswer: n**(-2580\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2846048318 + 9.6?\nAnswer: 2846048327.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1634*k**3 + 7898*k wrt k.\nAnswer: -9804*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y + 0 - 3*y - 7. Let u = 4575 + -4566. Determine o(u).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -35.42 to the nearest integer.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 64 = -5*b, 8 = -3*f - b + 76. Let a = 1 - -4. Let p = 3 + a. Calculate the remainder when f is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-9 + 8) - -10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -14*y**3 + y. Suppose 0 = -m + 15 - 16. What is the tens digit of h(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 428 + 364 = -12*k - 54*k for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -12*k + 14. Let u be n(7). Let l = -120 - u. Let a = l - -81. List the prime factors of a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 1628172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 1\/201?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, a: 2, t: 1, l: 5, c: 3, n: 1}. Give prob of sequence ytc.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0*b + 4*b = 8, -21 = -4*s - 5*b. Suppose s*z + 28 + 52 = 0. Is 0.2 less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (120\/10)\/(-24) + (-2)\/(-8). Sort 201, o, 1, -0.5.\nAnswer: -0.5, o, 1, 201","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**2 + 3*t**2 + 2*t**2 + (15*t + 88*t + 12*t)*(4 - 4 + 2*t))*(-t**2 - 2*t**2 + 0*t**2).\nAnswer: -696*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 1)*(0*h**4 - h**4 - 4*h**4) - 4*h**4 - 2 + 2*h + h**4 + 3*h**3 + 4*h**4 as l*h**3 + n*h**4 + q*h**2 + s*h + x and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -77016, -76972, -76846, -76596, -76180, -75556, -74682?\n\"Answer: 7*o**3 - o**2 - 2*o - 77020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 8:54 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2115 + -1948. Calculate the remainder when 10017 is divided by o.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 75 = 3*r. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 1963?\nAnswer: -1\/1963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10340 (base 6) in base 11?\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 50 - 8 = 0. Let p be ((-16)\/w)\/((-18)\/(-63)). Suppose 0 = -10*t + 18*t. Sort t, 1, p.\nAnswer: t, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 7. Suppose -w - 2*h = -8, -l = 2*w - 5*h - 0*h. Solve 0 = -4*x + w*x - 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6875507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j. Let c(z) = -2*z**2 + 2*z - 3778. Determine d(c(s)).\nAnswer: 2*s**2 - 2*s + 3778","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -6. Let b(y) = 2*y**2 + y + 5. Calculate the remainder when b(u) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 13*x**2 + 11*x - 6. Let y be f(10). Is y\/(-3) - 5\/15 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4477 rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1898600 is divided by 3159?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -16*s - 2. Suppose -3*f - 41*i = -44*i - 30, -5*f + 41 = -2*i. Let c(n) = -32*n - 5. What is f*q(t) - 3*c(t)?\nAnswer: -16*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15230131 or 15230130?\nAnswer: 15230131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + -5. Let w be (i\/21)\/((-4)\/14). Suppose 0 = -t - 0*t + w. Solve -4 = c - t for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/72*12*-3.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 12*o + 23. Calculate the smallest common multiple of 24 and x(10).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*y = -3*y - 15, 3 = -i - y. Let n = 248 - i. List the prime factors of n.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 3*((-1 + sqrt(832) + -1)**2 + -5))*3.\nAnswer: -288*sqrt(13) + 7479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (-296)\/(-36) - (-2)\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 34.20634ng?\nAnswer: 0.00000003420634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/77 and -67\/6650.\nAnswer: 73150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (4 + -3 - (-1 + 5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6528 and 2228802.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hne when three letters picked without replacement from {n: 1, u: 2, e: 6, h: 4}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4*q + 14. Let n be l(5). Let c(d) = d**3 + 5*d**2 - 5*d + 6. Let s be c(n). Solve -4*r = r - 2*w + 5, -2*r + 4*w + 14 = s for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w + 2*w - 30 - 390 = 0 for w.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 193548459 to the power of 1\/3, to the nearest integer?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**4)**(2\/23)*(((r\/(r*r\/r**(-3)))\/r)\/r)**(1\/6) assuming r is positive.\nAnswer: r**(-13\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 8, y: 1, c: 4, h: 2, a: 4}. What is prob of picking 1 g and 1 h?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.300821 rounded to 4 decimal places?\nAnswer: 0.3008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0 + 80 + 23 + -20 is divided by -5 + ((-8)\/(-3))\/((-6)\/(-108)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o*o**(-1\/6)*o)\/(((o*o**(-10))\/o)\/o))**(10\/13) assuming o is positive.\nAnswer: o**(445\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, 0.04, -1.6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l - 46 = -6 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*q**2 + 220*q**2 - 288*q**2 - 408*q**2 to the form h + u*q + g*q**2 and give g.\nAnswer: -521","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3876 and 60860.\nAnswer: 3469020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t = -3*j + 16*t + 780, -5*t = 4*j - 1102. What is the smallest common multiple of j and 40?\nAnswer: 2680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -15*h + 15. Suppose 4*b + 12 = -8. Let r(c) = -7*c + 7. Let z(y) = b*r(y) + 2*u(y). Find the first derivative of z(d) wrt d.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zznn when four letters picked without replacement from {n: 10, z: 10}.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 16 + 1 - -4 - 69\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11695 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 604428 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 + 21 = -4*n. Let v = 49 + -35. Calculate the greatest common factor of n and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 41429 = -33*s + 29*s, 0 = -5*s - 40. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 6) + 4 + 3 + -6 + -14?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -134*p**5 + 17398*p**4\/11 - 5714*p**3 + 6054*p**2 + 15480*p\/11 + 216\/11 = 0.\nAnswer: -2\/11, -1\/67, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gzlzzzkklkkzkzzllk. Give prob of sequence zlg.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4*-64893.7\nAnswer: 259574.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -36\/17, 5, -2\/5, 109\/4?\nAnswer: -36\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -475274 <= -475272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22272 and 40832.\nAnswer: 244992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 120 = 3*x + 432, 4*g - 414 = 3*x. Calculate the remainder when 2855 is divided by g.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 845, -0.4, -0.6, 20.1 in decreasing order.\nAnswer: 845, 20.1, -0.4, -0.6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44\/(((-980)\/(-175))\/((-2)\/5)).\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11206 - 11206.5847. Let q = f - -0.58. What is q rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -2*m**2 + 45*m + 439. Give n(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, n: 3, v: 6, t: 2, o: 3}. Give prob of sequence nni.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2 + 3*h. Let n be j(-2). Suppose -3*x = 2*w + 10 + n, 0 = 4*x - 4*w + 16. Does 2 divide 63\/12 + 1\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/654257?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*v + 19 = 2*h, 2998*v - 3002*v + 20 = -4*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-58 - (-1 - (-16 + 9))) + (-35 - -25)\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3464370?\nAnswer: 2, 3, 5, 7, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 5*d = 70, -d - 14 = 231*h - 230*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112133 - -100131201?\nAnswer: 100013002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 10*j**2 - 15*j + 150. Let g be h(10). Solve -6*i - 48 + 42 = g for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s - 3*s**3 - 4*s + (s + 6*s - 5*s)*(5*s**2 - 2*s**2 + 0*s**2) - 4*s**3 - 17*s**3 - 19*s**3 as h*s + j + i*s**2 + r*s**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*v + 827 = -98*v - 1077 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 22 = -2*u - 2*g, 3*u = -3*g + 9. Let f = u - 1. Find the common denominator of -91\/12 and f\/(-2)*(-913)\/(-66).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -609 divided by 5\nAnswer: -609\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -12 + 11 + (-11 - (-20 - -37)) + 14\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 12*g + 26. Suppose -14*o - 30 = -17*o. Is l(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101110 (base 2) to base 7\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 20*i**3 + 40*i**3 - 6*i + 2*i**2 - 22*i**3 - 2*i**4 in the form l*i + x*i**2 + j + s*i**4 + z*i**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -334 + 333. Let z be (-2 + 1)\/1 - 51. Calculate the lowest common multiple of g\/(3 - z\/(-16)) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228 + 15*m**2 + 266 - 1015 + 265 + 259.\nAnswer: 15*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 6 (b) -1 (c) -51 (d) -0.3 (e) -276\/5 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3683, 14950, 33795, 60218, 94219, 135798?\n\"Answer: 3789*u**2 - 100*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -199.623 to one decimal place.\nAnswer: -199.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*q - 55 = 0. Suppose -q = 4*p - 51. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**3 + 8*m**3 - 40*m**2 + 136*m**2 - 96*m**2.\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-189)\/756)\/(15\/(-2460))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -166 - -185. Suppose -23*r = -g*r - 80. What is the remainder when 74 is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 10*i - 13. Let y = -3 + -6. Let n be f(y). Let z(t) = -t - 1. Calculate z(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 4 = -5*z. Suppose 0 = 3*p - z*s - 192, -2*s = 2*p + 19 - 133. Calculate the least common multiple of p and 2.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**40*l**(-12\/11))\/((l\/((l\/((l**(-29)\/l)\/l))\/l))\/(l**(-3)\/l)))**(-14\/5) assuming l is positive.\nAnswer: l**(434\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2 - 18 = 0. Calculate the remainder when z is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (23\/4)\/(7110\/2376 + -3). Let a = s - -761. Solve -a*k - b = 4, 6*b - b = k + 24 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 90, 215, 398, 645, 962, 1355?\nAnswer: 1830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 - -4) + (-348)\/(-4). Suppose -5*z - n + 6*n = -v, 4*n - 16 = 0. Does 21 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3514, 14086, 31706, 56374, 88090?\n\"Answer: 3524*m**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 931257317.\nAnswer: 19, 151, 324593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 139662 times 3293?\nAnswer: 459906966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122, 582, 1492, 2966, 5118, 8062, 11912, 16782?\nAnswer: 22786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16564, 33097, 49630, 66163, 82696?\nAnswer: 99229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0489 + -27.097692.\nAnswer: -27.048792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/16946 and 22\/37999.\nAnswer: 17403542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.7 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293981311.\nAnswer: 13, 22613947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - -3)\/((-4)\/(-2)). Suppose b = 40*m - 46*m + 132. Solve 2*o + 6 = 2*w, 3*o + 5*w - 9 = m for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 76492, 76483, 76474?\n\"Answer: -9*t + 76501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -g**3*j*y + 3*g**3*y**2 - 71534*g**2*j*y**2 - 2*g - j*y + 19198*y**2 wrt j?\nAnswer: -g**3*y - 71534*g**2*y**2 - y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*n = -37*n + 360. Let t be 762\/4*(-16)\/(-24). Suppose 2*p = -j + 215, -5*j - t + 662 = 5*p. What is the greatest common factor of n and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*r**4 + 2*r**4 + 6*r**4 + 6*r wrt r?\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -17. Let s(k) = -3*k**2 - 6*k + 2. Let r(v) = -8*v**2 - 17*v + 6. Calculate q*s(u) + 4*r(u).\nAnswer: u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2906*t - 5809. Let y be c(-2). Factor -25\/4*s**4 - 65\/4*s**y + 5\/4*s - 45\/4*s**2 + 5\/2.\nAnswer: -5*(s + 1)**3*(5*s - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*j**3 + 114*j**2 - 286*j**2 + 147*j**2 - 2*j**3 - j + j + (j - j - 2*j)*(-j**2 + 6*j**2 - 3*j**2).\nAnswer: -13*j**3 - 25*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 + 3 - 3)*(12 + 8 + 2) + 11*t**2 + 16*t**2 + 17*t**2.\nAnswer: 88*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 647410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 4:29 AM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 79174350 and 102.\nAnswer: 1345963950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*h = -71*h + 27*h + 12972 - 223 for h.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56520 and 20.\nAnswer: 56520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/9 in -5, 0, -2\/149, -2?\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1669, 1615, 1535, 1435, 1321, 1199, 1075, 955?\nAnswer: 845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7 - 1)*(-21)\/(-9). Let c = u - 9. What is the second biggest value in -4, -0.4, c?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 8450.\nAnswer: 2\/4225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000164263191 rounded to 6 dps?\nAnswer: -0.000164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4 - 4 = 0. Let k be 1*(p - 0) + 1. Let f be (-1 - k)*(-9)\/18. Solve -10 = -5*y + 2*w, -2*w + 13 + f = 2*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5\/4)*m\/(((m*m*m*m\/m**4*m)\/m)\/m)*m)**3 assuming m is positive.\nAnswer: m**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110 (base 2) to base 15.\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + -3 - -23) + -19 + 3 + (0 - -20)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4939, 9859, 14777, 19693, 24607, 29519, 34429?\n\"Answer: -x**2 + 4923*x + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1107819 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from viivlllvyil. Give prob of picking 1 y and 1 i.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 411521?\nAnswer: -411525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11849692?\nAnswer: 2, 19, 23, 6779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50959 and 1556?\nAnswer: 203836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of h**8\/4 - 5*h**4\/2 + 32*h. What is the third derivative of j(v) wrt v?\nAnswer: 1680*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 16*i**2\/7 + 380*i\/7 + 132 = 0.\nAnswer: -21, -11\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 4*q**2 + 4*q + 2. Let p be f(-5). Solve -3*y = 3*v + 2*y + p, -6 = v - 2*y for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -81 + 81. Solve g = p - 2*h - 7 - 3, -5*h = -4*p + 28 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {i: 7, s: 2}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -d8 (base 15) to base 5\nAnswer: -1303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -1567*c**2 + 21*c + 18. Let h(f) = -392*f**2 + 5*f + 4. Let i(x) = -9*h(x) + 2*l(x). Is 22 a factor of i(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/7 in -0.1, -16, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z**13\/z)*z*(z\/(z*z*z**(2\/13)))\/z*((z*z*z**1)\/z)**(-34) assuming z is positive.\nAnswer: z**(-1042\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -212*m - 64. Let j(k) = -636*k - 197. Let x(q) = 19*i(q) - 6*j(q). Is 9 a factor of x(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -7*s + 4*q - 16, -4*s - q - 35 = -21 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of o**3\/3 - 5*o**2 - 15*o + 59. Let u be c(12). Calculate the greatest common factor of 198 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -498 (base 11) to base 9.\nAnswer: -726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - d - 0*d + 33, -d + 5 = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1673785252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 - 3*b**2 + 3*b**2)*(17*b + 989 - 989) + 4*b + 3*b**3 - 4*b + (2 + 2 - 2)*(-2*b**3 + 2*b**3 - b**3) + b**3 + 2*b**3 - 2*b**3.\nAnswer: -32*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -3 - (-25 - (34 - 61)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = w - 14, -4*k + 0*w + w = -31. Suppose -2*u = -k + 1. Suppose 14 = 3*s + 5*j - j, 22 = 3*s - u*j. Solve -s = 3*f - 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3*s - 5)*(4 - 2*s - 20*s + 11*s).\nAnswer: 33*s**2 - 12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p**2 + 70*p + 150. What is the least common multiple of 21 and s(-2)?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37 + 30. Let f = 170 + -174. What is the third smallest value in y, 3\/5, f, 5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1475, -1473, -1471, -1469?\nAnswer: -1467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000264336 rounded to 6 decimal places?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1 + sqrt(832).\nAnswer: -2 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*w + 10 = 0, -3*z + 31 - 13 = -4*w. Solve -t - 3*q - 10 = -5*t, -9 = -5*t + z*q for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8463*w**2 + 146293*w?\nAnswer: -16926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40057 - 39931 = -18*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -49*n**2. Let g(u) = 7*u. Give g(j(k)).\nAnswer: -343*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(((-15753)\/1424)\/177)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46 + 45. Let m = j - -40. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, -2, 0.4, -2\/201 in decreasing order.\nAnswer: 0.4, 0.01, -2\/201, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f**6\/30 - f**5\/10 - f**4\/12 + f**3\/3 + 13*f. Find d, given that t(d) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 + 91 = -m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -197\/49760880 and 111\/7280.\nAnswer: 348326160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 448 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-3) - 478054\/(-3). Let h be 38054\/(1 + d\/(-15)). Let q = 2\/2213 - h. What is the common denominator of q and -73\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -126 + 131. Suppose 200 + 910 = -5*d - 2*u, -2*d - k*u = 423. Is -225 < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 22, 25, 30, 37, 46?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04273886 rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -702, -1406, -2110, -2814?\nAnswer: -3518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -546428, -2185764, -4918010, -8743172, -13661256, -19672268?\nAnswer: -26776214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/212316 and 35\/8.\nAnswer: 424632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -126762012905 and 0.39.\nAnswer: -126762012904.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 49826380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-552)\/104*(-130)\/30.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/5 + (-2835)\/(-675). Solve y - 19 = 3*l, 4*l - l = -d*y - 13 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114361, 226941, 339511, 452065, 564597?\nAnswer: 677101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.286, -0.042, -3246\/7?\nAnswer: -0.286","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + sqrt(72) + 1*sqrt(72) + (sqrt(8) - (sqrt(8) - (sqrt(800) + (sqrt(800) - -1*sqrt(800))))))\/((sqrt(144)*1 + sqrt(4))*4) + -5.\nAnswer: -5 + 39*sqrt(2)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76034?\nAnswer: 2, 7, 5431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) + 1*sqrt(21))*1 - sqrt(84)\/sqrt(100))\/(sqrt(12)\/(sqrt(4)*-3) + sqrt(6)\/sqrt(2)*-4) + 0.\nAnswer: -27*sqrt(7)\/65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 34 + -23 - (384 - -4). Which is bigger: -373 or b?\nAnswer: -373","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -140025015 + 1?\nAnswer: -140025014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/2156 and 3\/154?\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4*w - 31 = -7*y, -4 = w. Suppose 0*o = -y*o - 25. Let x be (11 + 0)*(o + 6). Solve -2*m - 2 = -0*b + 4*b, 0 = m - 3*b + x for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 12*t**2 - 3*t. Give u(2).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*x - 2. Suppose 2*v = 7 + 5. Let m = v + x. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 60*o - 6350. Let a be w(106). Solve -23 = v + 4*c, 7*v + 4*c + 27 = a*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5243 = 2*z, 0*w = -4*z + 4*w + 10496. Suppose -4*q - 2*v - 2618 = 0, -2*q + 6*q = -3*v - z. What is q rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, v: 1, o: 1, x: 1, h: 1}. What is prob of picking 1 e, 1 x, and 1 h?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 162*u**2 + u**3 - 92*u**2 - 39*u - 60 - 89*u**2. Let f be c(21). Solve -3 = -4*y + f*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3*c = 6. Suppose -j + c*j - 90 = 0. Is 16 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k + 639 + 2099 + 61 + 2357.\nAnswer: -k + 5156","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 34 = 3*l, -5*l + 37 = 2*d - 1. Calculate the greatest common factor of d and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*k**2 + 22*k + 1703 wrt k.\nAnswer: 4*k + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-8))\/(1\/6)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of i**2\/2 - 69*i. Let t(h) = h + 5. Let m(u) = 0*u**2 - u**2 - 8 + u**3 - 2. Let b be m(0). Determine b*w(v) + 2*t(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4)*(-2 - 3*x + 0 + x)*(-2 - 3 + 1 + (4 - 8 - 2)*(-1 + 2 + 0)).\nAnswer: -20*x - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(3\/2)*b)\/b)\/(b*b\/b**(-2\/11)) assuming b is positive.\nAnswer: b**(-15\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -94, -12, 4, -1\/257.\nAnswer: -94, -12, -1\/257, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1764438953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 16 + 4)*(3 - 2*m - 3)*(1 - 2 - 2)*(10*m**4 + m**4 - 5*m**4).\nAnswer: -756*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -11*t - 4. Determine s(-3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -709 + 1071. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43674 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -f**4\/4 + 5*f**3\/3 + f**2\/2 - 4*f + 1. List the prime factors of q(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 9*a. Let m = 15 - 20. Let g(f) = -13*f. Let u(p) = m*g(p) - 8*n(p). Let l(t) = t. Give l(u(i)).\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 17, -22 in decreasing order.\nAnswer: 17, 1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 + -35. Which is the biggest value? (a) i (b) 0.3 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/40 of a kilometer?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3382196?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -b + 45, -285*z + 282*z = -2*b + 45 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -405*d**5 + 1789470*d**4 + 22519375*d**3 + 54330280*d**2 - 27561540*d + 3190320 = 0.\nAnswer: -9, -4, 2\/9, 4431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, d: 1, q: 1, b: 1, g: 9, c: 2}. What is prob of sequence dq?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 6*p**2 + 2*p + 1. Let d(g) = 11*g**2 + 4*g - 2428. What is -d(b) + 2*s(b)?\nAnswer: b**2 + 2430","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 9 + 1. Let k = h + 126. Suppose -k = -2*q + 5*l, 5*l = 2*q + 2*q - 237. List the prime factors of q.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 6 - 3. Let b be (-399)\/(-147) - 2\/(-7). Suppose -n = -b*l + 72. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1309\/103 or 13?\nAnswer: 1309\/103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -6. Let c be (-62)\/(-341) + 2\/(-11). Suppose l*v + 4*b = 136, 4*b = 8 - c. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 220*w**2. Let h(x) = -85*x**2 + 2. What is h(k(z))?\nAnswer: -4114000*z**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8918, -9024, -9130, -9236?\nAnswer: -9342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*l - n + 24, 4*l + 3*n = -7. What is the units digit of ((-16)\/6)\/(l\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence si when two letters picked without replacement from {s: 4, q: 3, v: 2, i: 2}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06206444496 rounded to four dps?\nAnswer: -0.0621","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c - 1893 = 1227. Suppose -96*u + 99*u = c. Calculate the remainder when u is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m*m*m**(-1\/4))*m))\/m*m*m**(4\/7))\/(m\/(m**(-1\/27)\/m*m)*m**(-1\/11)) assuming m is positive.\nAnswer: m**(3121\/8316)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -156 + 158. Suppose 5*z - 333 - 2697 = -3*y, -3*z - o*y = -1817. What are the prime factors of z?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zvpbxbvzvpzzvzvzvv. Give prob of picking 1 x and 1 z.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44 - -65. Let t = -62 + b. Suppose -5*l = y + y - 49, -5*l - y = -t. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -17240589 and 838793.2.\nAnswer: -16401795.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/110 and 9\/370360.\nAnswer: 4073960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1 + (39\/10 - -1) and (-14)\/(-5)*(-55)\/(-24).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30\/131 + 8575\/262. Sort 7, o, -3 in descending order.\nAnswer: o, 7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/11 at least as big as -738\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12475100?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -69 - -68.885. Let p = q + 6.815. Let i = p - 15. What is i rounded to zero dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332 is divided by 202?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15348 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*l**4 + 50*l**2 - 1 + 28*l**2 - 69*l**2)*(3 - 2 + 2) as k*l + z*l**2 + u*l**4 + a + v*l**3 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**(-1\/5))*d)\/(d**1*d))\/(d**(-3)*d\/(d\/d**(-4)*d)) assuming d is positive.\nAnswer: d**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100012 (base 3) to base 14.\nAnswer: 13a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 7*b**3 - 4. Let m(o) = o**3 + 1. Let r = -19 + 17. Suppose -1 + 0 = -w. Let c(x) = r*m(x) + w*p(x). Find the first derivative of c(k) wrt k.\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 6*o - 8. Suppose 0 = a + o*a - 80. Let n(x) = x**3 - 21*x**2 + 21*x - 18. Calculate the smallest common multiple of 5 and n(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*q**2 + 112*q**2 - 200*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11646227.\nAnswer: 11646227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7370, 29365, 65986, 117239, 183130, 263665, 358850?\n\"Answer: p**3 + 7307*p**2 + 67*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 1666*r - 1632. Calculate b(1).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -76*w**2 + 11*w - 3. Determine k(-3).\nAnswer: -720","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -123\/31 >= -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7530.8634 microseconds?\nAnswer: 0.0000020919065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 271\/129 - (8 - 391\/69).\nAnswer: -10\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -3*m + 21, -5*h - 8 = 2*m - h for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15271\/11476 + 9\/604. Find the common denominator of i and -39\/16.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14 - (15 - 30\/5). Suppose 152 = 3*y + x*i - 558, -y = -3*i - 260. Calculate the remainder when y is divided by 72.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9924, -7, 13, 2\/19 in decreasing order.\nAnswer: 13, 2\/19, -7, -9924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**5\/3 - 22*n**4\/3 - 26*n**3 - 82*n**2\/3 - 28*n\/3 = 0?\nAnswer: -1, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 5*i**2 + 1009*i + 783. What is o(-200)?\nAnswer: -1017","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -63, -122, -227, -390, -623, -938, -1347?\nAnswer: -1862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5440284 and 2808.\nAnswer: 141447384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 15012 = -u. Let b = -451 - u. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108\/(-54) - (-48)\/25\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 + 44*i - 147. Let f be y(-25). What is the greatest common divisor of 108 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 6 = -2*c. Solve -2*q = c - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-408)\/(-16) - -3)\/((-2)\/(-4)). Solve 0 = 12*z - u + 9 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-5))\/((-33)\/(-15)). Let z = -110 - -106. What is the closest to 0.05 in 0.4, p, z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*1\/(1\/(-6)). Let q = t + -2. Solve 2*n - q*n - 4 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -253 - 5618?\nAnswer: -5871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -68*s - 65*s**2 - 82*s - 69*s + 202*s + 14. Let k(i) = 22*i**2 + 6*i - 5. Give 17*k(p) + 6*o(p).\nAnswer: -16*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 81600 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of 0*v - 1\/8*v**6 + 0*v**4 + 0 + 1\/6*v**5 + 0*v**3 - 23*v**2. Find d such that i(d) = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/719977 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**3 - 36*x**2 - 98*x - 86. What is i(-15)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k - 3. Let j be l(-6). Suppose -4*i - 4*o + 34 - 2 = 0, 3*o - j = 0. List the prime factors of (6\/i)\/((-2)\/(-35)).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 6*z**2 - 2*z - 4. Let x = 9 - 14. Let m = 0 - x. Let c be q(m). Solve -5*g - v = 39 - c, -4*v + 13 = -5*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*v = 25 - 53 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/10 + 168\/20. Suppose 3*p + 4*f = -p + s, 2*p + 3*f + 1 = 0. Let y = -3 + 5. Solve 0 = 2*z - 0*z + 3*r + 23, -3*r = -y*z + p for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/10*(-1)\/((-16)\/(-10)). Let y = 6.894 - -0.256. Let j = -0.15 + y. What is the third smallest value in 4\/7, p, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/2615485 or -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z - 1. Let s(d) = 12*d - 7*d - 9*d - 2. Let x(y) = y**3 + 4*y**2 - 3*y + 7. Let m be x(-5). What is m*s(v) + 5*a(v)?\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*r + 2*w, 2*r + 2*w = 3*w + 11. Suppose 4*k = r*j - k - 11, 2*k + 24 = 4*j. Suppose 9*i = j*i + 84. List the prime factors of i.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 64 - 33 - 3732*a - 31 in the form d + f*a and give f.\nAnswer: -3732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -144\/5544899 or -1?\nAnswer: -144\/5544899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48 (base 11) to base 16.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 18 = -5*m, -g + 6 = 4*g - m. Suppose 5*c = -4*n + 48, -2*n + g = -c + 6. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -j**7\/42 + j**5\/20 + 4*j**2 + 3. Let u(t) be the second derivative of f(t). What is the third derivative of u(l) wrt l?\nAnswer: -120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 3*n - 16591, -2*d + 2*n + 5881 + 749 = 0. Does 107 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j\/(j\/(j\/(j*j\/(j**17*j)))))*j)\/j*j*j**(2\/35)\/j)**(-5) assuming j is positive.\nAnswer: j**(523\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1 + ((sqrt(475)*-1)**2 - sqrt(475)) + sqrt(475) + 1 + (sqrt(475) - (sqrt(475)*2 + sqrt(475) + 4)**2) + -1.\nAnswer: -3820 - 115*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76 + -38. Let v be -1 + -1 + (7 - 2). Suppose 0 = -v*m + 2*m + 95. What is the greatest common divisor of g and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 36 = -2*g, 3*g - 4*n + 6 = 14. Is (-1)\/g + 4196\/32 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3*z = 8*j - 9, 4*j = 3*z + 19. Solve -j*p + 3*p - o = -3, 5 = 3*p + 5*o for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a microsecond in nanoseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1433\/4 + 379. Calculate the common denominator of 83\/18 and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v - 1273 = -2*l - 1269, -44 = 2*v - 5*l for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13354813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3384887.\nAnswer: 11, 17, 23, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(243))*5 - -6*(sqrt(243) + -1))**2*2.\nAnswer: -4356*sqrt(3) + 59048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1031 take away 4382?\nAnswer: -4382.1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t + 2. Let j(m) be the third derivative of 0 + 0*m + 10*m**2 + 2\/3*m**3 + 1\/8*m**4. Determine -5*a(u) + 2*j(u).\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 377 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -5.99. Let f = y - -0.04. Let d = 0.07 + f. What is the nearest to d in 2, -2\/9, -1\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/57*(4 - 1). Let p be (-3)\/4 - 15\/(-20). Which is greater: p or h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1924291 greater than or equal to 1924490?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*d**5\/19 - 5512*d**4\/19 - 40182*d**3\/19 - 99892*d**2\/19 - 96432*d\/19 - 31360\/19 = 0 for d.\nAnswer: -28, -5, -2, -1, -56\/75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -34? (a) -3 (b) -5 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cczzkkkyk. Give 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 the third derivative of 16*g*n*q**3*r + 3*g*n*q**2*r**2 + 5246*g*q**2*r**2 + 2*g*q*r + 5*g*r**2 + 2757*n*q**3*r**2 wrt q?\nAnswer: 96*g*n*r + 16542*n*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11598 + -11598. Let w(n) be the third derivative of k*n**5 + 3\/490*n**7 + 26*n**2 + 0 - 1\/196*n**8 + 0*n**4 + 0*n**3 + 0*n + 1\/280*n**6. Factor w(g).\nAnswer: -3*g**3*(g - 1)*(4*g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 74.51, 2\/19391, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26067334?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168) - (sqrt(168) - (sqrt(168) + 6*-2*sqrt(168))))\/(sqrt(24)\/sqrt(4)*-6))\/(((2*sqrt(180))\/sqrt(9))\/(sqrt(360)\/sqrt(8) + sqrt(5))).\nAnswer: 11*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -6*m - 2. Suppose 9 + 0 = -3*k. Let c(n) be the third derivative of -5*n**4\/24 - n**3\/3 - 63*n**2. What is k*c(o) + 2*f(o)?\nAnswer: 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -780*t**2 - 578*t**2 - 175*t**2.\nAnswer: -1533*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 125611518*z**3 + 78451*z**2 + 17*z - 5 wrt z.\nAnswer: 753669108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -55, 74, 25 in decreasing order.\nAnswer: 74, 25, 5, 4, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 1 + -11 + -6 + 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, -6, -77, -242, -537?\nAnswer: -998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 3:05 PM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 76 - 3?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-1) - (0 - -8). Let j be 114\/h - 8\/(-28). Let s = j + 27. 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: Expand (h - 3 + 3)*(-h + 3*h - 4*h) + 0*h**2 - 4*h**2 + 3*h**2 + 0*h**2 - 2*h**2 - 5*h**2 + h**2 - 44*h + 43*h - 2*h**2.\nAnswer: -11*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vyr when three letters picked without replacement from yyrvsssssyy.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3924 is divided by 979?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -48 + 199 + -58 + -46\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 5*z - 32. Let j be z\/40 + (-16)\/5. Which is the smallest value? (a) j (b) 3\/8 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/54*4482\/1245.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*1483\/8 - 15\/120. Suppose 4*h = -5*y + d, 2*y - y = 5*h - 666. Calculate the greatest common divisor of 67 and h.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -349 - -353. Solve 5*m = -r*m + 9 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 8*g - 5*g - 8 + 2*g - 4*g. Let q be v(13). Sort 0.4, q, -1 in ascending order.\nAnswer: -1, 0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1071\/36)\/17*-4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5660623, -22642487, -50945595, -90569947?\n\"Answer: -5660622*w**2 + 2*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2 + 30*u - 21. Calculate r(-19).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 + 1105811*x - 3317442.\nAnswer: (x - 3)*(x + 1105814)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -322197*v**3 - 82*v**2 + 354*v - 266137.\nAnswer: -1933182*v - 164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*f - 2*f. Suppose 3*g - 2*o + 9 = 2*g, -18 = f*g - 3*o. Is 3\/g + (-308)\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -111681*g + 111677*g + 3*y + 9, -24*y = -5*g + 72 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 394569 divided by -488.\nAnswer: -394569\/488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 4:40 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l = 11*l - 48. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76200886?\nAnswer: 2, 23, 1656541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*u + 1 - 4 + 3*u - 3*u - 2*u + (-4 - 1 + 4)*(0*u + 0*u + u) - u - u + u + 1 - 2*u - 1 + u - 1 + 1 - u + 0*u - u - 3 + 3 - 2*u.\nAnswer: -11*u - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2909 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 26?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -183761 + 268304. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12955459.\nAnswer: 11, 1177769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -43db (base 14) to base 8\nAnswer: -26755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/8 in -84.6, 1\/7, -0.5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-19)\/(1*1\/(-1)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 14 = 3*q. Suppose 0*j - 77 = -j. What is the greatest common factor of q and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 14 in increasing order.\nAnswer: -5, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 221027?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -3*p**5\/20 + 3*p**2. Let m(h) be the third derivative of -6*h**2 + 1\/30*h**5 + 0*h**4 + 0*h + 0 + 0*h**3. What is m(z(s))?\nAnswer: 162*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 263, 374, 735, 1490, 2783, 4758, 7559, 11330?\nAnswer: 16215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 266, -4, 3 in increasing order.\nAnswer: -4, -4\/7, 3, 266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-5*(sqrt(1584) + sqrt(1584) + sqrt(1584) + -2 + sqrt(1584) + -1) + -3)*-1*3)**2.\nAnswer: -103680*sqrt(11) + 11407392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ut when two letters picked without replacement from {q: 1, j: 1, i: 1, u: 2, t: 1, d: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3*g = -0 - 6, 5*s = -4*g + 10. Suppose 0 = -5*y + s + 13. Solve -y*v = 1 + 5 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89399*k - 95617*k - 659108 = 0 for k.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 3 = 5*b, 196*v + 5*b = 197*v - 18 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 minus 15.7?\nAnswer: -16.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 19*c + 168. Let s be n(-10). Calculate the highest common factor of 24 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3 = 2. Let t(v) = 8*v - 3. Let z be t(x). Suppose z*a - 520 = 30. What are the prime factors of a?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -40*a. Let k(z) be the first derivative of -z**3\/3 - 135. Calculate f(k(y)).\nAnswer: 40*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 3 (c) -3\/41 (d) 0.2 (e) 0.7 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 924 and 26396538?\nAnswer: 580723836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -309*g - 3485359 - 52661795 = 0. What is g rounded to the nearest one thousand?\nAnswer: -182000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**3 - 7*f**2 + 2*f - 19. Suppose v - 5*p = -8, 0 = -8*v + 3*v - 5*p - 40. Is t(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*j*x + j + 699*x - 2 wrt j.\nAnswer: 4*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.73 times 161?\nAnswer: -117.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 + -12015?\nAnswer: -12033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 3*j - 9, 3*j + 6 + 3 = 0. Let o be (c - 1 - 2)*-1. Solve o*p - 2*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -19*k**4\/4 - 3*k - 76. Let o(b) be the first derivative of x(b). Let r(y) = -3*y. Determine r(o(s)).\nAnswer: 171*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67 - 34762*r + 69465*r - 34681*r.\nAnswer: 22*r - 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*w - 28 = -5*t, 4*t - 4*w - 8 = 0. Let o(u) = -14 + 0*u + t*u + 17. Give o(-5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 264360 and 6.\nAnswer: 264360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 11 - 14 = 0. Solve -a = 2*h - h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 2. Let u(b) = b**2 + 4*b + 3. Let j be u(-3). Let i be g(j). Suppose 25 = i*n + 13. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 + 3*a + 1. Let o be k(-1). Suppose -4*u + 705 - 225 = o. Suppose 115*s = u*s - 350. Is s a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*m + 524 = -363*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**5 + 4*q**5 - q**5 + (4*q**4 - 3*q**4 - 4*q**4)*(q + q + 0*q) - 15*q**2 + 15*q**2 + 38*q**5.\nAnswer: 33*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -659 + 626 - (-7 - (-2 - -2 - 1))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18039 (base 11) in base 5?\nAnswer: -1302311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 180, 397, 702, 1095?\nAnswer: 1576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 12756*n - 3 + 4*n**2 - 1 + 6.\nAnswer: 4*n**2 - 12756*n + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 2:23 AM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3889*i + 46683. What is b(12)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 350 and 34890?\nAnswer: 1221150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s + 571 - 571. Let k(z) = 12*z + 11*z + 2*z + 6*z. Calculate j(k(x)).\nAnswer: -62*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 6\/673, -18, 0.2, -0.3 in increasing order.\nAnswer: -18, -3\/4, -0.3, 6\/673, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does -51 = -0.017843?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 6:18 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 287406 and 124.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) + 5*(1 + sqrt(891)))*-4)**2.\nAnswer: 8640*sqrt(11) + 513616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 184756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 7:37 AM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -6*h**2 + 3 + h**2 - 3. Let a(w) = -6*w**2 - 6*w - 78. Let l(n) = -5*n**2 - 7*n - 91. Let q(i) = 7*a(i) - 6*l(i). What is q(m(v))?\nAnswer: -300*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 250.79970445 - 250.8. Round k to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 6:55 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**2. Let o(j) = 2*j. Let q be o(1). Let l(g) = 3*g**2 - g**2 + 4*g**2 - 2*g**q. What is v(l(c))?\nAnswer: -32*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/7, -1\/6, -0.1, 11.6, -0.2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4 = -5*n, 3*g + 4*n = 5 + 3. Let d be 8\/(-3)*2\/g. Let x be (-8125)\/(-23400) - (-1 - 2)\/(54\/(-4)). Which is greater: x or d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, -379, -10, 9 in decreasing order.\nAnswer: 41, 9, -10, -379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (153\/510)\/(12\/(-10)). Put u, -29\/6, 0.2, 3 in decreasing order.\nAnswer: 3, 0.2, u, -29\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**4\/7 + 870*s**3\/7 + 131268*s**2\/7 + 7957760*s\/7 + 23654400 = 0.\nAnswer: -160, -66, -49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 9*z - 7. Let y(a) = a. Let b be y(6). Let x be o(b). Suppose -1 = j, 4*t - 2*j - j = x. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -63, 0.4, -2\/7, 0.2, -7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -42 (b) 0.1 (c) -4 (d) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8, 18, 28?\n\"Answer: 10*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - (-1 + 4))*-1 + -1. Suppose -13*f + 56825 - 7425 = q. What is f rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2720 - -2718. Sort t, 2.9, -38 in decreasing order.\nAnswer: 2.9, t, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 566559 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3 = -1. Which is smaller: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7865, -7870, -7877, -7886, -7897, -7910, -7925?\n\"Answer: -i**2 - 2*i - 7862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 65 * -2614.54\nAnswer: -169945.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 7*p. Let x(i) = -45*i - 58. Let y(r) = -29*r - 57. Let s(j) = -2*x(j) + 3*y(j). Calculate s(g(c)).\nAnswer: 21*c - 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 8*t**4 - 6*t**3 + 7*t**2 + 7. Let z(w) = -w**4 + w**3 - w**2 - 1. Let m(i) = -5*n(i) - 35*z(i). Find u such that m(u) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4514504, -9029139, -13543774?\n\"Answer: -4514635*f + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46821223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3271?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 557*m**2 + 9228*m + 25883. Give k(-540).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 220\/728*(-1 + 4 - 5) and -7\/2?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -75 - -72.4. Let u = -1.4 + -1. Let l = u - y. What is the nearest to -1 in 0.1, l, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8 + 0.92. Let n = 65.32 + -63. Let i = g - n. Round i to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/23? (a) -1 (b) 5\/4 (c) 2\/23 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 645 = -5*f - 4*c, -5*f = c + 625. Let k(x) = 5*x**2 + 73*x - 42. Let l be k(-15). Find the common denominator of 149\/12 and (-3 - f\/(-36))*9\/l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 7:12 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}