{"text":"Question: Simplify ((-5*(-1*sqrt(264) - sqrt(264)))\/(sqrt(176)*-6))\/(sqrt(972) + (sqrt(972) + sqrt(972) + 2*sqrt(972))*4 - sqrt(972) - 2*sqrt(972)*-1).\nAnswer: -5*sqrt(2)\/1944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 2*g**2 - 96*g + 69. Let r be a(0). Solve -11*p = r - 25 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -3*y + 2*h, 4*y = -0*y + 4*h + 8. Factor 3*m**4 - 6*m**3 - 3*m**3 + 4*m**y - 3*m**2 + 2*m**3 + 3*m**5.\nAnswer: 3*m**2*(m - 1)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -13.46336 to zero decimal places.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zk when two letters picked without replacement from izzzziikzkik.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(68) + 3 + sqrt(17))*-6.\nAnswer: -18*sqrt(17) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/20*34 - 4\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1167125 to the nearest integer?\nAnswer: 1080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 11*g**2 + 2*g - 30. Let t(d) = -8*d**2 - d + 30. Give -4*t(w) - 3*x(w).\nAnswer: -w**2 - 2*w - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 156*(12\/8 + -1) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -10.9 + 11. Let p = o + -5.1. Which is smaller: 3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -650467 and 4.\nAnswer: -2601868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = 2*q - 129 + 126, -q + 12 = 3*o. Solve -3*y = 4*n + 17, -n = -y + 2 - q for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = 113 + 9. Let o = 103 - d. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 3*z. Let q be ((-21)\/(-84))\/((-2)\/(-8)). What is o(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -23 divided by 1063398\nAnswer: -23\/1063398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -877*x + 18422. What is n(21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 4, y: 1, d: 2, k: 4, a: 1, n: 7}. Give prob of sequence nny.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*a**2 - 113145*a + 18532800.\nAnswer: 5*(a - 22464)*(a - 165)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 2324*w - 789. Let q(p) = -9295*p + 3155. Let m(f) = -2*q(f) - 9*r(f). Find the first derivative of m(x) wrt x.\nAnswer: -2326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -131*n**3 - 3*n**2 - 5*n + 9. Is o(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000008412255471 rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 917 = y + 5*j, 463 = y - j. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/21  (b) -54  (c) -5  (d) 3  (e) -0.0322  (f) 1\/2  (g) -2\/7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 19592 times -1196?\nAnswer: -23432032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = -j + 5*t + 172, -2*j + 100 = t. Let w = -54 + j. Is ((-2)\/w)\/(2*5\/6690) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1207448 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*j + 4*j - 2*j)*(2167*j - 3364*j + 2373*j).\nAnswer: -1176*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:15 PM and 6:15 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y**2 - 18*y + 1. Calculate the remainder when k(-8) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1208\/63 + -170\/9. Suppose -4*n = -c, 0 = -4*c + 6*n - n. Do c and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 73211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 170 minutes after 10:57 AM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -42 + 42 - 4*n**2 + (4 + 1 - 3)*(-4*n + 2*n**2 + 4*n) - n**2 + 0 + 0 + (-5*n + 5*n + n)*(4*n + 2*n - 4*n) - 92*n**2 + 47*n**2 + 78*n**2.\nAnswer: 34*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-36*g + 35*g + 4 - 1 + g**4)*(-2*g + g + 2*g).\nAnswer: g**5 - g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 11, -58, -173, -334, -541, -794?\n\"Answer: -23*v**2 + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 6\/5*(-10)\/4. Let t be (-2 - v) + -1 + 0. Solve t*a - 1 = -a - m, 4*a = -2*m for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-4)\/(-126))\/((-160)\/(-180)))\/(147\/98).\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -45795, -183182, -412159, -732726, -1144883, -1648630?\nAnswer: -2243967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -57\/357500 and -89\/312840.\nAnswer: 508365000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 472, 485, 498, 511, 524, 537?\nAnswer: 550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -8?  (a) -476  (b) -3\/5  (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 115 + -103. Solve -2*k + 5*q = -0*q + 9, -q + n = 3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -11*d - 238 + 62 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 3*j + 4. Suppose 5*h - 4*h = 6. Let z(y) = 4*y + 5. Let n(w) = h*o(w) - 4*z(w). What is n(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*b**4 + b**5 + 0*b**4)*(-2 + 1 - 1) + (-5 + 5 + 4*b**4)*(2*b + 0 + 0).\nAnswer: 6*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 2 p when three letters picked without replacement from pzaapzpppyzpzzyay.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 6935207 rounded to the nearest one hundred thousand?\nAnswer: 6900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 439 minutes after 10:14 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 15666, 15652, 15638, 15624, 15610, 15596?\nAnswer: 15582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**(1\/4)*d**(-1\/2))**(-28) assuming d is positive.\nAnswer: d**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bv when two letters picked without replacement from {v: 2, q: 2, x: 3, r: 4, b: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(3*(-1 + ((sqrt(200) + 1 - sqrt(200))*3 - -3*-1*sqrt(200))) + -4).\nAnswer: -12 + 540*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -3*u - 1 + 0*u + 2*u. Suppose -3*t = -2 + 20. Calculate i(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-3\/7)\/(d\/(d**(-4\/3)*d)))\/(d**1*d\/(d\/(d\/d**(2\/11)*d)))*((d\/d**0)**(1\/3))**(8\/11) assuming d is positive.\nAnswer: d**(-334\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.6 > -7688?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 357 is divided by 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*a - 5*c - 20573, 2*a + 2*c + 15428 = -a. Let l = a + 77176\/15. Find the common denominator of l and -62\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = l**2 + 3*l + 10. Let o(s) = -s + 5. Let q be o(5). Let r be t(q). Find the first derivative of 11 - 6*z**4 + r - 26 wrt z.\nAnswer: -24*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 9.16744 litres?\nAnswer: 9167.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 305 = -8*r + 4*r + g, -80 = r + g. Let w = 126 - r. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.2 from -12017192.\nAnswer: -12017192.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 402034279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -2 - (-3 + 3 + -14 + 4). Suppose -3*c = -5*j - 6, 5*j + c - k = -6. Solve 4*n - 4 = -j*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -10\/1230207 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-eight fifths of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 24 = 4*x. Let y = 15 + x. Let v(j) = -4*j - j - j**3 + 5*j**2 - 1 - 2*j**2 + j. Give v(y).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 648136 - 443015. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1904 or -822?\nAnswer: -822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -g**3 + 6*g**2 - 10*g + 12. What is x(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 419697745?\nAnswer: 5, 19, 89, 49639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*r**2 + r**2 - 10*r**2 - r**2.\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 40.17 - -0.83. Let c = j + -40.66. Let a = -0.339935 + c. What is a rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -89 - -78.5. Let s = m - -8.5. Sort s, 10, 0.3 in descending order.\nAnswer: 10, 0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 10 - 9.5. Which is the closest to 0?  (a) 5  (b) -0.2  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: d78 (base 15) to base 5\nAnswer: 44123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000682992 rounded to 7 dps?\nAnswer: 0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:10 PM and 11:10 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-680)\/(-22848)*-42)\/(-1*5).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 8*y**2 - 7*y - 1. Let q(f) = f. Determine 6*q(n) + w(n).\nAnswer: 8*n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 87\/5 of a litre in millilitres?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(1\/8)*m\/(m*(m**(-4\/7)*m)\/m) assuming m is positive.\nAnswer: m**(39\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = 47 + 9. Let o be (-5 + 3)\/(-2) - l. Suppose -3*w = -o - 10. Is w a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5568 = -45*l + 29*l. What is the greatest common factor of l and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6442584?\nAnswer: 2, 3, 331, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -i - 0 - 4. Let f(x) = x**3 + 5*x**2 + 5. Does 11 divide f(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -671 or -8035\/12?\nAnswer: -8035\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -3328*l - 14. Let r(b) = -1111*b - 5. Calculate 8*r(j) - 3*z(j).\nAnswer: 1096*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 339 is divided by 183?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 4\/65  (b) -45978  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8*(-4)\/80)\/(336\/120).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -16097005*i**3*q**2 + i**3*q + i**3 - 1465328*i*q**2 - 91*i wrt i?\nAnswer: -96582030*i*q**2 + 6*i*q + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*w + 2 = 8, 18 = 248*q - 253*q - 7*w for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -55, 3, -4, 1 in increasing order.\nAnswer: -55, -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24 + -11 + -4 - 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10000110110101010100010 (base 2) to base 5.\nAnswer: -2112340320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 3*n - 8 = -17, -5*s = n - 59. Solve 2 = 2*w + 2*o - 5*o, -s = -4*w + 2*o for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -809*y + 81590 - 19090 = -4647 for y.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 12967 - 7770. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*q + 5*q + 8*q.\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 617458*m**5*q + 2*m**4*q**2 - 90588*m**2*q**2 - 13*m**2*q wrt m.\nAnswer: 37047480*m**2*q + 48*m*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-43905)\/(-40)*(18 + -10)?\nAnswer: 3, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f and 1 q when three letters picked without replacement from {q: 4, v: 1, f: 6}.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 3423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f - 4*f = 36. Let t = -10 - f. Let r be t\/(-2) + 1\/2. Solve 0 = h + r + 3 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -5*m**3 - 2*m - 54. Let c(n) = -n**3. What is 6*c(d) - i(d)?\nAnswer: -d**3 + 2*d + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(2 + ((sqrt(56) + 2*sqrt(56))\/sqrt(7))\/(-3*sqrt(16)\/sqrt(4))).\nAnswer: -6*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -15251 (base 8) to base 3\nAnswer: -100100210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3)\/3 - -2 - -2. Suppose 33 = -2*l + k. Let c be (-3)\/(3 - (-54)\/l). Solve c*z + 8 = z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 221*l - 347*l - 3530 - 1888 for l.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 38 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 100 + (34 - 96) - 118\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -3*i - 1. Let a be (i\/(-6))\/((-4)\/6). What is the third derivative of -d**2 + 2*d - a*d + 2*d**6 wrt d?\nAnswer: 240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 8 + 6 = s, 0 = -5*s + 2*r + 38. Let b = 12 - s. Let y(c) = -2*c - c - b + 2*c**2 + 3 + c**3. Give y(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 2*z**3 - z**2 + z + 0*z**2 - 2 + 0 + z. What is the remainder when 2*(-1 + 21)*1 is divided by g(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 152 divide 3957266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00295446056 rounded to 5 decimal places?\nAnswer: -0.00295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 31927 = 4*x + 15696, -g + 2*x + 9521 = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 21\/8 of a millimeter?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 7803.7 and -0.7?\nAnswer: -5462.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a gram in milligrams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 22 in 3, -20, 22, -1\/3, -2, -0.26?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 59, 6, 0.4 in ascending order.\nAnswer: 0.4, 6, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -2 + (-13 - (4 + -14))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/5 in -0.582, 94\/7, 3, -2\/9?\nAnswer: -0.582","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -48*b**2 + 1. Let y be s(-2). Find the common denominator of 15\/(-24) - (-1)\/(-4) and (-6)\/15 + y\/(-15).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 * -5147\nAnswer: 514.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x + 0*x + 0*x - 938*x**3 + 4 + 2*x**2. Suppose -3*w = -18 + 6. Let y be q(w). What is y rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**2\/6 + 518*n\/3 + 1039\/2.\nAnswer: -(n - 1039)*(n + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.145649 - -694.455649. What is q rounded to zero decimal places?\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 9*v**5 - 4*v**5 + 2*v**5 + (2*v + 2 - 2)*(2*v**4 - v**4 + v**4).\nAnswer: 11*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2274363?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 83 + 16 - 52 - (34 + -23).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4057 is divided by 340.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -197397*n**5 - 141618*n.\nAnswer: -3947940*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 16*s. Let h(c) be the first derivative of c**2 - 164. Give h(j(p)).\nAnswer: 32*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*j + 2161 + 2363. What is the common denominator of 21\/32 and j\/4060 + (-2)\/5?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 351713 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9 or 3\/32?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rttglnl. Give prob of picking 1 t and 1 l.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 16) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by -9655.\nAnswer: 4\/9655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = 5 + 10. Solve -4*g = g - x for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -22124 (base 11) in base 6?\nAnswer: -404323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15655557?\nAnswer: 3, 5218519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6\/(-9) + (-28)\/(-6). Which is the third smallest value?  (a) l  (b) 2\/5  (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1\/1761 + 8221\/5283. Let g = h - 19\/18. What is the nearest to -1\/3 in g, -2, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/(-10) - (-24)\/(-5). Let c be (-2)\/(-56)*(-116)\/z. Let g = 7\/5 - c. What is the common denominator of g and 35\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 30\/9*-1*162\/135\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 405 - 265. Let o = 143.78 - v. Round o to 1 decimal place.\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -9 - -13. Let r(v) be the second derivative of v**3\/6 + 3*v**2 + 5*v. Let q be r(-6). Solve -24 = -z*m + 4*s, 4*m - 27 = -q*s + 5*s for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -194 times 0.1\nAnswer: -19.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - (0 - -2 - -1)) + (-5 - 0).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -83 + 89. Let d be -1 + -1 + 7 + -2. Suppose -d*b = -b - v. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-six fifths of a centimeter in micrometers?\nAnswer: 52000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c**2 - 5*c + 4. Let f be o(4). Suppose f = x + x, 0 = -3*h - 2*x + 6. Solve -h - 2 = -2*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 5*n + 57. Calculate x(-2).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 87942.7 litres to millilitres.\nAnswer: 87942700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 20 = -3*o. Suppose -o*v + v + 18318999 = 0. Let b = v - -5893667. What is b rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 27 - 19. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(1\/34)*c\/(c**(2\/5)\/c))\/((((c*c**(-22))\/c*c)\/c)\/c*(c\/c**(-32))\/c) assuming c is positive.\nAnswer: c**(-1253\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 + 14. Let k be (-9)\/r - (-687)\/(-12). Let t be (-9)\/(-6)*1*k. Round t to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange f**2 + 544*f**4 + 0*f - 3*f + 0*f**3 - 13*f**3 - 542*f**4 to r*f**3 + k*f**4 + n + d*f**2 + u*f and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 3\/4, 0, -69?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 62670 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.2, 0.24919, -0.1, 5?\nAnswer: 0.24919","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 10\/49 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 301\/(-2)*(-2)\/7. Let w = m - 18. Calculate the greatest common divisor of 575 and w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -a - n + 86, -2*n = 4*a - 4*n - 332. Suppose a = -5*r + r. What is the common denominator of 33\/22*(-100)\/r and 5\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 53 + -102. Let t = 17 - f. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 14304*c**2*d**3 + c**2*d**2*n**2 - 16*c**2*d**2*n - 280*c*d**3*n**2 + 301*c*d**2*n + 250*d wrt d.\nAnswer: 85824*c**2 - 1680*c*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 42551261, 85102521, 127653779, 170205035, 212756289, 255307541, 297858791?\n\"Answer: -p**2 + 42551263*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 23081 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-306)\/357)\/((2\/(-28))\/(-1))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -218 + 211. Which is the nearest to -1?  (a) o  (b) -2\/5  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = -r + 3. Let l be 0\/(6*r\/3). Suppose l = -x - 11 + 31. Calculate the remainder when x is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o = 4*q + 4, 4*q + o + 2*o - 1 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(-7))\/((-15)\/10*(-2808)\/(-2457))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 9*g + 28 = 0. Let y be (3*4 - 0) + -39 + 35. Let u be -8 + 0 - (-1)\/(2\/y). Which is the second biggest value?  (a) 0.1  (b) u  (c) g  (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(1\/4))**(1\/10)\/(r*r*r*r**(-2)\/r*r**(-3\/7)*r) assuming r is positive.\nAnswer: r**(-153\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d - 5 = -3*z, -244*z + d = -243*z - 3 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) -0.12  (b) -0.1  (c) -0.9  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1778, 5, 0.3, 9.02, 1\/2.\nAnswer: 0.3, 1\/2, 5, 9.02, 1778","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 27*o**5\/4 - 363*o**4 + 19359*o**3\/4 + 2187*o**2\/2.\nAnswer: 3*o**2*(o - 27)**2*(9*o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 3 m when four letters picked without replacement from ymymmy?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**2 - 9*d + 4. Calculate a(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -3*m**2. Let i(n) = -1709*n**2. Give i(j(c)).\nAnswer: -15381*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -23711.421 - -23723. Let m = 11.6 - o. What is the biggest value in m, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*j*z**6 - 2*j*z**4 - j*z**2 - j*z - 4*z wrt z?\nAnswer: -240*j*z**3 - 48*j*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -599*s**3 + 10*s**2 - 2*s. Let t(r) = -4194*r**3 + 75*r**2 - 15*r. Give 15*k(l) - 2*t(l).\nAnswer: -597*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-22 - -12 - 6) + 33 + -55?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -51126.5048 rounded to the nearest one hundred?\nAnswer: -51100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkykkcyis. What is prob of picking 1 i and 1 k?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 8400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.1, 1, -11\/7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 divided by -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -480*y - 9033. Give z(-19).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3749 - 3709. Solve -6*d - v = -64 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v**5 + 24*v**4 + 532*v**3 + 456*v**2 - 5328*v + 4320 = 0 for v.\nAnswer: -6, 1, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*p - 2 = -134. Let t = -25 - p. Let w be 2\/t*(-9)\/(-2). What is the third smallest value in 1\/7, w, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -273, -594, -975, -1422, -1941, -2538, -3219?\nAnswer: -3990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 383973 and 3507297?\nAnswer: 2577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 11 in -1\/4, -0.07, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x and 1 m when three letters picked without replacement from tmxmxmmxxmtxmxmmm?\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-60)\/27 + 4\/18. Is z < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 39*w**3 + 8*w**2 - 8. Let t(u) = 13*u**3 + 3*u**2 - 3. Calculate -3*s(k) + 8*t(k).\nAnswer: -13*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3\/(-3*(-2)\/4). Suppose -y*m - 60 = -5*m. Suppose -44*p + 81*p = 703. Which is smaller: m or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (((-81)\/4)\/3)\/(210\/(-91)) and -41\/64.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 69\/22 and -119\/344170.\nAnswer: 3785870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11100100001 + -1010?\nAnswer: -11100101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1135, -8723, -29305, -69373, -135419?\n\"Answer: -1082*v**3 - 5*v**2 + v - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 23422871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -26, 18, 78, 148, 222, 294, 358?\n\"Answer: -t**3 + 14*t**2 + 9*t - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 67721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve v - 2*n + 3 - 8 = 0, -2*n - 11 = 5*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 270 divide 1141883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3305 - -3357. Solve 4*v - 15 = g*a - 53*a, -4*a = 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 45129 and 84?\nAnswer: 180516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -2*(21\/2)\/(-7). Suppose f*l = l + 2*c + 958, 2*l + 3*c - 963 = 0. Round l to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2*1\/8*0*1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are 1\/3 and 44 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-132)\/121 + 84\/(-44). Which is the smallest value?  (a) o  (b) 91  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -39, 2, -1, -5 in ascending order.\nAnswer: -39, -5, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 16\/(-14)*(-6)\/(-24). Which is the closest to 0?  (a) -0.3  (b) 1\/8  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1113 + 1109 + 1102 - 37*g - 4430 + 1105.\nAnswer: -37*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*y + 4*y - 2*y)*(22066*y - 85682*y + 55757*y + 50003*y).\nAnswer: -84288*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -2*a + 6. Let g be i(-6). What is the highest common factor of g and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y + 6 = y + x, 5*y - 26 = -4*x. Suppose -26*l**3 + 19*l**2 - 24 - 71*l**y - 82*l**2 - 176*l = 0. What is l?\nAnswer: -3, -2, -2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 9193668*h**4 - 12169230?\nAnswer: 36774672*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 326.327676 to two decimal places.\nAnswer: 326.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/2, 1\/5, -22, 0.5 in descending order.\nAnswer: 0.5, 1\/5, -3\/2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -437184 divided by 198?\nAnswer: -2208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 36 + -56. Let i be -1 - 1462\/85 - -18. Which is the smallest value?  (a) i  (b) 3  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -44 - -32. Let h(i) = 3*i**2 - 4*i - 9. Is h(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -30, -17, -3, 2 in decreasing order.\nAnswer: 3, 2, -3, -17, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 491.2184626 rounded to one dp?\nAnswer: 491.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -1576*s - 3157. Let o be v(-2). Which is the closest to o?  (a) 2\/3  (b) -77  (c) 2  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -3*i**2. Let d(b) = 26*b**2 - 2*b - 2. Let c(f) = 52*f**2 - 5*f - 5. Let x(p) = -2*c(p) + 5*d(p). Determine t(x(g)).\nAnswer: -2028*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 5 = -5*t. Let u(p) = -p**2 - 3. Let h be u(0). Let x = h + 2. Sort t, x, 0 in descending order.\nAnswer: t, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 20703884?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23452?\nAnswer: 2, 11, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -16*f - 2. Suppose c - p = 7, -3*p = 23*c - 27*c + 23. What is k(c)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65*m + 336 = 79*m. Solve s + m = 7*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -48*j + 561. What is the hundreds digit of c(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 855232*a**2\/5 + 10558*a\/5 - 12\/5.\nAnswer: 2*(224*a + 3)*(1909*a - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4878 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = g**3 + 7*g**2 - 8*g - 5. Let q be n(-8). Let a be (-14)\/17 + 6 + q. Which is smaller: a or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-w - 2*w + 5*w)*(1 + 3 - 3) - 5*w + w + 5*w + 1 - 1 - w + w - 4 + 4 - 2*w - 4*w + 4*w + (-38 + 43 + 25)*(3 - 3 - w).\nAnswer: -29*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1115674959.\nAnswer: 3, 7, 179, 296801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -439 + 444. What is the third biggest value in 1\/4, 0.039, z?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -18822 equal to -18822?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, c: 4, x: 2, j: 1, k: 1}. Give prob of picking 1 k and 1 s.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 55709 and 986?\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -135 = -133*f - 2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -19 (base 11) in base 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1062883794 to the nearest integer?\nAnswer: 32602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.242 to two decimal places.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 134879219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 1. Let f(b) = 18*b - 19. Let z(u) = -14*u + 17. Let n(g) = 4*f(g) + 5*z(g). Calculate -6*h(l) + n(l).\nAnswer: 2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.3 and 23818?\nAnswer: 7145.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -247 or -251?\nAnswer: -251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -642*v - 5393 - 10657 for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -31 + 66 - 35 + m. Let j(d) = -2*d**2 - 7*d + 2. What is -j(s) - 6*n(s)?\nAnswer: 2*s**2 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -5354, -10753, -16130, -21473, -26770, -32009?\n\"Answer: 2*b**3 - b**2 - 5410*b + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (3\/(-36))\/(41\/123). Which is the third smallest value?  (a) r  (b) -4  (c) -2\/13  (d) 57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -40 - 32. What is h rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-18)\/4)\/((-35361)\/502912).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 61 - 51.6. Let f = 4.8 - b. Let a = f + 4.6. Are 0.38 and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -4*u + 6*u. Let c be (51\/u)\/(-6 + 5). Let r be c + 167 - (-3 + -1). Calculate the greatest common divisor of 14 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.06?  (a) -0.2  (b) 14  (c) -12  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 5, r: 1, w: 4}. What is prob of sequence frf?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -2\/13, -0.3, 0.63, 0, 8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 93 and 495.\nAnswer: 15345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2383 + -1387. Does 12 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 6*m**2 + 26*m**2 - 3 + 3*m + 49*m**4 + 0 + 74*m**3 - 2*m. Let p(g) = -98*g**4 - 147*g**3 - 64*g**2 - g + 7. Let z(b) = 3*p(b) + 7*s(b). Factor z(t).\nAnswer: t*(t + 1)*(7*t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) be the second derivative of y**4\/12 - 464*y + 6. Let z(h) = -2984*h**2. Determine c(z(t)).\nAnswer: 8904256*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -1, 2\/21, 47, 27?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 331 minutes before 10:50 PM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2*z - 1)*(4*z + 0*z - 2*z) + 526*z - 526*z + 35*z**2.\nAnswer: 31*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -56343.67634 to the nearest one hundred.\nAnswer: -56300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -p**2 - 52*p + 481. Let h be g(-60). Are 9.33 and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3\/5, 5, 2, -3.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 372781?\nAnswer: 163, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7)\/(-7)*-2 - (2 + -11)*1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -11 - -11.3. Let k be (-2)\/(-4) - (-11)\/(-10). Let y = 266\/195 - 2\/65. Which is the nearest to 0.1?  (a) y  (b) x  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9336523.\nAnswer: 7, 181, 7369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*u - 27*u - 5645 = 0. Suppose -3*d + 1147 = 2*j, 9*j = 7*j + 3*d + u. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, -443, 3, -4, -23, -2 in increasing order.\nAnswer: -443, -23, -11, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -12206990 to the nearest 100000.\nAnswer: -12200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 111220120100 (base 3) in base 15?\nAnswer: 561c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10624\/((-3104)\/(-97)))\/(-4).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1182 is divided by 212.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -485079 - -3873779\/8. Let j = y - -855. What is the common denominator of 19\/2 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1236375079062 + -32.\nAnswer: 1236375079030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (-10 - 7 + 1)*(2*z**2 - 3*z**2 + 79 - 54) as d*z + b + p*z**2 and give b.\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -15204 - -15254. Solve 0 = -66*o + z*o - 48 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7543.5 - -7544. Let n = -1.2 - -1.19. Let d = n + -3.99. Which is the closest to -1\/2?  (a) 0.4  (b) d  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 935856 by 1206.\nAnswer: 776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 428458601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -8433153 times 12?\nAnswer: -101197836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 2 = -8. Suppose 0*g = 2*g - k. Calculate the remainder when 9 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(187)*2*-2)\/(sqrt(11) + 4*sqrt(44) + sqrt(11) - sqrt(11)) + 2 + 3 + (sqrt(833)*2 + -1)**2 + 3.\nAnswer: -256*sqrt(17)\/9 + 3341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 2*f**2 + 86*f + 165. What is b(-18)?\nAnswer: -735","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 19 + -11. Let t = j + -5. Let f = -2.3 + t. What is f rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 39566?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 628*u**2 - 32*u + 376. What is the units digit of f(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 213082.569s in weeks?\nAnswer: 0.3523190625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*n, -2*i + n = -7*i + 10. Suppose -i*o + 3*o = 5. Factor 83*d**4 - 79*d**4 - d**5 - 3*d**o.\nAnswer: -4*d**4*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.2 and -13342014779.\nAnswer: -13342014778.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(117)\/(-5*(sqrt(9) + -2*sqrt(9))) - (sqrt(2548)*4)**2) + 5.\nAnswer: -40763 + sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c**(1\/2))\/c**(3\/2))\/((c**2*c)\/(c*c**2\/c)) assuming c is positive.\nAnswer: 1\/c","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2\/9*q**3 - 158\/9*q - 14 - 34\/9*q**2 = 0. What is q?\nAnswer: -9, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (24570\/14)\/(-39)*2\/(-9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -10 + 9.9. Let u be (2\/9)\/(-2 + 0). Sort 3, u, f in descending order.\nAnswer: 3, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 2, 4, -46, 0.5, -1?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 55859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 7636 divided by 92?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 9\/1 + 0\/(-8). Factor -2*c**2 - h*c**3 + c + 0*c + 10*c**3.\nAnswer: c*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3 + 5. Suppose -a = 4*a + 5*r - 455, -5*a - 3*r = -465. Suppose -2*n + a = g*n. Is 8 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 45606, 91280, 136954, 182628, 228302?\n\"Answer: 45674*l - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3173845 is divided by 6092?\nAnswer: 6005","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -205 or -212?\nAnswer: -212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-8)\/(-20) + (-132)\/(-45). Let k(t) = -6*t - 15. Let x be k(-6). Let a be ((-6)\/21)\/((-12)\/x). Put 2\/3, s, a in descending order.\nAnswer: s, 2\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -9*u + 6*u - 5*b, -2*b = -2*u. Find the first derivative of -1346*g**u + 30 + 1154*g**2 - 1 wrt g.\nAnswer: -384*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5984.0000003617 + -5984. Round k to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 33.2301 centuries to months.\nAnswer: 39876.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 13323702 a multiple of 174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - 5 - (-8 - -6) - 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*p + 11*p = -9*p + 352 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the third derivative of 1\/16*n**4 - 3*n + 1\/672*n**8 - 1\/60*n**6 + n**2 + 0*n**7 - 1\/6*n**3 + 0 + 1\/60*n**5. Factor k(g).\nAnswer: (g - 1)**3*(g + 1)*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7735333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.5 - 3.45587.\nAnswer: -3.95587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*i - 3*i = -5*b + 135, 0 = -5*i + 10. Suppose -b*t = 48 - 148. Sort t, -2\/3, -0.1, -2\/5 in descending order.\nAnswer: t, -0.1, -2\/5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 848 and 208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -22\/129 or -1?\nAnswer: -22\/129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -3*p**2 + 72. Let j be s(0). Calculate the remainder when 14 is divided by (48\/j)\/(2\/15).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/19 - (63974\/(-551) + 12). Calculate the highest common divisor of 1976 and g.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(-2*sqrt(136) + sqrt(136) + sqrt(136)) + sqrt(136) - (-6*-2*sqrt(136) + sqrt(136) - sqrt(136)))\/(sqrt(56)\/(sqrt(7) + (sqrt(7) - sqrt(847)*1))).\nAnswer: 99*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5230737 to the power of 1\/2, to the nearest integer?\nAnswer: 2287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5615219389 to the nearest integer?\nAnswer: 1777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 958667.2 centuries in months?\nAnswer: 1150400640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8 - -4. Let y = p + 8. Is -2\/7 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.9 + -78966909478?\nAnswer: -78966909479.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (3\/2)\/(24\/(-736)). Round w to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 311 - 224?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n**2 + 13*n - 5. What is r(-15)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2374\/(-3) - 4\/(-12). What is the common denominator of q\/(-70) - 1\/5 and -3\/7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*z + 11155 = 3339. What are the prime factors of z?\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) be the first derivative of -5*l**6\/6 + 108*l**5\/5 - 199*l**4 + 2114*l**3\/3 - 735*l**2\/2 - 686*l + 37. Factor w(g).\nAnswer: -(g - 7)**3*(g - 1)*(5*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -160852 and 2.962 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 269984 = -4*d, -5*p + 1349996 = -2*d + 3*d. Let n be ((-6)\/4)\/((-6)\/16). Suppose p = -x - n*x. What is x rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 3, y: 8, g: 3, f: 1, d: 3}. What is prob of sequence fd?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 411306065 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 3027008 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4346, 8729, 13112, 17495, 21878?\nAnswer: 26261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 2 - 1 - 2 - 4*m + 6*m. Let z(h) = -6*h - 10. Let g be z(-2). Let x(q) = -q + 2*q - g*q - q. What is k(x(s))?\nAnswer: -4*s - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d = -3*d + 24. Calculate the least common multiple of 2 and (6\/d)\/(6\/72).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) be the first derivative of -h**2 - 12*h + 64. Let c = -22 - -3. Let a be p(c). What is the greatest common factor of 182 and a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -f**2 + f + 2. Let a be y(0). What is w in 5*w**3 - 13*w**3 + a*w**4 + 31 + 1 + 16*w + w**5 - 39*w**2 + 23*w**2 = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 2*k**2 + 10*k - 8. Let l be m(-6). Suppose 16 + 658 = -3*a + l*c, 4*a = -c - 886. Is (1\/(-2))\/(3\/a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1.18935 and -6?\nAnswer: 7.18935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 329\/(-5922) + (-111)\/(-54) + 2. Solve 16*p - 11*p = 0, -3*p = -l - a for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*n**3 - 382*n**2 + 29*n - 412*n**2 + 794*n**2 - 29*n.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-28)\/21 - ((-19)\/3 + -1). Let o(t) = 6*t**2 + 40*t - 2. Let i be o(-10). What is the highest common factor of b and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -44 - -42. Let a be 0 + 1*p\/(-2). What is the highest common divisor of a and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 5559, 22587, 50965, 90687, 141747, 204139, 277857, 362895?\n\"Answer: -g**3 + 5681*g**2 - 8*g - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 22209957 a multiple of 1701?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 39331 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-16)\/(-24) - (26\/(-6) - 1). Let g be (-12)\/126*c*(-2)\/2. Let s = 0.02 - -0.38. Put g, -0.3, s in decreasing order.\nAnswer: g, s, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s**3 + 4*s**2 + 8*s - 26. Determine w(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from xxiiijrxiiifrfixfxjj?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7633 - -8006. Calculate the remainder when n is divided by 141.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -3*l - 5*l**2 + l**2 + 2*l. Suppose -8*t + 9*t + 4*d - 33 = 0, 2*d = -t + 17. Give i(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.059 - -19365367263768.\nAnswer: 19365367263768.059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 2*y = 18. Let b = 29 - y. Suppose 3*m + 2*m = b. Solve 0*f - 2*f = -t + 12, 12 = -m*f - 4*t for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -262\/15 - -5719\/330. Sort h, -2, 4, -5.\nAnswer: -5, -2, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -119557772*q**5 - 267*q**2 + 49808*q wrt q?\nAnswer: -7173466320*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18087.\nAnswer: 3, 6029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 55 plus 7?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -86 divided by -86.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand -k**5 - 1 + 1 + (k**3 + 2*k**3 - k**3)*(0*k**2 + 0*k**2 - 2*k**2) + (-8*k + 8*k - 10*k**3)*(4 - 4 + 2*k**2).\nAnswer: -25*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6, -107, -268, -489, -782, -1159, -1632, -2213?\nAnswer: -2914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pccpppaepcaecap. What is prob of picking 1 a and 1 e?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 12, -7 in increasing order.\nAnswer: -7, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 448*q - 110*q - 114*q - 106*q - 114*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -14 - -48. Suppose -38 = 4*u - l. Let y(w) = 9*w**3 + w**2 + w + 1. Calculate y(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 1. Let y(u) = -u + 2. Let o = 18 + -20. Let t(a) = o*x(a) + y(a). Let h(l) = -19*l. Determine h(t(b)).\nAnswer: 19*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sum -473 and 3580.\nAnswer: 3107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -u + 6. Let n(k) = k**2 - 5*k + 4. Let i be n(u). Find the second derivative of -19*c + i*c**4 - 15*c + c**4 + 36*c wrt c.\nAnswer: 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*c**3*g**2*m**2 + 926814*c**3*m**2 - 715*c**2*m - 56*c*g**2*m - 28*g**2*m**2 wrt c?\nAnswer: 12*g**2*m**2 + 5560884*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5666 is divided by 284?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 4, -104, -148, -5 in increasing order.\nAnswer: -148, -104, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 100 a factor of 149300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -852 = -22*u - 852. Solve 47 - 17 = -5*w - 4*x, u = -6*w + x - 7 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 3*k - 85. Let w be g(29). Let z(j) = j**2 - 40 - 2*j + j + 0*j**w. Calculate the smallest common multiple of z(-7) and 14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 4*c + 8. Let q = -489 - -490. Suppose 0 = k + 2*w + 6, 2*k - w + 14 = -3*w. Let r(o) = 1. What is k*r(j) + q*z(j)?\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -4281, -4275, -4267, -4257, -4245, -4231, -4215?\n\"Answer: d**2 + 3*d - 4285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 3*u - 89. Calculate the remainder when 93 is divided by u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2652395 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -0.2244*-0.4\nAnswer: 0.08976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -27 + 17. Let r(w) = w**2 + w. Let v(h) = -11*h**5 - 5*h**2 + 8*h. Let q(s) = t*r(s) - 2*v(s). Find the second derivative of q(p) wrt p.\nAnswer: 440*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3)\/((-15)\/(-20)) - 5. Let l(y) = -5*y**2 - 4*y - 1. Let d(o) = 11*o**2 + 9*o + 2. What is m*l(i) - 4*d(i)?\nAnswer: i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -564, 1, 3 in descending order.\nAnswer: 3, 1, -564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 24439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 2, 10.\nAnswer: -2, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 752 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*z + 4*u - 851 + 832, 4*z - 36 = 2*u for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is q in 5*q**4 - 7835*q**3 - 47130*q**2 - 94340*q - 62920 = 0?\nAnswer: -2, 1573","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 434 is divided by 135?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = f**2 + 12*f + 18. Let s be t(-12). Solve 5*u + 8 = -5*v - 22, 5*v - u + s = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a**2 + 18*a + 31. Let b = 2437 + -2416. Give p(b).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/(-12))\/(2\/32).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5532?\nAnswer: 2, 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -122 divided by 994406.\nAnswer: -61\/497203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 44479398 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2215044 to the nearest integer?\nAnswer: 1488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j**2 - 10*j + 14. Let m be z(-11). Suppose 0 = 5*i - 4*g - 93, 4*i - g = m*g + 76. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -5\/216 and 115\/864.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 111034917 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -v**3 - 13*v**2 + 2*v - 38. Let u be h(-14). What is the greatest common divisor of 52 and u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -874.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3170\/9 - -352. Which is the nearest to -13\/4?  (a) 3\/2  (b) r  (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -107, -85, -63, -41, -19?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.2 - -0.2. Let z = r - 0. Let j = -0.1 - -0.2. Which is greater: j or z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 + 33 - (-193 + 113 + 180)\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.6437 minus 0.023728?\nAnswer: -3.667428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 divided by 4.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b*b\/b**(-2\/7)*b**(2\/15) assuming b is positive.\nAnswer: b**(254\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -429 - -429. Let m = -0.28 - 0.02. Which is the fourth biggest value?  (a) m  (b) 5  (c) 0.06  (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = -2*p - 2*p + 4*o, 3*p + 7 = 2*o for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 11\/2 + (-7)\/14. Suppose 0 = -4*f + 8 - 24, 3*q = -5*f + 85. What is the greatest common factor of k and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (3 - 0)*(-10)\/(-6). Suppose d - 2*d + p = -6, 0 = 4*d - i*p - 29. Let z(n) = 8*n**3 - 2*n**2 + n. List the prime factors of z(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 1, m: 2, i: 1, r: 3, h: 5}. What is prob of picking 2 h and 1 i?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 44 a factor of 93327828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -8, -18, -34, -56, -84?\n\"Answer: -3*c**2 - c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2452 - 2452. What is the third smallest value in -8, 9, 4, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by 962715\nAnswer: 2\/962715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1935 - -1963. Solve -h*b + 5 = -29*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 57 = 5*y, 0*m + 4*y = -3*m + 204. Let d = m + -431\/6. Put -3\/2, 2\/15, -5, d in ascending order.\nAnswer: -5, -3\/2, 2\/15, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 68924731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4415 + 4426. Solve 40 = 3*i - f*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 482 minutes after 9:53 PM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 135 a factor of 436638195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 43 and 495930?\nAnswer: 21324990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 17\/(-34)*(1 + -435). Let n = -22 + p. Suppose -3*l + n = -5*q, -2*l - q = l - 195. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 32 and 303580?\nAnswer: 2428640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -6 + 261\/(-6) + 5. Let w = 187\/4 + f. Factor 3\/4*q**4 - 15\/4*q**2 + 3\/4*q**3 + 0 + w*q.\nAnswer: 3*q*(q - 1)**2*(q + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5\/1748 + -17845\/127604. Is m at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 607 minutes after 11:09 PM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6 + -4. Suppose -5*t + 22 - o = 0. Suppose h - t*d = d - 5, -3*h = -d - 13. What is the remainder when 13 is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 77, 61, 41, 17?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 12051\/618 + (-21 - -2). Which is the closest to u?  (a) 4  (b) 1\/2  (c) 2\/63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 568 minutes after 1:27 PM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 529116 is divided by 528981.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21757 is divided by 68.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1674795?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 5468895708 a multiple of 13603?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1431\/((-126)\/(-14)))\/3.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from ttttttttttttnnnttt?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/52*(-1274)\/(-6664)?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 415 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -201, -202, -205, -210?\n\"Answer: -s**2 + 2*s - 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -619*r**4 - 3*r**3 - 3611*r**2 - 77311146*r.\nAnswer: -7428*r**2 - 18*r - 7222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8 (base 11) to base 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 4042431 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 36815 to the power of 1\/2, to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1152316.97299436 - 1152317. Let w = -0.027 - s. What is w rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.03?  (a) 2\/7  (b) -0.2  (c) -2  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + 1*sqrt(612))**2 + -5 + 5 + sqrt(612)*-2 + 3.\nAnswer: -48*sqrt(17) + 624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*a + 90 = -2*a. Suppose -4*f = -14 - a. Suppose 0*q - 536 = -f*q. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q\/(q**(-2\/19)\/q)*q*q**(3\/7)\/q*(q*q*q**(-8))\/(q*q**5)*(q\/((q\/(q\/(q\/((q*q**(-8))\/q*q)))*q)\/q)*q**(-4))**(3\/5) assuming q is positive.\nAnswer: q**(-10684\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 0.102092*210\nAnswer: 21.43932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 25 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 3 = -2. Let a be 3 + 2 + -2 + r. Suppose 3*l = 2*c + 56 + 32, -2*l + 3*c = -67. Solve l = -a*t + 6 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/430 and -61\/30.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 4*t - 15. Let s(j) = -23*j + 953. What is 5*o(p) + s(p)?\nAnswer: -3*p + 878","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5400*z + 5420*z = 29520. Is 18 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*(4\/(-10)*-10)\/14.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 912333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 596 is divided by 151?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -z - 3*f + 6, -2*f - f = 3*z - 18. Let v(b) = -b + 1. Determine v(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*a + 357 - 24 = -30 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/7, -9, -8, -0.06, 79 in ascending order.\nAnswer: -9, -8, -2\/7, -0.06, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 0*d**2 - 2*d + 3*d**2 + d**3 + 0*d**3 - 4. Let p be c(-3). Let m(o) = -p*o**2 + o**2 - o**2. Let l(k) = k**2. Give m(l(h)).\nAnswer: -2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 15*n. Let i(s) = 28 - 12 + 3*s - 16. Calculate i(u(b)).\nAnswer: 45*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 4*z - 2*z + 4*z - 5*z. Let s be (-1 + 0)\/((-5)\/25). Let f(r) = -r**2 + 4*r. Calculate s*j(t) - f(t).\nAnswer: t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.022 - -3.238. Let k = j + -3.260157. What is k rounded to 5 decimal places?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -d - 1. Let f be n(-1). Let z(j) = 6*j**2 - 7*j**2 + 0*j + f*j. Let p(l) = -9*l**2. Calculate z(p(v)).\nAnswer: -81*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 72 + 31 + (53 - 210).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10941.\nAnswer: 3, 7, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 22 = -5*b, -3*b = 4*g - 38 + 19. Which is greater: g or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -477.000419 + 477. Round r to 5 decimal places.\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4758*r**2 + 392*r + 2 = 0. What is r?\nAnswer: -1\/13, -1\/183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.112 - -0.206. What is c rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 14, 16, -3, -1 in increasing order.\nAnswer: -3, -1, 4, 14, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -281 = 31*s - 32*s - 2*i, 0 = 5*i - 10. Calculate the remainder when s is divided by 96.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6259?\nAnswer: 11, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is k in -2*k**3\/7 + 1742*k**2\/7 - 485808*k\/7 + 6055200 = 0?\nAnswer: 175, 348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.1 and -0.16?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jyj when three letters picked without replacement from jjjjjyjyyyyjjjyy?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 130 minutes before 1:00 PM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20966 - 2*n + 20966.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 149928318 divided by -574438?\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 7002662 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 298473818 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -12, 3959, 0, -2, -3 in increasing order.\nAnswer: -12, -3, -2, 0, 3959","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h**2 + 8*h + 8. Let i(f) = -f**2 - 5*f - 5. Let k(c) = -5*d(c) - 8*i(c). Let b(j) = -j**2 + 17. What is k(b(w))?\nAnswer: 3*w**4 - 102*w**2 + 867","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 952746 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: What are the prime factors of 1151780970?\nAnswer: 2, 3, 5, 1217, 31547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 11 - -12001012?\nAnswer: 12001023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5245866915.\nAnswer: 3, 5, 43, 8133127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 105952226 != 105952228?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9098?\nAnswer: 2, 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(2\/3)\/g)\/((((g*(g*(g*g**(-5)\/g)\/g*g)\/g)\/g)\/g)\/g)*(g**(-2))**(-2\/99))\/(g\/(g**(-1)\/g)*g*(g**(-8\/7)*g)\/g*g)**(-24) assuming g is positive.\nAnswer: g**(68800\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 5*f = -0*b - 244, -4*b - 478 = -5*f. Let s = -141 - b. Is s greater than -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 999623, 999617, 999621, 999641, 999683, 999753, 999857, 1000001?\n\"Answer: x**3 - x**2 - 10*x + 999633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -14 + 13. Suppose -2*d + x = -3, 4*x = -5*d + 9*d - 4. Which is the closest to d?  (a) h  (b) 3\/2  (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 1, -3, -0.4, -328, -34\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -69704786*3\nAnswer: -209114358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*o + 7*o - 19*o**2 - 60*o**2 + 17*o**2 wrt o?\nAnswer: -124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12.93 rounded to zero decimal places?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -28057 or -28056?\nAnswer: -28057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13419 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 15088932?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/2757 and -77\/45.\nAnswer: 41355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 378869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (-25*m + 38*m**2 - 35*m**2 - 3 + 5)*(-1 - 2 + 4 + (3 + 0 - 1)*(-2 - 3 + 3) - 7 + 2 + 4 - 4 + 7 + 7) as f*m**2 + k*m + z and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00061830991 to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1770.2 * -3.\nAnswer: 5310.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -168 = 301618*i - 301723*i - 2*l, -3*i + 69 = -3*l for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -74257 or -1?\nAnswer: -74257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -6736 divided by -4?\nAnswer: 1684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1609019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 2, n: 4}. Give prob of picking 1 q and 2 n.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 240 minutes before 8:23 PM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.925 - -0.325. What is the closest to -1 in 3\/5, 0, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 72\/(-90) + (-192)\/(-140). Let x = 23 + -23. Sort x, -0.2, r in descending order.\nAnswer: r, x, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*y**2 + 13*y**2 - 29*y**2 to n*y**2 + a*y + m and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3823 + 10*j - 5*j + 2*j + 3823.\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 9374 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rtttttttttttt. What is prob of sequence ttrt?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that -529*r**5 - 14237*r**4 - 25209*r**3 + 2273*r**2 - 50*r = 0.\nAnswer: -25, -2, 0, 1\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2 and 1478.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.31 - -0.11. Let w = -443.631 - -442.4310088. Let s = z - w. What is s rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 15\/2*8*(-13)\/(-156)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -41  (b) -269  (c) 7  (d) -0.138\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0*(24\/6 + -5). Suppose 0*f + 8*f - 16 = i. Factor 3\/4*s + 0 + 1\/4*s**f.\nAnswer: s*(s + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 43651 is divided by 8716?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7701 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 705 minutes after 4:34 AM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 21 - 21.2. Which is the nearest to 0.2?  (a) -5  (b) -2  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -y**3 + 21*y**2 - 4*y + 95. Determine x(21).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 1095*d**2 - 3. Let n(y) = -7*y. Give m(n(b)).\nAnswer: 53655*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is b - 15?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -44, 19, 1, -121, 2\/7 in descending order.\nAnswer: 19, 1, 2\/7, -44, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*m - 4*p - 22, -3*p = -2*m + 22 - 5. Let j be -1*(m - -60)\/1. Let c = j - -109. Calculate the remainder when 191 is divided by c.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3497432687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is (-979280)\/(-6) - ((-1624)\/348 - (-5)\/1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/(-7))\/(12\/(-21))*-1.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.15 and 2450625.\nAnswer: 2450624.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v - 9*v = 90. Let o be (v\/(9\/3))\/1. Let z be (o\/(-20))\/(7\/4). Which is greater: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(1\/3)\/(i**(2\/9)\/i)*(i**(-2\/7))**(-3) assuming i is positive.\nAnswer: i**(124\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 15823945721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 83842 and 4884.\nAnswer: 503052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 2, a: 1, r: 5, l: 1}. Give prob of sequence er.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1549300 rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((70\/(-735))\/((-3)\/(-7)))\/1. Put -5, -1\/394, r in descending order.\nAnswer: -1\/394, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.63892528 rounded to one dp?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20302 (base 4) to base 13.\nAnswer: -343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 4.4 or 6\/71?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2179679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 8147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 293 = 294?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 2 = -0*m, f - 14 = 3*m. Let z(x) = -x**2 + 8*x - 6. Let b be z(7). Let s(k) = 5*k + 1. Calculate the remainder when f is divided by s(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1  (b) 17  (c) 4  (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (399616\/112392)\/(1\/((-18)\/(-4))).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2\/5*m**5 - 4\/5*m**2 + 2\/5*m**4 + 2\/5*m + 2\/5 - 4\/5*m**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*y - y - 4*v + 6, 12 = -4*y + 4*v. Let f(m) = -m**3. Let d be f(y). Let l be d + -1*(3 + -2). What is the highest common factor of l and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -644.9 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 40996 - 38?\nAnswer: 40959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1544301?\nAnswer: 3, 11, 19, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the first derivative of 153 - 139\/3*l**3 + 0*l**2 + 0*l**4 + 0*l - 2*l**5. What is the third derivative of s(j) wrt j?\nAnswer: -240*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -n - 3. Let k(w) = -w + 1. Let r be (81 + -79)\/((-2)\/1). Suppose 0 = 3*g - 0 + 12. Determine g*k(s) + r*d(s).\nAnswer: 5*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*o = 35 - 125 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 18 + -13. Let g be 1*29*(6 + -8). Let x = -53 - g. Is f bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -140*l**2 + 17*l + 12. Let v(x) = 1540*x**2 - 185*x - 130. Let a(b) = 65*k(b) + 6*v(b). What is the tens digit of a(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 3*p + 7 + 1 = 0, 0 = -4*l - p + 4. Let j(v) = -2 - 2*v**l + 2. Let a(y) = -2*y - y + 4*y. What is j(a(g))?\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 2 = 3*j, -c + j = -0 - 2. Suppose 5*n = 2*n - 5*t + 947, -1256 = -c*n - 5*t. List the prime factors of n.\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, -4, -7 in ascending order.\nAnswer: -7, -4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 1912247535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 199151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1 - -5. Let j(v) = p + 0 + v**2 - 7*v - 2. Determine j(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16620054 (base 7) in base 10?\nAnswer: -1635120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2544881882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -10*(-6)\/(-15) - -460. Let d = w - 322. Which is smaller: 135 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4395 divided by 3.\nAnswer: -1465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g**2 + 54*g + 759. Determine w(67).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -860665 >= -860663?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -t + 15 - 8, 20 = -4*b. Sort t, 4, -389 in decreasing order.\nAnswer: 4, t, -389","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2554*g**4 - 940 with respect to g.\nAnswer: 10216*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3424 = 4*q - 4*z, -5*q + 3*q + 1719 = 5*z. What are the prime factors of q?\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (0 - (-6 - 4)) + (-5 - -1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 3 e when four letters picked without replacement from babeaaabeabbeeebbb.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 24 = -0*u. Suppose -9*x - 33 = -10*x - 5*h, 3*h + 73 = x. Calculate the remainder when x is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = z**3 + 12*z**2 + 8*z - 4. Let w(v) = 2*v**3 + 25*v**2 + 16*v - 8. Let g(t) = 7*n(t) - 3*w(t). Calculate g(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -4*x**2 - 2*x + 43. Let k(y) = 7*y**2 + 2*y - 86. Let m(g) = -5*a(g) - 2*k(g). What is the hundreds digit of m(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 475 - 531. Let z = o - -73. Solve z = 4*a + 1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3 and 74.\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -1, -0.3, 0.1, -32 in descending order.\nAnswer: 0.1, -0.3, -1, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 42446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.5, 6, 10, -3, -1\/11, -29?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -147 - 34146?\nAnswer: -34293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6628208?\nAnswer: 2, 349, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 13184 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 4, 1, 5, 5507 in descending order.\nAnswer: 5507, 5, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 39561, 39609, 39671, 39747?\n\"Answer: 7*y**2 + 27*y + 39527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Are 127172 and 127181 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 12, -314\/25, 0.38?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -1\/3, 3, -3.32 in ascending order.\nAnswer: -4, -3.32, -1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1709563.\nAnswer: 19, 89977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 13 + -12. Suppose -2*x - 2*a = 2*x - 768002, 0 = a - b. Suppose -3*d - x = -5*d. What is d rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 2 = 10. Suppose 18 = -2*z - 5*t, 2*z + t - 4 + y = 0. Solve w - 5 = -z for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 325 minutes before 4:13 AM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-l - 2*l**2 + l)*(0*l**2 - l**2 + 0*l**2 - l**2 + 6*l**2 - l**2 + (0*l + l + l)*(3 - 3 - l)).\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 3305, 3242, 2757, 1640, -319, -3330, -7603?\n\"Answer: -35*g**3 - g**2 + 185*g + 3156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in fifteen quarters of a week?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-3008)\/(-470)*20\/(-8)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 52 (base 7) in base 2?\nAnswer: 100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = -5*u + i, 0 = 3*u + i - 0 + 2. Calculate the lowest common multiple of (1 + 3)*(u + 3) and 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -11, -32, -73, -134, -215, -316?\n\"Answer: -10*o**2 + 9*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 3\/616 and -13\/176?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 16312 - 15507.7. Let o = -852 + a. What is o rounded to the nearest integer?\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3 + 3.1. Let u be -1 - ((-96)\/(-15) - 8). Which is the closest to n?  (a) -2  (b) u  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((48\/(-5))\/((-304)\/456))\/(2\/(-5)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 571306 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s = q - 7, 0 = -40*q + 73*s - 96*s + 28*s - 170 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.3 and -1516921.\nAnswer: -455076.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v = -2*c + 6, -3*c + 20*v - 5 = 24*v for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -29 + 43. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 151 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: Find the second derivative of 664*q**4 - 16*q**3 + 4*q**2 - 721003041*q wrt q.\nAnswer: 7968*q**2 - 96*q + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 1280*u - 1302*u + 415712. List the prime factors of u.\nAnswer: 2, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -97, -99, -99, -97?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 5, j: 10}. What is prob of sequence qqjq?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-1\/3))**(-1\/47)\/(y**(-2\/9)*y**(-7)))\/(y**(9\/7)*y**(1\/3))**41 assuming y is positive.\nAnswer: y**(-175148\/2961)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -48*q**6 + 2824*q**4 - 469*q**2 + q - 34.\nAnswer: -5760*q**3 + 67776*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 558 is divided by 1958\/77 + 7 - (-3)\/(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 1 - 1116*n + 1118*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*i + 25*i + 126 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 6*(4\/8 + 0). Suppose -5*v + 169 = 3*p, -b*v + v - 3*p = -64. What is the remainder when v is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6545 divided by -1?\nAnswer: 6545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 135\/7  (b) -4  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2c + -1e2c?\nAnswer: -1e58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = 2*w + 30, 96 = -5*w - l + 4*l. Let c = w - -65. What are the prime factors of c?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6683 + 1723 = -z. Let q be 4\/(-10) + z\/(-15). What is q rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 14*(-18)\/(-1260)*(-10)\/316. Suppose -j - 5 = -4. Which is smaller: r or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 993.252 grams?\nAnswer: 0.993252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*u + 2736 = 825. Solve 40 = 59*i - u*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o, 1 y, 1 z, and 1 b when four letters picked without replacement from {b: 2, o: 1, z: 3, t: 5, y: 7, h: 2}.\nAnswer: 14\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5 in 3, 0.2, -1\/27?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -5*z + 2*z - 5*q, 2*z - q - 12 = 0. Suppose 479 = z*r - 749. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 + 26 = 7*x. What is the second derivative of -1544*l + 0*l**5 + l**5 + 1541*l - 8*l**3 + 37 - 30*l**x wrt l?\nAnswer: 20*l**3 - 228*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 254 minutes after 11:51 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*d + 33*d = 24. Suppose -3*h = -4*h + 5. Sort -1, d, h in descending order.\nAnswer: h, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -22\/524625?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 700046 by 1226.\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 8380284 times 2?\nAnswer: 16760568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 * 0.046202.\nAnswer: -0.23101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-33))**(-24)\/(a**(2\/59))**16 assuming a is positive.\nAnswer: a**(46696\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 368556.8l in millilitres?\nAnswer: 368556800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -65310 - -65312. Factor 0 + 4\/7*i**3 + 6\/7*i**d + 0*i.\nAnswer: 2*i**2*(2*i + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 54 - 269\/5. Let m = 217\/44 - 19\/4. Sort g, -1\/4, m in descending order.\nAnswer: g, m, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.5 - -1.7. Let v = 6699.1 + -6699. Which is the third biggest value?  (a) 4\/3  (b) v  (c) f  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor k**3 - 5472*k**2 + 5469*k + 10942.\nAnswer: (k - 5471)*(k - 2)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 + 3 - 79*f**2 + 29*f**2 + 52*f**2.\nAnswer: 2*f**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/15 of a hour in minutes?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 3*t**2 - 54*t + 169. What are the prime factors of n(23)?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24928424 is divided by 121602?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -81091, -81410, -81937, -82666, -83591, -84706, -86005, -87482?\nAnswer: -89131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-40)\/(-60))\/(44\/(-165)))\/(2\/(-4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -3*j**2 - 48*j + 45. What is d(-17)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 36 = 4*f, 5*o = -0*f + 5*f - 5. Sort 1, -5, f, 2.\nAnswer: -5, 1, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 12852 and 13311.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/15 in 0.1, -3, -0.2, -16\/323, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a - 2*k - k - 12 = 0, 0 = -5*a + 5*k - 20 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 3 - 2)*(-c + 4*c - 2*c) + (c - 1 + 1)*(0 + 0 - 1) - c - c - 2*c + 0*c - 3*c + 2*c.\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -1828786*a - 20160. Let u be r(-10). Round u to the nearest 100000.\nAnswer: 18300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 - 9 + 3)*(0*w**2 + 2*w**2 + 2 + w**2) as m*w + s + u*w**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) be the third derivative of 209*k**6\/40 + 799*k**3\/6 - 8*k**2 + 14*k. What is the first derivative of m(b) wrt b?\nAnswer: 1881*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the third derivative of s**4\/6 - s**3\/2 - 2*s**2. Let h be j(5). What is h rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, f: 7, z: 10}. What is prob of picking 1 e and 1 f?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-2\/23))**47\/((a\/a**3)\/a)**25 assuming a is positive.\nAnswer: a**(1631\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/360267 and 23\/12423.\nAnswer: 360267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -13 + 25. Let s be m\/(-10)*3\/(-6). Let y = -2.7 - -2.8. What is the third smallest value in y, s, -0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 2*b = 81 - 427, -4*k + 352 = 4*b. Suppose 2*h + m = -2*m + 352, -5*h = -5*m - 830. What is the greatest common divisor of h and k?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 81298.55 kilograms in nanograms?\nAnswer: 81298550000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 163488023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -624 + 862 = 7*i. What is the remainder when i is divided by 29?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 71\/6, 0.17, -1612 in descending order.\nAnswer: 71\/6, 0.17, -1612","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000049783487 to 7 dps.\nAnswer: 0.0000498","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -2670 (base 14) to base 10\nAnswer: -6762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1111010010100001100 (base 2) to base 15.\nAnswer: 9d6a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -595225.76 rounded to the nearest 1000?\nAnswer: -595000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2681 = 9*d - 8448 - 202. What is the remainder when d is divided by 213?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 487669.2ml in litres?\nAnswer: 487.6692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -106*r + 164*r = 116 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -79*c - 852. Calculate d(-8).\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1353 + 1351. What is the closest to s in 0, 3\/26, 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 2*o = n + 2, -12 = 2*n + 4*o. Let s = -31.4 - -25. Let k = s - -6. Which is the third smallest value?  (a) n  (b) k  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 4913.369 microseconds?\nAnswer: 4913369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + ((sqrt(117)*-1 + -4)*5*-4)**2 + ((sqrt(117) - 1*sqrt(117))*6 + sqrt(117) + sqrt(117) + -1 + -5)**2.\nAnswer: 9528*sqrt(13) + 53708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 6*f + 19. Let o be 12\/((-5)\/(20\/(-6))). Does 21 divide l(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3*(-2 + 4 + -3). Let q = o + 0. Let w(f) = -f**3 - 7*f**2 - 7*f - 3. Let g be w(-6). Sort g, q, 1.\nAnswer: q, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 313 + -148. Calculate the greatest common factor of d and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 205217 and 163.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 78 + -89. Let h be (-137 - i)*(-6)\/7. Suppose 3*z - h = -3*p, -4*p - 108 = -0*z - 3*z. Calculate the remainder when 70 is divided by z.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -w - 10. Let d be c(-8). Does 6 divide ((-32)\/(-6) + d)*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -117*p**3 + 57*p**3 + 62*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(468) + sqrt(117)\/sqrt(36) - (sqrt(13) + -1 + sqrt(208) - (1 + sqrt(1300)))) + 1 + -5.\nAnswer: -1 + 23*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 25 - 12. Suppose -5*v = 2*c - 18, -l = 5*v + 3*c - 35. Find the first derivative of -2*f**2 - 1 - f**v + 2*f**2 + 2 wrt f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 28*h - 6. Let z be y(1). Let c(g) = 4 + 8*g + 28*g - 9*g - z. List the prime factors of c(10).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = -2*m - 40, -2*m + f - 95 = m. List the prime factors of (1\/(-2))\/(1\/m).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3574113 + -870697. Let l = f - -179584. What is l rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/15, 0, -0.1, 14.2, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k**3 - 31*k**2 + k - 24. Let y be a(31). Find the first derivative of -15*c**3 - y*c**3 + 7 + 5*c**3 wrt c.\nAnswer: -51*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -5*u**2 + 196*u + 171. What is y(40)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 491, -211, 2, 3, -3 in descending order.\nAnswer: 491, 3, 2, -3, -211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = -7*p - 2*c, 0 = -p + 247*c - 124*c - 126*c + 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that -3*i**4\/4 + 1485969*i**3\/4 - 183997510641*i**2\/4 - 2760213793461*i\/4 - 2576277209562 = 0.\nAnswer: -8, -7, 247669","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -200, -3, 0 in decreasing order.\nAnswer: 0, -1, -3, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 71.31181 grams in tonnes?\nAnswer: 0.00007131181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = -3*r + 5*f + 29, r = 2*f + 12. Suppose 0 = -0*s - r*s + 638. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 4*l**2 + 91*l - 18. Let j be q(-23). Calculate the highest common factor of j and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -o**3 - o**2 + 3*o + 3. Let d be i(-4). Let g(t) = 2*t - 1. Let s be g(-2). Let n = d + s. Calculate the remainder when n is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.55  (b) -2  (c) -0.082\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -263 - -372. Is 21 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 43457982*a**2*t**2 - 3*a**2*t - 10*a**2 - a*t + 3160*a wrt t.\nAnswer: 86915964*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*d**4 + d**2 - 29*d**3 - d**2 + 26*d**3 + 2*d**2 in the form v*d + h*d**4 + a*d**3 + p + b*d**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 10, -4.\nAnswer: -4, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = 5*t, 3*i + 2*t - 25 = -6. Let a be 3\/(-6)*6 + 2. Sort 7, i, -5, a in decreasing order.\nAnswer: 7, i, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1085 + 2327. Does 46 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 121111221110110 + -2?\nAnswer: 121111221110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 43 and 140338.\nAnswer: 6034534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -697 + -48?\nAnswer: -712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -19*f - 131. Let t(s) = 17*s + 129. Let c(b) = -5*t(b) - 4*v(b). Let i be c(-13). Sort i, 1, 11, 5 in ascending order.\nAnswer: i, 1, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-354)\/(-295)*(-5)\/(-16)*((3 - 9) + 14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 91 + -90.4. Sort o, 3, 2\/7.\nAnswer: 2\/7, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2\/7  (b) 4  (c) 0.0586  (d) 0  (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 2384000 = -4*b, 0 = -4*a - 2*b + 2354899 - 447693. Let q = a - 316804. Round q to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -277 - -271 - (2 + -2 + -10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = u**2 + 8. Let f(h) = -8*h**2 - h**2 + 4*h**2 + h - 33. Let b(k) = -k**2 + 7*k - 3. Let l be b(4). Let v(o) = l*n(o) + 2*f(o). Determine v(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d - 23 = t, -3*d - 78*t = -82*t - 1 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -6*z - 54. What is the smallest common multiple of u(-16) and 16?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 41 = -39. Suppose -12*m - 420 = 3*m. Let y = m - -76. What is the greatest common divisor of y and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + 0 - (-7 + 2 + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.32222 at most 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 19342820?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 15*t**3 + 7*t + t - 24*t**3 wrt t.\nAnswer: -54*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k + 3*m + 14 = -4, -5*m = -k + 26 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0 - 0\/(-19 + 5). Determine x so that 2*x + v + 4\/3*x**2 - 2\/3*x**3 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1741 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 19646 = -2*g, 3*b - 2*g = -g - 58923. What is b rounded to the nearest 100?\nAnswer: -19600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve y + 5*z = 3*z, 5*y - z = 22 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 12 and -8452.\nAnswer: -101424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2, 1292, -1, 11\/3, 1?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 72548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 742995?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 6\/25 of a millennium?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 6*z + 77. Let g be q(-13). Put -20, -4, 3, g in ascending order.\nAnswer: -20, -4, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2834, 5667, 8500?\nAnswer: 11333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -1194 times 138657\nAnswer: -165556458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 126 + -115. What is the biggest value in h, 6, -1\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 124\/(-10) + (-27)\/45. Let n = 20 + y. Suppose n*r = r. Solve -4*k = 5*b + 12, r = -2*k + 3 + 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24700977?\nAnswer: 3, 7, 130693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 243.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -4*b**2 + 6. Let w(o) = -11*o**2 + 17. Let s(d) = -2*d**3 - 3*d**2 + 2. Let c be s(-2). Calculate c*w(f) - 17*z(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 406667 to the power of 1\/2, to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*f + 7374 = -18078. What are the prime factors of f?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ffamaqfmssmmmm. What is prob of picking 1 q and 1 a?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 145733.\nAnswer: 7, 109, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 7 = 4*x + 2*q, -x - q = 2. Let l(i) = -32*i - 8*i**x + i**2 + 4 + 3*i**2 + 39*i. Does 46 divide l(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*j = -4078 + 1222. What is the highest common divisor of 102 and j?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 27*k**4 + 122865*k**3 - 2*k + 1605727.\nAnswer: 324*k**2 + 737190*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 33436658 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 14 = 3*j, -2*j - 2*i = 2*j + 18. Let t be (-3)\/(3\/j)*-2. Let b(x) = -x - 4. What is the units digit of b(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 16952 and 1352?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 9526?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 210723 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5772 is divided by 5757.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.17 and -7348052.7?\nAnswer: -1249168.959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s**3 + 970*s**2 - 5605*s - 6580 = 0. What is s?\nAnswer: -1, 7, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k**4\/13 + 28*k**3\/13 - 28992*k**2\/13 - 1027548*k\/13 + 81270 = 0. What is k?\nAnswer: -105, -39, 1, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 1, s: 2, u: 3, w: 6, v: 6, j: 2}. What is prob of sequence juvs?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3245595?\nAnswer: 3, 5, 216373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + (-41 - (-5 - 6)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -2 + 2 + 2*m**2. Let j(z) = -z + 4. Let o be j(4). Let n(i) = 4*i**2 + o*i**2 + 3*i**2 - 8*i**2. Calculate x(n(w)).\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19223808?\nAnswer: 2, 3, 25031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1006*n - 829*n + 1824 = -2955 for n.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -18*t + 44. Let n be y(3). Let q(i) = 11*i + i**2 - 2*i + i. Let m be q(n). Solve m*j = j - 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -13486803*h**3 + 8*h - 2019611.\nAnswer: -80920818*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1089 is divided by 440.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve j**4\/4 + 88596027*j**3 = 0 for j.\nAnswer: -354384108, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 55141?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -77 + (5 - 0) - 10\/(-2). Let r be (56\/7)\/((-6)\/(-50)). Let g = r + v. What is the closest to 0.2 in -2, g, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 110 and 22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5 - -4.3. Let g = p + -1.3. Let s = 162 - 482\/3. What is the closest to g in -0.3, -1\/3, s?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 1  (b) -4  (c) 0  (d) -14\/11  (e) -2\/21  (f) 0.5  (g) -51\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -20*c + 66. Let l(n) = -7*n + 22. Let x(a) = -8*l(a) + 3*t(a). Calculate x(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 34*m**2 - 24 + 24*m**2 - 51*m**2 + 12 to i + f*m**2 + s*m and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by 501974?\nAnswer: -1\/501974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 3, u: 6, c: 2, p: 1, k: 4}. What is prob of picking 1 k, 1 p, and 1 l?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8823, -8831, -8853, -8895, -8963, -9063, -9201?\nAnswer: -9383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the first derivative of h - 3 - 1\/2*h**2. Differentiate i(o) wrt o.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*c**6 + 7*c**6 - 7*c**6 + 2*c**2 wrt c.\nAnswer: -360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1401453714 and 2292?\nAnswer: 1146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -398 - -394. Sort 0, -95, j in increasing order.\nAnswer: -95, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5248 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 divided by -1?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.6839 and -52864.05.\nAnswer: -52863.3661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -205 * -6337\nAnswer: 1299085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*u**3 - 1868*u**2 - 183116*u - 3836932.\nAnswer: -4*(u + 29)*(u + 97)*(u + 341)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/2, 2070, -15 in ascending order.\nAnswer: -15, -3\/2, 2070","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -58080 (base 10) in base 14?\nAnswer: -17248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.04 + 0.06. Let r = 0.5 - 0.7. Which is the nearest to s?  (a) 1\/4  (b) r  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -67254478 or -67254480?\nAnswer: -67254478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 29.07556 nanograms?\nAnswer: 0.00000000000002907556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzzzzzzztzzzzzzzzzz. Give prob of sequence ztt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1339646 is divided by 16140?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 25455379 to the power of 1\/4, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -3\/7, 4\/5, -3, 1282, -1\/5, -82?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(176)*-1)\/sqrt(8))\/(sqrt(11) + sqrt(22)\/sqrt(2)*-3) - (-4*5*(sqrt(2) + sqrt(2)*-2 + -2))**2.\nAnswer: -2400 - 3199*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 108*d**2 + 217*d**2 + 288*d**2.\nAnswer: 613*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-12)\/(-30) - (-23)\/5. Let k be (-2)\/(2 + 24\/(-10)). Find the third derivative of 0*r**2 + 4*r**u - r**2 - k*r**5 wrt r.\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4 and 734.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-6)\/8*48\/(-12). Factor 9*a**3 + 15*a**4 - 19*a**4 + 4*a**2 - 12*a + 3*a**m.\nAnswer: -4*a*(a - 3)*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 72.2 - 71.9. Let a = 1 + 1. Let v = 2.5 - a. What is the third biggest value in -0.2, i, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(2\/63)\/y**(-34)*(y**(-19\/4)*y)\/y**(20\/7) assuming y is positive.\nAnswer: y**(6911\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -1, -3, 0, 21.\nAnswer: -3, -1, 0, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4806251 years in decades?\nAnswer: 0.04806251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-2)\/6)\/(2\/(-18)). Suppose 39 = 3*c - 2*c + n, -k*c = 5*n - 117. What is the remainder when c is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:17 PM and 8:59 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*g - 3 - 7*g + 2)*(g**4 + 3*g**4 - 2*g**4).\nAnswer: 4*g**5 - 2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 23*s**3 - 7*s**2 - s - 6. Let k(a) = -19*a**3 + 5*a**2 + a + 5. What is -6*k(m) - 5*y(m)?\nAnswer: -m**3 + 5*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15.63*-25.\nAnswer: -390.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + 6*((-5*sqrt(605)*1)**2 + 1).\nAnswer: 90761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 1800.677 to zero decimal places.\nAnswer: 1801","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (2 - (-94)\/(-49))*217\/62\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:05 PM and 6:58 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -3*s + 11. What is r(7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-150 - -147)\/((-3)\/(-8))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 642755369 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -12 - -12. Suppose -2*l + 2*n + 3 = 1, l + 5*n + 5 = s. Solve l = 5*h - 4*c, 3*h + 3*c = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100 - -11101000000111101101011?\nAnswer: 11101000000111101101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 22\/(-6) + (-4)\/12. Let b = -7 - t. Let j be 3\/(b + (-27)\/(-6)). Solve 2*x = -j - 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 16 = -d, d = 5*j + 3*d - 17. Suppose 3*a - 8*a + 195 = -4*x, -x = j*a - 100. What is the remainder when 64 is divided by a?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*q**2 - 1 + 2669*q + 8*q**2 + 0*q**2 - 15*q**2 to the form u + f*q**2 + i*q and give i.\nAnswer: 2669","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 60\/(-28) - (-2 + 0). Is 0 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 799868434.\nAnswer: 2, 399934217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -2764566 divided by -39?\nAnswer: 921522\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (1344\/720)\/((-2)\/3)*5?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 48 divide 480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.016517 and -299.94?\nAnswer: 299.956517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2 - -1)*(1 - 1). Suppose m*j = j + t, -t = 2*j - 5. Let o = 9 - j. Solve o*w - 18 + 2 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.04 * 0.06202.\nAnswer: -0.0024808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 7*d - 5. Let o(w) = -3*w + 2. Let v(s) = 5*o(s) + 2*r(s). Give v(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -5065\/268844?\nAnswer: -5065\/268844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand d**2 - 6*d**3 + 0*d**2 + d**2 + (-1 - 4 + 6)*(55 + 28 + 84)*(2*d**3 - d**3 + 0*d**3).\nAnswer: 161*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve a - 38 = -13*c, -8*c - 341 + 537 = 4*a for a.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27*t**2 - 120*t**2 + 22*t**2.\nAnswer: -125*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -23*c**6 + 35 - c**2 - 18*c**6 - 35 + 72 wrt c?\nAnswer: -4920*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**(-1\/6)\/m*m)**(-12) assuming m is positive.\nAnswer: m**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*y = 5*l - 3*y - 71, 0 = -2*l + 2*y + 14. Suppose -3*s - 26 = -l. Sort s, 2, 0.\nAnswer: s, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = b**3 - b**2 - 9*b - 22. Let p be k(6). What is the greatest common factor of p and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o**3 + 0 + 0 + 2*o**3 + 0*o**3 - o**3 + (o**3 - 5*o**3 + 6*o**3)*(-1 + 4 - 2) - o**3 + 2*o**3 + 0*o**3 - o**3 + 0*o**3 + 3*o**3)*(-54*o - 19*o + 11*o).\nAnswer: -310*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 3619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -35, -66, -97, -128, -159, -190?\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 17476\/9293 < 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 1, m: 3, c: 2, g: 4, i: 2}. Give prob of sequence mig.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from llollllllllooo. Give prob of picking 2 l.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 49 + -30. Let o be ((-3)\/(-4))\/(s\/76). Solve q + q - o*y = 8, 2*q - y = 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + f = 20. Let j = 4 + 0. Put 3, f, j in decreasing order.\nAnswer: j, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s. Let m(b) = 9*b + 83. Give m(u(h)).\nAnswer: -9*h + 83","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7 - 44*b - 73*b + 12*b**3 + 117*b.\nAnswer: 12*b**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {x: 15, i: 5}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 50556 is divided by 12633.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 1191.3, 41 in descending order.\nAnswer: 1191.3, 41, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5089\/16 + 627\/2. Suppose -5*s - 3*m = 39, -4*s + 2*m + 3 = 21. Find the common denominator of ((-142)\/(-10))\/(s\/5) and q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -27.27+-1411735\nAnswer: -1411762.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1188\/72*2324\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 345170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 23 - 23. Suppose -l = -0*l. Solve l = -d - 4*q - 18, d + q + z = -3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11673952?\nAnswer: 2, 89, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2252 - 2249.8. Which is the third biggest value?  (a) k  (b) 1\/4  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 4*z = 212, 2*o + 5*z + 1 = 213. Let v = 111 - o. Suppose v*q = 1729 - 559. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = i**2 + 9*i + 7. Let y(s) = -2*s**2 - 17*s - 13. Let m(f) = -11*q(f) - 6*y(f). What is m(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + a - 1139 = -5*g, 4*g - 907 = 5*a. Suppose -5*u = 5*o - o - g, -4*u = 3*o - 182. Let d = u + -29. Is d a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l - 5. Let g(k) = -3*k + 14. Let s = -2 + 5. Suppose 19 = -4*f + s. Let b(r) = f*g(r) - 11*h(r). What is the derivative of b(v) wrt v?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*g**2 + 0*g + 0*g - 2*g**2 + g**2 + 3*g**2 + (4*g - 3*g + 2*g)*(3*g - 6*g + g) - 3*g + 2*g**2 + 3*g to the form o*g + y + w*g**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5841 - 5842.6. Let i = 49.7 + -50. Sort i, -7, n in descending order.\nAnswer: i, n, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1311 - -2052. Is k a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 92983 is divided by 85?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 12\/(-42) + (-2)\/(-7). Suppose -3*i - s = -r*i + 10, -4*i - 11 = -s. Let j be 3 - 3 - 1\/3. Which is the third biggest value?  (a) j  (b) 3\/4  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 817 and 818 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 42087487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(1 + sqrt(720) + -5 + -3*sqrt(720)*1 + 5))**2*-2.\nAnswer: -144050 + 2400*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -22*s**3 - 5*s + 16. Let k(q) = -23*q**3 - 6*q + 17. Let y(b) = 5*k(b) - 6*t(b). Differentiate y(g) with respect to g.\nAnswer: 51*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*z**2\/23 - 3824*z\/23 - 1054104\/23.\nAnswer: -2*(z + 334)*(z + 1578)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 3*z = 500, 448 + 44 = 2*o - 5*z. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) be the third derivative of h**7\/210 - h**6\/15 + 17*h**3 - 77*h**2. What is the derivative of f(x) wrt x?\nAnswer: 4*x**3 - 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-24)\/(-60) + 7\/(-5). Let p be h\/2*29\/((-1624)\/(-64)). What is the third biggest value in p, 7, 3\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = b**2 - 4*b + 7. What are the prime factors of k(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = f + 135. Let n = f - -298. Suppose -4*q + 3*j + n = 0, -6*j - 177 = -5*q - 3*j. Is q at most as big as 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 794406328?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 minutes before 5:40 PM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f**3 + 8*f**2 - 9. Suppose -c = -4*c - 21. What is the units digit of z(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/(-10) + (-7)\/((-560)\/888). Solve 0 = 9*c - 11 + l for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (45 - (-1 - -20)) + (-10 - 11) + (-2 - -104).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**2 + 6*v + 45. What is m(11)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23567*i - 5160*i - 4024*i - 7729*i.\nAnswer: -40480*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (-578)\/(-68)*-3*4\/24?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) 1\/637  (b) 3  (c) -0.07  (d) 0.005\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 254454 * 0.008.\nAnswer: 2035.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.0625 + -0.0623555. What is g rounded to 5 decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1050430123 (base 6) to base 16\nAnswer: afaa63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add together -780954 and 4.6.\nAnswer: -780949.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 927709773 to the nearest integer?\nAnswer: 30458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 241, 271, 349, 499, 745?\nAnswer: 1111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g**2 - 4*g + 1. Let h be b(4). Let p = -1 + h. Suppose p = -t + 3*t. Is -2 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -0.4  (b) 1  (c) 30  (d) 1.5  (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3657 is divided by 155?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c - c = 2*h + 3, -4*c = h - 9. Let n(i) = i - 12. Let j be n(6). Let r be (1\/4)\/(h\/j). Is r at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 - (19 + 14 + -25 - (0 + -7))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2\/9  (b) 0.05  (c) -429  (d) -2\/3  (e) 2\/25  (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.87 + 1.87. Let z = -1 - -1.1. What is the nearest to 0 in z, 4, v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the first derivative of 1\/15*m**2 - 4\/15*m - 1 - 1\/30*m**4 + 4\/45*m**3. Factor u(n).\nAnswer: -2*(n - 2)*(n - 1)*(n + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -738 divided by -3\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7870?\nAnswer: 2, 5, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + -5*(sqrt(396) + -1 + 0 - (sqrt(396) + -1 + 4 + sqrt(396)))*3)*1)**2.\nAnswer: 10800*sqrt(11) + 92700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 118, 116, 114, 112, 110, 108?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hrftttfafhfu. What is prob of picking 1 u and 1 h?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ccpucnnnppnnacpcuuu. Give prob of picking 1 n and 1 p.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 0 + (-6 - -4) - 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = 2*z - 0*z + 5, 2*d = -5*z + 10. Let j(y) = 6*y + 2*y**3 - 3*y**3 + 7 - 2 - 10 + 4*y**2. What is j(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 3 i when four letters picked without replacement from tiddddiddtididitio?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 7a - -1?\nAnswer: 7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 23, -11, -43, -73?\n\"Answer: t**2 - 37*t + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = g**3 - 4*g - 25. Let d be n(5). Calculate the highest common factor of 128 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 38256002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -299  (b) 5  (c) 3.4  (d) -1.74\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 4701.204 weeks?\nAnswer: 2843288179200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -53117941*o**3 + 106235883*o**3 - 53117944*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7.000007 + 7. What is v rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that -12*p**5 - 92*p**4 - 256*p**3 - 288*p**2 - 64*p + 64 = 0.\nAnswer: -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 402419.7ml in litres?\nAnswer: 402.4197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1464 and 55086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6699439933?\nAnswer: 6699439933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3225\/(-2580)*(-1)\/(5\/(-6)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 0*w - 5*g - 1 = 0, g + 5 = -4*w. Let q = w + 2. Let n(o) = 99*o**2. Let j be n(q). Calculate the greatest common factor of j and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 19 (base 10) to base 13\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 154360780 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the first derivative of -13*z**5\/5 + 5*z**2 + 13. What is the second derivative of o(j) wrt j?\nAnswer: -156*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 71317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 362*n + 1667 + 3103 = 468*n for n.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -12*f**2*u**2 - 26*f**2 + 2*f - 56*u**2 - 3 wrt f.\nAnswer: -24*u**2 - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5.39 + -0.39. Suppose 0*c + w = -5*c - 3, -4*c - 2*w = 0. What is the closest to 0.1 in m, c, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*n + 13*n - 3 = 0. Suppose a + 53 = n*b - 1, 79 = 5*b + 2*a. List the prime factors of b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + sqrt(40)\/(sqrt(80)\/sqrt(10))*-1*5 + -4 + -4.\nAnswer: -5*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -8ff85 (base 16) in base 7?\nAnswer: -5004150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -l**2 + 10*l - 16. Let g be k(7). Suppose -10*q = -g*q - 15. Calculate the remainder when (22\/4)\/((-2)\/(-4)) is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the third derivative of y**8\/336 + y**7\/210 - y**6\/60 - y**5\/30 + y**4\/24 + y**3\/6 + 3*y**2. Factor z(j).\nAnswer: (j - 1)**2*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*i**5 - 654*i**4 - 22875*i**3 + 1500000*i**2.\nAnswer: -3*i**2*(i - 32)*(i + 125)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 32158*t**4 + 1447*t**2 - 144023431.\nAnswer: 128632*t**3 + 2894*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - -9) + (8 - 180\/15)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 225?  (a) -27  (b) 5  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/12)\/((-1575)\/675)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 34 * -0.001277.\nAnswer: -0.043418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -163 + 162.9999904. Round i to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 77\/8530 and 32\/88353.\nAnswer: 753651090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -61.63 - -32.192. Round o to one dp.\nAnswer: -29.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -2*o - 1. Let h(w) = w**2 - 8*w - 4. Calculate 2*h(z) - 9*k(z).\nAnswer: 2*z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 572*f - 581*f + 47259. List the prime factors of f.\nAnswer: 59, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = -3*t - 12*h + 16*h, -t - 2*h = -14 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 9370 and 150857?\nAnswer: 1508570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -5 + -2 - (-419762238)\/59938515. Let f = -1\/4879 - x. Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (63\/(-42))\/(123\/16 - (-24)\/(-4)).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the third derivative of 0*b - 5\/224*b**8 + 5*b**2 + 0*b**3 + 0*b**4 + 0 - 11\/140*b**7 - 7\/80*b**6 - 1\/40*b**5. Factor q(z).\nAnswer: -3*z**2*(z + 1)**2*(5*z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/4, 22, -6, -7, 8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q**3 - 7*q**2 + q + 10. What is the units digit of d(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = i**3 - 10*i**2 - 18*i + 11. What is z(12)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 42008845?\nAnswer: 5, 8401769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 34070336 + -34070329.00000032. Let o = 7 - r. What is o rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + (3 - 2) + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**2 - 2*x + 50. Let v(z) = z**2 - 3*z + 51. Let p(j) = 3*r(j) - 2*v(j). List the prime factors of p(0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.04282 from -22.50474368.\nAnswer: -22.46192368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 34 - -1?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -46 - 65*y**2 - 34*y**4 + 175*y**4 + 29 + 17 + 2*y**5 - 3*y wrt y.\nAnswer: 120*y**2 + 3384*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 112 + -110. Let v(o) be the third derivative of -o**4\/8 + 5*o**3\/6 + 3*o**2. Let p be v(h). Do p and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 556 minutes after 3:48 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/3 of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 2 + 0 + (4 - 4 - 2)*(-4 + 2 - 1))*(0 + j + 0) in the form h*j + w and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {e: 1, h: 4, r: 3, k: 1, u: 2}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:26 AM and 10:18 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(-16)*(-12)\/(-2)*(-270)\/162.\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s - 12. Suppose 3*d = 10*d - 42. Let h be x(d). Which is the nearest to -0.2?  (a) -1  (b) h  (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 88 = 21*m - 120*m - 1001 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/(-24)*3 + 17505\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -5*i. Let h = 6 - 3. Let m(p) = -545 + 545 + 0*p - p. Let j(f) = h*m(f) - n(f). Determine j(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5343 (base 9) in base 12?\nAnswer: 2333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(144) - (sqrt(4) - (sqrt(144)*-1 + sqrt(144))))\/(sqrt(4)\/sqrt(32) - sqrt(6)\/sqrt(12)).\nAnswer: 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 plus -2008779?\nAnswer: -2008779.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = -2*j. Let z(t) = -t**3 - 3*t**2 - 1. Let v be z(-2). What are the prime factors of (v - (-2 - j))*-4?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -9 + 17. Let d be (n\/(-32))\/((-3)\/188). Let j = -16 + d. What is the closest to j in -5\/3, -2\/5, -0.5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by 251009\nAnswer: -3\/251009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 49*l. Let w be u(1). Let q = 22 + w. Suppose -4*k + 2*g + q = g, -17 = -k + g. What is the least common multiple of 12 and k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 840195135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(243) - -1*sqrt(363))*1.\nAnswer: 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*i = p - 11*i + 192, 3*i - 729 = 4*p. Let j be (-35)\/p*8 + 4\/(-18). Let -j*k**2 - 64\/3 + 32\/3*k = 0. Calculate k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 38740.89m?\nAnswer: 38.74089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -52 + 51.72. Let a = -1.28 - p. What is the nearest to a in -2, 1\/4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n + 6 = 0, -4*o - 184*n + 179*n = -2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -0.04 * -0.047708088\nAnswer: 0.00190832352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -320132114 (base 5) to base 8\nAnswer: -5054241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.88 - 5.22. Let m = l + -0.9. Which is the third biggest value?  (a) m  (b) -2\/11  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 624.2218 centimeters in millimeters?\nAnswer: 6242.218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -9*b + 14. What is the least common multiple of 1 and q(-3)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8 + -8.12. Let j = 5.88 - t. Let h = -1.8 + 2. Put -2, j, h in decreasing order.\nAnswer: j, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k**2. Let h(j) = -8*j**2. Calculate -3*h(m) + 12*o(m).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-595)\/(-51)*6\/10 - (-138)\/(-21)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (52\/650*(-4)\/8)\/((-3)\/10).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w**2 - 2*w - 3. Let r(g) = -g**2 + 1. Let k(s) = -2*m(s) - 4*r(s). Suppose -12 + 9 = z. List the prime factors of k(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 1 + 3*sqrt(68) + 1 + -1 + ((sqrt(68)*-1*3 - sqrt(68))**2 - (-3 + (sqrt(68) + sqrt(68) + 2 - sqrt(68)))**2).\nAnswer: 10*sqrt(17) + 1017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -315*c + 1016 = 509 + 507 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 69*s**3 + 12*s**2 - 9*s. Let c(d) = 35*d**3 + 6*d**2 - 4*d. Calculate -7*c(a) + 3*f(a).\nAnswer: -38*a**3 - 6*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 420 minutes after 12:09 PM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1507203?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-12)*a\/a**(1\/6)*a*a*a*a*a\/(a*a**(-4\/13))*a\/a**(-1) assuming a is positive.\nAnswer: a**(-379\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -109\/10 and 3\/13322.\nAnswer: 66610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 44960 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -11 - -23. Let t = 3 + -1. Suppose -5*x + t - j = 0. Is x greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 2, h: 4}. Give prob of sequence hu.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 95\/54 and -149\/39936.\nAnswer: 359424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -25*a. Let s(t) = -11*t**2 + 457*t + 16. Let f(z) = -7*z**2 + 297*z + 10. Let i(h) = 8*f(h) - 5*s(h). Calculate v(i(d)).\nAnswer: 25*d**2 - 2275*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 66 and 10?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5d2882 + -2c?\nAnswer: 5d2854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -326 + 330. Solve 2*g + 6*g = l*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 349*w - 9028. Let f be l(26). Sort -3, 1, -54, f in increasing order.\nAnswer: -54, -3, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 34, 256, 866, 2050, 3994, 6884?\nAnswer: 10906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 37975730 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -10*l**5 - 3246*l - 1948*l + 155*l**2 + 8330*l wrt l.\nAnswer: -200*l**3 + 310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 551405 to the power of 1\/2, to the nearest integer?\nAnswer: 743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 132 and 351012.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = -d + 2*c, 4*d - 942*c = -941*c - 5 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(57) + sqrt(171)\/sqrt(3))\/sqrt(3))**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 3*r - 41. Let p be s(-8). Let f = 77 + p. Find the first derivative of f - 19*a**4 + 2 - 4 - 18*a**4 wrt a.\nAnswer: -148*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 855 and 136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 219545530 divided by -4429.\nAnswer: -49570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*c = -17*c + 48 + 127 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 5*r + 6. Let f(u) = -3*u - 3. Let p(g) = -9*f(g) - 4*z(g). Does 31 divide p(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -53*o. Let t(p) = -4*p. Determine j(t(m)).\nAnswer: 212*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000071056 to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1465 - 910. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 16*c*f*x - 2*c*f - 60764*c*x - 231*c + 13473*f - 1 wrt f?\nAnswer: 16*c*x - 2*c + 13473","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*o = -11*o - 5*b - 1, 3*b - 2 = -5*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-1\/5)\/a*a*a**0*a*a*(a**(-1\/3)\/a)**(-5\/6) assuming a is positive.\nAnswer: a**(131\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 0.9063 * 2.1\nAnswer: 1.90323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -927, -2161, -4175, -6969, -10543?\nAnswer: -14897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33*b**2 + 143*b**2 - 23*b + 23*b.\nAnswer: 110*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = s**3 + 9*s**2 - 5240*s + 30911. What is m(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - 6*i + 2 + (3 - 6 + 2)*(-1 + 1 + i) to t*i + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 - 2748326*n - 4 + 1 + 2731266*n - 2.\nAnswer: -17060*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 789772.7mm to nanometers.\nAnswer: 789772700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1309 divided by 9.\nAnswer: -1309\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4531, 36306, 122539, 290458, 567291?\nAnswer: 980266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 40\/(-3)*1107\/18. Let p be (k\/(-15))\/(2\/3). Suppose 5*t + 2*b - 685 = 0, p = -t - 2*b + 227. Is t a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -117 - -5?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 2*d**2 + d. Let p be y(-3). Let i be 4\/(-38) + (-7)\/(-798)*18822. What is the greatest common factor of p and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1187099570?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 254 - 2?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-16)\/(-7) - 6*1\/21. Solve d*v + 3 = -3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 times -1.95\nAnswer: 0.195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -146119\/147 + 994. Is h > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-1\/2))**(5\/2))**20\/((i\/i**1*i)**(9\/13)*(i*i*(i*i*(i*i*i**(2\/5)*i*i*i)\/i*i)\/i)**(5\/6)) assuming i is positive.\nAnswer: i**(-425\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 957, 1309, 1617, 1881, 2101, 2277?\nAnswer: 2409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 46 + -43. Which is the second smallest value?  (a) -0.1  (b) -2\/7  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-121919)\/3*(-12)\/(-210)*-15 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1438  (b) -5  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 + ((-9)\/(-1) - -1) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) be the third derivative of q**6\/75 + 3*q**5\/50 - q**4\/2 + 17*q**3\/15 + 1936*q**2. Factor j(g).\nAnswer: 2*(g - 1)**2*(4*g + 17)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 2 d when three letters picked without replacement from dddddrdrdddddrd.\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6.4953, 3\/7, 7, 31.\nAnswer: 3\/7, 6.4953, 7, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5920 - 5885. What is the remainder when 448 is divided by q?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -111*g**3*o**3 + 5*g**3*o**2*r - 2*g**2*r + g*o**3*r - 86*o**3*r wrt g.\nAnswer: -666*o**3 + 30*o**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/15*(152\/(-32))\/(-19).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*(d\/d**(-12))\/d*d**(-1\/5))\/((d**(-3\/14)*d*d*d)\/(d\/(d*d*d**16\/d*d))) assuming d is positive.\nAnswer: d**(-489\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = 4*t - 6. Let v be 0 - -1 - (-48)\/t. Suppose o - 4 = -2*d, 4*o + 0*d - v = -d. Solve o*j + f - 13 = -4, 5*j + 4*f = 27 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -147565 divided by 580?\nAnswer: -29513\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 121\/12 and (-414)\/2484 - (-316)\/2150.\nAnswer: 12900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1008?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -106740.0196 to the nearest one thousand.\nAnswer: -107000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, 5, 8, 672.\nAnswer: -10, 5, 8, 672","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 2 q when three letters picked without replacement from rqyqqhqyq?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 57 + (183 - 182)\/(4\/68).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 31*b**3 - 7*b**2 - 5*b + 4. Is t(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(3 + (sqrt(13) - sqrt(13)*1) + sqrt(13)) - sqrt(104)\/(sqrt(56)\/(sqrt(7)*-2)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*o = -25*o - 75 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -428*f**4 - 1131*f**3 - 2*f**2 + 105677*f + 4?\nAnswer: -5136*f**2 - 6786*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1289, 1270, 1227, 1148, 1021, 834, 575?\nAnswer: 232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3  (b) -6  (c) -226  (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/(s\/((((s*s\/(s\/((s*s**(2\/5))\/s)))\/s)\/s)\/s)))\/s)\/s*s\/(s**6*s*s)*s*s**0*s\/s**(-5) assuming s is positive.\nAnswer: s**(-18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 6977008 divided by -688?\nAnswer: -10141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*d + 5*r + 25, 0*r - 20 = 3*d + 4*r. Solve -n = 2*c - d*c, -2*c = -n + 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2974 is divided by 422.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1 - 564242?\nAnswer: -564241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 10101100000111 (base 2) to base 10\nAnswer: 11015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (213\/(-23146))\/(((-6)\/(-5))\/(7\/((-35)\/(-8))))?\nAnswer: -2\/163","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 681 minutes before 7:49 AM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 + 2\/3*p**3 + 4\/3*p - 2*p**2.\nAnswer: 2*p*(p - 2)*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 90951 - 49372. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 28 - 31. What is the units digit of 6*(z - 68\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -g**2 + 7*g - 1. Let l be c(5). Let d(w) = -2*w - 1. Let s be d(-6). Suppose l*o - s*o = -96. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3639288.6 rounded to the nearest 1000?\nAnswer: -3639000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1014 divided by -1250.\nAnswer: -507\/625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 2\/11  (b) 98\/11  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5448 divided by 681.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 2, e: 1}. Give prob of sequence ae.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 508*l**2 - 268*l + 151*l**4 + 496*l + 489*l - 509*l**2 wrt l.\nAnswer: 1812*l**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3077326?\nAnswer: 2, 7, 219809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 at most 238\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2.1 + 2.2. What is the smallest value in -0.06, r, 16?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 2*y + 65 + 9*y + 8*y - 6*y. Let q be b(-5). Sort -10, q, 3 in ascending order.\nAnswer: -10, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 6*l**2 - 100*l - 14. What is the lowest common multiple of 3 and m(17)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 x when two letters picked without replacement from xwyccxyxxxwxxywyx?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-t + t - 3*t)*(-2044*t - 3075*t - 537*t) to o*t + r*t**2 + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*m = -17*m - 159. Suppose -26 = -2*f + 5*u, m = 4*f + 3*u - 25. Calculate the lowest common multiple of 27 and f.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5c00 + a029?\nAnswer: 12c29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:03 AM and 8:16 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1523209 a multiple of 430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3\/(-12) + 3\/12. Suppose 2 = b - f*b. What is the third derivative of 5*k**5 - 4*k**5 - k**b - k**2 wrt k?\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-17 - 618\/(-36))*4\/(-2). Which is the second biggest value?  (a) -5  (b) 0.7  (c) -0.2  (d) 1\/8  (e) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = l**3 - l - 3. Let c be t(0). Let x be 3\/(0 + -3)*c. Suppose 0 = x*g - 15 - 42. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the second derivative of -5\/2*i**2 + 0 - 1\/6*i**4 - 41*i - 5\/6*i**3. Let v(y) = 2 - 6 - 3 - 7*y - 3*y**2. Determine 7*t(d) - 5*v(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the third derivative of 3*f**2 + 0*f**3 - 1\/300*f**6 + 0*f + 0 + 1\/60*f**4 + 0*f**5. Factor s(t).\nAnswer: -2*t*(t - 1)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) -2  (b) 0.1  (c) 5\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5453 is divided by 107?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-7370002)\/11 + (-36)\/(-198). Round k to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 121, 933, 3115, 7345, 14301?\nAnswer: 24661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*j - 148 + 58. Let z(u) = u**3 - 4*u**2 - 4*u. Calculate the remainder when j is divided by z(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 3*o**2 + 3*o - 3. Let t(k) = -6*k**2 - 7*k + 7. Let p(d) = -3*t(d) - 7*u(d). Let c(z) = -2*z**2. What is c(p(a))?\nAnswer: -18*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 414424333 (base 5) to base 3.\nAnswer: 10020020220221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -15733.4 rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 12, 0, 1, -0.2, -0.781?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2651*y**2 + 483*y + 2 wrt y?\nAnswer: 5302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -352865 (base 12) to base 3\nAnswer: -1121102122112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 286255 is divided by 62.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b**3 + 2*b**3 + 2*b**3)*(3*b**2 + b**2 - 3*b**2) - 4*b**5 + 3*b**5 + 3*b**5 + b**5 - b**5 + b**5.\nAnswer: 6*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6289 (base 16) to base 15.\nAnswer: 771a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the first derivative of -v**5\/15 + v**4\/3 - 2*v**3\/3 + 2*v**2\/3 - 3*v - 4. Let m(c) be the first derivative of t(c). Factor m(l).\nAnswer: -4*(l - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o**3 - 5*o**2 - 7*o + 12. Give a(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*p + 2 + 16. Solve -5*d + 3*i + 25 = -0*d, -5*i - 19 = p*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 950 divided by -5?\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*b - 3*b + 24. Let a be 4*(0 + -1 + 2). Suppose -2*x - 34 = -2*m, -4*x + 60 = -0*m + a*m. Solve 2*l + 7*w + m = 2*w, 2*w = -b for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + x = 3, -5*x - 26 = -4*q - 2*x. Calculate the remainder when 13 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 10 - 3\/(4\/4). Let j be (-3 + n)\/2*3. Solve -3*w + 5*w = -j for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/11  (b) -0.5  (c) 0.04  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sq when two letters picked without replacement from {h: 2, n: 2, q: 3, y: 10, s: 1, x: 1}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 4373*t. Let p(g) = 6*g. What is x(p(d))?\nAnswer: 26238*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5675*m + 5675*m + 4*m**3 + 81.\nAnswer: 4*m**3 + 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -88061048 divided by 134?\nAnswer: -657172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*z = 587 - 8283. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 592338 or 592238?\nAnswer: 592238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f - 43 = -37 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -b**2 + 2*b + 4. Let d be m(-3). Calculate the common denominator of (-51)\/6*2\/d and 53\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*t + 5*t - 3*t + 10*t.\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 64 = -0*c. Let k = 37 + c. Suppose -35 = -k*b + 4*b. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 2*p = -14 - 16, 4*p = -5*r. Suppose -r*t + 2*t - 6 = 4*b, -11 = 3*t + 4*b. Let k be (12\/(-14))\/((-4)\/(-28)). Which is smaller: k or t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3682 = -4*u + 2*r, -5*u = 4*r + 1530 + 3079. Is (-2 + 15\/9)*u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 117485 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -748865467 times -4\nAnswer: 2995461868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -70 = -6*b - 9*s + 5*s, -5*b + s - 10 = -77 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 262292?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 83\/29803844 and -63\/4257692.\nAnswer: 29803844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 107557?\nAnswer: 59, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 116\/(-330) + (-6)\/(-18). Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (5 - 0)\/(0 - -1). Suppose 0*w = -r*w + 20. Suppose -j = -4*x + 4*j + 33, 0 = 4*x - j - 13. Solve 0*t + w*t = 5*s - 6, 0 = -5*s - x*t - 18 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (257*n + 28*n**2 - 257*n)*(3*n**2 - n**2 - 3*n**2) - n**4 + 0*n**4 + 2*n**4.\nAnswer: -27*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 374009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - p = 32. Suppose -2*t - 2*b + 2 = 0, -3*t = -0*t + 4*b. Suppose 5*f = 34 - t. What is the remainder when p is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) + 0 + -5)*-6*6.\nAnswer: -36*sqrt(11) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 277 minutes before 10:57 PM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 282710 - 36?\nAnswer: 282663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3556, 19, -1, 221 in descending order.\nAnswer: 3556, 221, 19, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -47\/110782 and 18\/17563?\nAnswer: 1440166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) 5.6  (b) 1\/5  (c) 0  (d) 5  (e) 9\/5  (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*p**2 + 29 + 360*p - 113*p + 3*p**2 + 5*p**2.\nAnswer: 5*p**2 + 247*p + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -50898.1 + 50898. Let c be ((-3)\/12)\/((-11)\/(-4)). Put c, -4, l, 5 in increasing order.\nAnswer: -4, l, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -141*p + 398 = -25. Solve -8 = 4*m + 4*b, -p*b + 4 = -2*m + b for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h**2 + 6*h + 1. Let o be t(4). Let p = -0.123 + -43.877. Let m = 43 + p. Which is greater: o or m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (26*36\/2106)\/(2\/3). Determine h, given that -y*h + 8\/9 - 2\/9*h**2 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 1 = -29. Let s be (3\/6)\/(2\/12). Suppose 0 = -v - s*j + 61, v + 341 = 6*v + 3*j. Calculate the highest common divisor of v and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(5 + -4*(2 + (sqrt(288) - (sqrt(288) + -2)) + -4)**2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -31 + 26*v - 10*v - 8*v. Calculate the remainder when r(15) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9950820602 to the power of 1\/2, to the nearest integer?\nAnswer: 99754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-11)\/(-4) - 6\/(-24). Let t be (-2 + 168\/9)*k. Let w = -22 + 32. Calculate the highest common factor of t and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 7*w - 7. Let r be ((-6)\/10)\/((-1)\/10). Let s be g(r). Calculate the greatest common factor of s and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-15 - -1 - 12) + -22 + 25.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 w when two letters picked without replacement from jwqkvaw?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 202\/13 - 10054\/637. Is -1 >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = 3*q, -5*q - 1 = -2*j - 8 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 77172852143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 25 - 18. Let k = w + -7.048. Round k to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 165432 and 2440?\nAnswer: 827160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - (-6 + (2 - 128\/(-24)))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (5*(sqrt(108) + 2))**2 + (-5 + sqrt(243) + -1)*1.\nAnswer: 609*sqrt(3) + 2794","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) be the third derivative of c**6\/1440 + c**5\/240 + c**4\/96 - c**3\/2 - c**2. Let f(m) be the first derivative of r(m). Let f(n) = 0. What is n?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*x + 2904*x**3 + 6*x - 2908*x**3 - 15*x.\nAnswer: -4*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1 + (-2)\/14*3. Let o = 10.98 + -11.48. Which is the nearest to 2\/3?  (a) 0.5  (b) o  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 2*t + 13 = 29, 8 = 4*t. Suppose f + p*f - 20 = 0. Suppose -m - f*i - 14 = 0, -4*m + 2*i + 32 = -0*i. Solve y - m*y = -10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 18 - 41 + 27*b + 25 + 2*b - 2 + 2 + (1 + 0 + 1)*(-b + 0*b + 2*b).\nAnswer: 31*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 2194880 to the power of 1\/2, to the nearest integer?\nAnswer: 1482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the third derivative of 0*p**7 + 0*p**4 + 0*p + 0*p**3 + 0*p**6 - 1\/6*p**5 - 1\/21*p**8 + 0 + 13*p**2. Find the third derivative of y(i) wrt i.\nAnswer: -960*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = f**2 - f + 2. Let z be h(0). Let r be (12\/16)\/((-1)\/8). Let b be (-8)\/6 + (-4)\/r. What is the second smallest value in b, 1, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*t**2 - 10*t**3 - 13 + 6*t**2 - 10*t**2 - 5*t**2 as f*t**3 + y*t + k + w*t**2 and give k.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -21\/2, -0.19, 7, 4, 1 in descending order.\nAnswer: 7, 4, 1, -0.19, -21\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -5*h**3 + 3*h + 4. Let c = 1102 + -1106. Let r(i) = -i**3 + 1. Calculate c*r(a) + p(a).\nAnswer: -a**3 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 170366 divided by -85183?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -222*w - 440*w + 9 + 13 - 13 to m*w + v and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -99 divided by -52.\nAnswer: 99\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 0.065839km?\nAnswer: 65839000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h = -3*o - 16 - 1, 5*h + 4*o + 10 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-1\/4))**48*(w**(2\/3)*w*w)**(-10\/9))**(-17) assuming w is positive.\nAnswer: w**(6868\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 126 = 2*z - 5*g + 130, 0 = 4*z - 2*g - 8 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6800 and 62800.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -11 * -361519\nAnswer: 3976709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00113388841 rounded to seven decimal places?\nAnswer: 0.0011339","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 515 = o - 2*q, 1035 = 2*o - q. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the third derivative of z**5\/60 + 2*z**3\/3 - 43*z**2 + 2. What is q(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = w**3 + w**2 - w + 11. Calculate the remainder when 43 is divided by u(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 13 + -8. Let w = 7 - f. Suppose j = t - 3*t + 10, 5*t - 16 = w*j. Solve -j*n + 1 = -n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(49)\/(sqrt(343)*1)*2.\nAnswer: 2*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 9913301773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = -3*m + m - 135, 4*t = -2*m + 194. What is the greatest common factor of 376 and t?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 659960.4m to micrometers.\nAnswer: 659960400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) be the first derivative of z**4\/54 - z**3\/9 - 4*z - 2. Let r(g) be the first derivative of w(g). Factor r(b).\nAnswer: 2*b*(b - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 39288.5049 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in k - 713*k**3 - k + 712*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Do 5645013 and 5645013 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8 - (14 - (-10 + 3))) + 12?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -l + 1. Suppose 2*w = 5*w - 3. Let y(q) = -29*q**2 - 13*q - 5. Let a(r) = w*y(r) + 5*u(r). What is the second derivative of a(o) wrt o?\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 224, 220, 214, 206, 196, 184?\n\"Answer: -k**2 - k + 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the first derivative of o**3\/6 - 20*o + 27. Let j(x) be the first derivative of k(x). Let m(r) = 9*r. Calculate -6*j(s) + m(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j**2 - 5*j + 3. Let l be (-8)\/12 + (-34)\/(-6). List the prime factors of t(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -201.9 - -202. Let i = 0.1 + -0.4. Which is the nearest to p?  (a) 5  (b) -4  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 20 - -33. Suppose 22*z = -34*z + 448. Calculate the remainder when w is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 6, u: 3, h: 1, e: 2, z: 4}. Give prob of sequence uhzu.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by 246673\nAnswer: -1\/246673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 8*q**2 + 9*q + 44. List the prime factors of f(-6).\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 4*i. Let z be s(1). Suppose 0*j + 2*j - 2*g + 2 = 0, -4*j = 2*g + 4. Let n be -1*(-3 + j + z). Solve -5 = f - n for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 4, m: 2}. Give prob of picking 3 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.038431 and -2.\nAnswer: 0.076862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that -2*f**3\/7 - 195592*f**2\/7 + 29972702*f\/7 + 4309756 = 0.\nAnswer: -97949, -1, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -15 - -3. Find the common denominator of -21\/20 and (-300)\/(-112) - 3\/a.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0 + -1*1\/5. Let m = -0.98 + -0.12. Let n = -0.9 + m. Sort h, n, -4 in ascending order.\nAnswer: -4, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 5, -159, -2991 in decreasing order.\nAnswer: 5, -4, -159, -2991","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is ((36\/(-6))\/(-6))\/(3\/(-9))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*o + 23 = 185 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -8 + 8 + -1 + 4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 340353451 to the nearest integer?\nAnswer: 18449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9856 is divided by 32?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 95 a factor of 10270358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2 - -48) + -24 + -7 - 6) + (1 - -30).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5 - -10. Let y be 10\/20*(-26 - 2). Let x be 18\/(-63) - 74\/y. Solve x*j = -0*j + r for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 224\/1455 - 2\/97. Let c be (-3)\/(-5)*4\/6. What is the biggest value in 0, c, k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -173 + 182. Solve 0 = 2*i + i + s for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4022 - 6*w - 7994 + 52*w + 4014 to the form u*w + l and give u.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -2*a**3 + 108*a**2 - 183*a - 283. What is y(52)?\nAnswer: 1017","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -66973 + 67028.994. Let m = 0.006 + c. What is the smallest value in -0.2, m, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 17 + -11. Let w be 0\/((-16)\/(-10) - (-26)\/65). Let v be 6*(i\/9 - w). Let l(g) = g**3 - 3*g**2 - 6*g + 5. Give l(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -2\/7, 58.9 in decreasing order.\nAnswer: 58.9, 2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 7146 and 919452.\nAnswer: 2758356","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 959117 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 24 - 21. Suppose -2*b - 75 = -7*b + 5*g, -p*g - 64 = -4*b. What is the remainder when 73 is divided by b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 29624390 - 29624344.4606944. Let r = 234.460742 + s. Let n = r - 280. What is n rounded to 6 decimal places?\nAnswer: 0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-34193)\/(-1488) - 23)*-6.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 97\/9186 and 11\/324?\nAnswer: 496044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33138 is divided by 1986.\nAnswer: 1362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 25052639*a*n**5 + 2749*a*n - 17*a - 39*n**2 wrt n?\nAnswer: 1503158340*a*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is (516057\/21 - (-42)\/49)*6\/10 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3429 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 5305 to the nearest 100.\nAnswer: 5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*z - 6*z - 10*z - 3*z - 13*z + 11*z.\nAnswer: -13*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) be the first derivative of -5*h**3\/3 + h**2 - 3*h - 14. Let z(l) = 14*l**2 - 6*l + 8. Let t(y) = -8*o(y) - 3*z(y). Solve t(v) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*-3*-2*sqrt(156)*2)\/((sqrt(300)*-2 + sqrt(12))*4*6).\nAnswer: -5*sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*k**2 - 36*k**2 - 10*k**2)*(-k**3 + 2*k**2 - 2*k**2).\nAnswer: 43*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10006273848 - 10006273848 - 2*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the first derivative of 7*q**4\/2 - 23*q**2 + 11*q + 1. Let w(n) be the first derivative of v(n). What is the first derivative of w(h) wrt h?\nAnswer: 84*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/13?  (a) 0.24  (b) -0.5  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oon when three letters picked without replacement from {o: 4, n: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 83, 80, 61, 14, -73?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**4\/3 + 27*o**3 - 1400*o**2\/3 - 1044*o.\nAnswer: -o*(o - 54)*(o - 29)*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -15 - -6fc?\nAnswer: 6e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*a*j**3 - 2*a*j**2 + 3*a - 5118*j**4 - 25*j**3 - 36*j**2 - j - 2138 wrt j.\nAnswer: -18*a - 122832*j - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Let q be 20\/(-21) - 2\/(-3). Let r = 0.0706 + -0.0706. Which is the closest to -2\/7?  (a) q  (b) r  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = a**2 + 2*a - 6. Suppose -t - 4*t = -200. Suppose -11*m + 661 - 166 = 0. Let b = t - m. Calculate n(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 30536?\nAnswer: 2, 11, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sum -11793 and -3403277.\nAnswer: -3415070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -6*v**2 + v - 2. What is p(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 3*x - 6. Calculate r(9).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 to the power of 1\/2, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 17 - 12. Let i be 1548\/54 - 4\/6. Suppose -x*r - i = -33. Is r less than 2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k + 2*k + 985 - 978 = 0 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 156388 is divided by 17373?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o - 2*o = -5*q - 20, -5*o + 8 = -2*q for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (-11)\/4*1908\/477 - -24\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11*w + 7 - 7)*(-1 + w + 1) - 67*w**2 - 148*w**2 - 139*w**2.\nAnswer: -343*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 990639 to the power of 1\/2, to the nearest integer?\nAnswer: 995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1\/((3\/420)\/1). Suppose m = -m + n. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7870, -15720, -23570, -31420?\nAnswer: -39270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -12*((-6)\/(-10))\/1*(-20)\/(-18)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -290402055 bigger than -290402055?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 104 - 98. Suppose -11*g = -m*g - 28500000. What is g rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = m + 4*m. Suppose 2*y = m*y - 16. Calculate the least common multiple of y and 22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 5*s = -14, 25*z - 22*z = -5*s - 7. Which is bigger: -12\/1669 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -129848 + 259693 - s**2 - 129828 - 5*s. What is b(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n*n*n\/n**(-9))**(9\/5)*(n\/n**(-17))\/(n\/n**(-25)) assuming n is positive.\nAnswer: n**(77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5 + -9. Let m = -0.13 - -0.11. Let k = 0.38 - m. Which is the third biggest value?  (a) k  (b) v  (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.5?  (a) 0.1  (b) 21  (c) -2\/5  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ixx when three letters picked without replacement from ixxxxxixx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -280*s - 6213. List the prime factors of t(-28).\nAnswer: 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b = -64*b - 95*b - 3297 for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 26377, 52953, 79529?\nAnswer: 106105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 5*f + 8. Calculate the least common multiple of (176\/20)\/(f\/(-10)) and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35483 - 0.15201334?\nAnswer: 35482.84798666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 + 158\/6)*(-106803)\/(-47468)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3 + ((-1)\/(-4))\/((-1)\/(-28)). Suppose -3*w + 3*u - 288 = 0, -5*w - u = -c*w - 472. Let b = 76 - w. What are the prime factors of b?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 5, -7, -19\/5 in ascending order.\nAnswer: -7, -19\/5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7.15 + -8.196. What is s rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 11 and 165?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 4 = 29. Suppose -22*p + a*p = 192. Calculate the least common multiple of 40 and p.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -440a5 (base 12) to base 15.\nAnswer: -1b9db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 6487729?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -122 by 61.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z**5\/4 + 183921*z**4\/4 + 183917*z**3\/4 - 551765*z**2\/4 - 459801*z\/2 - 91960 = 0. What is z?\nAnswer: -183920, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -15930 divided by 18?\nAnswer: -885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 + 2*f + 8\/5*f**2 - 2\/5*f**3.\nAnswer: -2*f*(f - 5)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 13 - 10. Let l(h) = -4*h**3 + 7*h**2 - 2*h - 5. Let q be l(z). Which is bigger: q or -57?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4  (b) -6\/23  (c) 1  (d) -7\/4  (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the third derivative of m**9\/252 + 37*m**8\/84 - m**5\/2 - m**4\/24 + 34*m**2. Find the third derivative of g(y) wrt y.\nAnswer: 240*y**3 + 8880*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -24*f**2 + 109*f**2 + 20*f**2 to the form q + a*f**2 + z*f and give a.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 336643 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9927, 40993, 93191, 166515, 260959, 376517, 513183?\nAnswer: 670951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 116906 by -25.\nAnswer: -116906\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -81, -164, -247, -330, -413, -496?\n\"Answer: -83*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 222510 to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(133) + sqrt(133) + (sqrt(133) - (sqrt(133) - (-2*sqrt(133) - sqrt(133)))*2) - sqrt(133))\/(sqrt(567)*-1).\nAnswer: 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 3*l + 218. Let h be (296\/12)\/(6\/(-9)). Let i be q(h). Which is smaller: 108 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 77 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2779 = 2*u + 485. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 120\/240*1162\/(-7)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 3*s. Let l(o) = -436985*o. Give f(l(g)).\nAnswer: -1310955*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-18)\/((-12)\/2)*3\/24*4\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 96 minutes after 11:28 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ffff when four letters picked without replacement from {f: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-55)\/10 + 3 - (7\/(-14) - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 6 + -4 + (-3 - (-7)\/2). Let n be 10\/4*1*-2. Put n, o, 3 in ascending order.\nAnswer: n, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes before 10:39 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*c - 11*c - 7*c.\nAnswer: -13*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = 12, 5*u - 2*u + 8 = w. Which is the second biggest value?  (a) w  (b) 2  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1689 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h**5 - 42*h**4 + 511*h**3 - 1182*h**2 - 4760*h = 0. What is h?\nAnswer: -2, 0, 7, 17, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*r + 2*u, 766*r - 3 = 770*r - u for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 94894591?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -29, -108, -241, -428?\nAnswer: -669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i - 10. Calculate f(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 17\/34*(144\/(-20))\/6?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2022425057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2035723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 145385.\nAnswer: 5, 29077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/((-13)\/(273\/14))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5 + -8. Let d be -2 + 2 + y - -6. Suppose 0*g = d*g - 57. Does 15 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*b + 1798433 - 436433 = 0. What is b rounded to the nearest 10000?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -45704 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(77)*-1 + sqrt(77)) - (3*sqrt(77) - sqrt(77))*-1)\/((3*sqrt(44)\/sqrt(2))\/sqrt(288)).\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 559 = 48*a - 257. Solve a*s = 41*s + 120 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:21 PM and 11:52 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -v**2 + v + 5. Let l be a(-3). Let j(h) = -5*h + 11. Let r(m) be the second derivative of m**3\/3 - 5*m**2\/2 + 39*m. Determine l*r(n) - 3*j(n).\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -46992297\/2 greater than -23496149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -2\/1153?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by 42?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 0.58467*0.0745\nAnswer: 0.043557915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 3343 (base 5) to base 6\nAnswer: 2105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 164\/(-4) - (83 + -114).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -11 - 6 + 17 - 2*h**2. Let d(g) be the first derivative of -g**4 + 4*g + 5. Let p(y) be the first derivative of d(y). Determine k(p(l)).\nAnswer: -288*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11, -26, -47, -74, -107, -146?\nAnswer: -191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 5 + 246\/(-42) - 7480\/28. Let w = 272 + i. Which is the closest to -3?  (a) w  (b) -4  (c) 2  (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 12, 737379 in descending order.\nAnswer: 737379, 12, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 84  (b) -0.5  (c) -3  (d) 2\/9  (e) -1.2  (f) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:58 PM and 7:18 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(272) + 5 - 3*sqrt(17)*-2 - (sqrt(153) + sqrt(153) + -2 + 0))**2 + 5.\nAnswer: 336*sqrt(17) + 1931","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -2 + 1 - 6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*w - 24 = 5*w. Solve -3*a + w = -1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44432 = 9*c + 18422. What is c rounded to the nearest 100?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 2*v - 4*v + 3*v**2 + 3*v. Let w be f(-1). Suppose 50 = w*n - 0*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) be the third derivative of 4*k + 0*k**3 + 0 - 7\/8*k**4 - 18*k**2 - 1\/20*k**5. Factor m(v).\nAnswer: -3*v*(v + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 5, 523, 1\/12, 1, 4, -4\/7, -0.4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 195 - 71. Suppose -456 = r*w - 132*w. Which is smaller: w or 58?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 75 = 5*q - 326, 3*q = -5*a + 511. Suppose -v = -6 - 4. Calculate the lowest common multiple of v and a.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 7 - 26 - 708*s + 17 in the form o + i*s and give i.\nAnswer: -708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5d - 26c7?\nAnswer: -2669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r - 123 = -5*y, -76 = -3*r + 2*y + 61 for r.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*(n\/(n**(-2\/45)\/n*n*n))\/n)\/n)**(2\/49) assuming n is positive.\nAnswer: n**(-86\/2205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 5*w - 8. What is n(-18)?\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23*m + 12*m + 10*m + 7*m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*d**5 + 102*d**4 - 369*d**3 + 258*d**2 + 372*d - 360 = 0. Calculate d.\nAnswer: -1, 1, 2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.26 or 2\/9?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that -3*r**5\/7 - 9*r**4\/7 + 174*r**3\/7 + 426*r**2\/7 - 189*r + 105 = 0.\nAnswer: -7, -5, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6321835?\nAnswer: 5, 13, 97259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3.1 + 0.9. Let f = -54 - -21. Let q = 299\/9 + f. Put -1, q, d in decreasing order.\nAnswer: d, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 11*d + 15. Let h(b) be the third derivative of 0*b + 0 - 5\/24*b**4 - 7\/6*b**3 - b**2. Calculate 13*h(l) + 6*w(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, -2\/3, -54 in decreasing order.\nAnswer: 0.2, -2\/3, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39 is divided by 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b. Let q(p) be the third derivative of -p**4\/4 - p**2. What is i(q(v))?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 21 + 67 + 0\/(-1) and 11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbbp. What is prob of picking 2 b and 1 p?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 329881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 57040369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 219 = 199. Suppose h - g = 4*p, -4*h - 8*p + 9*p = 29. Let i(v) = v + 9. Give i(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4 + -2c714?\nAnswer: -2c718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 26410 + -52215?\nAnswer: -22505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -80*u**2 - 573*u + 62. Determine y(-7).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 44 - 28 - (7 - -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2293 and -717.\nAnswer: -1644081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is (8\/20)\/(1\/(-5)) - -38 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -140 + 167. What is the remainder when 76 is divided by l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 43744623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does -293\/1999 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -3*k**3 + 4*k**2 + 7*k + 6. Let o(n) = -3*n**3 + 3*n**2 + 6*n + 5. Let z(s) = 6*o(s) - 5*v(s). What is z(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -a + 40. Suppose 5*x = -209 + 169. Let p be h(x). Calculate the highest common divisor of p and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -172996.5*7\nAnswer: -1210975.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/(y*(y\/(y**(-4)*y))\/y)*y**(2\/21))\/((y\/y**(-8\/11))\/y*y**(1\/25)))**(33\/2) assuming y is positive.\nAnswer: y**(-10603\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4061 = 5*l - 3*w, -2*w = -5*l + 2*w - 4058. Let m = 8057\/10 + l. Calculate the common denominator of ((-160)\/(-30))\/((-15)\/18) and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1972 + 778*n**3 - 49*n**3 + 98*n**3 + 889*n**3 + 1123 wrt n?\nAnswer: 5148*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18285 = 282*j + 513*j for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = -10*u + 20. Suppose 0 = h - r + 67, 2*h - u*r + 124 = -14. Let y = h + 57. Do -8 and y have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*z**2\/2 - 505*z - 7440.\nAnswer: -5*(z + 16)*(z + 186)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 378411\/5 + -76453. Let i = b - -772. Factor -2*n**2 - i + 14\/5*n + 2\/5*n**3.\nAnswer: 2*(n - 3)*(n - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 1. Let u(h) = h - 8. Let j(b) = -4*i(b) - u(b). Give j(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1320 - -1326. Let w(u) be the third derivative of u**5\/12 + u**3\/3 + 3*u**2. Let d(q) = -4*q**2 + q - 1. Let i(b) = 4*d(b) + 3*w(b). Calculate i(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the second derivative of -3*k**5\/20 - k**4\/6 + 5*k**2\/2 - 58*k. Let f(h) = 4*h**3 + 3*h**2 - 6. Let l(o) = -5*d(o) - 4*f(o). Calculate l(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 7*q - 5. Let j(n) = 4*n - 3. Let i(l) = 3*d(l) - 5*j(l). Let k(h) = -6*h - 1. Calculate -5*i(v) - k(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -z**2 + 8*z + 5. Let h be n(8). Solve 5*m - 10 = h*w, 4*m - 32 = -w - 3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -160 - -191. Suppose 20*r + 11*r = -h. Let m(o) = 2*o**2 - 2*o - 6. Let g(f) = f**2 - 1. What is r*m(j) + 4*g(j)?\nAnswer: 2*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 82\/45 and -13\/282?\nAnswer: 4230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 7274685 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Total of -106577306582 and -15.64.\nAnswer: -106577306597.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(5) + -4 - -5*(sqrt(5) + 0 - sqrt(5)))*5)**2.\nAnswer: 200*sqrt(5) + 525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000002615 to 7 dps.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*n + 21*n = 75. Suppose -2*b - n = 3*b. Let d be ((-12996)\/b)\/6 - (-2)\/(-5). What is the highest common factor of 9 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32617?\nAnswer: 13, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2026967.\nAnswer: 23, 88129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 35979 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*f + 15*f = p - 2124, 5*f + 6378 = 3*p. Is p a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -y**2 - 4*y - 10. Let x be u(-4). Let f(o) = -o**3 - 9*o**2 + 9*o + 5. Calculate the remainder when (54\/4)\/(1\/2) is divided by f(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 - -21 - 0 - (836 - 887)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 136058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-4)\/60)\/(2\/5)*-6. Is w smaller than 6\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = o**3 - o**2. Let f(j) = -4*j**3 + 12*j**2 + 6*j - 2. Let i(k) = f(k) + 5*s(k). Let z be i(-6). What is the closest to -6 in -0.5, z, 2\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/((s**(-2\/5)*s)\/s))**(-1\/2)*(s**(-2\/5))**(-49))**(-31) assuming s is positive.\nAnswer: s**(-5859\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -139\/444 and -13\/12?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -25 + 2 - (75 + (75 - 95))?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4176 and 62901.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*n + 175*n = -553*n + 17650 for n.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5394 = -7*u - 2740. Let m = -792 - u. What are the prime factors of m?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -693 (base 10) to base 3\nAnswer: -221200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1075*q + 2940 - 2940)*(21 - 4*q**2 - 21).\nAnswer: -4300*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/(-33))\/((2 + -6)\/(5 - -12 - 14)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 128 - 133. What is the third biggest value in -0.5, -1, -4, v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 45677.99 centuries to decades.\nAnswer: 456779.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3157915909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -h**3 - 21*h**2 - 2*h - 35. Let n be q(-21). Let a(i) = 2*i**2 - 3*i + 10. What is the units digit of a(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v**3 + 1433770*v**2 + 5735185*v - 7168950 = 0 for v.\nAnswer: -5, 1, 286758","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.025390842 to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -41, -30, -4 in ascending order.\nAnswer: -41, -30, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 256.47664 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 722*p**2 + 3071*p**2 + 719*p**2 - 4506*p**2.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 91 and 2093.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 13*m**2 + 3*m + 3. Let f be n(-1). Suppose -f*j + 17*j = 896. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -206*m + 3*m**3 - 6*m**3 + 6*m**2 + 164*m + 7*m**2.\nAnswer: -3*m**3 + 13*m**2 - 42*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -76 + 129. List the prime factors of i.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-3515)\/111 + 30)*(-1)\/(-5). Which is the biggest value?  (a) -0.2  (b) 39\/7  (c) r  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) be the third derivative of -1\/12*m**4 - 2*m + 0 - 25\/6*m**3 - 59*m**2. Give v(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 21, 1\/6, -107, 0, 2\/27?\nAnswer: -107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 205*i**3 - 4*i**2 + 3*i + 5. Let g(f) = 1027*f**3 - 18*f**2 + 14*f + 24. What is 3*g(k) - 14*z(k)?\nAnswer: 211*k**3 + 2*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = t + 6. Let p be (t - 2) + (0 - 0). Suppose -18 = -m + 4*g, g = -4*m - p*g + 4. Solve m*i = i - 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve r - 28 = -4*o - 13, 36*o - 6*r = 35*o + 35 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -72, -127, -204, -303?\n\"Answer: -11*w**2 - 22*w - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 60*l - 47*l + 91 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 184 - 184. Let v = 347.9 + -348. What is the closest to v in 0.03, y, -5\/2, 0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -i - 4. Let b be z(-8). Suppose -b*l = -0*l + 16, l + 7 = h. Suppose 7*p - 60 = h*p. Is 3 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 680 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y, 1 r, and 1 i when three letters picked without replacement from {r: 1, v: 2, d: 1, y: 2, i: 2, k: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -177, -178, -179?\n\"Answer: -v - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = -n + 6 - 45, 0 = i - 2. Let g(p) = 11*p + 4. Let v be g(7). Let k = n + v. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32967451.\nAnswer: 11, 19, 157739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -110*a**2*f**5 + 98*a**2*f**4 - 2*a**2*f**2 + 3704*a*f**2 - 2*a*f wrt f?\nAnswer: -6600*a**2*f**2 + 2352*a**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -4*n*q**2 + 2*n*q - 28518495*n*x + 397*n + 2*q**2*x**2 + q**2 + 35*q + 3 wrt x?\nAnswer: -28518495*n + 4*q**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 342012*b*h**2*p - 2*b*h*p - 2*b*h - 13597*b*p**2 - 3*h**2*p**2 + 10*h*p**2 wrt h.\nAnswer: 684024*b*p - 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 27730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 79817\/78 or 1023?\nAnswer: 79817\/78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -d + 5*f - 11, -6 = -2*d - f. Let j(h) = 23 - d - 23 - h**2 - 3*h. Determine j(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 23, 123, 391, 911, 1767, 3043, 4823?\nAnswer: 7191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3*(-3)\/((-12)\/244) is divided by -49*(5 + (-342)\/63)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = t**3 - 14*t**2 + 15*t + 15. Let l be i(15). Suppose 0 = 4*x - x - l. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3043?\nAnswer: 17, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*m + 27*m = -9. Calculate the greatest common divisor of 8 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 178 divide 42158751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 3*x + 83 = 0. Suppose -159*r + 246 = -549. What is the remainder when x is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1111001110010111 (base 2) to base 3\nAnswer: -10011112121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 5*z**2 + 5*z + 7. Let w(t) be the third derivative of -3*t**5\/20 - 3*t**4\/8 - 13*t**3\/6 + 2*t**2 + 509. Calculate -11*l(k) - 6*w(k).\nAnswer: -k**2 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 596645 to the nearest integer?\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -t**2 + 22*t + 56. What is r(24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -5, 4, -2\/21, 0.1, 0.124?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -3*v**3 + 6*v**2 + 6*v + 6. Let c be s(-6). Suppose -4*t - c = 86. Round t to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the first derivative of 1\/2*m**2 - 4 - 10*m. What is i(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3, -0.1, -0.3, -198, -5, -1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 963829240 to the nearest integer?\nAnswer: 31046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + -3 + sqrt(1872) + 1)**2*3.\nAnswer: -144*sqrt(13) + 5628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -676*i - 5*s + 43 = -675*i, 4*i = -40*s + 332 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/2 - 1\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the second derivative of -21*d + 2\/17*d**3 + 1\/510*d**5 + 7\/204*d**4 + 0 - 11*d**2. Let b(c) be the first derivative of z(c). Solve b(o) = 0 for o.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((160\/6)\/(-10))\/((32\/(-924))\/((-28)\/245))?\nAnswer: -44\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) be the second derivative of 3*p**5\/70 - 17*p**4\/28 - 113*p**3\/14 - 78*p**2\/7 - 2343*p. Factor n(z).\nAnswer: 3*(z - 13)*(z + 4)*(2*z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 311*c + 4997*c + 45 - 45 in the form l + b*c and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) be the third derivative of 13*w**5\/60 - 5*w**4\/24 - 16*w**2. Find the second derivative of b(r) wrt r.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(133)*1 - sqrt(133)) - sqrt(133) - sqrt(133)*4*6)\/(6*(sqrt(448)*-1 + sqrt(448)) + sqrt(448) - 6*-2*sqrt(448)).\nAnswer: -25*sqrt(19)\/104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3152, -25688, -86974, -206390, -403316, -697132?\nAnswer: -1107218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -o**4 - 23*o**2 - o**4 - o - 9 + 6*o wrt o.\nAnswer: -24*o**2 - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8939\/10 - 1787\/2. Solve -2*v + 12\/5 - y*v**2 = 0 for v.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -r. Suppose 3*u = -5*c + 8738 - 3120, 0 = 2*u - 2. Let f(q) = c + 6*q**2 + 8*q**2 - 1123. Determine w(f(l)).\nAnswer: -14*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -58 - -58. Which is the smallest value?  (a) -4  (b) v  (c) 0.3  (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -10 + 25 + -18 - (-44)\/2. Solve 5*g - y = -14 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 443602732 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 32412 and 1110.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33290*k - 5*v - 225 = -33291*k, 3*k - v = 31 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (24*(-4)\/(-160))\/(54\/(-20))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 6\/11, -0.1, 2, -56, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 27325\/2 or 13664?\nAnswer: 13664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -10041504 + -15?\nAnswer: -10041523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -13037\/20 + 653. Find the common denominator of (1 - (-41)\/6) + 1 and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/((-7)\/4)*(63\/450)\/(127\/5715)\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -19*w**2. Let g(t) = 565*t**2 + 25*t + 12. Determine g(c(q)).\nAnswer: 203965*q**4 - 475*q**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -24\/11 and -25\/1563?\nAnswer: 17193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -89\/688310 and 13\/68831?\nAnswer: 688310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 287984533.\nAnswer: 41, 367, 19139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -7 - -13. Suppose -2*w - 3*w = 0. Suppose -h + w*h = -7. Calculate the least common multiple of h and z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.6*177\nAnswer: -106.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -b**2 - b**2 + b**2 + 2*b**2 - 5*b**2 - b**2 + b**2 + 0*b**2 - 2*b**2 - 3*b - 2*b**2 + 3*b - b**2 + 2*b**2 + b**2 + (-3*b + 2*b - b)*(-3*b + 0*b + 2*b).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - -11) + 107 + -45 + 13 + 1.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = -3*s + 8*s + 1135, -3*z - 3*s = -711. Is z a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 520 minutes before 2:36 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**2 - 858*c + 184041.\nAnswer: (c - 429)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 25371\/16 or 1587?\nAnswer: 1587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {b: 7, q: 6}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2008.3932 + -2048.4. Let p = -0.014 - 39.986. Let s = p - i. What is s rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 111 - 2032?\nAnswer: -1321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-75)\/(-2)*14\/21. Suppose -3*q - 2*i = 257 + 95, -i = -3*q - 355. Let x = 120 + q. Solve -3*d - c = x*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that 2*t**4\/9 + 8392*t**3\/9 - 67264*t**2\/9 = 0.\nAnswer: -4204, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = -0*w - 52. Let f(g) = g**2 - 2*g + 9. Suppose 0 = 14*c - 10*c. Calculate the remainder when w is divided by f(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -p**2 - 4*p - 4. Let o(f) = -10*f**2 - 35*f - 35. Let j(s) = 4*o(s) - 35*v(s). Let u(l) = -19*l. Determine u(j(m)).\nAnswer: 95*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 130 a factor of 322913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) be the second derivative of -6*y + 5\/6*y**3 + 2*y**2 + 0 + 1\/12*y**4. What is the tens digit of f(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/23*207\/(-207).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6570 a factor of 134763840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 18346731 by -13.\nAnswer: -1411287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 706 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (3\/(-4))\/((-1)\/24). Let w be (-1048)\/(-6)*u\/75. Let k = 42 - w. Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/9 - 13\/((-351)\/102). Suppose -576 = l*y - 12*y. Is 36 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -13 - -1. Let n = 33 + a. List the prime factors of n.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f**3 + 12*f**2 + 9*f - 15. Let z be g(-11). Suppose -7 + 18 = 2*j - q, -4*q + 47 = 5*j. Is j at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 1\/18  (b) -6  (c) 1  (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -13 divided by -63\nAnswer: 13\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -11*v + 105. Let h(a) = 30*a - 280. Let y(s) = 3*h(s) + 8*w(s). Let t(l) = -296*l**2 - 13*l + 1. Calculate t(y(d)).\nAnswer: -1184*d**2 - 26*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2206334359.\nAnswer: 19, 971, 119591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(175) - -2*sqrt(175))*6 + -3*-2*sqrt(175))**2.\nAnswer: 100800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:57 PM and 8:37 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3.3 in 4, -0.5, -4.7, -2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 327085434 to the power of 1\/4, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 274328 and 3392?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n + 15 = p, 164*p = 169*p - 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*c - 0. Let k be (-1 + c)*(6 + 1). Let w(u) = -u**2 + 9*u - 10. Let v be w(k). Calculate the highest common divisor of 4 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {z: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 45963 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -3*l**2 - 142*l - 37. Let o be r(-47). Solve 7*h - 5*h + 5*y + o = 0, -4*h + 2*y = 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*f**2 - 5*f**2 + 0*f**2)*(f**2 - 2*f**3 - f**2) + (0 + 1 - 2)*(2 - 1 - 3)*(216 + 129*f**2 - 216)*(0*f + 0*f + f**3).\nAnswer: 268*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:38 PM and 2:17 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) be the first derivative of -14 + 0*o**2 - 13*o + 0*o**3 + 171\/4*o**4. Differentiate b(q) wrt q.\nAnswer: 513*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 58.81239 weeks?\nAnswer: 411.68673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 = -c, -2*r + 0*c + 30 = -0*c - 4*c for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 75*q**6*u + 3*q**5*u**3 + 14*q**2*u**3 + q**2*u - 3 wrt q.\nAnswer: 9000*q**3*u + 180*q**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 0 + 952 + (-9)\/(-9).\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -22 - 101b43?\nAnswer: -101b65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 914763 less than -1.23127?\nAnswer: -914764.23127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4646905?\nAnswer: 5, 929381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 126 and 1757.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 minutes after 8:12 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 0, 309, 6, -5, -4 in descending order.\nAnswer: 309, 6, 0, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 19849473*p**4 - 2*p**2 + 33530374*p wrt p.\nAnswer: 238193676*p**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3049?\nAnswer: 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 6446 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 10477.42um in centimeters?\nAnswer: 1.047742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = 17 - 7. Let t = 2 + x. What is the highest common divisor of t and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(153)*-4*1 + 2*sqrt(153)*-2)\/((sqrt(45)*2*-4)\/(sqrt(5) - sqrt(15)\/sqrt(3)*-5)).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/(-18)*-5)\/(6422\/(-19266)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 6515161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 3, -6, 561, -1, -5 in descending order.\nAnswer: 561, 3, -1, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t**3 - 12*t**2 - 4*t - 18. Give b(-12).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 6194.21166 minutes?\nAnswer: 0.614505125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 8*v**2 - 70*v + 80. Let w be n(-8). Is w at least as big as 1143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 2*h**2 + 48*h + 53. Calculate x(-23).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = -5*n - 145, -x + 400 = 4*x - 5*n. Calculate the greatest common factor of x and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 20\/(-5) + -6 - -5. Let k(q) = q**2 - 3*q - 5. Let u be k(4). Let c = u - m. Solve 9*z = c*z - f + 1, 3*z = -2*f - 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 6*u = 0. Solve q - 2 = -2*f - 6, 5*f - q + 24 = u for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 590, 539, 452, 329?\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3991*y**4 - 808 wrt y.\nAnswer: -15964*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:12 PM and 5:17 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*k = 82 + 215. Suppose 0 = f - 4*t - 16, 5*f - k = t - 10. What is the second derivative of 4*s + 2*s - 15*s**f - s - 4*s wrt s?\nAnswer: -180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 36*z**2. Let c(m) = -7*m**2 + 5. Let d(a) = -10*a**2 + 7. Let j(q) = 7*c(q) - 5*d(q). Give p(j(r)).\nAnswer: 36*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-320)\/(-120))\/2*(20\/8 + -2 + 0). Factor -50\/3 - b*p**2 + 20\/3*p.\nAnswer: -2*(p - 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.613 rounded to two decimal places?\nAnswer: -0.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5*a*g**3*v - 17087*a*g**3 - 2*a*g + 11*a*v - 3*a + 13*g**3*v - 2*g**3 - 119572*g**2*v - 4*g*v wrt g.\nAnswer: 30*a*v - 102522*a + 78*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + -1 + sqrt(2057) - (-1*(sqrt(17) + sqrt(17)*-1) + 4))**2.\nAnswer: -22*sqrt(17) + 2058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -a. Let b(t) = -408*t**2 - 421*t**2 + 1205*t**2 - 9*t - 402*t**2. Give b(g(q)).\nAnswer: -26*q**2 + 9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k**5 - 52*k**4 + 10632*k**3 - 249264*k**2 + 1900800*k - 4644864 = 0.\nAnswer: -96, 6, 16, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13027 is divided by 181?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 5*z + 7. Let r be x(-2). Let v be ((-4)\/r*18\/4)\/10. Let h = 69 + -1037\/15. Which is the biggest value?  (a) h  (b) v  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 - 3. Suppose 3*i - 364 + 118 = u. Calculate the remainder when i is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 a factor of 1714430452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s*s\/(s**(3\/8)\/s))\/s)\/s)**(-2\/27) assuming s is positive.\nAnswer: s**(-5\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 10871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 220675, 441372, 662069, 882766, 1103463?\n\"Answer: 220697*p - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -231*q = -221*q - 20. Let x(l) = 9*l + 5. Let z(w) = -4*w - 2. Determine q*x(m) + 5*z(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 - 4 - 662*d.\nAnswer: -662*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 2244036 to the power of 1\/2, to the nearest integer?\nAnswer: 1498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, y: 1, v: 1, j: 2, q: 1, e: 2}. Give prob of picking 1 v and 1 y.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*-1 - (-6)\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) be the first derivative of -211*t**4\/4 + 179*t**3\/3 - 306. Find the third derivative of d(r) wrt r.\nAnswer: -1266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 94 = -5*y - 2*w, -21*y - 13*y + 2*w = -30*y + 68 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = -5*g + 42. Suppose -3*o = -5*c - 14, g*c + 14 = o - 0*o. Suppose -p - 25 = 4*p. Which is smaller: o or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 2*d = 195. Suppose -5*p + 4*p + 4 = 0. Suppose -d = b - p*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 7 and -0.05799755.\nAnswer: -0.40598285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*l - 6*l + 10*l)*(2*l - 2*l + 6*l - 3*l + l + l + (1 - 4 + 1)*(2*l + 1 - 1) - 4*l + 2*l + 3*l).\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*m - 7*m. Suppose 0*d + 18 = 2*d - 2*q, m = -2*q + 2. Let j be 4*(2 - ((-27)\/6)\/(-3)). Solve d = -3*r + r + 4*o, -j = -5*r + o for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3\/5, -0.6, -0.63, 22.2, 2, -89?\nAnswer: 22.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 363291721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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: What is the greatest common factor of 343997706 and 1196?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3\/5  (b) -3  (c) 7  (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.03?  (a) 4\/9  (b) 2\/3  (c) 0.5  (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -453*a**5 - 8649*a**4 - 798*a**3.\nAnswer: -3*a**3*(a + 19)*(151*a + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2772430?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 18 in -5\/4, 1.3, -2, 1\/11?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4596781 to the power of 1\/4, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -101\/12 and 137\/966.\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -l**2 - 2*l + 3. Let m be o(-3). Suppose m = 4*w + 4, 2*w - 8 = -u - 4*u. Let x be (-1)\/(0 + 5\/15). Sort x, u, -5 in increasing order.\nAnswer: -5, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (5 - 6) + 21\/(-7). Which is the nearest to 0.085?  (a) 2  (b) u  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -62570 - -688269\/11. Let x be 2\/(-2) + (0 - 1). Let i be ((-36)\/7)\/(-3) + -2. Which is the biggest value?  (a) i  (b) y  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*d**3 - 2229*d**2 - 535920*d - 41124900.\nAnswer: -3*(d + 163)*(d + 290)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-2\/31)\/h*h)\/h*h**(1\/12) assuming h is positive.\nAnswer: h**(-365\/372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10021010200 - 100?\nAnswer: 10021010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -604740 divided by 100790.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/(-8) - (-3 + (-253)\/(-88)). Which is the fourth biggest value?  (a) z  (b) -2\/3  (c) 1  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24995 = -538*f + 81*f + 2602 for f.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-144)\/(-336) - (-13)\/(-63)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.4  (b) 0.1  (c) -5  (d) -2\/19  (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1269, -1181, -1093, -1005?\nAnswer: -917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is g in 3*g**2 + 2*g + 0*g**2 + 4*g - 3*g = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t + 2*t**2 + t)*(t**2 - 4*t**2 + 2*t**2) + t**4 + t**4 - 3*t**4 + (8*t - 73*t + 6*t)*(4*t**3 - 4*t**3 + 2*t**3).\nAnswer: -121*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40*j**3 - 110*j**3 - 28*j**3 - 156*j**3 - 127*j**3.\nAnswer: -381*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -142\/7 - -20. What is the smallest value in r, 1, 0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -16466, -32931, -49400, -65873, -82350, -98831?\n\"Answer: -2*j**2 - 16459*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 58, -0.5, 4, -5, -3, -5\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 91 (base 14) in base 15?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 305 minutes after 3:58 PM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 1 - 7 = 0. Let t(n) = -n + 3. Let q be t(g). Suppose 2*v = 1 - q, -4*s = v - 506. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 divided by 7235?\nAnswer: -14\/7235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = -6*i + 11*i. Calculate the greatest common divisor of 24 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that 36*j**4\/7 - 62416*j**3\/7 + 26984400*j**2\/7 + 8606592*j + 1722112 = 0.\nAnswer: -2, -2\/9, 868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4936989 years in months?\nAnswer: 5.9243868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 0 + 111000?\nAnswer: 111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (-9 + (-315)\/(-36))\/(39 + (-8316)\/224)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) 36  (b) -0.3  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2 - 208.\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-9)\/15)\/(4*(-8)\/320)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-16)\/(496\/(-31)))\/((-2)\/50))\/(-6)*6.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -24*k**2 - 2*k**3 - 132*k**2 - 2*k + 6*k - 15 + 156*k**2 as s*k**2 + y*k**3 + q + u*k and give q.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k - 50*r + 48*r - 15 = 0, 0 = -3*k - 4*r - 23 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(143) + sqrt(143) + (sqrt(143) - 4*3*sqrt(143) - sqrt(143)))*5*6)\/(3*1*(sqrt(1100)*-1 - sqrt(1100) - sqrt(1100))))**2.\nAnswer: 1300\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6 (base 7) to base 8.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 375417, 750836, 1126255?\n\"Answer: 375419*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2*(-3 - (-25)\/10). Let b(q) = -297*q - 3. What is the tens digit of b(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = 5*n - 13, -3*n - 3*b - 8 = -23. Is n > 3\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 286*-21\nAnswer: -6006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.87?  (a) 2\/21  (b) -59  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4506519.\nAnswer: 3, 101, 107, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 6*f - 5. Let p be (-18)\/(-16) - (-3 + (-150)\/(-48)). Let x be u(p). Calculate the highest common divisor of 1 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**2 - 3*r + 12. Let v be q(-5). Let d be v\/(-4)*516\/6. Let b = 62 + d. What is the greatest common factor of b and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 454 minutes before 8:24 PM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 62 divide 11975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4997?  (a) -3\/5  (b) 2  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.29 + 0.19. Let v = -0.5 - -0.5. Which is the closest to h?  (a) 3  (b) v  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5 - -5. Let b be -7*(-2 - (p - 0)). Solve -2*w - 2*w + 3*z = -14, -4*z - b = -3*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 16.6 and -0.0604403?\nAnswer: -1.00330898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -512 or -503?\nAnswer: -503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-4 + 1 - (-36 + 39)) + -24 + 20\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1122961 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -33 - -32. Which is greater: -1\/44 or m?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 3*z - z - 5 + z. What is the smallest common multiple of 22 and q(5)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the first derivative of -w**2\/2 + 2*w + 1. Let i be k(-2). Suppose -2*v - 7200000 = -i*v. Round v to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 27349672 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -32\/283581883 and -57\/4435.\nAnswer: 1417909415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = u**3 + 4*u**2 - 7*u - 4. Let j be h(-5). Solve j*d + 1 = 7*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*a - a + 0*a + 2*a - 3*a + 2*a + (a + 0*a + 0*a)*(2 - 1 + 0))*(-1560 + 271*a + 1560).\nAnswer: 813*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -363957*j**2 + j - 4416613?\nAnswer: -727914*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 345*v - 1067*v + 378*v + 346*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -3*d + 2. Let k(g) = -2*g + 2. Let j(i) = -4*k(i) + 3*l(i). Let c = 0 - -3. Calculate j(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = t**3 - 6*t**2 + t - 2. Let q be w(6). Let x be (-4)\/14 - 206\/14. Let b be (-1*1)\/(3\/x). Solve 0 = -3*r + q + b for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 26584 * 68.\nAnswer: 1807712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 0 - -100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2107 = 28*o + 1631 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0  (b) -5  (c) 2  (d) -2  (e) 3\/5  (f) -6864\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 - (-1 + 11 + (3 - 30)) - -12?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add 139293.21 and 0.82.\nAnswer: 139294.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -138 + 142. Which is the third smallest value?  (a) -1  (b) 107  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 65 = -3*t + p, -3*t + 4*p = -73. Is 23 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = k**3 - 51*k**2 - 21*k - 150. Does 34 divide g(52)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -5*n + 23. Let m(f) = 2*f - 8. Let d(l) = 8*m(l) + 3*s(l). Let z be d(4). Solve -2*b + z = 4*r - 11, r - 2*b = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 1306999*i**2 - 2*i - 1. Let b be (-1)\/3*((7 - -4) + -8). Let k be z(b). What is k rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*-2*sqrt(15)\/sqrt(5) + 2.\nAnswer: 2 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 16669 and 632?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-60)\/16*228\/57.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*z**2 + 480 - 490 - 28*z**4 + 2*z**2 wrt z.\nAnswer: -112*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4\/3 in -1033, -0.2, 7\/5?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Let z = 26 - 24. Suppose 44*p - 43*p - z = 0. Solve -j - 3 = y - 1, 0 = -2*j + p*y + 8 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*z**4 - 440*z**3 - 20604*z**2 - 209160*z + 230202 = 0. What is z?\nAnswer: -21, 1, 261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the second derivative of t**4\/12 - t. Suppose 0 = 7*f - 2*f + 3*j + 6, 0 = 2*f - 2*j - 4. Let n(r) = -4*r + f*r + 5*r - 7*r. Give w(n(i)).\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ccvyejcsseee. What is prob of sequence es?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4112722 and 460.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hzhh when four letters picked without replacement from gzhzzzzhghgg.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/2  (b) -8  (c) -2\/3  (d) 1\/3  (e) -68\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 37805 (base 12) to base 13\nAnswer: 28469","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.1142 less than 1307?\nAnswer: 1300.8858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -2 from -11594578583.7371.\nAnswer: -11594578581.7371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/520*-5*-10?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 92, 42, -70, -262, -552, -958?\nAnswer: -1498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 13 times -3.953\nAnswer: -51.389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -698\/7?  (a) 1827\/4  (b) -34  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6129, -12255, -18383, -24513, -30645?\nAnswer: -36779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*q - 7*q + 560. Let b = q + 203. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 20 and 4285.\nAnswer: 17140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -272*z - 1. Let u(p) = -92*p**2 - 16*p. Give u(q(t)).\nAnswer: -6806528*t**2 - 45696*t - 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 58 + -54. Solve d*h - s + 16 = 0, 3*s - 4 = 8 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*k - 32 = 9*k. Let t = k - 3. Let y = -1 + t. What is the remainder when 14 is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-6)\/12)\/(-1 + (-12)\/(-8)). Sort d, -4, 3, -2 in decreasing order.\nAnswer: 3, d, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -287*r + 11670 = -304*r + 616*r + 568*r for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0\/(6 - 1) - -2. Solve 4*w - 6*w = 4*u, -6 = t*w + u for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 94 - (2 + -2 + 0\/(-1)). Let l = q - 93. Solve -3*g + l = -8 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4 - -113820041?\nAnswer: 113820036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -4*h + 44. Let v be m(7). Suppose 2*z + v = -2*r, 0 = -4*r + 6*r + 6. Let f = 2 - 1. Which is the nearest to 1\/4?  (a) f  (b) z  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 223*g**4 + 892?\nAnswer: 892*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -2*f**3 + 45*f**2 + f + 562. Calculate c(23).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1540?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 2*c**2. Let l(h) = 3*h**2 + 34. Give f(l(x)).\nAnswer: 18*x**4 + 408*x**2 + 2312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 23397851507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1881715 + -0.33.\nAnswer: -1881715.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v**3\/6 - 7675*v**2\/3 - 1880336*v\/3 - 38701392 = 0.\nAnswer: -15102, -124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5246 divided by -5.\nAnswer: 5246\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:00 AM and 6:05 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -27\/40034?\nAnswer: -27\/40034","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 - 1 - 2)*(4*n - 5*n + 3*n)*(215*n**2 + 63*n**2 + 9*n**2) to s + q*n + v*n**2 + l*n**3 and give l.\nAnswer: 574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 44, 198, 458, 824, 1296, 1874, 2558?\nAnswer: 3348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -31 + 33. Suppose v*h = -0*h + 74. Does 8 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -3*l**2 - 437*l - 4813. Calculate g(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 45821603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*i**2 - i**2 + 293*i**3 - 567*i**3 - 290*i**3 - 738*i**3.\nAnswer: -1302*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 34*g + 11*g**3 - 26*g**3 - 20*g - 3 + 2 to the form h + j*g + c*g**2 + k*g**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1\/2)\/((-1)\/(-4)). Find the common denominator of 2 - (82\/(-44) + 1) and 95*b\/32 - 1.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 83677429.5 to the nearest one thousand.\nAnswer: 83677000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 3*(560\/(-30))\/(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 55674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -1*0\/2*-1. Let n(w) = -w**2 + 10*w - 9. Let b be n(9). Suppose -4*l + 5*z + 10 + 25 = m, b = -2*z + 2. Solve 4*s - 4*t - 8 = -0*s, 5*t = s + l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 70*v**3 - 2*v**2 + 2. Let q(w) = -69*w**3 + 3*w**2 - 3. What is 3*p(s) + 2*q(s)?\nAnswer: 72*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 1400 + 5935 = 0. Let z = m + -451. Suppose 12*t + 0*t - z = 0. What is the remainder when t is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1 - 4)*(-8)\/10. Let b(l) = 5*l - 13. Let n(m) = m + 4. Let y be n(5). Let d be b(y). What is the greatest common factor of o and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -440435 (base 10) to base 6\nAnswer: -13235015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 32*a**2*m + 21*a**2 - 2*a + 1429*m wrt a?\nAnswer: 64*m + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 * -587.271.\nAnswer: -587.271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-21)\/14)\/(3\/4) - -47. Let s = a + -38. Differentiate -s*p**4 + 7*p**4 + 11*p**4 + 1 wrt p.\nAnswer: 44*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1039.7200222 to the nearest ten.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that 54*b - 540\/7 + 2\/7*b**3 - 72\/7*b**2 = 0.\nAnswer: 3, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = j + 13. Let a be f(13). Let q = 51\/2 - a. Let x = 0.1 + 0.9. Put x, q, -0.4 in descending order.\nAnswer: x, -0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*p**3\/2 - 189*p**2\/2 + 3696*p + 34848.\nAnswer: -3*(p - 33)*(p + 8)*(p + 88)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4885)\/345 + (-67)\/(-201) - -14.\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 110001110100111100011 - -10?\nAnswer: 110001110100111100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 647367707 to the nearest integer?\nAnswer: 865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 2*g + 34 = 0, 2*p - 12 - 41 = -g. What is the remainder when 139 is divided by p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -41\/105 - 1\/105. Let m = 0.6 + -0.4. Which is the closest to m?  (a) d  (b) -3\/7  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -13*m - 1 + 1 - 6*m + 4*m + 3*m - 3*m + 2*m + 0*m - m + 3*m - 3*m + (-2*m - 2 + 2)*(1 + 5 - 5) - m + 3*m + 0*m.\nAnswer: -14*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 8 = -0*g. Suppose -4*m + 3*m = g*o - 52, -o + 2 = 3*m. Let n = 4 + -2. Calculate the lowest common multiple of n and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of (-25)\/(1100\/58069)*-4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*-5*(2 + ((sqrt(475) + 1*sqrt(475) + 2)*-5*-4)**2).\nAnswer: -22848060 - 480000*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -242550061 divided by -1373\nAnswer: 176657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 18004 divided by -6\nAnswer: -9002\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-2)\/(-4))\/((-61)\/(-732)))\/1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/(-2)*10\/5)\/((-4)\/800*5).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5 - 52?\nAnswer: -4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -386*u**3 + 4*u**2 + 12*u + 11. Calculate the remainder when k(-1) is divided by 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -11?  (a) -423  (b) -4  (c) 4\/7  (d) -0.2  (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 462 and 341.\nAnswer: 14322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in thirty-seven halves of a tonne?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3)\/(-1 - -3 - -2). Which is smaller: x or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2b (base 15) to base 10.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.1 and 690.\nAnswer: 690.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 102790, 411184, 925178, 1644772, 2569966, 3700760?\n\"Answer: 102800*k**2 - 6*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 8 = -7. Suppose 0 = w - v*x - 30, -4*w = 3*x - 5*x - 70. What is the remainder when ((-2)\/6)\/((-2)\/174) is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -101\/1085552 and -59\/18?\nAnswer: 9769968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8*n**3 + 1364*n**2 + 676*n - 680.\nAnswer: 4*(n + 1)*(n + 170)*(2*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -36*w + 174 + 6. Let u(t) = 7*t**2. Let n(i) = 8*i**2. Let g be 64\/(-10) - 4\/(-10). Give g*u(d) + w*n(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 3*x = -10. Suppose 3 - 13 = -5*p. Let f(r) = 0*r**2 + 3*r**p - 3*r**3 - 2*r + r**2. Calculate f(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*t**4 + 75*t**3 + 255*t**2 + 265*t + 90.\nAnswer: -5*(t - 18)*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -4*z + 23. Calculate i(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -3  (b) 3  (c) -68  (d) -0.3  (e) 1.365  (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1154 is divided by 201?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-1)\/3)\/(11\/(-198)). Suppose -2*v + 26 = f. Calculate the smallest common multiple of v and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence slnb when four letters picked without replacement from dlcnsslb.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 32*o - 3 = 29*o, -5*x = 5*o - 85. Factor -x*i - 8\/9 - 18*i**2.\nAnswer: -2*(9*i + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -y**3 - 12*y**2 + 3*y + 45. Let f be i(-12). Let o(n) = 7*n - 20. Calculate the remainder when o(f) is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 6*5\/(-10) - 6760\/(-18). Let i = a - 373. Does i = 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 19*t**2 + 7*t + 7. Is c(12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 229272748, 458545494, 687818240, 917090986, 1146363732, 1375636478?\n\"Answer: 229272746*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2953043342 to the nearest integer?\nAnswer: 1435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -256 - -376. Let a(w) = -w**2 + 12*w + 5. What is the remainder when z is divided by a(6)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = -4*r + 9, 6 = 4*r - t - 1. Let c be 4\/(-24)*2 + 840\/900. Find z such that -9\/5 + c*z**r + 6\/5*z = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4194, 552, -3094, -6744, -10398?\nAnswer: -14056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 18 + -27. Calculate the lowest common multiple of (-47)\/b - (-26)\/(-117) and 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 3\/4, -55, 2\/9, -0.3, -0.051 in ascending order.\nAnswer: -55, -0.3, -0.051, 0, 2\/9, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -a**3 + 6*a**2 - 3*a + 9. Let v be g(6). Let n(k) = -8*k - 1. Let t be n(v). Let j = t + -49. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58*a - 60 = 3652. Let i = -11 + 19. What is the greatest common divisor of a and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d + 5*g - 9 = 6*g, 251*g + 4 = 247*g for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i + 0*q + 5 = q, 0 = -i + q - 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2 + -2.2. Let y be ((-36)\/(-3))\/3*(-4 + 1780\/440). Sort 2\/3, 4, y, a in decreasing order.\nAnswer: 4, 2\/3, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/3, 0.4, -0.1, 0.5, 2650 in increasing order.\nAnswer: -2\/3, -0.1, 0.4, 0.5, 2650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -767 and 0.04328746?\nAnswer: 767.04328746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 89 + -79. What is the greatest common divisor of u and 1270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16719430 divided by -1286110?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = u**3 + 13*u**2 - 16. Suppose -5*y + 30 = 0, -4*s - 36 = -4*y + 40. Calculate o(s).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) be the first derivative of b**7\/7 - 11*b**3\/6 + 20*b + 7. Let h(o) be the first derivative of g(o). Find the second derivative of h(j) wrt j.\nAnswer: 120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -4, -2686, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) be the first derivative of -5*v**2 + 3*v - 152. Let t(q) = -13*q. Let o(d) = 25*d + 1. Let k(w) = -6*o(w) - 13*t(w). Calculate -11*h(m) - 6*k(m).\nAnswer: -4*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t**3 - 12*t**2 - 25*t + 26. Let z be p(-11). Suppose f - 3*n = -125, -55 = -f + 4*n - z. Let o = f + 243\/2. Is o equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 189*s**4 - 2161*s**2 - 26818*s.\nAnswer: 2268*s**2 - 4322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t, 2 p, and 1 z when four letters picked without replacement from {z: 1, w: 1, d: 2, t: 2, p: 4}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 51*p**2. Let f(r) = -2*r + 5. Let j(o) = o - 3. Let n(y) = 3*f(y) + 5*j(y). Give n(c(s)).\nAnswer: -51*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 100\/(-32)*(-47360)\/3700?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.03, -3, 1\/5, -2, 9 in descending order.\nAnswer: 9, 1\/5, 0.03, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 98 a factor of 5782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 take away -0.257?\nAnswer: 33.257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 + 6 - (-18626 - -7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.193 - -0.18974. What is s rounded to 4 decimal places?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32 - 632*h**2 - 32 + 645*h**2.\nAnswer: 13*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in three tenths of a hour?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 13627205 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 the third biggest value in -5, -4, 1, 704, 11\/16, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 112 - -23. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3 - -8. Let l = -2 + d. Find the first derivative of -2*f**3 - 1 + 4*f**l + 2 wrt f.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*j**6 + 3891*j**4 + 13016*j**3 - 3*j**2 - 43*j - 52120?\nAnswer: -480*j**3 + 93384*j + 78096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -39*r + 2. Let c(b) = 624*b - 33. Let p(s) = s**3 + 106*s**2 + 204*s - 414. Let x be p(-104). What is x*c(h) + 33*v(h)?\nAnswer: -39*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:26 AM and 12:35 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 36*t**2. Let k(v) = -16*v**2 + 26*v - 1. Let d(s) = 15*s**2 - 39*s + 2. Let o(m) = 2*d(m) + 3*k(m). Calculate o(c(w)).\nAnswer: -23328*w**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -384*t + 1287*t - 774 = 14577 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1137*h + 2247 - 1072 - 1169)*(3 - 1 + 0) to w*h + v and give w.\nAnswer: 2274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2 + -2)\/(-2)*-1. Suppose -h = -2*z + 2, -8*z + 10*z + 3*h = 18. Which is the nearest to z?  (a) -2\/13  (b) m  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 18150 and 11009790?\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 526*p + 10976. What is w(-18)?\nAnswer: 1508","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 59\/20 and -107\/690.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*k**4 - 4*k**4 - k**4 + (-2*k**4 + 2*k**4 - 4*k**4)*(-1 + 2 + 1) as c*k**4 + w*k**2 + h*k + q + x*k**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (187\/44 - 4)*-4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) be the first derivative of 2253*f**4\/4 + 627*f**2\/2 - 4*f + 307. Find the second derivative of u(x) wrt x.\nAnswer: 13518*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -97*p**2. Let y(a) be the third derivative of -3*a**4\/2 - 3355*a**2. Calculate j(y(h)).\nAnswer: -125712*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = p**3 - 25*p**2 + 167*p + 79. List the prime factors of k(41).\nAnswer: 2, 3, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-2)\/w)**(-17\/5)*(w**(-2\/5))**(-8))\/((w**(1\/10)*w*w*(w*w\/w**8)\/w)\/(w**(1\/4))**24) assuming w is positive.\nAnswer: w**(243\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the second derivative of w**7\/14 + 14*w**6\/15 - 23*w**5\/20 - 7*w**4\/3 + 10*w**3\/3 - 1860*w. Determine c so that o(c) = 0.\nAnswer: -10, -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*g - 39 - 11. Let y be (-4)\/g + (-13)\/(-5). Find the third derivative of -y*j + 2*j**2 - j + 4*j - 3*j**6 wrt j.\nAnswer: -360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5\/60*4)\/(1\/(-15))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29*z**2 + 93*z**3 + 35*z**2 - 64*z**2 - 117*z**3.\nAnswer: -24*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4680 and 563634?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 3\/5, -0.5, -2\/3, 5, 1\/4, 11070, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24602986?\nAnswer: 2, 19, 409, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2\/(-4))\/(1\/8). Suppose -5*f + 10*f + 5*x = -15, -3*f + 5*x = -15. Let a(r) = 4*r + f*r - 4*r - r. What is a(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -26*q**2 + 51*q**2 - 189*q**2 + (3 - 1 + 0)*(2*q - q**2 - 2*q) - 2*q**2 - 3 + 3.\nAnswer: -168*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 19 = -3*i, -2*w = -i - w + 2. Let l = -3 - i. Solve l = 3*j - 4*j + 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3053626, 3053625, 3053624?\nAnswer: 3053623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the third derivative of -o**7\/2520 - o**6\/80 - o**5\/20 - o**4\/4 + o**3 - 3*o**2. Let u(x) be the second derivative of q(x). What is u(-9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.11339 plus 11?\nAnswer: 10.88661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + -6*(-3*(-2 + 1 + sqrt(2)))**2 + -4 + -2*sqrt(2)*-2 + (1 + sqrt(2) + sqrt(2) + 5)**2 + 5.\nAnswer: -119 + 136*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 361169030?\nAnswer: 2, 5, 53, 681451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((q**(-4)*q)\/q)\/(q*(q**5\/q)\/q))**9)**(3\/11))**(4\/15) assuming q is positive.\nAnswer: q**(-288\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101100100 + 11?\nAnswer: 101100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2 - 3. Let q be c\/(-2)*(1 - -5). Suppose s - 2 = 1, q*s + 96 = 5*g. Is g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2181310 to the power of 1\/3, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 286226525 to the nearest integer?\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/5 of a kilometer in meters?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 28\/1909 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 + 20817*s - 8 + 3.\nAnswer: 20817*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -12 - -848707?\nAnswer: 848695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0597293354 rounded to 6 decimal places?\nAnswer: -0.059729","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*y + 7*y = -5, 5*p + 3*y = -75. Let a(i) = -i**2 - 19*i - 3. Give a(p).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve -5427 = 395*d + 1626 + 57 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -8090, -2, 4 in ascending order.\nAnswer: -8090, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 5  (b) 0.3  (c) -6  (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27*y + y**2 - 27*y - 71 + 71.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b, 1 m, and 1 r when three letters picked without replacement from brimiqeb.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 5 - 4 + (-4 + 5 + 1)*(1 - 3 + 1))*(0*d**3 - d**3 - d**3) to b*d**3 + h + s*d**2 + i*d and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 642701 smaller than 642701?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (37\/(-5994)*-18)\/(38\/(-12))?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 9*s + s**3 - 18*s**2 + 0*s**2 + 2*s**2. Let j be q(15). Find the common denominator of (-2)\/42*j\/12 and 91\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5429.52838 + 961?\nAnswer: 6390.52838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3019684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6951*n**2 + 5952*n**4 - 726*n**4 - 1857*n**2 wrt n?\nAnswer: 125424*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 10634272 to the nearest integer?\nAnswer: 3261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -876 - -879. What is the greatest common factor of 412 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 2 = -6. Suppose -v + t + t = -u, 4*v - t = 1. Let r(c) = -c - 2. Let i be r(-4). Solve i*b - 6*b = v for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.073292477 to 4 dps.\nAnswer: -0.0733","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: What is next in -900, -818, 252, 2298, 5308, 9270, 14172?\nAnswer: 20002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 5, c: 2, y: 5, a: 1, h: 5, b: 1}. Give prob of picking 1 f and 1 h.\nAnswer: 25\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 437 + -1133. Let w be d\/(-44) + 2\/11. Suppose u = -3*u + w. What is the second smallest value in -0.3, u, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 131967060 a multiple of 1878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let -30344*o**3\/3 + 113806*o**2\/9 - 22778*o\/9 + 4\/9 = 0. What is o?\nAnswer: 2\/11379, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (17 - (-27 + -14)) + -31.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 5, j: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -5  (b) -11  (c) -4  (d) 3  (e) -3948  (f) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 9 = -4*h, h - 4*h - 9 = 3*w. Let q = -2 - h. Suppose 3*s - 167 - 43 = q. What is the highest common factor of s and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 11*m*n**2 + 4*m*n - 3*m - 570*n**2 + 15*n - 1 wrt n?\nAnswer: 22*m - 1140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 * -325810525\nAnswer: 97743157.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -104 divided by 2\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 62129 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -g + 3*g - 2 + 2. Suppose -2*o = -3*l - 0*l - 23, -5*o + 4*l + 40 = 0. Let f(c) = 3*c**2 + 5*c**2 - 6*c**2 - o*c**2. Give i(f(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -1642*d + 6548. Give j(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-7)\/(56\/(-24)))\/((-4)\/2)*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*1*(-8)\/16*2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3264\/1768*208\/(-32).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:48 PM and 4:34 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 - (-3 + 6) - (-1962 + 1969).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -106 - -221. Does 17 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1175 and -37.\nAnswer: 43475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -39 - -66. What is the remainder when (-2 + -24)\/((-18)\/72) is divided by m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -6 - 4751692?\nAnswer: -4751698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 93886 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhhinhhhhhnhhhnhhnnh. Give prob of sequence hihh.\nAnswer: 91\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 - 0.1. Let z = -3.247 - -0.247. Sort -1\/6, z, q in descending order.\nAnswer: q, -1\/6, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*f**4\/4 - 105*f**3\/2 + 5643*f**2 - 140118*f + 1086096.\nAnswer: -3*(f - 22)**3*(f + 136)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the first derivative of o**3\/3 - 7*o**2\/2 - 4*o + 10. Calculate n(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-111)\/(6882\/496))\/(2\/((-4)\/(-2))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 43963965 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.2  (b) -1\/3  (c) -11  (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 276980?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*v - 5*k = 4*k + 21, 21*k = -2*v + 17*k - 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 26\/9 + -7\/18. Let p = -4 + 5. What is the closest to p in -1, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (15 + 22*s - 15)*(23*s + 7*s + s**3 - 40*s).\nAnswer: 22*s**4 - 220*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -0.2  (b) 2\/7  (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d**2 + 6*d + 2. Let y be f(-6). Let z be (-7)\/(-7)*(y + 1). Solve z*x - 9 = 3 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 0.3  (b) -0.4  (c) 1\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -207222, -206364, -205504, -204642?\nAnswer: -203778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 - (5 + -7 + -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.3  (b) 0.9  (c) -3\/8  (d) -0.5  (e) -152\/175\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*j**2 - 153 + j**3 + 2*j**2 + 18*j**2.\nAnswer: j**3 - 2*j**2 - 153","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y - 14. What is o(-10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/((-1)\/1)*((-420)\/15)\/(-14)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Total of -39383547124 and 12.\nAnswer: -39383547112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11001 - -1010001101011?\nAnswer: 1010010000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Product of 20 and 4241227.\nAnswer: 84824540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(2\/7)\/((q*q**(-2\/3))\/q)*(q\/(q**(1\/9)*q))\/(q**6*q))**(4\/7) assuming q is positive.\nAnswer: q**(-1552\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -4*z - 1. Suppose -28 = -0*h - 2*h. Let m(k) = -9*k - 2. Suppose 6 = -2*o - 2, b = 4*o + 26. Let x = b - 16. Determine h*c(s) + x*m(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d = -3*t + 16, 412*d - 4 = 409*d - 2*t for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 552*v - 15455 = -80*v + 9825 for v.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.016 * 86979.\nAnswer: 1391.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*d**5 + 133*d**4 + 3*d**2 - 11*d - 26?\nAnswer: 40*d**3 + 1596*d**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -66 or -647\/10?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = c - 86 + 730, -5*p + 5*c = -820. Let n = p - 110. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the first derivative of 178*b**3\/3 - 17*b**2\/2 - 5. What is the second derivative of m(x) wrt x?\nAnswer: 356","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -26  (b) 1\/3  (c) -4  (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1484*d + 553 + 1472 = 1249*d - 560 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**10*x*x*x**(-1))\/(x**1\/x*x)**(-47) assuming x is positive.\nAnswer: x**58","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.002877011115 rounded to seven dps?\nAnswer: -0.002877","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**39)**(-16\/9)\/(y*y\/((y**(-2\/41)*y*y)\/y)*(y\/(y*y\/y**45))\/y) assuming y is positive.\nAnswer: y**(-13946\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 75 - 47. Suppose -3*w - a = -85. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7\/57716 - -577097\/519444. Determine c so that -w - 2\/9*c**2 + 4\/3*c = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 217*t**6 - 12*t**5 + 2*t**4 + t**2 + t - 1682 wrt t?\nAnswer: 26040*t**3 - 720*t**2 + 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -9*c**3 + 3*c**2 - 6*c. Let m(t) = -t**3 - t. Determine h(f) - 6*m(f).\nAnswer: -3*f**3 + 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 22040 + -7303. What are the prime factors of b?\nAnswer: 14737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) be the third derivative of 0*v**3 - 1\/4*v**5 + 0*v + 0 - 2\/15*v**6 + 26*v**2 + 0*v**4. What is the third derivative of h(q) wrt q?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 5552, 11105, 16658, 22211, 27764?\n\"Answer: 5553*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u*(u\/u**(-3))\/u*u)*u**(4\/9))\/(u**1)**(-2\/7)*(u**4\/(u\/u**(1\/3)))\/(u**1)**(2\/63) assuming u is positive.\nAnswer: u**(2\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -50 + 69 - 44 - k to v + y*k and give v.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*n**3 + 4*n - 12*n**4 + 21*n**4 - 11*n**4 - 2 to k*n**4 + o*n**3 + f*n**2 + w + j*n and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -46 - (33 + -150) - 42.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 2718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 117\/5 + (-2)\/5. Let t(z) = -34513*z**2 - 15*z - 9. Let y be t(m). Let n = y + 27957731. Round n to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 7*v = m - 87, 83 = -5*v - m. Let f = v - -31. What are the prime factors of f - 1\/((-3)\/(-9))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -12 or 0.26?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 518 = -4*o, -251 = -5*n - o + 282. Let q = n - -106. What are the prime factors of q?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 51\/(-18) - (-3)\/(0 - -1). Let k(p) be the second derivative of 0 + 0*p**2 + 0*p**3 - 2*p - h*p**4. Let q(v) = v. Give k(q(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -83\/99 and -73\/2401443.\nAnswer: 2401443","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: 0 + 32115428.471\nAnswer: 32115428.471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -24 (base 14) to base 11.\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 419151?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.003157367 rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 1*518039\nAnswer: 518039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is (-419705)\/(-143) - (1 - -11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the first derivative of 2 - 22*y**2 - 20*y - 8\/3*y**3. Factor j(q).\nAnswer: -4*(q + 5)*(2*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -f + 7*g + 12, -2*g + 76 = 5*f + 90. Put f, 2, 1, 87, -3 in increasing order.\nAnswer: -3, f, 1, 2, 87","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5.5 - -6.5. Let c = u + -12.0135. Round c to 3 decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -22 (base 8) in base 15?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -130*g - 10. Suppose -2*r + 5*r + 18 = 5*n, 6 = 2*n. Let f be (r\/(-3))\/(2\/(-18)). Let m be o(f). What is m rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + (-1 + 2 - 3) - (310 + -308)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from illllilliillli. What is prob of sequence illi?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 513*q - 4. Let b(w) = -257*w + 2. Determine -13*b(n) - 6*p(n).\nAnswer: 263*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -3\/22  (b) 484  (c) -0.2  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*t + 3*t - 1575. Does 2 divide (-4)\/(-26) + t\/65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -71, -276, -629, -1142, -1827, -2696, -3761, -5034?\nAnswer: -6527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = j - 20, -3*u + 6*u = 3*j - 24. Find the third derivative of -j*p**6 + 8*p**6 + 10*p**2 + 10*p**6 - 4*p**6 wrt p.\nAnswer: 1200*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -j**4 - j**2 + j - 1. Let f(i) = -67*i**4 + 42*i**2 + 4*i - 4. Let y(w) = f(w) - 4*g(w). Find the third derivative of y(s) wrt s.\nAnswer: -1512*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that 2*z**2 + 48956560*z + 299593095879200 = 0.\nAnswer: -12239140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 6*h - 2. Let b(u) = 14*u - 4. Let l(i) = 2*b(i) - 4*t(i). Suppose -3*y + y = z - 5, -4*y - 3*z = -7. Let q(d) = -d**2 + 3*d. Give y*q(s) - 3*l(s).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 2659737 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m**3 + 851*m - 3440. Let n be c(0). Is n > -3439?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, q: 12, p: 2, b: 1, c: 2}. What is prob of picking 1 b and 1 p?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 35*f + 33. Let v be b(-1). Let l(z) = 4*z. Determine l(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2*(-7)\/7)\/(80\/15).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -44070, -88129, -132178, -176211, -220222?\nAnswer: -264205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -92*s - 6. What is the units digit of c(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-5)\/(10\/12))\/(-2). Let d be (2 + f + -5)*1. What is the units digit of (6 - (d - -1)) + 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1098 and 9421938?\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((15*(-2)\/36)\/((-20)\/752))\/2?\nAnswer: 47\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 3188, 6107, 9190, 12437, 15848, 19423?\n\"Answer: 82*d**2 + 2673*d + 433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5560209815 - -102.\nAnswer: 5560209917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2157701174 to the nearest integer?\nAnswer: 1292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -255164.533 to the nearest 1000.\nAnswer: -255000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = -5*v + 4*v - 7, 5*d - 5*v = 5. Let b = d - -29. Let p be ((-9)\/b)\/(2\/(-4)). Is p < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3, 10, 19, 36, 67, 118, 195, 304?\nAnswer: 451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 106*n = 99*n + 21. Suppose -2\/9*j - 1\/9*j**n + 0 - 1\/3*j**2 = 0. Calculate j.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*x - 11*x + 141*x - 2479110 = 0. Is x a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13*-4*550\/(-28600).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l - 4 = -4*x, 0*l - 4*x - 11 = -l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8 + -13. Let w = 0 + 0. Suppose -7 = -2*i - 3*n, 3*i + i + n + 1 = w. What is the smallest value in i, 2\/15, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8*w**5 + 28*w**5 - 39*w - 5*w**5 - w**5 wrt w?\nAnswer: 280*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -262357, -2098874, -7083701, -16790992, -32794901, -56669582, -89989189, -134327876?\nAnswer: -191259797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p = -3*f - 4*p + 30, 2*f - 3*p = 3. Suppose -f*o + 3028 = -10178. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*m - 1 + 5*m + 2*m**2 - 1 + (-2 - 8*m + 2)*(7*m - 9*m + 6*m))*((2*m - 1 + 1)*(-3 - 4 + 5) + 4 + 13*m - 4).\nAnswer: -270*m**3 + 18*m**2 - 18*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -3*d - 3 + 81*d**3 - d**2 + 9*d**2 + 13*d - 82*d**3. What is r(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f**3 + f + 1. Let w(o) = 266*o**2 - o**3 - 1 + 252*o**2 - 518*o**2 - o. Determine -6*u(s) - 5*w(s).\nAnswer: -s**3 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uqjykyq. Give prob of picking 1 y, 1 j, and 1 q.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 7920552 and 1320092?\nAnswer: 7920552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 77956346.\nAnswer: 2, 13, 59, 89, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 16982 and 21742?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 140*p*s*w - 6*p*w + 4*p + 5*s*w + 9*s + 1172*w with respect to s.\nAnswer: 140*p*w + 5*w + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -6*(-5)\/10 - 0. Determine l, given that -2*l**2 + y*l - 4 + 11*l - 2*l**2 - 6*l**2 = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0\/86 - 2\/20?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 - -731?\nAnswer: 1091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 2*c = 5*h + 305, -h + 399 = 4*c. Let r(s) = s**2 - s. Let u be r(2). Suppose 3*p + u*p = c. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 4\/11, -13.1, -22, -2\/111?\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 7097.283mg?\nAnswer: 7097283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 46 = 1. Let m(k) = k**2 - 10*k + 10. Let j be m(a). Is ((-110)\/(-8))\/(j\/4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -41 - -44. Solve l = -3*l + j*y - 6, -5*l + 5*y = 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -16, 0.1, 0.04, -4 in decreasing order.\nAnswer: 0.1, 0.04, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3 + 8. Suppose -5*c = -o - 0. Suppose -2*r = 3*b + 12, 2*b - 5*r = 9 + 2. Sort c, b, 0 in ascending order.\nAnswer: b, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-g - 1 + 1)*(-5*g**2 + g**3 + 5*g**2) - g**4 - 3*g**4 + 3*g**4 + (0*g + 5*g - 3*g)*(g - 3*g**3 - g) as c*g + z*g**2 + h + i*g**4 + o*g**3 and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 50*j + 564. Let q be i(-11). Suppose -4*b - 8 = -8*b, g + 5*b - 12 = 0. What is the greatest common divisor of q and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3 + -2. Solve -4*x - 3 = -5*w + c, 3*w = 4*x + 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4385147 divided by -260?\nAnswer: 337319\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 582 + 0.338\nAnswer: 582.338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*m + m + 3*m - 4 + (3 - 2 + 1)*(-m - m + 3*m) + m + 3*m - 3*m + m + 3*m - 2*m - 1 + 2*m + 1.\nAnswer: 9*m - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*w + 10 = -19*w. Let z be (w\/5)\/(1\/(-10)). Factor 55*b**2 + 4*b**3 + b**3 + 60*b + 53 - 33 - 15*b**z - 5*b**5.\nAnswer: -5*(b - 2)*(b + 1)**3*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -3*a - 4. Let q be h(-3). Suppose 3*d + 0*d + 8 = -q*n, 0 = 4*d + 5*n + 4. Suppose d*j = 2*t - 2, 4*t - 4*j = -2*j + 10. Solve -2*w + 3 = -t for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.982 to one decimal place.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.854583 rounded to 2 dps?\nAnswer: -0.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 4 = 0, 5*o + 19 = -t + 110. Let q(m) = -m + 16. Let g(r) = 1. Let k(c) = -2*g(c) + q(c). What is the least common multiple of o and k(0)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 507966308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1775 - 6445 = 3*v. What is v rounded to the nearest 100?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(1377)*5 + (sqrt(1377) + 4 - sqrt(1377)) + -1.\nAnswer: 1 + 45*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2553 and 48063.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = p + 14. Let g be i(-12). Suppose -g*m - 3*m - 3*f = -88, m - 16 = -f. Solve -3*a = 2*a + m for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + (66 - (5 + (21 + -14 + 2 - 9)))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -522314110 (base 6) to base 11.\nAnswer: -513a591","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = -4*o - 895 + 2921, -3*d + 2*o = -3071. Calculate the remainder when d is divided by 116.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 887 - 889. What is the second biggest value in 4, -2\/11, 11, u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8 + 23. Suppose -2*b + 5*h + 23 = -f, 5*b = -2*h + 77. Find the second derivative of -8*l**2 + b*l**2 + 11*l**3 - 9*l**2 + 13*l wrt l.\nAnswer: 66*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2572366 by 111842.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 119\/220 and 38\/5?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -2*y - 4. Let m(d) = d + 3. Let u(p) = 5*p**2 + p. Let x be u(-1). Let k(t) = x*m(t) + 3*h(t). Let g(s) = s. What is g(k(q))?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = o**2 + 4*o - 5. Let i be v(-4). Suppose 1716 - 288 = 308*g + 49*g. Sort g, i, 3, 23 in decreasing order.\nAnswer: 23, g, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/(-16) - (-42)\/48. Is -0.4 >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5783873.\nAnswer: 71, 81463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c**3 + 17*c**2 - 13*c + 3. Suppose 2*d - 79 = 7*g - 12*g, 2*g = -2*d + 34. What is the units digit of v(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14487152.\nAnswer: 2, 83, 10909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 791*p**2 + 7*p**3 + 10*p**3 - 6 + 6*p**3 - 26*p**3.\nAnswer: -3*p**3 + 791*p**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2766032 + 2766110.99959. Let g = 0.094 - -78.906. Let v = w - g. Round v to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*t**4 + 0*t**4 - 2*t**4)*(-5 - 12 - 25)*(t - 3 + 3).\nAnswer: -42*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 413015, 826031, 1239047, 1652063, 2065079?\nAnswer: 2478095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 3*d + 5. Suppose -12 = -c - 0*c. Calculate the remainder when c is divided by n(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15\/(-25))\/(27\/15)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*p**2 + 2*p**2 + p**2 + (-4*p + 0*p + 0*p)*(2*p + 0*p + p) - 2*p**2 + 3*p**2 + p**2.\nAnswer: -13*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-24120)\/(-9045))\/((-11)\/(-9))?\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 86744 is divided by 210.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4 + -1. Solve -5*j = -z*y - 0*j - 11, -7 = -y - j for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 408\/(-1598)*113\/(-678).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3933308 to the nearest integer?\nAnswer: 1983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -70 - -86. Is a > 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2699920564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -111 + -103020113?\nAnswer: -103020224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 927, 926, 925, 924, 923?\nAnswer: 922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s**3 - 2*s**2 - 2*s + 1. Let k be a(3). Determine v so that 27*v - 90*v**2 - 6*v**3 + 90*v**3 + 54*v**3 - 99*v**k - 3 + 27*v**5 = 0.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:27 PM and 4:08 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(175) - -4*(sqrt(175) - (sqrt(175) + -1)))*-4)**2*-5 + (2 + (sqrt(175) - (sqrt(175) + -1)) + sqrt(175)*-3*-4)**2.\nAnswer: -2840*sqrt(7) + 9929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.173176 - 0.172. What is y rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -469, -506, -543, -580, -617, -654?\nAnswer: -691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*l = 12*l + 81. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q**3 + 10*q**2 - 14*q - 14. Let m be f(8). Solve x - m*z = -1, 3*x - 3*z + 14 = 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -98 + 104. Suppose 9*i = 3 + 24. Let v be 0 + 1 + 5 - 3\/1. Solve -a*y + 3*j = -i*y + 12, -8 = v*y + j for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 436705, 436706, 436707?\n\"Answer: j + 436704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + (sqrt(1573) - -6*(sqrt(1573) + 0)) - -2*(sqrt(1573) + (sqrt(1573)*-1 + sqrt(1573))*-2))*-2)**2 + -5.\nAnswer: 509647","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -7*g**3 - g**2 + 1. Let t be o(-1). Let p(h) = -h**2 + 9*h - 9. Let j be p(t). Let r = 0.08 + -3.08. What is the second biggest value in j, r, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 227 + -230. Suppose 16*u = 25*u - 27. Which is the nearest to 0.15?  (a) -0.2  (b) 5  (c) u  (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -15*64\/11520*21\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 148062?\nAnswer: 2, 3, 24677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -107, -102, -103, -116, -147, -202, -287, -408?\n\"Answer: -x**3 + 3*x**2 + 3*x - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.3 and -0.13.\nAnswer: -0.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00016059 plus -0.06?\nAnswer: -0.05983941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/4 of a kilometer in meters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of f**5 - 48*f**3*l**2 + f*l**2 - f - 12*l**2 wrt f?\nAnswer: 20*f**3 - 288*f*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 118936493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v*v*v**(1\/13))\/(v**(-2\/7)\/v) assuming v is positive.\nAnswer: v**(397\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eph when three letters picked without replacement from veehp?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -6 - 2688?\nAnswer: -2705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -2*v**3 + 50*v**2 - 4*v + 94. What is g(25)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 8, 24, 44, 68, 96, 128, 164?\n\"Answer: 2*l**2 + 10*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -2\/545, 10, 2.2 in increasing order.\nAnswer: -2\/545, 2.2, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7172, -7164, -7152, -7136, -7116, -7092, -7064?\nAnswer: -7032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/(-5 - 70\/(-15)). Suppose 0 = 3*i - 2*i - 20. What is the tens digit of 11\/((-68)\/i - -4)*p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w - 5*w - 10 = 0, 57 = i + 5*w. What is the remainder when 121 is divided by i?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*g**3\/2 - 727*g**2\/2 - 4363*g - 1144 = 0. What is g?\nAnswer: -8, -11\/41, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2412*t + 2411*t + 5*h - 1, -4*t + 5*h = 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 68\/4 - (1 - 2). Suppose -2*u = 5*n + m, -3*u + 5*u + 6 = -2*n. Solve 0 = a + 3*d - 7, -5*a + 2 - u = -2*d for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 15*l**2 + l + 104. Let b(p) = -4*p**2. Give g(b(f)).\nAnswer: 240*f**4 - 4*f**2 + 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 50 + -24. Let o = f - 10. Let i = o - 15.9999926. What is i rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7447 + 7527. Suppose 4*n = -o + 29, 3*o + 3 = n - 1. What is the derivative of -37*c + f*c + 5 - n wrt c?\nAnswer: 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -812.61 + 809. Let n = i - 0.39. Put 0.2, n, 0 in descending order.\nAnswer: 0.2, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2737 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4 or -247672?\nAnswer: -247672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 19 + 2. Suppose 30 + k = 3*r. Calculate the highest common factor of 68 and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.88 times 33.16147\nAnswer: -29.1820936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 4, z: 6, v: 3}. What is prob of sequence vvv?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 5135*i + 1187. Does 43 divide n(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 + 2)*5 - (-3816)\/792?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-three fifths of a century in years?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 480 and 324.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) be the second derivative of 2458*u**3\/3 - 1099*u - 3. Let w(n) = -n. Determine w(s(j)).\nAnswer: -4916*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 21 (base 12) in base 16?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 - (-4 + 816\/(-104))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*u + 12*u**3 + 3*u + (28*u + 33*u + 67*u)*(u - u - u)*(2*u - 5*u + 4*u).\nAnswer: -116*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 b when two letters picked without replacement from {c: 1, r: 1, b: 2, e: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = -4*r - 144 - 1692, -7249 = -4*g - 3*r. Suppose 13*o = 11*o + g. List the prime factors of o.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 5, 4, 2821?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = b - 13. Let p be z(13). Which is smaller: -1\/60 or p?\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*w**2 + 7*w - 7*w + 16*w to the form b*w**2 + h + j*w and give j.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9440.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(2\/5))**(-15))**(-1\/14) assuming k is positive.\nAnswer: k**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b*b**(1\/2)*b\/b**10 assuming b is positive.\nAnswer: b**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*p - 32 - 112. Is 12 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -21786597133198 - 6?\nAnswer: -21786597133204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*(sqrt(72) - (sqrt(72) + 0)) + sqrt(160)\/sqrt(5) + 0 + 0)*-1)**2 + -1.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 7697.115m?\nAnswer: 7.697115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2572 - -2572. What is the biggest value in 4, 0.4, -2.5, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = 4*o - 4*n - 1507, -4*n = 3*o - 4441. What is the tens digit of (138\/(-115))\/(-1 + o\/1490)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 181538500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(2) + 1 + sqrt(2))**2 + sqrt(2) + sqrt(4)\/sqrt(2)*1.\nAnswer: 6*sqrt(2) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 1, o: 4, v: 5}. Give prob of picking 1 v and 2 o.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 0.6 times -2.57\nAnswer: -1.542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -17a2c (base 13) in base 7?\nAnswer: -250100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 + 2. What is the second derivative of 1 - y - y**4 - g wrt y?\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 4 - (43 + -38)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 789810107?\nAnswer: 19, 1033, 40241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7\/9, 13, 5, 2 in ascending order.\nAnswer: -7\/9, 2, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -1, 0.3, -3\/2, 1, -211?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, o: 10, z: 3, e: 1}. What is prob of picking 1 o, 1 z, and 1 l?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 673*w + 1197 = 736*w for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 613224 and 459?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 22223332 + -31?\nAnswer: 22223301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 340.7 - 340.69999054. What is d rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uuuuuuuuduufuffuuffd. Give prob of picking 2 u.\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1)\/4*(-56)\/2. Let a be (-3)\/h - (-26)\/28. Factor -a - o - 1\/2*o**2.\nAnswer: -(o + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve s - y = -6, 12*s - 5*y = 9*s - 22 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 9*i**2. Let z(q) = -1359*q. Calculate t(z(p)).\nAnswer: 16621929*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1587653 + 23?\nAnswer: 1587676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 40 - 15. Let x = j - 14. What is the smallest common multiple of x and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23149 = 1076*y - 11800 + 6973 for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**2 - 466*r + 30971. Determine o(61).\nAnswer: -1176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.004887101195 rounded to 5 decimal places?\nAnswer: 0.00489","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1  (b) -2\/5  (c) 4\/9  (d) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - q + 278 = 25, 3*p + 151 = q. Let i = -47 - p. List the prime factors of (1 - (-4)\/(-3))*-282 + i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -h - 1. Let n(r) = -r - 2. Let j(p) = -3*l(p) + 2*n(p). Let k be j(8). Let u = k - 5. Is 4 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 40*-4.7\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 38 - 50. Is 5537\/35 - j\/15 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -15532*a - 4 + 15532*a + a**2. Let n(h) = -h. What is n(q(z))?\nAnswer: -z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*d + 4*d + 32. Let s(c) = 6*c**2 + d*c**2 - 12*c**2. Let r(x) = x**2 - 3*x**2 + 0*x**2. Give r(s(i)).\nAnswer: -8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -204525970, -204525975, -204525982, -204525991?\n\"Answer: -d**2 - 2*d - 204525967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b**3 - b**2 - b. Let f(s) be the first derivative of -10 + 0*s**2 - 1\/3*s**3 + 0*s. Calculate 3*f(m) - 2*x(m).\nAnswer: -2*m**3 - m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*a - 3*y + 21, 21 = 2*a + 4*y + y. Suppose 195*x - 96*x = 90*x. Suppose 8 = 4*v - 8. Solve -a*r - 2*l + v + 0 = x, 0 = 3*l + 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 2577 and 2578 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -8*o + 33. Let y be f(3). What is the greatest common divisor of y and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4560 is divided by 4531?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b - 3*x + 1 = -16, -2*x = 3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:37 AM and 12:40 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (-p**2 + 2*p**2 - 2*p**2)*(p + 7*p - 2*p) in the form d*p + r*p**2 + l*p**3 + i and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.3*-0.07213.\nAnswer: 0.021639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 - ((-7 - -8) + -3) - (-147 + 195)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-2\/23)*k)**(3\/32)\/(k**0)**(-3\/2) assuming k is positive.\nAnswer: k**(63\/736)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hhw when three letters picked without replacement from ahhwqqqwqqqaqwqhwqqw.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -353 - -191. Let x = d - -149.7. Let o = 12 + x. Which is the biggest value?  (a) 2  (b) o  (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -3*y**4 + 143*y**3 + 3193*y**2 + 3052*y - 5. Let d(b) = 4*b**4 - 216*b**3 - 4790*b**2 - 4577*b + 7. Let p(a) = -5*d(a) - 7*s(a). Factor p(q).\nAnswer: q*(q + 1)*(q + 39)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 348 and 80?\nAnswer: 6960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -29, -97, -1, -3, 7, -43 in increasing order.\nAnswer: -97, -43, -29, -3, -2, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + s = p - 147, 150 = 4*p - 2*s. Solve 0 = 3*l - p + 48 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 12804?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(170)*-3)\/(3*sqrt(160)).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + (5 - 2) + (-10 - -10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-1 + 19 + 27825\/(-1400))\/((-1)\/(-2))\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/(3 + -1) - -4. Suppose z*m = -3*h - 5, 5*m + 3*h + 1 + 7 = 0. Let s be 8\/((-1)\/(m\/2)). Solve 3*k + j = 3, 5*k - 15 + 3 = -s*j for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qtttqxqxqxqxqtx. What is prob of picking 1 t and 3 x?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.32 + -0.02. Let p = 0.4 - n. Let o(z) = -2*z**2 + 11*z - 12. Let f be o(5). Sort -1\/11, f, p.\nAnswer: f, -1\/11, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3688 is divided by 1047?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -3*j + 4. Let o(t) = -j*t - 72 + 3*t**2 - 2*t + 79 + t**3 + t**2. Let x be o(-5). Solve -v = -x*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:44 PM and 9:59 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -258 = -3*w - 3*w. Calculate the remainder when w is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5ea4c (base 16) in base 10?\nAnswer: -387660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 2*m**2 + 4*m - 17. Calculate the remainder when 376 is divided by o(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -140 - -144. Let k = s + -4. Which is smaller: k or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 67*-8.759.\nAnswer: -586.853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -125\/457368 and 31\/4488?\nAnswer: 5031048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 37075 is divided by 114?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 114*c**2 + 631*c + 24. Calculate s(-10).\nAnswer: 5114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - o = 80, -3*o - 8 = -2*l + 37. Suppose j = -2*p + 5*j + 4, 4*p - l = j. Is 3 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(624) - 1*sqrt(624)) + sqrt(624))*6 + sqrt(624))\/(-2*(sqrt(12) + sqrt(12) + sqrt(36)\/sqrt(3))))**2.\nAnswer: 637\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -y. Let x(b) = 255030*b + 15. Let m(n) = -25*a(n) - x(n). Let v be m(-6). Let f be v\/(-9) + 4\/(-12) + 2. What is f rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 628 minutes before 6:34 AM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 18*t**2 - 24*t + 5. What is the remainder when k(6) is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u**3 + 6*u**2 - 7*u + 4. Let x be q(-7). Suppose x = y + 5*c, 1 = c + 6. List the prime factors of y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -211430012 (base 5) in base 12?\nAnswer: -36a832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2750226683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y + 4*q = -2, 2*q + 10 = -3*y - 11 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*m + 11*m. Differentiate -8 + 5*s**3 + 2*s**3 + m*s**3 + 0*s**3 with respect to s.\nAnswer: 21*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 30 - 30. Which is the third biggest value?  (a) g  (b) 0.1  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 544, 4.\nAnswer: -5, 4, 544","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 55 = -287. Suppose 43 = 3*s - 5*l, 2*s + 0*l - t = -4*l. Is s a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 240 and 2808.\nAnswer: 28080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*w - 4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j**3 + 2*j**2 - 10*j - 6. Let n be u(-4). Solve -v = n*v - 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one half of a millennium in decades?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v, -3*l + 6 = v + v. What is the smallest common multiple of 2 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 295 + -176. Find the third derivative of 2*j**3 + 57*j**2 + 14*j**6 - c*j**2 - 2*j**3 wrt j.\nAnswer: 1680*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 21957 by -13.\nAnswer: -1689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 3) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 175 minutes before 5:46 AM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the second derivative of 35\/6*g**3 + 5\/12*g**4 + 103*g + 15*g**2 + 0. Factor c(u).\nAnswer: 5*(u + 1)*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -23373 equal to -23373?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/2*4\/(-32)*-2. Let t = -605 + 604.99. What is the closest to 2 in t, 1, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55*d - 56*d + 597 = 0. What are the prime factors of d?\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*s - 260 - 538. Let j = s - 257. Suppose 0*k = -5*d + 4*k + j, -5*d + 133 = -k. List the prime factors of d.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 + 2 - 2)*(2*k - 4*k + 0*k) + 2*k - 1 + 1)*(132 - 18 - 9)*(-2 - 3 + 7 - 6 + 2 + 2 - 1 + 0 + 3 + (0 + 4 - 3)*(-1 + 1 + 1) - 1 + 2 - 3).\nAnswer: 630*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -10201 (base 6) to base 16\nAnswer: -559","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*n + 5*n = -4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7292318 and 105512?\nAnswer: 2398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2914673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2726, 5431, 8138, 10847, 13558, 16271?\nAnswer: 18986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Do 3\/4 and -13.6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7*j**2*v**3*w**2 - j**2*v**3*w - j**2*v**2*w - 3*j*v**3*w**2 + 19*w**2 + 1919*w wrt w.\nAnswer: -14*j**2*v**3 - 6*j*v**3 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5 - -4. What is the third smallest value in -1\/4, 4, i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10111000101010110011 - 10011?\nAnswer: 10111000101010100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/((a*a*a*a*a*a**(-1)*a)\/a)*a)**(-20)\/((a*a*a**(3\/2))\/a**(-4))*(a**(1\/5)\/((a*a\/(a*a**(2\/3))*a)\/a*a))**(-22\/3) assuming a is positive.\nAnswer: a**(3673\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 37798, 37806, 37820, 37840?\nAnswer: 37866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.043629 rounded to 3 decimal places?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 6*n**3 + 3*n**2 - 4*n - 4. Let u(a) = -2*a**3 + a**2 - 2. Let s(b) = -2*b**3 - 6*b**2 + 5*b + 9. Let m(f) = -s(f) - 2*u(f). What is 5*i(q) - 4*m(q)?\nAnswer: 6*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -75, 1, -4, -6.\nAnswer: -75, -6, -5, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 94 + 66 = -5*a, -4*m - 3*a = -26. Is m not equal to 2.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -31*p + 161. Let r(d) = -19*d + 108. Determine -5*b(t) + 7*r(t).\nAnswer: 22*t - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-6)\/(-5)*(-40)\/33 and 0 + ((-66)\/(-16) - -1)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1256\/2 + 4\/(12\/9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -4*b - 7. Let n be (-5)\/10 + (-9)\/(-2). Suppose 2*d - s - 3*s - 8 = 0, n = -s. Calculate o(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from lllllllll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -f + 3*b - 8, -4*f - f + b = -30. Let k be ((14\/4)\/f)\/((-1)\/(-60)). Solve 2*o - 3*z + 16 = 0, -5*o - 3*z = -11 + k for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the second derivative of -3*j**2 - 1\/6*j**3 - 3*j + 1\/12*j**4 + 0. Factor v(r).\nAnswer: (r - 3)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 7 = -2. Suppose q + 20 = 4*p, -5*p + 28 = 3*q - h*q. Suppose p = r, -5*y - 4*r + 36 = -45. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 8 - 5. Let j be -1*(-10)\/(-4)*(15 + -17). Suppose -v*a + 16 = -2*x, 0*a - 31 = -j*a - x. Let q(n) = n - 4. Calculate q(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*((-84)\/(-7))\/(-156)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-2\/45)*(w**(2\/5)\/w)\/w assuming w is positive.\nAnswer: w**(-74\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -10 (base 3) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 77.51229ml?\nAnswer: 0.07751229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1 - 24156\/(-7381)*11\/(-2)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1118 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3315 and 12?\nAnswer: 13260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 6*o - 16. Let c be z(7). Find the first derivative of -3*r**3 - c - r**3 + 29 wrt r.\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*f - 2*f + f)*(-7*f + f - 17*f + (2*f - 3 + 3)*(-1 + 1 - 2) + 4*f - 3*f - 2*f + 4*f - 3*f - 5*f) to the form y*f + k + h*f**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 2722 = -5*g, 4*g + 4106 = d - 4*d. Let x = -359 - d. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/((y\/(y\/(((y*y**(7\/2)*y)\/y*y)\/y)*y))\/y*y*y))\/(y\/(((y**(-3)\/y)\/y)\/y)))**(-11) assuming y is positive.\nAnswer: y**(231\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 10 and -1.04?\nAnswer: -10.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1001 - -1281.16. Round m to 0 dps.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11782653 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 5\/(40\/24 + 0). Let v(m) = 5*m**2 + 2*m - 6. Let f(i) = -i**2 - 1. What is z*f(x) + v(x)?\nAnswer: 2*x**2 + 2*x - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 84*j - 126 = 77*j. Let q = 121 + 23. Calculate the greatest common factor of q and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:36 PM and 8:22 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 42 and 33?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 25013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jkgttkjfjtftfwj. What is prob of picking 2 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -52876014 divided by 2?\nAnswer: -26438007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 12156*p**2 - 10*p + 5419. Let k(o) = 12159*o**2 - 8*o + 5416. Let m(x) = 5*k(x) - 4*z(x). Find the first derivative of m(v) wrt v.\nAnswer: 24342*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9)\/6*-2 - (23 - 15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -3\/4, -2, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 33, -4, 957\/2, 3\/8 in descending order.\nAnswer: 957\/2, 33, 3\/8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r**2 - 12105*r - 36270 = 0.\nAnswer: -2418, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 60 - 60 - 58343*q.\nAnswer: -58343*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-3)\/(-2))\/(21\/56). Let a = 3 - r. Let t = 1.6 + 16.4. Is a equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53848 = 4*b - 4*a, 26*b = 21*b - 2*a + 67345. What is the greatest common factor of 134 and b?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 5 + 56620*s - 9.\nAnswer: 56620*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 13\/61  (b) -0.1  (c) 92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -506, -513, -532, -569, -630, -721, -848, -1017?\nAnswer: -1234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 3*f + 2 + 0 + 9*f. Let k be u(3). Suppose 0*h + 3*m - k = -h, 4*h = -2*m + 152. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8 - 140045*f**2 - 1 - 196586*f**2.\nAnswer: -336631*f**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 9 in -33, 1\/3, 0.041, -4, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*y**5 + 4*y**4 - 12*y**3 - 4*y**2 + 8*y.\nAnswer: 4*y*(y - 1)**2*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**0\/b*b)**4\/(b*b\/(b\/(b\/b**(-3\/7)*b))*b\/(b**(-2)\/b))*((b\/b**(-1))\/b)**46\/((b*b\/(b*(((b*b**(-2\/7))\/b)\/b)\/b))\/(b\/b**7)) assuming b is positive.\nAnswer: b**(205\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-9)\/((-4432)\/(-48) - -14). Which is bigger: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 670, 2644, 5924, 10510, 16402, 23600?\n\"Answer: 653*l**2 + 15*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 111 + -10101?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.064 + -0.084. Which is the closest to t?  (a) 3  (b) 0.4  (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 46.29 rounded to zero dps?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*o**3 + 32295*o**2 - 712011*o - 744303.\nAnswer: 3*(o - 23)*(o + 1)*(o + 10787)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4625811351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (50\/4)\/(-5)*-64. Suppose -2*n + n + y = 0. Suppose -2*s - 3*s + 150 = -4*a, -5*s + 2*a + n = 0. Is 15 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*t + 319 = 11733. Is t a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((w**(-1)\/w)\/w)\/w)\/(w\/(w\/(w\/w**14))))**(5\/2))**(2\/65) assuming w is positive.\nAnswer: w**(9\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qme when three letters picked without replacement from pmepqpmphme?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -239.53 - -238. Let m = z + -8.47. Let j = -5.6 - -6. Which is the third smallest value?  (a) 4  (b) m  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -m + 6, 7*l - 9*l = 3*m - 51266. What is the thousands digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3 + 12. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 35486 is divided by 169?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 8641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 622738.3 nanograms to micrograms.\nAnswer: 622.7383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 11212021100 (base 3) to base 7\nAnswer: 546000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.09  (b) -2\/3  (c) 180\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 180148693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 36688427 or 36688426?\nAnswer: 36688427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + 5 - -4 - (-70 + 0 + -6 - 4)?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(121) + 1*sqrt(121))*3 + sqrt(121))\/sqrt(11).\nAnswer: 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1457801, -2915554, -4373311, -5831072, -7288837, -8746606?\n\"Answer: -2*s**2 - 1457747*s - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + j + 19 = 0, -k + 3*k + 5*j = 13. Let o = -4 + k. Suppose q - l = 6, -q + o*l + 15 = -4*l. Solve 4*b - 3*b - 2 = -q*h, 4*b - 20 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 216864281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -47, 8, 4 in increasing order.\nAnswer: -47, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*d - 355 + 215. Calculate the remainder when (-2)\/3 + 502\/6 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*f = -8*f + 5*n - 11008, -5510 = -2*f - n. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) be the second derivative of -n**7\/210 + 43*n**6\/150 + 9*n**5\/10 + 2*n - 46. Factor j(p).\nAnswer: -p**3*(p - 45)*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13305 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: Solve 1938*f - 48 = 1914*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q*q*q**(11\/4)*q**(-2\/3) assuming q is positive.\nAnswer: q**(49\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -9\/41 and -53\/472125783?\nAnswer: 472125783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 40364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 2*z = -5, -5 = -x + 4*z - 3*z. Let s be (40\/16 - x)*-2. What is the fourth smallest value in s, -3\/8, 9, -1.9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3759, 7518, 11277, 15036?\nAnswer: 18795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (41\/(-738))\/(1\/3).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.2 and 0.00841873?\nAnswer: 0.001683746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -9*p + 14*p + 11*p**2 - p**3 + 14*p + 4*p**2 + 8. What are the prime factors of w(16)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -77*q - 68*q + 77*q + 51*q.\nAnswer: -17*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that -5*x**3 + 6807*x**2 - 11600811*x\/5 + 11566801\/5 = 0.\nAnswer: 1, 3401\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -144, -2930, -7568, -14058, -22400?\nAnswer: -32594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 63*b**4*m**2 - 5*b**4*m + 170*b*m**2 - 2*b*m wrt b?\nAnswer: 756*b**2*m**2 - 60*b**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 902772 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6 + -2. Let l = 6 + d. Let k = 4 + l. Solve -k*g - 2*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -35340*z**3 - z**2 + 968*z + 17.\nAnswer: -212040*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1801\/20 - -317\/4. Let l = z + 11. Let i be (-6)\/5*10\/(-4). Which is the nearest to -0.1?  (a) l  (b) i  (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 108*n - 105*n - c = 3, 10*n + 5*c + 15 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -56389.189 - -56389.354099169. Let w = 0.1651 - j. What is w rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -395 + 179 - 719*a + 614 + 491 with respect to a.\nAnswer: -719","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -g**3 - 11*g**2 + 3. Let f be z(-11). Let b be f\/4*(-24)\/114. Which is smaller: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -4*d**2 + 37*d - 4. Let w be j(9). Let h = 15 + -11. Let k = -0.7 + 1.1. What is the third biggest value in h, k, w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (88\/(-22))\/(32\/56)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1366380 and 990?\nAnswer: 15030180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 j when two letters picked without replacement from {j: 4, t: 1, m: 4, w: 1}.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -11*p**3 - 9*p**2 + p + 9. Let s(g) = 16*g**3 + 5*g**2 + 47*g - 21. Let b(t) = -t**2 + 6*t - 1. Let u(d) = 8*b(d) - s(d). Give 5*u(f) - 7*w(f).\nAnswer: -3*f**3 - 2*f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 2*v - 2*l + 6*l, -2*v + 9 = -l. Suppose 4*r + j = 35, 23 = 4*r - 6*j + v*j. What is the greatest common factor of 24 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 156 = 3*m + 3*n, 275 = 4*m - 3*n + 81. Suppose 11*p - 6*p = 250. What is the highest common divisor of m and p?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 470974 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = c**3 + 11*c**2 + 9*c + 12. Let k be p(-10). Let s(i) = k*i + 2 - 8*i - 1. Let n be s(6). Calculate the highest common divisor of n and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6214 or 6213?\nAnswer: 6213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 579405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(128)*2*3)\/((sqrt(288) + sqrt(288)*2)\/sqrt(8)))**2 + 0.\nAnswer: 128\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(7\/6)\/(m\/m**(-2\/15))*(m\/(m\/(m\/(m*m\/(m\/(m*m\/m**(-23)*m))))*m)*m)\/((m\/(m**(-15)\/m))\/m) assuming m is positive.\nAnswer: m**(-1259\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*v**2\/17 + 1056*v\/17 + 139392\/17.\nAnswer: 2*(v + 264)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1444668 and 24.\nAnswer: 2889336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 10708 to the power of 1\/2, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 11\/5 - 1\/30. Let l(n) = -n**3 + 5*n**2 - 6*n + 10. Let x be l(4). Find b, given that 2\/3*b**3 - 13\/6*b + 2\/3 - s*b**x = 0.\nAnswer: -1, 1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -8, -11, -1080, -14 in increasing order.\nAnswer: -1080, -14, -11, -8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.03 + -0.09. Let k = n - -0.16. Suppose -x = x + 4. Which is the closest to 2\/3?  (a) 2  (b) x  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:35 AM and 5:41 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**5\/v*v)**(2\/117) assuming v is positive.\nAnswer: v**(10\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.16*9.\nAnswer: 1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -273*f**3 - 36*f**2 + 75*f + 37?\nAnswer: -1638*f - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/184175327 or 1?\nAnswer: -2\/184175327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-991392)\/(-69) - (-6 - 1 - (-2 - -2)). What is the highest common factor of 23 and w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 312 is divided by 234.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 8\/12*(9 - -3). Suppose x = -x + o. Which is the smallest value?  (a) x  (b) 0.5  (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 2*h**2 + 6*h + 21. Let z be w(-6). What is the third derivative of 4*d**2 - 19*d**2 + 67*d**2 - z*d**5 + 0*d**2 wrt d?\nAnswer: -3420*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 3*c + 1312 = 0, -5*c + 230 + 439 = -q. Let u = q - -1012. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1165 is divided by 208.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/(210\/(-8))*12\/8.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -284 = -2*w - 4*q, 2*w + 604 = 6*w - q. Let v = -111 + w. What is the remainder when v is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -g**3 - 9*g**2 + 3. Let v be x(-6). Let h be (-40)\/v - 6\/(-21). Is -2 less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -523\/9 at least as big as -59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 302465 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -14550 + 30019. Is i 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 5383?\nAnswer: 7, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the first derivative of 0*o**3 + 2 + 0*o + 6\/5*o**5 + 0*o**4 - 2*o**2. What is the second derivative of z(q) wrt q?\nAnswer: 72*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 77, 149, 221?\nAnswer: 293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 5.2156 * -179\nAnswer: -933.5924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 170174\/3 - 56244. Let l = 8174\/17 - z. Is -1 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 minutes after 2:35 PM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 1299*q - 6510. Let a be j(5). What is the fourth smallest value in 3, 37, 2, a?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 13, k: 6}. What is prob of picking 3 t and 1 k?\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 315839 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4012 - -4?\nAnswer: -4009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 165 = -5*q - 16, 0 = -q - 2*b + 27. Suppose -5*h = -20, -3*o = 2*h - 7 - q. Is 2 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -u**2 + u + 26. Let r be s(0). Suppose 2*x = -r + 68. What is the greatest common divisor of x and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-25)\/(-5))\/(45\/(-54)))\/(-20)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7?  (a) -2  (b) -13  (c) 4\/7  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Add together 47 and -18090650580.\nAnswer: -18090650533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(1\/6)\/r)\/r*r*(((r**(-2\/9)*r*r*r)\/r)\/r)\/r*r)\/(r**(2\/19)\/(r*(r*r\/r**(-1\/3))\/r*r*r*r))*(r**(2\/7))**43\/(r*r**(-1\/2)\/r)**(7\/5) assuming r is positive.\nAnswer: r**(108677\/5985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1053) - 2*(sqrt(1053) + -1)) + (-1 + sqrt(1053))*3 - (-4 + sqrt(1053) + 0 + sqrt(1053)*2*2 + 1))**2.\nAnswer: -108*sqrt(13) + 9481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 304, -44, 570.\nAnswer: -44, 2, 304, 570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 89090430 divided by 95.\nAnswer: 937794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 3444721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 16*n - 20*n - 2*j + 14, -n + 5*j = 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 17346092 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3\/2, 109, 162\/1013?\nAnswer: 162\/1013","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the third derivative of -5*r**4\/12 + 4*r**3\/3 - 11*r**2. What is the derivative of n(p) wrt p?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -18610, -37042, -55474?\nAnswer: -73906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in eleven quarters of a microsecond?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) be the second derivative of u**8\/11760 - u**7\/882 - 2*u**6\/315 + 2*u**5\/35 + 53*u**4\/12 + 49*u. Let b(x) be the third derivative of r(x). Factor b(d).\nAnswer: 4*(d - 6)*(d - 1)*(d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*c + c, 0 = -2*j + 2*c - 22. Which is smaller: j or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:44 AM and 7:32 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -3201 (base 4) to base 5\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = w**2 + 45*w + 198. Give q(-40).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 4 - 1 - (-50)\/(-18). Let d = 3.5 - 0.5. Which is the smallest value?  (a) d  (b) 1\/3  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = t + 2*f - 9 + 13, -4*f - 8 = 0. Suppose t = 3*c - 878 - 343. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) be the second derivative of j**7\/14 + j**3\/3 - 5*j. What is the second derivative of x(q) wrt q?\nAnswer: 60*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*p = -57 + 39. Suppose 0 = -3*t - 0*t + 2*b + 1775, -p*b - 2364 = -4*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1331348 minutes in milliseconds?\nAnswer: 7988.088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -23, -14, 9, 52, 121?\nAnswer: 222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -2*v + 3*j, 23 - 5 = 5*v + j. Let y be ((-120)\/70)\/(v\/(-14)). Let o = 8 - y. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 7815.382g?\nAnswer: 0.007815382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5002 + 5115. What is the greatest common factor of i and 1243?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3021 and 0.2.\nAnswer: 604.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0  (b) 4  (c) 0.07  (d) -0.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen fifths of a century in decades?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2\/221 - -229\/884. Are -4 and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*s + 780 - 920. What is the highest common divisor of s and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 109\/286 and -155\/6006.\nAnswer: 6006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(75))**2 - (sqrt(9)\/sqrt(3) + -3)) + -4.\nAnswer: -sqrt(3) + 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that 5*c**2 - 2570*c - 5160 = 0.\nAnswer: -2, 516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -35 - 52*z - 20 + 71. List the prime factors of v(-8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -935663*f**4 - 268*f**2 - 10188*f wrt f?\nAnswer: -22455912*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 2, t: 2, q: 3, s: 2}. What is prob of picking 3 t and 1 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 84788381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 2048024 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -176.0705 - -18.9115. Let t = -38 + -119. Let i = t - s. Round i to 2 decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -100, -194, -288, -382, -476?\nAnswer: -570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 9636 divided by 44?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is aa2 (base 11) in base 10?\nAnswer: 1322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/13815 and 37\/7982.\nAnswer: 359190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - (0 + -1 + -12).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = 7*y + 24. Let u be y\/(-21) + (-24)\/(-14). Is (-3 + 65)*u\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 537 a factor of 52461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 2*f + 4 = 0, 2*b - f + 6 = 11. Suppose -2*x = -1 - 3. Let p be (0 + -2)\/(-3 + x). Solve -q - 2*v - b = 2*q, p*q + 5*v = -16 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*c**5 - 26847*c**4 - 1844790*c**3 - 33039918*c**2 - 24904635*c + 6317325 = 0. What is c?\nAnswer: -1719, -35, -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -33072, -33067, -33060, -33051, -33040, -33027, -33012?\nAnswer: -32995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -10?  (a) -3  (b) 497  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -74451 divided by 249.\nAnswer: -299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 5, 13, 43, 107, 217, 385?\n\"Answer: 2*m**3 - m**2 - 3*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(15*(-24)\/576)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 8231323 and 11064?\nAnswer: 8220259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -140*n**2*o**3 - n**2 - n*o**4 + 1255*o wrt o?\nAnswer: -840*n**2*o - 12*n*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7557*c + 7559*c = -b - 2*b + 33, -5*b - 14*c = -119 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 267 divide 65269752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3101 or 3096?\nAnswer: 3101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oco when three letters picked without replacement from {c: 2, k: 3, j: 1, g: 5, o: 6, v: 3}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 148 + -40. Calculate the least common multiple of 30 and v.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-38)\/(-323)*12\/(-8)?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.2 - 0.2. Let q = -14 - -5. Let h = q - -14. Which is the nearest to 2\/3?  (a) k  (b) -1  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1912, 1079, 248, -581, -1408?\nAnswer: -2233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 726*b = 736*b + 50 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -121 divided by -8?\nAnswer: 121\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 17  (b) 3\/35  (c) 2\/7  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 57 divided by 10\nAnswer: 57\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1468551.31 + -2263.31. Let k = 1466294.000001 - m. Let p = 6 - k. What is p rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 216 divide 28552176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 20 = 5*i, 2*i + 0*i + 13 = -3*o. List the prime factors of 0 + 167 - o\/(-2)*-6.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 5, -8, 497, 2074 in decreasing order.\nAnswer: 2074, 497, 5, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 686 in -0.1, -2, -1\/50?\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ph when two letters picked without replacement from {w: 1, p: 1, h: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 324740.0265 + -324877. Let p = x - -72.9792. Let w = 64 + p. What is w rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oooo when four letters picked without replacement from {o: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-12)\/(-5))\/(894\/745).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 821*l + 98?\nAnswer: 821","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.44, -37, -0.17, 0?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-505)\/(-45) + 4\/(-18). Suppose 0 = 3*g - s - 22. What is the greatest common divisor of g and 110?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8 - -1. Let k = w - -23. Suppose 3*s - p + 4*p - 12 = 0, -4*s = -5*p - k. Solve x + s = -x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 122243814 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13*v + 566 - 287 - 286)*(7*v - 3*v - 5*v).\nAnswer: 13*v**2 + 7*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -194*d - 9597. Let b(q) = 2*q. Give b(a(u)).\nAnswer: -388*u - 19194","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*n - 22*n - 92 + 101 = 0. What is the least common multiple of 2919 and n?\nAnswer: 8757","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*f**2 + 2*f**2 - 4*f**2 + (5*f - 3*f - 10 + 11)*(524*f - 1104*f + 759*f).\nAnswer: 356*f**2 + 179*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -5*l + 10. Let v be z(1). Solve -3*t = -3*k + 2 - v, -4*t = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q - 3*p + 367 = 4*q, 3*p + 161 = 2*q. Does 11 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 58822*-2075.\nAnswer: -122055650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 2772 from 1.8.\nAnswer: -2770.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**9\/((f*f\/(f**(-8)\/f*f)*f*f)\/f)*(f\/f**(-1\/3))\/f**(-2\/9) assuming f is positive.\nAnswer: f**(-4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(75) - sqrt(3)))**2 - (-2 + sqrt(3) + 0).\nAnswer: -sqrt(3) + 434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s - 3. Let l(v) = -1. Suppose -15*h = -13*h + 18. Let m = h + 23. Let r be (-252)\/m*(-2)\/6. Give r*l(z) - o(z).\nAnswer: -z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) 2  (b) 1.5  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = c**3 + 11*c**2 + 12*c + 11. Let t be y(-10). Let g = t - -24. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 6*h**3 + 3*h**2 - h - 7. Let j(k) = 17*k**3 + 8*k**2 - 3*k - 22. Give 8*c(d) - 3*j(d).\nAnswer: -3*d**3 + d + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = -0*g - 2*n + 8, 0 = -5*n + 20. Suppose 4*o - 308 - 128 = g. Suppose -32 - o = -3*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1449*o**4*v + 51*o**3*v + 464506*v wrt o.\nAnswer: 5796*o**3*v + 153*o**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 13505 and 2?\nAnswer: 27010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 28775 - 1?\nAnswer: 28774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = -0 - 2. Suppose -4*x + 2 = d*h - 6, 0 = 3*x + 15. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = -a, a + 0*p - 2*p = -6. Suppose -2*o = 4 - 2. Sort a, 4, o in decreasing order.\nAnswer: 4, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.87723 * -0.8.\nAnswer: -2.301784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -19*y + 5. Let q be v(0). Let l = -372 - -372. Solve 3*f + c + l*c = -9, q*f + 17 = -c for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v**3 - v**2 - v. Let t(b) = 6*b**3 + 5*b**2 + 4*b. Let n(l) = l**2 - 18*l + 31. Let f be n(16). Determine f*t(j) - 4*i(j).\nAnswer: -2*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -455 * -0.7941\nAnswer: 361.3155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 2*b + 4. Let s be i(-4). Let v = s + 4. Which is greater: v or -5\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 96766624?\nAnswer: 2, 31, 97547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p**3 - p - 1. Let o(b) = b**3 - 5*b - 7. Let r(y) = -y**3 + 8*y**2 + 8*y + 8. Let i be r(9). Let k(q) = i*o(q) + 5*g(q). Differentiate k(m) wrt m.\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q**2 - 7*q - 2. Let z = 27 - 33. Let u be g(z). What is the tens digit of (15\/u)\/(6\/(-32)*-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.7 + 3.3. Let j = -2707 + 2707.5. Which is the third smallest value?  (a) h  (b) j  (c) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:04 PM and 2:53 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 5442\/(-320) + (-47 - -64). Which is bigger: 40 or h?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*l**3 + 45*l**2 - 350*l.\nAnswer: 5*l*(l - 5)*(l + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 8184\/(-1188) + 40\/(-36)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.93 + 1.2751?\nAnswer: 0.3451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -110010111100 (base 2) to base 6.\nAnswer: -23032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.142 times -0.3626?\nAnswer: 0.0514892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 944 is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t + 21 = 29, 2*x = -t + 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -230.936 + 231. Let g = -0.364 + d. Sort 0.5, g, -2\/7, -3.\nAnswer: -3, g, -2\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -x**3 + 176929*x**2 + 3008052*x + 5308380 = 0. Calculate x.\nAnswer: -15, -2, 176946","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*w + 10*w + 4*w.\nAnswer: 17*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when -13 + (-35)\/(-7) - -355 is divided by 58?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -5599, -11194, -16789, -22384?\n\"Answer: -5595*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 153838, 153551, 153264?\n\"Answer: -287*g + 154125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 34690655 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = 3*l + 11. Let y be 26\/10 + 2\/5. Suppose 5*s = y*w - 28, 3*s = 2*w - s - 18. What is the highest common factor of w and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2676 < 8029\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -644, -646, -650, -656, -664?\nAnswer: -674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -94*g + 6. Let a(z) = -187*z + 13. What is -2*a(s) + 5*m(s)?\nAnswer: -96*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 2\/5, 6\/19, 0, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -893, -1790, -2687?\nAnswer: -3584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 29030059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 150 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-1\/3)*y**(-4\/9)*y*(y*y**(6\/5))\/(y**(-2)*y))\/(y**(-2\/17)\/y*y**(-5))**(-25) assuming y is positive.\nAnswer: y**(-114382\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 4*x**2 - 13*x + 6. Give j(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 0*f + 2*f**2 + 4 + f - 6. Suppose w = -3*h, -5*h = 15 + 5. Let x = -14 + w. Give s(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -380770*a + 10556. Let f(i) = -757*i + 21. What is 1508*f(x) - 3*j(x)?\nAnswer: 754*x","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p - 66 = -p. Is (26\/(-4))\/((-11)\/p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 332*h - 15882*h + 544250 for h.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 j when two letters picked without replacement from {j: 2, y: 2, q: 13, p: 2}?\nAnswer: 26\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + -4*sqrt(12))*-2 + 3 + (5 + sqrt(3) + -1 + 5)**2.\nAnswer: 34*sqrt(3) + 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20\/115 + 83592\/4968.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-160)\/(-8)*20\/50?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -87485593, -174971182, -262456771, -349942360, -437427949, -524913538?\n\"Answer: -87485589*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-68)\/34 - (-8)\/276*96. Is c smaller than 3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 12 = w - 3, -y = -5*w + 23. Solve -w = -4*l + 7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -0.18  (b) 0.4  (c) 2\/23  (d) -263\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4239.00064 - -4243. Let m = u - 4. What is m rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -248*u**2 + 3*u - 2. Let d be l(-3). Let k = d - -3394. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 17, 174103, -3, -5.\nAnswer: -5, -3, 2, 17, 174103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(-5) + (-1)\/5*-16.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1000001001110110 (base 2) in base 15?\nAnswer: -9d68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 359*g**2 + 63*g - 73. What is the hundreds digit of u(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 5*i = 120, -5*x - 3*i + 480 = 2*i. Let w(v) = -v**3 - 15*v**2 + 37*v + 390. Calculate the remainder when x is divided by w(-16).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 31 = 3*a, 5*a + 0*a + 5*g - 55 = 0. Suppose 43058 = -a*j + 147881. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 2 e when three letters picked without replacement from {g: 2, h: 4, e: 10}?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 77, 81, 85, 89, 93, 97?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-14)\/91)\/(8\/(-364)*21))\/(6\/(-9)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*r**5 + 118*r**4 + 235*r**2 + 2.\nAnswer: 120*r**2 + 2832*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 8668642 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -135881, -542960, -1221419, -2171252, -3392453, -4885016, -6648935?\n\"Answer: h**3 - 135696*h**2 + 2*h - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 700?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -2*s**3 - s**2 + 1. Give f(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: ((-722)\/570)\/(12\/(-60))*3\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1.1 - 1.2. Sort 5, 0.1, j, -2\/3 in decreasing order.\nAnswer: 5, 0.1, j, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 33, 149, 343, 615, 965?\nAnswer: 1393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5912 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -5870, -5, 61 in increasing order.\nAnswer: -5870, -5, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of c**2*u*v**3 + 698*c**2*v**2 + 6221*c*u*v**3 - 6*c*v**3 wrt u.\nAnswer: c**2*v**3 + 6221*c*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = a**3 - a**2 + 2. Let g be j(0). Let v be (2 - g)\/(3\/3). Is 5 a factor of v + (-2 - 0) + 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -298, 10511, 39858, 97013, 191246, 331827, 528026, 789113?\nAnswer: 1124358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*k - 1058 + 882 - 1282 = 0. Solve -k = -27*d + 108 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lh when two letters picked without replacement from bhvzhlv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -27891, -27883, -27865, -27831, -27775, -27691, -27573, -27415?\nAnswer: -27211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tl when two letters picked without replacement from {t: 3, j: 1, q: 1, l: 1, g: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 2*j**2. Let g(d) = 801*d - 55*d**2 - 801*d - 262*d**2 - 113*d**2. What is g(s(t))?\nAnswer: -1720*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - i - 23 = 0, -5*y = -y - 3*i + 27. Let r = -2 - y. Suppose 1 = r*l - 15. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -l**3 + 14*l**2 - 2*l + 27. Let b be k(14). Let n be (-25)\/b - -18*15\/(-90). Solve 5*t + n - 12 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -323741 (base 10) to base 14\nAnswer: -85da5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 7899.0066ns in days?\nAnswer: 0.0000000000914236875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47*b = b - 48 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 57.68 - 60.1. Let v = j + 2.42. Which is greater: v or -110?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + ((-1*sqrt(90))\/sqrt(2))**2*2.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*m + 2*m**3 + 2626 - 2636 - m**4 - 3*m to v*m**2 + u + c*m**3 + z*m**4 + p*m and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 0 + 1 - 1 - 3*n + 1. Suppose 5*r = 204 - 214. Determine s(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i**5 - 146*i**4 + 1430*i**3 - 4166*i**2 + 4616*i - 1736 = 0.\nAnswer: 1, 2, 7, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 3*u = 8 + 10, 0 = -3*f - 5*u + 8. Calculate the remainder when 23 is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the first derivative of -m**4\/32 - 89*m**3\/24 + 1102. Solve j(v) = 0.\nAnswer: -89, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 75 = 5*o + 20. Let s(f) = -o + 3*f - 18 + 33. Suppose -13*g + 3 = -14*g. What is s(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -130*h - 191*h = 66*h - 19597293. What are the prime factors of h?\nAnswer: 79, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 347*-0.5.\nAnswer: -173.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:25 AM and 1:27 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x**4 + x**3 + 3*x**2 - x - 2 = 0 for x.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = -749 - 599. Is 7 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 340859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 + (-2 - (11 + -9)) - -11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/(-21))\/(-5 - 363\/(-77)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 13*b = 5295. Does 34 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 2*z + 9. Let d be y(-5). Let u(t) = -3*t**2 + 3*t + 3. Let s be u(-2). Let j be (s\/20)\/((-2)\/(-8)). Which is the smallest value?  (a) d  (b) 2  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -5130604959, -5130604958, -5130604957?\n\"Answer: y - 5130604960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Are 578620 and 1157239\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = m - 0*m. Let f(u) = -u**3 - 3*u**2 + 7*u + 1. Let b be f(m). Is 16 a factor of (-3)\/9 + b\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = 4*x - 0*v - 6, 0 = -3*x - 3*v. Suppose 2*r - 47 = -43. Is r smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4941 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -84, 68, 4 in increasing order.\nAnswer: -84, 4, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 0*l = 0. Let u be 1\/(-6)*-2 + 5\/(-105). What is the nearest to -1 in -2\/17, l, u?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*d**5 - 3070*d**4 + 6840*d**3 - 4370*d**2 + 625*d = 0. Calculate d.\nAnswer: -125, 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 496931647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-3*l + 2*l + 3*l)*(-3*l - l + 6*l) - l**2 + 6*l**2 - 3*l**2)*(-17*l - 20*l + 9*l)*(4 + 2 - 4) as h*l + t*l**2 + f*l**3 + i and give f.\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 522208185 to the power of 1\/2, to the nearest integer?\nAnswer: 22852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-1)\/(-4) - 17\/8 and 38\/60*(-10)\/(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 194 minutes before 6:59 PM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 506 and 748.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = -2*p - 102. Suppose d - p = -d. Calculate the remainder when 48 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3828 and 1452.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 29, 14, -31, -112, -235, -406, -631, -916?\n\"Answer: -p**3 - 9*p**2 + 19*p + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -83 - -80.98. Let z = n + -82.98. Let r = z - -85.0053. What is r rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4 - 35?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 166 + 18c9d?\nAnswer: 19025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 2*b + 3. Let c be (1 - 5)*39\/(-26). Let v(h) = -2*h - 4. Give c*d(i) + 5*v(i).\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -22*z**3 - 3*z**2 + 2. Suppose 26*b - 21*b = 455. Calculate the remainder when b is divided by y(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 6190001*t**2 + t - 2. Let c be f(1). What is c rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 128676 to the power of 1\/2, to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2 + 3)\/((-1)\/3). Let d = 15005 - 15005.4. Which is the closest to z?  (a) 0  (b) 4  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3873243 (base 9) in base 4?\nAnswer: 20010113112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 1, j: 3, p: 2, r: 7, g: 4}. Give prob of sequence pjpf.\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 443322 (base 5) to base 3.\nAnswer: 210012200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 48\/2 - (-5 - -7). Let l = 18 - 9. Let j = i + l. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6866, 15331, 25404, 37085?\nAnswer: 50374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-124002)\/75779)\/((-4)\/198)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/(-3) - (-5662)\/3. Let u = -116159989\/61558 - 311\/4397. Let j = s + u. What is the common denominator of j and 109\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (sqrt(11)*1)**2 + -3)*4*6.\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 7*a**2 - 5*a - 75. Let b(x) = x + 3. What is 5*b(v) + h(v)?\nAnswer: 7*v**2 - 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -13 - 26. Let s be 1\/(1 - (-38)\/y). Suppose 0 = 4*o - 117 - s. What is the greatest common divisor of 13 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 6311083.1 days?\nAnswer: 901583.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 528, 529, 530, 531, 532?\n\"Answer: t + 527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*f - 3*i + 21, 20942*f - 20940*f + 3*i + 14 = 0 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 70\/20 - (-1)\/(-2). Solve g*c - 6*c = 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 21\/45056500 and 91\/41805?\nAnswer: 405508500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h**2 + 6*h - 11. Let q be i(-8). Let d(p) = -q + 10 + 4 + p**2 + 4*p. Let f(u) = -u. Let j(l) = d(l) + 4*f(l). Differentiate j(s) wrt s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2*-0.006\nAnswer: -0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 15) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -3*x + 30. Let m be q(10). Solve 2*a - 3*o - 2*o + 12 = m, -4*o = -16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 2*w**2 + 9*w + 5. Let b be (11 - 12)\/(-2 - 33\/(-15)). Let o be z(b). Calculate the highest common divisor of o and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (18\/15)\/((-4)\/20). Let d = 8 + s. Suppose -525 = 3*r + d*r. What is r rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 > -265\/916138?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2 + 2. Let t = u - 3.9. Let p = 6 - 6.01. Is t greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -105\/6344 and 119\/1846104.\nAnswer: 1846104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*o - 192 = -3*o for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a**3 - 32*a**2 + 35*a + 85. List the prime factors of t(-34).\nAnswer: 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*18\/10*(-21)\/((-1197)\/(-190)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 12149 + -12135. Solve 0 = -3*i - 4*x + r, -4*i = -9*i + 4*x - 30 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in l**2 - 11*l**2 + 10*l**2 + 7*l**2.\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -8 - 4 - 85*v - 24 wrt v?\nAnswer: -85","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve m + 4*m - 4 = t, t - 10*t + 77 = -3*m + 29 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*m - 5*m + 5, -s - m + 1 = 0. Put s, -2, 5 in descending order.\nAnswer: 5, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -105949*z - 867. Let j be o(-3). Round j to the nearest 10000.\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-72 - (3 - 6)) + -22 + (-4 - (4 - 33))\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 164 divide 12546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -17*w + 35*w + 16*w + (1 - 4 + 4)*(-w + 4 - 4) - w - 3*w + 3*w + (0 - 5 + 3)*(2*w - w + 0*w) + 0*w - 2*w + w + (-4*w + 0*w + 2*w)*(0 + 0 - 1).\nAnswer: 31*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*o - 111*o**2 + 83*o**2 - 526 + 527 - 134*o**2 + o**3 as i + u*o + h*o**3 + k*o**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 0*y + o + 7 = 0, y - 5 = -o. Let u be (y - 7)\/(2 + -1). Which is the nearest to -1\/3?  (a) 0.4  (b) -2\/5  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the second derivative of 1\/20*r**5 + 5\/3*r**3 + 0 - 5\/6*r**4 - 4*r**2 + 11*r. Let o(g) = g**3 + g**2 - 3*g + 3. Let v be o(2). Determine l(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = -4*i - 152 - 296, 8 = 2*l. Which is the fourth smallest value?  (a) 0.4  (b) i  (c) -8\/7  (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -13.6392 and 0.015.\nAnswer: -13.6242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -6*n - 7. Let r(u) = 2*u + 2. Give -4*o(c) - 18*r(c).\nAnswer: -12*c - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -24, 1, -2, -5 in increasing order.\nAnswer: -24, -5, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 0.2+-974694.75858\nAnswer: -974694.55858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 5*n**2 + 2*n - 8. Suppose -23*j = -223 + 39. Let p(q) = 2*q**2 + q - 3. Give j*p(r) - 3*k(r).\nAnswer: r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/8*(-2)\/(-5).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -2*t**2 + 5*t + 11. Let o be x(-7). Let y be (1 - 2)\/((-7)\/14) - o. Let k = y + -23. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/2*68\/(-408)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -5a6fe (base 16) to base 2\nAnswer: -1011010011011111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = a**3 + a**2 + 10*a - 1. Let u(v) = -v**3 - 11*v + 2. Let k(i) = 5*b(i) + 4*u(i). Give k(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1 - 11c912?\nAnswer: -11c913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r + 78 = -4*k, -2*k + 29043*r - 108 = 3*k + 29042*r for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 30\/75*5\/(-3).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -106655 divided by 6?\nAnswer: -106655\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -4441 + 24?\nAnswer: -4414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 47 is divided by (2 - (-60)\/(-25))\/(1\/(-40)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j + 188 = b + 185, 3*b - 9 = -5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = -2*a - 2*z, 3*z - 8 + 25 = -a. Let m = a + 0. Let y be 4 + -3 + 0 + m. Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w = -3*y - 19, 0 = -3*y + 9*w + 31 + 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 16 and 1 - (-100)\/(20\/5)?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 11, h: 1, o: 1}. What is prob of picking 2 i and 1 o?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.016074354 rounded to 5 dps?\nAnswer: -0.01607","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 719 minutes after 6:46 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2*156848847.\nAnswer: 31369769.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*v + 43*v - 313*v + 141*v in the form s*v + d and give s.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 + -52 - (-1 + -1)) + (2800 - 2800)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.7  (b) -27.132  (c) -4  (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 32907 - 32798. Calculate the remainder when 4565 is divided by n.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 0 - 9*i + 14*i + 0. Let j(v) = -2*v. Calculate j(r(w)).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*j**4 + 5*j**4 + 0*j**4 + 342 + j**4 - 325 - j**3 to the form t + z*j**3 + y*j + o*j**4 + x*j**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 111338152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (30\/105*35\/(-3))\/((4736\/999)\/64).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.4 and -5.54534.\nAnswer: -2.218136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from kkkkkkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 76 = -3*b + v, -4*b - 2*v + 72 = 0. Calculate the remainder when (1 - 20)\/(2\/(-4)) is divided by b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**3 + 8*r**2 - 15*r - 125. Determine x(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 51?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5798949?\nAnswer: 3, 13, 148691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 + -1 - (10 + -26).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 82.61529l?\nAnswer: 82615.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -85 = -4*z - 0*z - 3*m, -10 = 2*m. Let y be z\/15 - 9\/3. Let v = -1.13 + 1.33. Which is the nearest to 0?  (a) y  (b) -1\/9  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k**4 - 76*k**3 + 396*k**2 - 324*k = 0. What is k?\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 5*o = -871, 975 = -5*r - 5*o + 2360. Is r - (-4)\/(-4)*2 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(((sqrt(133) - 1*sqrt(133))*2 - (sqrt(133) - 1*sqrt(133))*-3)\/(sqrt(252) + (sqrt(448) - -2*sqrt(448))))**2*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -5*k**2 - 10*k + 11. Let t(f) = 4*f**2 + 8*f - 9. Let a(d) = 5*o(d) + 6*t(d). Give a(4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 104, -3, 59817 in ascending order.\nAnswer: -3, 104, 59817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n**2 - 81804330*n + 557662367229075 = 0.\nAnswer: 13634055","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11 + 100111010111010101100?\nAnswer: 100111010111010101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Are 2 and 46\/17 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -529369*l - 17. Let z(v) = 2*v**2. What is y(z(h))?\nAnswer: -1058738*h**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + o = -4. Suppose -o*z + 16 + 64 = 0. Suppose 0*s + 5*c = -3*s + z, -4*s = 2*c - 58. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 15299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -31 - -47. What is the highest common factor of p and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 61*u**2 - 12*u + 7. Determine c(3).\nAnswer: 520","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = -4*a + 27, -16 = -4*a + 3*i + 5. Let p be (-14)\/(-8) + 1\/4. Suppose -4*n = 5*v - 2*n - 71, p*n = a. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21 = -s + 24*o - 29*o, 4*o = -2*s + 18 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by 2387958\nAnswer: 1\/795986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 10 = o - 11, -5*o - 6 = v. Sort v, 3, 23, 7.\nAnswer: v, 3, 7, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -13\/20  (b) 0  (c) 2\/15  (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 44 a factor of 936525436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 8\/5, -68, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-18)\/(-8))\/3)\/((-120)\/64*7)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/(-9*12\/36)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 198700 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-8)*(-302 + 26)\/(-23).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.99777766 take away -0.6?\nAnswer: -1.39777766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -414989, -414990, -414991, -414992?\n\"Answer: -y - 414988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 times 548\nAnswer: -54.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 21 - 44. Let v = -25 - t. Let j be 5 + -8 - 28\/(-10). What is the closest to 0.1 in j, v, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -16749105*j**4 + 45320*j**2 - 94*j + 1 wrt j.\nAnswer: -401978520*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 29 - 16. Let i = -12.6 + k. Which is the closest to -1?  (a) -0.3  (b) i  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8443217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 953 a factor of 34611054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1327930592 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -15 - 1*(-2 + 3). Let j be 12\/(-3 - y\/6). What is the tens digit of (12\/18)\/((-2)\/j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = -q. Suppose 5*t - 15 + 65 = 0. Let h be t\/(-4)*(-18)\/270. What is the closest to 2\/3 in q, h, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 41*f + 2625. Give b(-67).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1 - -0.97. Let m = -1.3 - -1.5. Put m, -3, -1, d in decreasing order.\nAnswer: m, d, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 30\/34 + ((-40)\/(-85))\/4. Suppose 0 = h + 3*b - 26 + a, 5*h + 4*b = 70. What is the smallest common multiple of h and 28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 108*q - 609444 = 102*q. Let s be q + 29 - ((2 - 0) + 1). What is s rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 573 minutes before 1:50 AM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -282 - -2417?\nAnswer: 2135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 97081058 is divided by 12135132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(170) + (-2*sqrt(170) + sqrt(170) - sqrt(170))))\/((sqrt(240)\/sqrt(4))\/sqrt(6)).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1474 or 1476?\nAnswer: 1476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 4728579.36 to the nearest ten thousand.\nAnswer: 4730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iwww when four letters picked without replacement from {i: 4, w: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5 + -2300?\nAnswer: -2305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 204\/14*(255\/(-72) - (-131)\/(15720\/(-135))).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -74*m - 562. Let a be l(-8). Calculate the highest common divisor of a and 192.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 35 + -20. Let p(i) = 2*i**3 + 139*i**2 + 223*i + 1430. Calculate the remainder when p(-68) is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1877 + 1910.48. Let h = i + -32. Round h to 1 decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/2  (b) 0.1  (c) 4\/5  (d) -2148  (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 3  (b) 8  (c) -0.03  (d) -5  (e) -4  (f) 0.6  (g) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 13\/4 + -11\/4. Let q(y) = -18*y**2 - 143*y + 3. Let t be q(-8). Which is the nearest to -1\/3?  (a) i  (b) t  (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 40299 and 3633.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4266217227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**(-10)*g*g)\/g*g\/g**(-1\/4) assuming g is positive.\nAnswer: g**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 247205*j**3 + 8*j**2 - 16*j + 550575567 wrt j?\nAnswer: 741615*j**2 + 16*j - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r**3 + 58*r**2 + 59*r - 164. Let w be q(-58). Round w to the nearest 100.\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 0.6121236 months?\nAnswer: 0.000510103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1286*x - 2564*x + 1279*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-2)\/((-32)\/20))\/(6\/(-96)). Let j be 7\/(231\/(-4))*2\/x. Is j bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 1, v: 2, i: 10, f: 1}. Give prob of picking 1 z, 1 f, and 1 i.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -26\/81 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 10*423\/135*-90. Let b = -20 + 10. Let i be b*(p\/1)\/2. Round i to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -3*o**2 + 5*o + 8. Let j(b) = -26*b + 437. Let n be j(17). Let m(i) = 2*i**2 - 3*i - 5. Give n*g(y) - 8*m(y).\nAnswer: -y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2401 - 1449 - 952 - 4*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 351, 442, 533?\n\"Answer: 91*d + 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 76963.\nAnswer: 76963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 28  (b) 872  (c) -3\/2  (d) -0.1  (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-18)\/8)\/((-4)\/(-48)). Let g = o - -30. Solve -g*f + 10 = -f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that -2*n**3\/13 + 8*n**2\/13 = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -2*c - 2*c + 2*c + c**2 + 56. Let n(w) = 6*w + 306. Let p be n(-51). What are the prime factors of b(p)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.015363 rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 2 = 0, 0*w - w = 2*z - 19. Let k(t) = -t**3 + 8*t**2 + 7*t - 13. Let s be k(z). Let a = -15 - s. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3122*m**3 - 11136*m**3 + 8017*m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 30375 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = r**2. Let l(i) = 3*i - 28741. What is l(p(x))?\nAnswer: 3*x**2 - 28741","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 351256 a multiple of 529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1459 = 553173*s - 553061*s - f, -s - f - 10 = 0 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -711906 less than 35?\nAnswer: 711941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48*i + 28 = 53*i - 4*q, 2*q = 4*i - 20. Let r(p) = 118*p**3 + 2*p**2 + 13*p + 3. Is r(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-27)\/40)\/(-3))\/(4*(-15)\/80).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 344030 to the power of 1\/2, to the nearest integer?\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 456*c + 69704 - 28697 + 62081 = -1060*c for c.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6891?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -158298 (base 11) to base 15.\nAnswer: -4ca03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -3*j - 6. Suppose -15 = 5*q + 4*n, 5*n + 34 = -4*q + 13. Let m be 69 - 69 - (q - 5). Let d(w) = 3*w + 7. What is m*d(c) + 5*o(c)?\nAnswer: -3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000423519133 to 7 dps.\nAnswer: 0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in -3\/5, -2, 1\/4, -12?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.191 + -1.41. Let i = r + 0.619. Which is the nearest to -2?  (a) 20  (b) 1\/3  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 130916 and 874.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*g*r**2 + g*r - g - 695*r**2 + 3*r - 16 wrt r.\nAnswer: 6*g - 1390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Are 2 and 2738 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 7833888893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the third derivative of -i**7\/210 - 13*i**4\/12 - 5*i**3\/2 - 13*i**2 - 1. Differentiate h(s) with respect to s.\nAnswer: -4*s**3 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*v**2 - 213*v - 210.\nAnswer: -3*(v + 1)*(v + 70)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that 4*u**5 + 242764*u**4 + 6308940*u**3 - 13346188*u**2 + 6794480*u = 0.\nAnswer: -60665, -28, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -27847 (base 10) to base 15\nAnswer: -83b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2\/85 - -89\/170. Let n be (((-14)\/6 + 3)*3)\/1. Factor -r*i**n + 0 + 0*i + 1\/4*i**3.\nAnswer: i**2*(i - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 13*m. Let c(i) = i - 8935. Calculate v(c(g)).\nAnswer: 13*g - 116155","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -5*u - 0*u. Let v = -5 - u. Let s be (-4 - -3)*(2 + v). Solve 2*g - 4 = 2*i, s = -i - 5*g + g - 7 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 256 a factor of 36264853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (38 + 18 - 14)*(-4*z - 6*z + 3*z)*(-3 - 1 + 3) + (-2 + 2 + 2)*(-6 + 6 - 5*z) + (3 + 2 - 2)*(2*z - 2 + 2).\nAnswer: 290*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 93*y**2 - 42*y + 339. What is the units digit of s(13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of (-3096)\/(-156) + 1*(-4)\/(-26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w**3 + 48 + 3*w**3 - 3*w**3 - 4*w**2 + 7*w - 63. List the prime factors of c(6).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 18930\/(-110) + (-3)\/(-33). Let m = k - -345\/2. Let 1\/2*z + z**2 - m = 0. Calculate z.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_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: What comes next: 1578, 3093, 4608?\nAnswer: 6123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 7852 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 57221 (base 8) to base 9\nAnswer: 36178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6007 + -5668. Which is greater: 347 or z?\nAnswer: 347","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1840290141?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -441 = -3*t - 81. Let h be t\/((18\/56)\/((-42)\/(-49))). Let v = h + 123. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*l + 3*l - d + 365, -4*l + 366 = 2*d. What is the highest common factor of 13 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 3*f**2 + 8815*f - 567256. Give b(63).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5 + -12. What is the nearest to 2 in -3\/5, l, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:47 AM and 7:37 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -85\/6 + 29\/2. Let s = -2.32 + -0.68. What is the second smallest value in 0, v, s, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -508 + 500. Which is greater: 5 or m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 210 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -14461*l**4 + l**3 + 6*l**2 + 5017?\nAnswer: -347064*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at most -6\/9881?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 2*y + 0*y + 4*y. Let q be b(1). Let o(t) = t + 4. Let i(n) be the third derivative of n**4\/24 + 5*n**3\/6 + n**2. What is q*i(h) - 7*o(h)?\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -543*1\nAnswer: -543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 5, 90, 2 in decreasing order.\nAnswer: 90, 5, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-2)*b)**(-2\/11)\/(b**(1\/5)\/b*(b**(2\/37)*b)\/b))**(-2\/131) assuming b is positive.\nAnswer: b**(-3776\/266585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u\/(u\/((u**(-16)*u*u)\/u))))\/u)**(9\/11)*u**(-25)*u\/u**18 assuming u is positive.\nAnswer: u**(-327\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 0.03 times 0.070605\nAnswer: 0.00211815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, g: 2, f: 2, m: 5, t: 6}. Give prob of sequence gm.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 30412121 (base 5) to base 15\nAnswer: 4d641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 56 = -6*x. Let y be (-126)\/(-7) + 2\/1. What is the remainder when (-1)\/((-6)\/y)*(-198)\/(-12) is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -495976.888 to the nearest 100.\nAnswer: -496000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -1280.5546 to the nearest integer.\nAnswer: -1281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*h**3 + h**3 + 13*h**3 - 17*h**3.\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.8 - 0.8. What is the smallest value in m, -17, 2\/9?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 33168, 132614, 298358, 530400, 828740, 1193378, 1624314?\nAnswer: 2121548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 873*b**2. Let g(p) = p. Determine i(g(l)).\nAnswer: 873*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 64\/1595 and -41\/5075?\nAnswer: 55825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -i**4 + 3*i**5 + i**4 + (0 - 2 - 4)*(-i**5 + i**5 - i**5).\nAnswer: 9*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 39 + -17. Let b = i + -22.2. Sort b, 1, 0.07 in decreasing order.\nAnswer: 1, 0.07, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1210 - 5?\nAnswer: -1215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 2978, 5956, 8934, 11912?\n\"Answer: 2978*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3  (b) -4  (c) -7  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = -6*z. Suppose -30 - 15 = -9*y. Let f = 61 - 46. Put f, y, -3, z in ascending order.\nAnswer: -3, z, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -47 (base 10) in base 11?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -34, -71, -132, -217?\n\"Answer: -12*c**2 - c - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + (214 + -151 - (6 - -12)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -221 (base 3) to base 7\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = u + 37. Let b be k(7). Suppose -6*p + b = -40. What is the greatest common divisor of p and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 48\/20 + (-10)\/25. Suppose -1 - 4 = g, b*r - 3*g = 3. Does 14 divide r\/(0 + (12\/(-153))\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8284323 to the nearest integer?\nAnswer: 2878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2 + -58?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2179838705.\nAnswer: 5, 11, 79, 367, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/v**(-2\/3)*v**(-2\/3)*v)\/(v**(2\/19)\/v**(-1\/4)) assuming v is positive.\nAnswer: v**(125\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 27 - 12. Solve -f = -5*l, -4*g - 3*l + 15 = 2*l for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z**2 + 19*z + 21. Let n(m) = m**2 + 19*m + 21. Let l(r) = 7*c(r) - 6*n(r). What is l(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*l = 15*l + 261. Let k = -24 + l. Suppose 0 = -5*y + 2*z + z + 32, 5*y + 5*z = 0. Solve k*g + 12 = -y*f, 0 = 2*f + f - 6 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6168 divided by -24\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -39237891*b**2 - 1796754*b + 7?\nAnswer: -78475782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 643 + -665. Sort 2, 4, j in decreasing order.\nAnswer: 4, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -3 - (-7 - (-1 + -3)). Solve q = -2*j + 5*j + 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 15.732862 to 1 dp.\nAnswer: 15.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = a + 0*a + 0*a - 2*a. Let v be r(6). Let c(f) = f**3 + 6*f**2 - 3*f - 7. What is the units digit of c(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -349 - -155. Let p = -190 - i. Solve -4*s = 5*n - 26, 8 = -3*s + p*s + 2*n for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + 2 + (4 - 3 - 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l**2 - 8*l - 1. Let b(q) = -q**3 - 4*q**2 - 4*q + 1. Let w be b(-3). Let v be h(w). Let c = 30 + v. List the prime factors of c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2014543 + 0?\nAnswer: 2014543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 5*c**2 - 13. Let a(r) = -4*r**2 + 12. Give 7*a(s) + 6*v(s).\nAnswer: 2*s**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 573704*t - 11110761 wrt t.\nAnswer: 573704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 2 - -1319597\nAnswer: 1319599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 - -18 - (2 - 6 - -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 355, 1436, 3239, 5764, 9011, 12980?\n\"Answer: 361*s**2 - 2*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22 (base 14) to base 3.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 13\/2  (b) -5  (c) 1  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*g**2 + 3*g**2 - 2*g**3)*(3*g + 47 - 10 - 24 + 2*g**2).\nAnswer: -4*g**5 - 6*g**4 - 26*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 338*o - 1037 = 991 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1 - -9. Let t be (4 - h)*5\/3. Round t to 0 decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 25085, 26759, 28439, 30125?\n\"Answer: 3*b**2 + 1665*b + 23417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10612816 is divided by 74738.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.05 or 34303?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-1 + 1 - 2*y)*(-3 + 2 + 3) + 0 + 0 + 3*y)*(-323 + 165 + 163) as z + i*y and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 2*o**2 - 649*o + 8168. What is r(13)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -21*r - 9 - 7 + 0 - 10093*r**2 + 10097*r**2. Determine m(7).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 400 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 0.13 - 133919666057\nAnswer: -133919666056.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6446 + 4*n + 6*n + 1141.\nAnswer: 10*n - 5305","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 8, 39, 72, 89, 72, 3?\n\"Answer: -3*s**3 + 19*s**2 - 5*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a decade in years?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 18\/(-14) - 15\/(-15). Let r = -0.17 - 0.3. Let t = 0.03 - r. Which is the third smallest value?  (a) -2  (b) t  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 227 divided by 227?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f**5 + 46*f**4 + 410*f**3 - 1726*f**2 - 2088*f = 0. What is f?\nAnswer: -9, -1, 0, 4, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2)\/(-9) + ((-218732930)\/(-450) - (-156)\/(-65)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 18\/4*2\/3. Suppose 0*h + x*h = 15. Suppose -2*v - 2 = -5*g, 5*g - 28 = g - h*v. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8 - -18. Let m = 52 + h. Suppose -5*l - 2*b = 2*b + 78, 5*l = 4*b - m. Is l at most as big as -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -532*z + 539*z = -28 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrddurdauu. What is prob of sequence ur?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 7344883 to the power of 1\/2, to the nearest integer?\nAnswer: 2710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*m + y + 100, 0 = 2*y - 13 + 3. Let r be (-72)\/(-84)*1*m\/(-6). Solve 3*t + 0*t + 6 = r*c, -3*t - 24 = 3*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1087 in -0.3, 4\/5, 27?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Is -611.3 bigger than 191\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t**4\/11 - 16*t**3\/11 - 36*t**2\/11 + 144*t\/11 + 162\/11 = 0.\nAnswer: -3, -1, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v**3 - 335*v**2 - 5*v + 335 = 0.\nAnswer: -1, 1, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 126 is divided by 20.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.99 + 2. Let m = -1.72 + 4.71. Let r = m + o. Which is the biggest value?  (a) -0.2  (b) 4  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4*(-7)\/(-70))\/(4\/(-20)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) -0.94  (b) 0.5  (c) 2  (d) 1\/532\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00797031 rounded to four decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 8*v**2 + 2581*v + 92559. Determine f(-41).\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 28*a**3 - 7*a**2 - 7. Let k(r) be the second derivative of 9*r**5\/20 - r**4\/6 - r**2 - 27*r. Give 2*f(g) - 7*k(g).\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k**2\/2 - 36507*k\/2 - 3836822 = 0. Calculate k.\nAnswer: -209, 36716","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 376814328?\nAnswer: 2, 3, 11, 129757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 47201 + -17424. Suppose w - k = -10*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the third derivative of -g**8\/14 + g**4\/8 + 18*g**2. Find the second derivative of x(r) wrt r.\nAnswer: -480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 213*o**2 - 219*o**2 + 443*o**2 + 0.\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-198)\/36*4*(-2)\/(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 714*p - 2 + 78*p**2 - 77*p**2 + 2.\nAnswer: p**2 + 714*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*x, -i + 4 = 4*x - x. Suppose 0 = i*f + 8*f - 240. Calculate the highest common factor of f and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -5*o**3 - o - 1. Let i be y(-1). Suppose -v + 4 = 0, 2*g - 6*g - v = 12. Put i, 0, g in ascending order.\nAnswer: g, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 1403339?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11978?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/7, 59\/4, 0.1, 2\/7.\nAnswer: -2\/7, 0.1, 2\/7, 59\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -4224\/1015 bigger than -129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 minutes before 8:28 AM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/6 of a hour in minutes?\nAnswer: 290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((15444\/260)\/297)\/((-1*11)\/(-1)).\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 675 minutes after 1:11 AM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b**2 + 18*b - 23. Let i be h(16). Let k(p) = -83*p - 13. Let u be k(i). What is u rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10011010 (base 2) to base 4.\nAnswer: 2122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -71*z - 5*z + 401 = -1727 for z.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**2 - 20*v + 96. Determine t(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 15 - -60667?\nAnswer: 60683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*u - 24 = 0, -320*u = 5*w - 820*u + 495*u - 75 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1902658*h**6 - 4*h**3*y**2 + 1236*h**2*y**2 + 3*y**2 + 1109*y wrt h.\nAnswer: -228318960*h**3 - 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -462 divided by 6?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -72 + 349. Calculate the remainder when j is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -4*32 - (2 - 0). Let a(z) = z**2 - 2*z + 2. Let i be a(-4). Is 4\/i + (-4790)\/d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 2*g = 0, 0 = 3*z + 3*g - 8*g - 26. Let d(w) = w**3 + 4*w**2 - 2*w - 5. Let r be d(-4). Which is bigger: r or z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 154000 divided by 176\nAnswer: 875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -7*q**2 + 274*q - 57. Give o(39).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -46*h + 4*h**3 + 44*h - 85*h**3.\nAnswer: -81*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -88 or 5?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 8510917 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 the next term in -31006, -62692, -94378, -126064?\nAnswer: -157750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a day in minutes?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2953 and 6?\nAnswer: 17718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-36)\/12*(-2)\/6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3, 1\/3, 1, 6, -2, 334.6, 0.1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 12*c**2 + 528*c - 7255. Calculate m(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (30 - 27*r - 30)*(3 - 1 + 0) + (-2 - 2 + 5)*(365 - 365 + 2*r) as j + c*r and give c.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -63 + 88. Let k be (z - 3) + (-2)\/1. List the prime factors of ((-9)\/(-5))\/(6\/k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4 + (2 + -548)\/(-6). Let n = -80 + m. Calculate the greatest common divisor of n and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 110980945071 and -0.4.\nAnswer: 110980945070.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 109\/800 and -37\/18.\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve q**4\/5 - 4083*q**3\/5 + 8162*q**2\/5 = 0 for q.\nAnswer: 0, 2, 4081","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6933828 rounded to 4 decimal places?\nAnswer: 0.6934","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - m + 1834 = -1113, -y = 2*m - 742. What is the remainder when y is divided by 195?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 24 = -9. Suppose -j*b + 0 = -10. Find the common denominator of -27\/2 and ((-4)\/80)\/(b\/46).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -43*l - 641. Calculate the least common multiple of 2010 and g(-15).\nAnswer: 4020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the first derivative of -31*u**2 - 4*u - 9. Let x be z(-3). Suppose 4*q + 1178 = 4*r + x, -752 = -3*r + 2*q. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 325 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 405 and 855.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*x**4\/2 + 25*x**3 + 85*x**2\/2 + 20*x.\nAnswer: 5*x*(x + 1)**2*(x + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/37 in -2\/3, 4, 11\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -185 divided by 5608.\nAnswer: -185\/5608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1147 and 1375512.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -3*x. Suppose 0 = -4*r + 36 + 92. Let a = r - 46. Let j = a + 9. Let n(t) = 4*t. Calculate j*n(m) - 6*q(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.01 - 1.01. Let z = 2563\/19 - 135. Let q = -2.08 - -2.58. What is the nearest to d in -0.2, q, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.2 + -2.312.\nAnswer: -2.112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 17887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/8  (b) 448\/9  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j**3 + 3*j**2 + j - 2. Let n be p(2). Suppose -280 - 56 = -n*w. Suppose 5*x = x + w. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l**2 + 45*l + 284. Calculate m(-37).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = f**2 + 7*f + 2. Let w be j(-5). Let m = -14779 + 14773. Let l be 13\/2 + m\/(w - 4). Let s(h) = -h + 3. Give s(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9 - -14. Suppose -2*p + 43 = k*h, 0 = p - 2*h - 8. Is p a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 154 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-44)\/(-3) - (-1)\/3. Suppose 3*u - u + 4*b = -4, -i = -5*b. Let y be (3*-1)\/(12\/u). Solve -2*r - 45 = 5*l + y*r, -25 = 4*l + r for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 - ((7 - 14) + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u**3 + 14*u**2 - 24*u = 0. What is u?\nAnswer: 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-382*r**3 + 179*r**3 - 489*r**3)*(-9*r - 5*r + 13*r).\nAnswer: 692*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 5019 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 156\/(-15)*(-15)\/6. Suppose 4*q - i = -3*m + 14, 2*q - 34 = 2*m. Find the second derivative of 14 + q*n - 4 - 10 + 16*n**3 wrt n.\nAnswer: 96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 75\/2 of a litre in millilitres?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + t = -5*x + 25, 5*t + 5 = x. Suppose t*a + a = -3. Is (a - -5)*62\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (20\/440)\/(2\/((-48)\/2))\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1310, 0.24, -0.6, -2\/23?\nAnswer: 1310","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -14*i. Suppose -7*k = -2*k + 5. Is 9 a factor of p(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12\/7*31150\/(-2225)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is (4 - (-2732)\/4) + -2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-26)\/(-26))\/(8\/6*(-996)\/(-32))?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(5*sqrt(130)*1)\/sqrt(10)*-2)**2.\nAnswer: 46800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the first derivative of 3*r**4\/2 - r**2 + r - 1. Suppose 0 = -3*c - 66 + 69. Let b be k(c). Let u(p) = -p**3 + 5*p**2 - p - 3. Calculate u(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 849 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -49.6 + 50. Is 2\/13 greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.04746 + -0.05.\nAnswer: -0.09746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -152*u - 92. What is the remainder when 112 is divided by j(-1)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s + 15. Let d be n(-20). Let c = 49\/33 - -2\/11. What is the smallest value in d, c, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 463 minutes before 8:14 AM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.3 + 0.3. Suppose 0 = 8*t - 392 - 240. Let m = t + -83. What is the third smallest value in 0.4, c, m, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3823.\nAnswer: 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange x**3 - 2*x**3 + 6*x**2 - 8*x**2 + 3*x**4 to the form u + k*x**2 + q*x**3 + t*x + p*x**4 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**2. Let k(b) = -7169*b**2. Give k(o(d)).\nAnswer: -7169*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w**3 + 13*w**2 - 10*w - 21. Suppose -5*s - 15 = -75. Let h be n(s). Solve 0 = 4*k - 3*k - h for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 49*l**2. Let m(w) = -5*w - 14. Let v(d) = -3*d - 8. Let f(t) = -3*t - 8. Let n(u) = 3*f(u) - 4*v(u). Let b(a) = 4*m(a) + 7*n(a). Give r(b(c)).\nAnswer: 49*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -29311, -58624, -87939, -117256, -146575?\nAnswer: -175896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -2*q, 4*t = 3*t - 2*q + 9. Suppose t*n - 8*n = -105. Suppose 3*p - n = -2*v, 0*v + 5*p + 22 = 3*v. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -2*p**3 - 5*p**2. Let u(v) = 7*v**3 + 21*v**2. What is -21*q(y) - 5*u(y)?\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wkkk when four letters picked without replacement from wkwkwkkwwwwkkk?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 209*i**4 - 35745*i**3 + i**2 + 337967022*i.\nAnswer: 2508*i**2 - 214470*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1062*p + 14158 = 44956 for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -376*w - 7126 - 4927 = 3765 + 3358 for w.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 30 in -2, 0.2, -29, -118?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35 = 2*p + 5*u - 5, 37 = -5*p - 3*u for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7120 is divided by 253.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -70*i + 76*i - 6 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3169*x**3 + 69*x**2 + 7*x wrt x?\nAnswer: -19014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 176210237 is divided by 4739.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r + 5*z = -3418 + 3468, 8*r + 70 = 5*z for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*p**3 - 4*p**3 - 11141*p + 11141*p.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = x**2 + 3*x - 3. Let p(w) = -4*w + 60. Let y(n) = 2*n - 30. Let i(v) = 6*p(v) + 13*y(v). Let a = 286 - 273. Let t be i(a). What is b(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is (5 - 5) + ((-1)\/(-8))\/((-32)\/(-256))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 302859 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: What is the value of 1132\/849*(-23)\/(920\/2970)?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 16 and 27256?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 1, x: 4, a: 2, k: 2, s: 6, z: 2}. What is prob of sequence nk?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(91) - (sqrt(91)*1 - sqrt(91))*-1 - sqrt(91))\/sqrt(7) - (sqrt(13) + sqrt(13) + sqrt(1300) + -4 + 4)) + -1.\nAnswer: -12*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1119571194 to the power of 1\/3, to the nearest integer?\nAnswer: 1038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 + 22)*124\/50654.\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -50, -41, -28, -11, 10, 35?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41*t - 504 + 8663 = 0. Calculate the remainder when t is divided by 30.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 78, 76, 72, 66, 58, 48, 36?\n\"Answer: -k**2 + k + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 6*h - h. Let m = -25993\/18 - -1444. Put -3, 0.3, h, m in descending order.\nAnswer: h, 0.3, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0\/(((-10)\/(-20))\/((-2)\/8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -3*x + 2*x - x + 6*x**2 + 4*x - 1. Let g = -3 - -4. List the prime factors of b(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in one tenth of a century?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/166?  (a) -3.6  (b) 0.2  (c) 8  (d) 0.1  (e) 21.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 162.46 + -161. Let s = f + -0.41. What is s rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4279674 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -30?  (a) 4  (b) -5  (c) 1\/4  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -769680 divided by -5?\nAnswer: 153936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 4\/70469?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.830026 rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1983b8 - d?\nAnswer: -1983c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y + 6 = y. Let v be y\/9*(1 - -2). Solve 2*s - r - v = 4*s, -2*s - 5*r = -14 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-28)\/(-16) + (-3)\/(-24)*2. What is the second derivative of -13*s - 20*s**3 - s + y*s wrt s?\nAnswer: -120*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(-2)*((-26)\/(-13))\/(-4)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5601284 + 5601281.8800274. Let c = o + 2.12. What is c rounded to six dps?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1186103 less than -1186100?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3104*o - 154802 = 1449*o for o.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:31 PM and 8:04 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 18 + 3 - 291*a**3 + 10220*a - 10217*a wrt a?\nAnswer: -1746*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -222 + 218. Let u be (x + -1)\/((-17)\/(-5 - -3609)). Round u to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1876058.\nAnswer: 2, 31, 30259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1265582687*-0.2.\nAnswer: 253116537.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -2 - (0 + -3 - -1). Suppose -m + 4*l = 6, m - 5*l + 9 - 1 = f. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 155, -1\/5, 0.3, 0.1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 330 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = c - 3. Let r be t(11). Solve k + k - r = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 9, z: 10}. What is prob of picking 3 z and 1 g?\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 1, c: 1, a: 8, k: 2, z: 3, q: 1}. What is prob of sequence zscz?\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - -15) + -15 - (2 + -13).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = 4*v - 16, -v = -3*v + 4*o + 32. Let q = 10 - v. Find the common denominator of -13\/20 and ((-52)\/(-176))\/(q\/28).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1233424 divided by 16.\nAnswer: -77089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*i = 5*i. Solve i - 5 = -v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 + 8 = -2*v. Suppose 0 = -4*q + q + 2*i + 113, 0 = -4*q + 5*i + 160. Calculate the greatest common divisor of v and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 446592 and 1120?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 95 is divided by 207\/6 - (-2 - 10\/(-4)).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -504, -5 in descending order.\nAnswer: -4, -5, -504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 166819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -181 - -197.8. Let q = 24.8 - i. Put q, -0.2, -4, -1\/6 in descending order.\nAnswer: q, -1\/6, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 11*g - 7*g. Suppose g*o = -9 + 105. Find the second derivative of 25*z - 1 + 1 - 11*z**4 - o*z wrt z.\nAnswer: -132*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4284.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -42460*b + 552182. What is d(13)?\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3)\/(-9)*(14 + -14)*(-10)\/(-50). Suppose 3*p + 2*w = 16, -3*p - p - 17 = -5*w. Sort 7, o, p.\nAnswer: o, p, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 54 - (1\/(-1))\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -28, -100, -220, -388, -604?\n\"Answer: -24*c**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*n**5\/11 - 13108*n**4\/11 + 52456*n**3\/11 - 52464*n**2\/11 = 0. What is n?\nAnswer: -6558, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 292963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 47 + 17*i - 44 - 7*i + 3*i to the form c*i + y and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-84)\/(-30) + -2 - (-872)\/10. Let a be 1\/((2\/59)\/(-2)). Let g = a + q. What are the prime factors of g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 343 = -295. What is the greatest common factor of 84 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 + 0 - 1)*(-5*p + 2*p + 2*p + (2*p - 4*p + 3*p)*(-3 + 0 + 2)).\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 162758 + -162756. Determine o so that 0 + 0*o + 0*o**w - 3\/5*o**3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.0297 + -0.1297. Which is the third smallest value?  (a) 10  (b) -5  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, 0, -0.3, -12\/17, 8, 3 in ascending order.\nAnswer: -12\/17, -0.3, -0.2, 0, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 (base 9) in base 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 20\/15*(-6)\/(-4). Let w be -2 + f + 0 + 0\/2. Suppose w = -4*t - 3*v + 262, -2*t - 4*v = v - 138. Is t a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3262.\nAnswer: 2, 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*u + 3*u + 3*o = 7*o - 56, -267*u + 12677 = 578*u - 2*o for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 32905662 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1222 or 86?\nAnswer: -1222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q - 110 + 45 = -2*v, 2*v - 637 = -57*q for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.02, -1\/3, -1, -15\/2?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -26 - -29. Suppose 3*d + 12 = -i*k, -d + 2*k + 0 = -2. Let r(o) = -15*o - 8. Let s be r(d). Solve 3*u = 2*u + 3*h + 4, 2*u + 4*h = -s for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u, 2 v, and 1 l when four letters picked without replacement from vbulubvulbuubll.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -1, 0, -1289513 in increasing order.\nAnswer: -1289513, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 2*s - 12 = 0. Let k be (-3 - -1)\/s - (-852)\/24. Calculate the greatest common divisor of 4 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1281161?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 50528 is divided by 8418?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that -u**2\/6 + 213821*u\/3 + 28656503\/6 = 0.\nAnswer: -67, 427709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -6369.081 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -212082*-3.\nAnswer: 636246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 604?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -3*s**3 + 2*s**3 - 15*s + 5 + 520*s**2 - 510*s**2. What is the smallest common multiple of q(5) and 25?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6518 + -6526. Let i(p) = -p**3 - 8*p**2 + 5*p - 14. What is i(y)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -138.7 - -134.7. Which is the closest to 0?  (a) 3  (b) d  (c) 143\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 541 + -524. Let s(p) = 23*p**2 + 11*p - 4. Let f(z) = 8*z**2 + 4*z - 1. Calculate a*f(d) - 6*s(d).\nAnswer: -2*d**2 + 2*d + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 43, -5, 14, 8, 3, 10 in descending order.\nAnswer: 43, 14, 10, 8, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5 + 3. Let w = -7 + r. Sort 3, w, 5 in ascending order.\nAnswer: w, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 40861330 or 40861322?\nAnswer: 40861322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 23 - 20. Suppose i + 7 = -2*f, -u*i = 3*f + 2*f + 20. Suppose 0 = -2*l - l. Put l, f, 5 in decreasing order.\nAnswer: 5, l, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -5*y**2 + 16*y + 27. Let q(j) = -3*j**2 + 11*j + 18. Let x(o) = -5*c(o) + 8*q(o). Let u be x(-9). What is the units digit of (-2)\/(-1)*u\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = j - 3. Let m(u) = -6*u + 14. Let z(a) = 11*k(a) + 2*m(a). Let i be z(-7). Suppose o + i*o = 6. Solve 3*g - 5 + o = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 93 - 7. Calculate the remainder when c is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3\/2, 9.2, 2, 4, -1\/3, -33\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 10*h - 40. Let b be z(5). Suppose -b*f + 15974 = 4*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2039, -8144, -18311, -32540, -50831, -73184, -99599?\nAnswer: -130076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 52 - 55. Sort 1, m, -1, 4 in increasing order.\nAnswer: m, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = -2*v. Suppose -3*m - 2*y = -14, y + 2 = -v*m + 3*m. Solve 3*a = -m*a + 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 20 + -102?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 113300002 (base 4) to base 2.\nAnswer: 10111110000000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -22*q**2 + q + 1. Let z be m(-1). Suppose -9 + 89 = 3*y - 16*j, 0 = -4*y - 3*j - 15. Which is smaller: z or y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -55*r**2 - 275*r - 17. Calculate b(-6).\nAnswer: -347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 494 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 at most as big as -59212\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 7*o - 2. Let i be a(1). Suppose i*q - q = 40. Suppose 0 = -2*z + q*z - 64. Is z a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:53 AM and 6:32 AM?\nAnswer: 279","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 rqqqqrqrqrq.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 643311?\nAnswer: 3, 71479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 37\/2 + -20. Let v be 5\/3 - (5 + -4). Which is the third biggest value?  (a) 1  (b) v  (c) 4  (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + (1 - 2) + 3 - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16.49896*0.5.\nAnswer: 8.24948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 665 - -4621511?\nAnswer: 4622506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5 - -3. Let g be (24\/10)\/(-3)*5. Let n = 0 - g. Which is the nearest to -0.2?  (a) 1  (b) n  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -3*u**3 + u**2. Let o be b(-1). Let k = 61 + -131. Let q = k + 74. Solve -q*w + w + s + 15 = 0, 4 = 4*w + o*s for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3586, 7119, 10654, 14191, 17730, 21271?\nAnswer: 24814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000062303 rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q - 4*q = s - 2, -4*q = -s - 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5  (b) -0.05  (c) -659  (d) 0  (e) -2\/7  (f) -1\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.202 + 0.054. Let s = -0.062 + y. Let b = -0.09 + s. What is the third smallest value in 0.4, b, 0.2, -8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h - 15. Let x be a(-11). Let n be -4787*(x + 3) + 3. Round n to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2745, 2737, 2727, 2715, 2701?\nAnswer: 2685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the second derivative of 3*d**4\/4 + d. Let z(i) = 2*i. Determine r(z(p)).\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 17239264 and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*o**2 - 2 - 2*o**4 + o**2 - 2*o + 3*o**4 as p*o**2 + j*o**3 + m*o**4 + k + q*o and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 3, 4, 6, -37, 89 in descending order.\nAnswer: 89, 6, 4, 3, -3, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 minutes before 1:52 PM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 189 + 13404*y**2 - 189 - 13242*y**2.\nAnswer: 162*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 72958 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: Which is the closest to -4873?  (a) 0.15  (b) 0  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor y**5\/4 + y**4\/2 - y**2\/2 - y\/4.\nAnswer: y*(y - 1)*(y + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 168 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 14 + -10. Suppose -2*s + 120 = k*s. Let w = 20 - s. Solve 4*n + 5*h = -3, w = -n - h + 3*h - 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 148 - 146. Let q(j) = -333*j - h + 168*j + 162*j. Calculate q(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -30.01078  (b) -13  (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -159592 <= -159466?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that -2*a**4\/5 - 66*a**3 + 78*a**2\/5 + 2546*a - 4620 = 0.\nAnswer: -165, -7, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.04?  (a) 1  (b) -2\/743  (c) 1.37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -n - 8. Let p be s(-8). Let j be -3 + 0 + 7 - 1. Let m = p + j. Solve 0 = -h - y - y - 5, -m*y = 2*h + 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = -8*s, -1062 = 3*o - 4*s. Let k = -297 - o. Is k not equal to 56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 179003 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -4*z**2 - 349 - 3*z + 349 - z**3. Suppose -2*i = -4*m + 8, 5*i - i = m - 2. Suppose -2*g + 1 = -5*p, -p = -2*g + m - 5. What is v(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 224*s - 1. Let v = -4 - -5. Is p(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -21 (base 5) in base 8?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 915 - 671. Let t = n - 244.2. What is the closest to t in -1\/3, 2\/13, -3\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 - 1)*(5*a**2 - 2*a**2 - 5*a**2) - a**2 - a**2 - a**2 + (0 + 0 - 1)*(2*a - 10*a**2 - 2*a) - 5*a + 5*a - 4*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 74\/(-111)*(-265)\/(-10) - ((-28)\/6 - -4)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 0*w + 18 = 0. Let m = 8 - w. Suppose 3*d - 27 + 9 = -3*b, m*d = 4*b. Solve 5 + 1 = -b*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) be the third derivative of -635*s**7\/42 + s**5\/60 + 79*s**4\/12 + 1641*s**2. What is the second derivative of i(h) wrt h?\nAnswer: -38100*h**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b = 8*t - 38, 317*t - 316*t + 1 + 1 = 0 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 89 + -125. Let j = 59 + g. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -88*p. Let o(u) = 24*u**2. Determine f(o(x)).\nAnswer: -2112*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12\/(-480)*-5)\/(1\/8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (13 - 457\/35)*10\/(-4).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 36 - 36. Suppose 3*i = -4*m - s*i + 17, 0 = 5*m + 4*i - 21. What is the highest common factor of m and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 3*d - 6*d + 2*d. Suppose 0 = 3*p - i + 5, 0 = -p + 3*p - i + 2. Determine h(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 4*t**2 + 17*t + 10. Let i(j) = 9*j - 38. Let n be i(4). Let l(w) = -w**2 - 4*w - 2. Let v(y) = n*c(y) - 9*l(y). What is v(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 174 - 170. Suppose -2*c = -0*c - x*w - 284, 470 = 3*c + 5*w. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/90)\/((-22)\/(-55))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2265515 and 1.5.\nAnswer: -3398272.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 2180206*o. Let v(w) = 2*w. Calculate y(v(g)).\nAnswer: 4360412*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -13*f**3 - 2*f**2 + 4*f - 2. Let p be i(1). Let u(d) = d**2 - 20*d - 79. Does 12 divide u(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 66 or 4391\/66?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-15)\/(-50)*75\/(-360)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -65*y + 298 = 38 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48*a = 55*a + 7 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1006 divided by 2?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 9 (base 13) to base 12\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -608, 0.2, -0.902, 1, -4?\nAnswer: -0.902","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0 + 3. Suppose 0*j + 12 = 2*j. Suppose 10*t = j*t + 12. Calculate the greatest common factor of r and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6096 times 0.0703?\nAnswer: -428.5488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fffauufkkuuuuuufkkk. What is prob of sequence ff?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 86, 615, 222\/13?\nAnswer: 222\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*u**2 - 6*u**2 - 2*u**2 + 24*u**2 - 4*u**2.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 79 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 2 - 4)*(1 - d**2 - 4 + 0*d**2)*(-48*d + 7*d**2 + 48*d).\nAnswer: -14*d**4 - 42*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, -0.2, 2, 3\/10, 1 in increasing order.\nAnswer: -0.3, -0.2, 3\/10, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -4*v + 53. What is the remainder when k(4) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 171491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by 58?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -e4 - 0?\nAnswer: -e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a hour in minutes?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 1, w: 2, l: 2, k: 1, p: 2, b: 5}. What is prob of sequence psk?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*t - 17*t + 31*t - t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rhxhxhdrhrhhxhxrhhh. What is prob of sequence rx?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 394092184.\nAnswer: 2, 953, 51691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 251 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -131489, -261600, -391707, -521810, -651909?\nAnswer: -782004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/10 in 2, -0.3, -0.4, -3\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -2*p. Let h(b) = -10*b + 11. Let o be h(5). Let g(y) = 19*y - 13. Let q(i) = 3*i - 2. Let j(v) = o*q(v) + 6*g(v). What is j(n(l))?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -9494991*r*w**5 - r*w**2 + 2*r - 6260*w**2 + 19*w wrt w?\nAnswer: -569699460*r*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 42149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -98*x**2 + 2*x - 3. Let a(f) = f**2 - f + 1. Determine 4*a(k) + o(k).\nAnswer: -94*k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -9?  (a) 0.01  (b) -2\/5  (c) 0.5  (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -20\/31, 1791\/13, 0 in decreasing order.\nAnswer: 1791\/13, 0, -20\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.5753247 millilitres?\nAnswer: 0.0005753247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2891796279?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 163, 329, 497, 667?\nAnswer: 839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5.412 - -5.93. Let v = 0.51799913 - m. What is v rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 3*y**3 + 4*y**2 - 6*y + 7. Let n(u) = 3*u**3 + 5*u**2 - 7*u + 8. Calculate 5*b(f) - 4*n(f).\nAnswer: 3*f**3 - 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, -5, 1, -0.04, 0.4, 106, 13?\nAnswer: 106","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 4*z**3 + 72*z**2 + 376*z - 33. Determine u(-9).\nAnswer: -501","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the second derivative of -3*k**5\/80 + k**4\/4 - k**3\/2 - 5*k. Factor t(l).\nAnswer: -3*l*(l - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -41.7 + 42. What is the second biggest value in t, -2\/7, 10?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*s - 44*s**3 - 39*s**3 - 43*s**3 + 128*s**3.\nAnswer: 2*s**3 - 26*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(95) - -2*sqrt(95)*-2) + -5*(sqrt(95) - (1*sqrt(95) + sqrt(95))))\/(sqrt(500)*-1*-4).\nAnswer: sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 40705116 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 4*u = 0. Let y(t) = 5*t**2 + t. Let a(x) = -11*x**2 - 2*x - 1. Let l(b) = -4*a(b) - 9*y(b). Calculate l(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z*z*z**(2\/9)*z*z*z\/(z*z\/(z\/z**(-4)))*z*z*z)**(-17))**(1\/63))**(7\/5) assuming z is positive.\nAnswer: z**(-1717\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the first derivative of -k**5\/60 + 2*k**2 + 2. Let n(d) be the second derivative of v(d). Let q(r) = -r. Give n(q(t)).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 12158*f**2 - 39757*f**2 - 2*f + 7*f. Let p be x(-5). Round p to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 4. Let w(j) = -j + 4. Let i = 36 + -40. Determine i*u(g) + 3*w(g).\nAnswer: -3*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 276, 2588, 8848, 21030, 41108, 71056, 112848?\nAnswer: 168458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*h = 3*h - 4740. Let y = -394 + h. Solve -j = -y, -t + 3 = -3*j + 6 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -119 * 1.11.\nAnswer: -132.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(6\/19)*(k\/k**36)\/k*(k*k**13)\/k**(-1\/21) assuming k is positive.\nAnswer: k**(-8633\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -551, -604, -729, -956, -1315, -1836, -2549, -3484?\nAnswer: -4671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -3*u**3 + 175*u**2 + 52*u + 54. Let b be m(59). Do -3840 and b have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 1568\/235765?\nAnswer: 1568\/235765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 20, 4\/233, -1.\nAnswer: -5, -1, 4\/233, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 221645 and 914?\nAnswer: 443290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (1140\/(-10))\/((-3)\/16). Let u = 492 + v. Round u to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t - 656*n = -652*n - 15, -10 = 2*t - 4*n for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.029 - 70.029. Let y = 69.33 + l. Let a = y - -0.670006. Round a to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 3*v**2 - 3*v + 3. Let h(y) = 3*y**2 - 2*y + 2. Let t(b) = -3*h(b) + 2*o(b). Let w(k) = 11*k**2. Give w(t(i)).\nAnswer: 99*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 126, 135, 160, 207, 282, 391, 540?\n\"Answer: f**3 + 2*f**2 - 4*f + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2677471311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 18 - -6. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-1\/32)\/b)\/b*b)**(-9\/11) assuming b is positive.\nAnswer: b**(27\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 716, 929, 1520, 2681, 4604, 7481, 11504?\nAnswer: 16865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001193 rounded to 5 decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4*-0.012.\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -20 - (-5 - -1*(-8)\/(-4)). Let f be 1 - (-12)\/(4\/(-1)) - n. Solve 10 = -5*a - 2*w + 3*w, -5*a - 4*w + f = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (599*t + 2*t**3 - 599*t - 35*t**2)*(1 - 34*t + 2*t + 13*t).\nAnswer: -38*t**4 + 667*t**3 - 35*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**9*f**(-1\/2))\/(((f\/f**8)\/f)\/(f*(f**(-1\/5)\/f)\/f*f*f)) assuming f is positive.\nAnswer: f**(173\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/3?  (a) 0.3  (b) 2  (c) 568  (d) 0.4  (e) -279\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Expand i**4 + 3*i**3 - 3*i**3 + (i**2 - 2*i + 2*i)*(-i**2 + 4*i - 4*i) + 3*i**4 - 4*i**4 - i**4 - 7*i - i**4 + 7*i - 2*i**4 - 2 + 2 + 0*i**4 - 10*i**4 + 4*i**4.\nAnswer: -11*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 5*w + 1 = 7, 2*j + 3*w = -4. Suppose 0 = -2*o + 4 - 10. Put o, 0, j in ascending order.\nAnswer: o, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (4\/(-10))\/((-3)\/45). Let h(d) = -8*d - 9. Let q(b) = 7*b + 8. Let y(s) = p*h(s) + 7*q(s). Let j(l) = l - 3*l + 6 + 4*l + 0*l. Give -3*j(o) + 8*y(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/((-228)\/(-76)*2*3\/(-306)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(-6)*(-966)\/(-1932)*-291?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = n**3 - 10*n**2 + 2*n + 56. What is the units digit of o(14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 11 and 44011?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3194605 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -181\/17850 and 23\/109060.\nAnswer: 27810300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 = 2*x - 5*x. Let p be (-220)\/6 + 18\/12. Let m = -35 - p. Which is the nearest to -0.1?  (a) m  (b) -0.3  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4294.69852 rounded to one decimal place?\nAnswer: -4294.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 5*p + 1 - 5 = 0, -5*p - 16 = -2*b. Let x(z) = 148*z**3 + 3*z + 4. Is x(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*w - 3 + 3)*(1 + w**4 - 1) + 677*w**5 - 2 - 1381*w**5 + 661*w**5.\nAnswer: -41*w**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 27*d**2 + 11*d + 60. Is 12 a factor of r(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1968 and 4718704.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*h - 16*h + 39*h - 11*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -1812 (base 9) in base 11?\nAnswer: -1052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -3*g**2 + 26*g - 13. Calculate o(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7154 - -7478. Calculate the greatest common divisor of g and 297.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*r - 1 + 1 + (4 + 0 - 3)*(0*r - 2*r + 3*r) - 2*r + 2*r + r - r + 0*r - r)*(2*r - 3*r - 2*r).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -6*o**2 - 2. Let a(w) = 26 + 5*w - 65 + 39. Determine a(m(p)).\nAnswer: -30*p**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r + 22. Let v be q(0). Suppose -3*z + 498 = -0*z. Suppose -4*x - v = -z. Is x a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 5, 4, -3, -449, 0 in descending order.\nAnswer: 5, 4, 0, -2, -3, -449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1936108808.\nAnswer: 2, 242013601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 88 - 17?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2679.8577 months in centuries?\nAnswer: 2.23321475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.5 from -2405.4277241.\nAnswer: -2404.9277241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8563188.\nAnswer: 2, 3, 713599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 1.2  (b) -2  (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -108110 to the nearest 1000.\nAnswer: -108000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s + 129623 = 129625, 2*w + s + 8 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.0662 and -88.\nAnswer: -5.8256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 117 is divided by (-1 - 49\/21)\/((-4)\/42).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u + 823*a = 826*a, 2*u + a - 5 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*o**2 - 550*o**3 + 1 - 947*o**3 + 205*o**3.\nAnswer: -1292*o**3 - 2*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide ((-5)\/(-3))\/(2\/54)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(0 + (sqrt(171) - -3*(sqrt(171) + -4*sqrt(171)))\/(sqrt(45)\/(3*sqrt(5))))*6)**2 + 1.\nAnswer: 6303745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 38 + 10 = 0. Suppose -1 - j = 4*q. Is q at most as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*q**2 + 20*q + 34*q**2 - 24*q**2.\nAnswer: 27*q**2 + 20*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.219 less than -7?\nAnswer: -14.219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*f - 3*f + 30. Let k be -4 - -4 - (-36)\/(-3). Let g = k - f. Are -3\/5 and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of i*v**4 + 31*i*v + 275*v**2 + 6*v wrt v.\nAnswer: 12*i*v**2 + 550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 2269, 2268, 2267?\n\"Answer: -w + 2270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 less than 22886955?\nAnswer: 22886954.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.1, 318.569, -47, 3\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -39, -208, -729, -1776, -3523, -6144, -9813, -14704?\n\"Answer: -29*n**3 - 2*n**2 + 40*n - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 179\/2, -4, 4 in increasing order.\nAnswer: -4, 4, 179\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -51 - (-167 + 47) - 44.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-5)\/((-10)\/(-12)))\/(-85 + 87).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00006325126 rounded to six dps?\nAnswer: -0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nadsdcsdsss. What is prob of sequence snn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -14*(-32)\/(-560) - 8*6\/120?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 5*w**3 + 2*w**2 + 12*w - 4. Let g(u) = -14*u**3 - 7*u**2 - 35*u + 11. Let v(s) = 4*g(s) + 11*k(s). Factor v(n).\nAnswer: -n*(n + 2)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0 + 5 - (-26 - -29). Let y = 5.1 + -5. Which is the nearest to h?  (a) 2  (b) -5  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(110) + sqrt(110) + sqrt(110))*1*6)\/(5*(sqrt(810) - (3*sqrt(810) - sqrt(810)) - sqrt(810))).\nAnswer: -4*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xxh when three letters picked without replacement from {x: 3, h: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -17, -2, -15, 347, -1, 70, -4.\nAnswer: -17, -15, -4, -2, -1, 70, 347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.1 + 0.2. Let q = 1\/41 - 1819\/615. Let a = q + 278\/105. What is the second biggest value in c, 5, a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 25.376 * 45.\nAnswer: 1141.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x**3 + 6*x**2 - 5*x + 9. Let a = -10 - -3. What is t(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from guzuudgzuuzuggg. What is prob of picking 2 z and 1 g?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-75)\/35 + 1 - ((-114609)\/(-3003) + -39).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1188 - -4753\/4. Which is the closest to 12?  (a) -1\/6  (b) s  (c) -1\/7  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -59, -98, -137, -176, -215?\n\"Answer: -39*w - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 36191506*r + 6425264 with respect to r.\nAnswer: 36191506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 5*j*m*x + 43*j*m + 745*m*x + 53 wrt x?\nAnswer: 5*j*m + 745*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -243, -1, -0.1, -2, 35?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-6)\/(q*q**(-2\/3)*q)*q**8*q\/q**(2\/5) assuming q is positive.\nAnswer: q**(19\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28173 is divided by 36.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 2502 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (-1 + sqrt(320))*6)**2 + (-2*sqrt(320) + -4)*2.\nAnswer: -704*sqrt(5) + 11561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 5*q = 4*a + 50, 3*q + 40 = -4*a. Let z = a - -13. Solve 10 = -z*l + 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*n + c, 0 = -n + 10*c - 15*c - 21 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = 11*m + 35. Which is the closest to 0.3?  (a) -4  (b) m  (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -92*r**2 + 5 - 3 - 2 + 93*r**2. Let c(t) = -3*t - 22. Calculate c(w(n)).\nAnswer: -3*n**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o and 1 i when three letters picked without replacement from ooooioioooo?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = a**2 + 2*a + 5. Let n(p) = -3*p**2 - 3*p - 10. Let f(m) = 5*d(m) + 2*n(m). Let k be f(-1). Suppose k = 2*g - g - 143. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -1581*h + 1556*h - 1750. Let w be -63 - 0*2\/(-4). Let v = w - h. Calculate the greatest common factor of v and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 16.3 and -57952.\nAnswer: -57935.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.95 + -0.05. Let u = 4 - 2. Suppose 5 = j, d - u*d + 3*j - 14 = 0. Which is the second biggest value?  (a) -3\/7  (b) v  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1290, 4937, 11016, 19527, 30470?\n\"Answer: 1216*t**2 - t + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i + 2*w - 15 = 7*i, -4*i = w + 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*t + 10*t = -o + 4, 3*o - 4 = -2*t. Let d = -0.8 - -1.1. Let y = 0.3 - d. What is the nearest to 2\/7 in y, t, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 22 + -27 + (1 - (5 - 4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen quarters of a century in years?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3)\/(3*((-3)\/(-12) + 41\/(-148))). Solve w*o - 25*o - 12 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -271 + -248825?\nAnswer: -248a96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1755*a = -1760*a - 3*j - 16, 0 = -4*j + 12 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -38*u - 50. Let q(i) = 10*i + 13. What is -6*p(j) - 22*q(j)?\nAnswer: 8*j + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 94 - 133 = -3*p for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 269*r. Let y(x) = 214*x**2. Determine v(y(f)).\nAnswer: 57566*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 9 + -9. Let f be p\/((-2)\/(-1)) - 2. Which is the second smallest value?  (a) f  (b) -4  (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mzj when three letters picked without replacement from fjfzzjjfjfjmj?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**1)**(1\/2)*(s\/(s**(2\/5)\/s))**(6\/7))\/(((s\/(s**(-1\/3)\/s))\/s**(-2\/5))\/(s**(3\/7)*s\/(s**(1\/4)\/s))) assuming s is positive.\nAnswer: s**(79\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1481250743 to the nearest integer?\nAnswer: 38487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 10 + -2 + (2 - (45 + 5 + -4))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3167 is divided by 132.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*l**3\/4 + 183*l**2\/4 + 4233*l\/2 + 2070.\nAnswer: -3*(l - 92)*(l + 1)*(l + 30)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 3*p - 38295 = 0, -4*f + 34*p - 35*p = -51048. What are the prime factors of f?\nAnswer: 7, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(12)\/sqrt(3))\/sqrt(2))**2*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cccxcxtx. What is prob of sequence xctc?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Add together 16.18 and -7081.\nAnswer: -7064.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(7196\/1442 - 4) - (3 - 4 - 1)\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -20 - -20.5. Let s = -1.2 + 0.2. What is the smallest value in s, -5, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c**5 + 309*c**4 + 3507*c**3 - 13221*c**2 = 0. Calculate c.\nAnswer: -13, 0, 3, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -678239\/57 less than -11898?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 - 1 = 5*b. Suppose 0 = 4*x - b*x - 16. Calculate the lowest common multiple of x and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.46 times -0.8\nAnswer: -0.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -13 + 16. Let b(l) be the first derivative of l**3 - 3*l**2\/2 + l - 2. List the prime factors of b(p).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 567 divided by -63\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -47*n + 158332 + 1762135. List the prime factors of n.\nAnswer: 29, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w + 256 = 8*w. Calculate the remainder when -7*(-13)\/(-91) - -285 is divided by w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -6 + -43?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -159.646 - 0.354. Let k = n - -270. Let g = -82 + k. Which is smaller: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8*(-3 - -2) - (-5162 + 11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 326502348 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 60 - 28. Let d = -21 - -35. What is the remainder when r is divided by d\/(-49) + 121\/7?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve q - 10*s = -5, 4*q - 2066 = -s - 2209 for q.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 31*x + 4. Let p(r) = 16*r + 2. What is 2*j(f) - 5*p(f)?\nAnswer: -18*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve j + 11 = -3*n + 23, -4*n = 2*j - 32 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14 - f + 9 + 21 - 43.\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7 + -7. List the prime factors of -3*(n + 1) + (105 - -2).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1118.11 and 16.\nAnswer: 1134.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/(-3))\/(-4)*-2.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -110544487 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 34560087.3 rounded to the nearest one hundred thousand?\nAnswer: 34600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 17*v + j - 59, -2*v - 1025*j + 52 = 2*v - 1020*j for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25825040 divided by -8.\nAnswer: -3228130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -422*m**3 + 25*m**2 + 5*m + 5. Let r(k) = -423*k**3 + 30*k**2 + 6*k + 6. What is -6*c(v) + 5*r(v)?\nAnswer: 417*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1121248 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: Is 308546351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 20247523 - -4?\nAnswer: 20247527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 4*c - 7. Let y be h(3). Let n(r) = -r**3 + 5*r**2 + 9*r - 4. List the prime factors of n(y).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 5*i - 5*i**2 + 2 + 5*i**2 + i**2. Let h be p(-5). Suppose 3*o + 3*n - 48 = 0, h*o + 5*n = -0*o + 35. Does 7 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*v**4 + 2*v**4 - 2*v**4 + 0*v**4 + v**4 + v**4 + (37 - 17*v - 37)*(-v + v + 2*v**3) in the form z*v**2 + w + b*v**3 + p*v**4 + u*v and give p.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((1*sqrt(130) + sqrt(130) - sqrt(130))*-4 + (sqrt(130) - (sqrt(130) - 2*sqrt(130))*-4))*4)\/((sqrt(110) + 1*-2*sqrt(110))\/((sqrt(44)*1)\/sqrt(4))).\nAnswer: 28*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -108000*t**3 + t**2 - 5*t. Let w be d(5). What is w rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*c + 46 + 14 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 6*s**3 + 2*s**2 - 5*s - 2. Let p(j) = -6*j**3 - 2*j**2 + 5*j + 3. Let r(t) = t**3 - t - 1. Let d(u) = p(u) + r(u). What is -5*d(b) - 4*x(b)?\nAnswer: b**3 + 2*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 10\/227?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 149 and 113.\nAnswer: 16837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 12 and 237?\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5 + -3. Let k be 6\/9*3 - 3. What is the units digit of 14 + (2 - (h - k))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1579 is divided by 35?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 586 + -5583f?\nAnswer: -552b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 1545, 3304, 5671, 8652, 12253, 16480, 21339, 26836?\n\"Answer: b**3 + 298*b**2 + 858*b + 388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 2, m: 1, d: 4, y: 2, j: 1, e: 5}. What is prob of sequence yed?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 43040517, 0 in descending order.\nAnswer: 43040517, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iwax when four letters picked without replacement from wawwxixvvixvvwwx.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hqgbvvjjbjbjvv. What is prob of picking 1 j and 1 h?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 minutes before 4:40 PM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 2607659911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -280 + 377 - 877 - 4*r to the form k + x*r and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 7\/1 + -4 + 2. Let z = y + 0. Let o(g) = g - 3. Let p be o(z). Are 2 and p equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = s - w - 8, -4 = 9*s - 6*s + 4*w. Suppose -s*o + 3*k = -333, 0 = 3*o - 6*k + k - 236. What is the remainder when o is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 13*u**2 + 2 - 83*u - 87*u + 170*u. Let f(l) = 22*l - 39*l + 14*l. Give f(t(r)).\nAnswer: -39*r**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the third derivative of 0*q**4 + 0 - 15*q**2 + 1\/3*q**3 + 0*q - 1\/30*q**5. Solve z(a) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*w - w + 0*w + (-2 - 1 + 1)*(3*w - 3*w + 2*w))*(2 - 2 - 2).\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-5 - 415)\/(-6)*5.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) be the second derivative of j**4\/2 + j**3 - 12*j**2 - 7*j - 6. List the prime factors of n(-8).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 37395, 74799, 112209, 149625?\n\"Answer: 3*s**2 + 37395*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -14*(115\/345 + (1\/3)\/(-9 - -2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 74 - 112. Let y = 40 + c. What is the second derivative of 23*k**4 + 4*k - 55*k**2 + 55*k**y - 9*k**4 wrt k?\nAnswer: 168*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-4)*-1)\/((-1089)\/(-26136))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.0046 + -99849.355\nAnswer: -99849.3596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 30 = 4*w, -2*i - w = 3 - 23. Is 7 a factor of (-136)\/(-10) - 6\/i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4519*n**3 - 2362*n**2 - 498*n**3 - 2321*n**2 + 4683*n**2.\nAnswer: 4021*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -149778, -148645, -146754, -144099, -140674, -136473, -131490, -125719?\nAnswer: -119154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 7*x**4 - 3*x**3 + 2*x**2 + 3*x. Let q(p) = -7*p**4 + 4*p**3 - 2*p**2 - 4*p. Let u(g) = -3*q(g) - 4*y(g). Find the third derivative of u(z) wrt z.\nAnswer: -168*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1120)\/(-160) - 1*(-4)\/(-2). What is the nearest to 11 in v, 4, 0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -33*y + 94. What is the hundreds digit of w(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*w**3 - w**2 + 0*w**3 - 2 - w**4 + 7*w**3 in the form d + m*w + h*w**4 + n*w**3 + v*w**2 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 206, 5, -4, 0 in descending order.\nAnswer: 206, 5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4, -3, -16844.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:33 PM and 11:19 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.062 + 0.518. Let s = 4.52 + o. Round s to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.18 + -0.22. Let m = 13 - 9. Let t = 84 + -88. What is the closest to m in t, o, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9629 and 24.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = n**2 + 7*n + 6. Let p(w) = w**2 + 30*w + 51. Let c be p(-28). Give q(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 129172 > 3.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5780 divided by -1735.\nAnswer: -1156\/347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 20860126421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.06731 and 0.3.\nAnswer: 0.020193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -3222*f - 3336*f + 2*f**2 + 6558*f. Let i(a) = 11*a - 5. Let h(u) = 5*u - 2. Let q(v) = -5*h(v) + 2*i(v). Give p(q(y)).\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -111 or -1543\/14?\nAnswer: -1543\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:00 PM and 7:33 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/2, 0.27, 0.06, -1424, 2\/5 in decreasing order.\nAnswer: 3\/2, 2\/5, 0.27, 0.06, -1424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -100 + 120. Suppose -2 - o = -2*h. What is the highest common divisor of h and 253?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h**2 - 12*h + 1. Let v be t(-11). Let q(b) = -b**2 + 4*b. Let s be q(3). Suppose 0 = s*k - k - 48. What is the highest common factor of k and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hhy when three letters picked without replacement from hyiiiyyyihy.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1184*u**5 + u**2 + u + 316 wrt u?\nAnswer: 23680*u**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.5 * -93.\nAnswer: -46.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 21*f**4 - 38*f**3 + 7*f**2 - 3*f - 3. Let l(g) = -170*g**4 + 305*g**3 - 55*g**2 + 25*g + 25. Let c(r) = -3*l(r) - 25*q(r). Factor c(h).\nAnswer: -5*h**2*(h - 2)*(3*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 754 and 482386?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*u + 19*u - 3*t + 18831 = 0, 3*t = 2*u - 37599. Calculate the highest common factor of 198 and u.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 2*z**2 - 308*z - 306. Let q be k(-1). What is the nearest to -0.49 in 2, 3, 2\/21, q?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 25184*f**2 - 12*f - 12. Suppose 219*t = 222*t + 27. Let m be o(t). Round m to the nearest one hundred thousand.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -5*v**2 - 17*v + 1. Let f be ((-128)\/(-32) + -14 + 0)*(-6)\/(-15). Let i(a) = -2*a**2 - 8*a + 1. Give f*x(b) + 9*i(b).\nAnswer: 2*b**2 - 4*b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 62 = 3*g, -5*g + 3*s - 102 = -0*g. Let o = -15 - g. Which is the biggest value?  (a) 1  (b) o  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -116964 divided by -422.\nAnswer: 58482\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -7  (b) -18  (c) 6  (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 136 a factor of 363596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i - 7. Let b be d(10). Find the second derivative of b*g**4 + 3*g**4 - 30*g + 25*g wrt g.\nAnswer: 72*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 101*q - 9*q**2 - 255*q + 91*q to o*q + x*q**2 + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -27*x**3 + 13*x**2 - x - 14. Let v be n(-13). Let t = -23485 - v. What is t rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -88, -178, -268, -358, -448?\nAnswer: -538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -141 - -139. Let g(q) = -4*q**3 - 5*q**2 - 3*q + 3. Suppose -5*n - 139 = -759. Calculate the remainder when n is divided by g(d).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 117\/20 and -81\/19670.\nAnswer: 39340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = 3*k - 1386. Let b = 198 - k. Solve y + b = 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2347 (base 9) to base 15\nAnswer: 7b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 4*k**4 - k**3 + k**2 - k + 2. Let h(u) = -17*u**4 - 29*u**3 + 571*u**2 - 1043*u + 498. Let p(t) = -3*h(t) - 12*v(t). Factor p(z).\nAnswer: 3*(z - 11)*(z - 1)**2*(z + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -4*15\/2240*5314\/(-9). Let i = n + -146\/7. Calculate the common denominator of (-202)\/(-60)*110\/(-44) and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 3, a: 2, p: 3}. Give prob of sequence pa.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1990 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-4000)\/(-6))\/((-50)\/(-65400)). What is p rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*b - 60 = 26*b. Calculate the remainder when (-1 - -4) + (-93)\/b*-2 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-40*m - 163*m + 30*m)*(-4*m + 3*m - m)*(m**2 + 0*m + 0*m).\nAnswer: 346*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.45 + -0.4. Let c = 3 - 10\/3. Is c not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w + 14*w = 5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 21 + 3. Suppose 4*u = -4*l - z, -5*u + 3*l - 19 = 11. Let x(g) = -g**2 + g. Let q(p) = 2*p**2 - 7*p + 4. Let a(r) = q(r) + 3*x(r). Give a(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -68 + 75. Calculate the highest common divisor of g and 189.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 13*n**3 - 5*n**2 + 2*n + 12. Let w(s) = 11*s**3 - 4*s**2 + s + 11. Let k(r) = 6*a(r) - 7*w(r). Let y = -6 + 10. What are the prime factors of k(y)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 57073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/5  (b) 101  (c) -4\/7  (d) -181  (e) -0.5  (f) 0.19  (g) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -11561320, -11561319, -11561318?\nAnswer: -11561317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 18*t**2 + 3*t - 20. Let m be k(4). Let a = m - 50. List the prime factors of a.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -34 - -61. Suppose 4*h - 7*h = -y. Is 7 a factor of h\/3 - (1 + -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 51\/5, 2\/31.\nAnswer: 0, 2\/31, 51\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -13\/57 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 36 and 792.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 36870407.66 rounded to the nearest one thousand?\nAnswer: 36870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-v - 2*v + 4*v)*(-v + v - v) + 0*v**2 + v**2 - 3*v**2 + v - v + 2*v**2 + 3*v**2 - 12 + 12 + (3 - 3 - 3*v)*(v + 0*v + v))*(25*v**2 + 62*v**3 - 25*v**2).\nAnswer: -248*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 227, 262, 297, 332, 367, 402?\n\"Answer: 35*j + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 479609 is divided by 3661.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2, 0.008, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(2*sqrt(2) + sqrt(2) + 4) + 0)*2.\nAnswer: 8 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -16.5 - -13. Let l = -3 - c. Let s = 5 + -6. What is the third biggest value in -1\/3, l, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*n + 21612 = 10*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*g - 3*g**2 - 3*g)*(0 - 6*g + 0)*(-3 - 7 - 1).\nAnswer: -198*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 784 and 764078.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 71 or 198?\nAnswer: 198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 630\/17  (b) 2.2  (c) 5  (d) 0.2  (e) 4  (f) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 12.820411, 1, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -4*u**3 - 1. Let p(g) = g**4 + 5*g**3. Let f(h) = 5*k(h) + 4*p(h). Differentiate f(m) wrt m.\nAnswer: 16*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 5, j: 3, m: 1}. Give prob of sequence mjr.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3 - -5. Suppose -n = -3*n - 6. Let y be 0 - j*n\/(-15). Which is greater: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2438146 to the nearest integer?\nAnswer: 1561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 62*m**3 + 29*m**2 - 42*m + 32. Let y be a(32). Round y to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -4*k**2 - 96*k + 22. Let q(z) = -z**2 - 26*z + 6. Let r(v) = -4*b(v) + 15*q(v). Determine r(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = 2*z - 48, -s = -5*s + 4. Suppose 0*a - 26 = 2*a. Let u = a + z. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -6266583*l. Let h(q) = -2*q. Determine w(h(b)).\nAnswer: 12533166*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 677 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 5779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g**3 + 10*g**2 + 15*g + 21. Let q be l(-9). Suppose -10*r + 3*m + 7217 = -5*r, r = -4*m + q. What is the highest common divisor of r and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 8*m**3 + m**2 + m + 1. Suppose 5*l + 4 = -1. Let y be f(l). Let c(w) = -w - 10. Let a be c(y). What is the third biggest value in 3, -1\/4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*y + 4*y + 8*y)*(4*y - 2*y**2 - 4*y + (-2 + 2*y + 2)*(5*y + 23*y - 8*y)).\nAnswer: 190*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 9\/174*31*148\/3441\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.7833 + 0.1323. Let s = -0.059 + w. Let y = s + 0.659. What is y rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -111*n**4 + 51736*n**3 - 7*n**2 - 107*n + 12523.\nAnswer: -2664*n + 310416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -3\/5  (b) 0.4  (c) -0.4  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 14 = 55. Let s = n - 41. Suppose -u + 3*u - 50 = s. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -135*s = 35*s + 13*s + 549 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s**2 - 1. Let o be w(-5). Let r = -26 - o. Suppose 0 = k + 2*k + 3, 5*g - k - 10976 = r. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 2*h**2 - 2*h - 2. Let u be n(3). Suppose -u = 2*k - 0. Let p(t) = -2*t - 3. Is p(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28957853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 6 = -3*i - 0*d, 0 = -3*i + 4*d - 12. Let l = -6.08 + 6. Let x = l - -0.18. Which is the nearest to i?  (a) 4  (b) x  (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -95\/50064 and 137\/102?\nAnswer: 851088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -12dc0a - -5?\nAnswer: -12dc05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -4*h - 2. Let g(s) be the first derivative of -s**3\/3 - 5*s**2\/2 - 2*s - 3446. Determine -2*g(j) + 3*w(j).\nAnswer: 2*j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 18 - 53\/3. Which is the third biggest value?  (a) -5  (b) i  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -y**3 + y - y + (4*y + y - 3*y)*(-3*y**2 - y**2 + 5*y**2) + 2*y**3 - 3*y**3 + 3*y**3 + y**3 - 9*y**3 + y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 2631911239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 18.17 + -0.17. Let a = -20.1 + d. Let c = a + 0.1. Which is smaller: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 + -1. Let t(a) = a + 6. Let k(c) be the third derivative of c**3\/6 + 6*c**2. Let u(o) = 5*k(o) - t(o). What is u(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -70724*m**3 - 566*m + 30?\nAnswer: -424344*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7*y**3*z - 12*y**2*z - 2*y*z + 2*z + 38 wrt y?\nAnswer: -42*y*z - 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -55*t**2 + 4. Let f(i) = i**2 + 1. Calculate -4*f(m) + o(m).\nAnswer: -59*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 37, 0.4, 2, 0.1, -88, 96 in decreasing order.\nAnswer: 96, 37, 2, 0.4, 0.1, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - 1)\/(-6)*1373190\/(-50300) - -9?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -6564, -6561, -6558, -6555, -6552?\n\"Answer: 3*q - 6567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -z - 4*d - 7, -3*d - 2 = -2*z - 16 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 73*n. Let m(j) = -23*j + 4. Give m(h(z)).\nAnswer: -1679*z + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -46, -66, -84, -100?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/k**(-9\/5)*k)**(-35) assuming k is positive.\nAnswer: k**(-133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence djjj when four letters picked without replacement from djdjjjjddj?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: ((-46)\/(-115)*(-10)\/(-13))\/(-2)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 2, o: 1, i: 1}. What is prob of picking 1 i and 1 a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(1\/9)\/o**(-17\/3))**(-10) assuming o is positive.\nAnswer: o**(-520\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out -91 * -1.28617.\nAnswer: 117.04147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 64 a factor of 1161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -3*k + 6. Let y(o) = 1. Let i(m) = -r(m) + 4*y(m). Suppose 0 = -3*z + 8*z - 20. Let g be i(z). Solve -s = 4*u + u - 19, 3*u = -2*s + g for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 430078010?\nAnswer: 2, 5, 37, 1162373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 10270 or 71898\/7?\nAnswer: 71898\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*w - 2*w + w)*(-4*w**2 - 1289*w + 1291*w - 3 + 30*w**2).\nAnswer: -182*w**3 - 14*w**2 + 21*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -21809*h + 565. Let l(p) = -116*p + 3. Let z(k) = 565*l(k) - 3*x(k). Let n(o) = -2*o. Calculate n(z(c)).\nAnswer: 226*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmeajmmjx. What is prob of sequence mma?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 6\/(-2)*1 - -241. Calculate the greatest common factor of 34 and i.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 40, -48, -168, -326, -528, -780, -1088?\n\"Answer: -q**3 - 10*q**2 - 51*q + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -s**3 + 6*s**2 - 6*s + 5. Let p be b(7). Let o = -99 - p. Let a be (7 - 10) + o*2\/(-2). Solve -2*x + 2*n - a = 0, 3*n = -5*x - 1 - 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(187)*-3 + sqrt(187))\/sqrt(11) + sqrt(1700)*1.\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 28.45328 centuries?\nAnswer: 34143.936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 111716875?\nAnswer: 5, 37, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-22)\/(-6) + (-4)\/6. Suppose 0 = 4*f - 6 - 2. Suppose -3*s + j*a + 24 = 0, -f*a = a + 12. Which is smaller: s or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 55*a**2*s**3 + a**2*s**2 + 392*a**2*s + 40*a**2 + 25409*a*s**2 + 307*s**3 wrt a.\nAnswer: 110*s**3 + 2*s**2 + 784*s + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tbtqbqttttqttq. What is prob of sequence tqt?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 2 - 9380*l + 4632*l + 4753*l.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is b + -2a?\nAnswer: -1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 680 minutes after 10:35 AM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 456 minutes before 6:54 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 16128162953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3415 - 27269\/8. What is the common denominator of 97\/(-6) - (-6)\/2 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*f - 3*f + 52. Suppose -f = -3*c + 2. Calculate the greatest common divisor of 198 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 546 and 2734\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -17, -35, -55, -77, -101?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 19245307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 + -21 - (2 - -7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (3\/(-4))\/((-1)\/8). Let u(h) = -8*h - 62. Let i be u(-8). Suppose -i + n = j. Solve -2*k - 8 = -z, -j*k - 5*z = -3*k - 7 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 163 a factor of 469424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -b**2 + b + 2. Let r(y) = -2*y**2 + 3*y + 6. Let o(k) = -3*c(k) + r(k). Let n(t) = 8*t**2. Determine o(n(p)).\nAnswer: 64*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 3*z**2 + 27*z - 21. Let w be p(-10). Suppose -j + 50 = w*j. Suppose -8\/15*q**j + 0 + 8\/15*q**4 + 2\/5*q**3 + 2\/15*q - 8\/15*q**2 = 0. Calculate q.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -221*s - 20114. What is l(-91)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4 + 0 - 8 - (2 - 500). What is the highest common factor of 13 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -219*b**2 + 25*b**2 + 30*b**2 - 74*b**2.\nAnswer: -238*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.39924 + -0.09924. Put -527, s, -3 in ascending order.\nAnswer: -527, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*o - 6*o + o + (2 - 2 - 2*o)*(-1 - 4 + 3))*(-2*o - 3*o + 3*o)*(77 - 39 - 63) to u*o + g*o**2 + a and give g.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 - 13 + 2)*((-3 + 1 + 0)*(3*o + 0*o - 5*o) - 3*o + 3*o - 2*o - 5*o + 0*o + 4*o - 2*o - o + 2*o + (4*o - 4*o - o)*(2 - 4 + 3) + 0 + 0 + 2*o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 2943096 divided by -122629\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -23031 + 23027. What is the third biggest value in -35, a, 3\/4, -0.6, -2\/9?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -a + 2. Suppose 5*i - 5*f = -0*i, -5*i + 20 = -f. Calculate y(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-56)\/10 - (41 - -45 - 95)?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(114)\/(sqrt(6) - (sqrt(96) - sqrt(96)*-3)) + 5)**2 + sqrt(1216) + -1 + 5 + 4.\nAnswer: 22*sqrt(19)\/3 + 7444\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - -1 - (-71 + 66)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 658249.\nAnswer: 419, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-f + 3*f - 4*f + (-4 + 0 + 2)*(-4 + f + 4) + f + 0*f - 3*f + f - 2*f + 2*f + f + 6*f - 4*f)*(1 - 3 - 1)*(-1772 - 441 - 381).\nAnswer: -15564*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 6) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -14 + 0. Find the common denominator of u\/(-5) - 21\/(-14) and -49\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -75800*o**3 + 75803*o**3 - o**2 - 7*o**2.\nAnswer: 3*o**3 - 8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 44540996 by 9.\nAnswer: 44540996\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4 - (-2 - 52\/(-9)). Let u be (-3 - 1)\/((-36)\/4). Factor -2\/9*f**3 - u*f**2 - t*f + 0.\nAnswer: -2*f*(f + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -3*m - 7. Let o be z(-3). Let d(j) = 32*j**o - 66*j**2 + 32*j**2. Let a(v) be the first derivative of 4*v**2 + 2. Determine d(a(s)).\nAnswer: -128*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 2*s = 5 + 11, -2*g + 8 = s. What is the remainder when 9 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -v**2 - v + 4. Let z be a(-3). Let s be (-5)\/3*(-5 - z). Suppose y - 2*n - s = 9, 3*n = -3*y - 3. Solve y*b = -0*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35024819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 20\/(-4)*(0\/(-1) - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add 0 and 4027.\nAnswer: 4027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g**3 + g - 1. Suppose -572 + 564 = 8*p. Let y(t) = -7*t**3 - 9*t**2 - 5*t + 5. What is p*y(l) - 5*s(l)?\nAnswer: 2*l**3 + 9*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r**3 + 3*r**2 + 8*r + 9. Let b be u(5). Which is smaller: -2\/29 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11152935 to the nearest integer?\nAnswer: 3340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the third derivative of -m**7\/2520 + m**6\/60 - 7*m**5\/120 - m**4\/24 - 2*m**2. Let s(v) be the second derivative of q(v). Is s(5) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 26 (base 8) to base 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(1 + 1) + 143 + -139.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z + 52 = -4*b, -z = -313*b + 328*b + 35 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 345*t = 350*t + 47 + 33 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 335 is divided by 152?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (18\/12)\/((-168)\/(-64)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 3432.99 to the nearest 100.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -105 = 3*f - 39. Are f and -232 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -4*a**2 - 11*a - 4. What is p(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 1412100 to the nearest 10000.\nAnswer: 1410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -2 + 0\/1 - 1. Let k be 3\/2*2\/(-3). Let t be k\/w*(-30)\/(-5). Solve -t*z = -4*z + 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:17 AM and 5:22 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 + 23 = -2*f. Let b = -3 - f. What is the derivative of 4 - c**2 - b + 1 wrt c?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -518*i + 74063. Give n(143).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -o**2 - 12*o - 1. Let g be y(-5). Let p = 666 - 522. Suppose 30*b + p = g*b. Does 18 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 414*z - 15 = 399*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p + 5*p = 30. Let k = 1 + 1. Solve 0 = k*r + 2*l, 0 = r - l - l - p for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3378 - 6762 - 24*c - 28*c**2 + 3384 - 4*c**3 = 0. Calculate c.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1295, 1304, 1323, 1358, 1415, 1500?\n\"Answer: t**3 - t**2 + 5*t + 1290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - 6.699951.\nAnswer: -10.699951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -2 + -1 - (-61 - -54).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/33, -30, -6, -0.3, -7, -2\/21 in descending order.\nAnswer: 1\/33, -2\/21, -0.3, -6, -7, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -218 + 223. Let v(y) = -y**2 + y**3 - y + 2*y + 0*y - 5. Let n be v(0). Which is the closest to -1?  (a) n  (b) z  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1085 divided by 6?\nAnswer: -1085\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 6025 + -4?\nAnswer: 6021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 5, c: 2, t: 2}. Give prob of picking 2 c.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 z when two letters picked without replacement from {m: 4, r: 3, z: 3, c: 3, b: 3}?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 614 + -410. Suppose 72*t - 70*t - w = 0. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -96143667.8 + 95755545.7999936. Let g = x - -388123. Let b = g - 1. Round b to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 9 - 6. Suppose -1 = z*d - 31. Solve 4*v - 6*s + 5*s = -8, -5*v + 3*s = d for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t and 2 j when four letters picked without replacement from ttjtjjtjtt?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 85 and 62305?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 499.9 + -500. Which is the fourth smallest value?  (a) 3\/5  (b) -4\/7  (c) l  (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v, 1 e, and 1 r when three letters picked without replacement from {w: 4, r: 1, v: 8, e: 2}?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x = 2*x - 40. Let z = -13 - -18. Let h = 2 + z. Calculate the remainder when x is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7 - 7. Suppose -c + 3*c + 6 = j. Let u(y) = -y**2 - 5*y + 2. What are the prime factors of u(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 4*k + 19 = -6, 0 = -3*o - k + 20. Let s be (-1)\/(1 + o\/(-4)). Solve s = 4*t - 5*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 2*p + 6. Let z(k) = k**2 + 2*k - 36. Let i be z(0). Let f = 36 + i. Let w be s(f). Solve 15 - w = -3*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 184347601?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 34047867 to the power of 1\/3, to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 367 is divided by 163?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 165 and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that -2*w**2\/5 - 2386368*w\/5 - 2386366\/5 = 0.\nAnswer: -1193183, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 1 - 20 = 0. Calculate the remainder when ((-63)\/42)\/(18\/(-5508)) is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -1, -21, -3 in ascending order.\nAnswer: -21, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 23 = -17. Suppose -3*q = 2*q - x. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n + n**2 + n + (-2 + 0 + 3)*(4*n**2 + 3*n**2 - 5*n**2))*(-189*n**2 - 1282*n**2 - 346*n**2).\nAnswer: -5451*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3 + 53111?\nAnswer: 53104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 2*g**2. Let v be 3 + -1 + (4 - 0). Let p = -44 - -44. Let r(k) = p*k + v + 4*k - 6. Determine m(r(h)).\nAnswer: 32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2245941568?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5648*k**2 - 8 - 5630*k**2 - 5647*k**2 - 4*k + 16923*k**2.\nAnswer: -2*k**2 - 4*k - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -s + s - 3589*s**2 - 3630*s**2 + 10830*s**2 - 3587*s**2.\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 234214368 and 438?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 22 - 41\/2. Which is the closest to 0?  (a) y  (b) 0.4  (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 470902657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the third derivative of 0*a**3 + 1 + 5\/6*a**4 + 0*a + 1\/15*a**5 - 39*a**2. Factor y(d).\nAnswer: 4*d*(d + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -r - r - 9*r + (-3 - 3 + 5)*(-12*r - 13*r - 20*r) as b + t*r and give t.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8*(-9)\/(-18))\/(12\/(-57)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 10 - 11. Let d be 1\/(2 + (-2 - m)). Let q(g) = -20*g + 2. Let z(u) = 99*u - 10. Let f(l) = 5*q(l) + z(l). What is f(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4102 is divided by 410?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1340576 + -10?\nAnswer: 1340566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.1 and 3091.7?\nAnswer: 3091.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -10 (base 2) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/13?  (a) 2\/21  (b) -3  (c) 5  (d) -2\/85  (e) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -o**3 + 8*o**2 + 6*o + 14. Let v(t) = -5*t**3 + 31*t**2 + 25*t + 56. Let r(n) = -9*l(n) + 2*v(n). Is r(-10) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1297767074 to the nearest one million.\nAnswer: -1298000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -8*n**3 + 9*n + 7. Let f(j) be the first derivative of -7*j**4\/4 + 4*j**2 + 6*j - 8. Give 7*f(l) - 6*w(l).\nAnswer: -l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -45, -60, -75, -90, -105?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 255834403 a multiple of 294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -111, -15, 1, 3, -5, -23, 2 in ascending order.\nAnswer: -111, -23, -15, -5, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -y**2 - 7*y + 4. Let o be ((-12)\/9)\/(1\/3). Let r be 66\/(-9) - o\/12. Let i be w(r). Solve b + i = 3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 569.7483mg?\nAnswer: 569748300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.081 take away -16063677?\nAnswer: 16063676.919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -9 + 14. Let x be 16\/6 - 3496\/(-1311). Which is smaller: x or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 16 and 43999212.\nAnswer: 175996848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -17\/179, -139, 4, -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 22471, 45021, 67571, 90121, 112671, 135221?\nAnswer: 157771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -545*a - 553. What are the prime factors of l(-22)?\nAnswer: 11437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.1936598s in minutes?\nAnswer: 0.01989433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d = -4*d + 3*h + 14, 5*d - 4*h = 18. Suppose -4*v - x = -1111, -3*x = -d*x + 5. What are the prime factors of v?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 801.3361ml in litres?\nAnswer: 0.8013361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the third derivative of b**4\/24 - b**3\/6 - 61*b**2 - 12*b. Let d = -7 - -10. Let h(z) = -2*z + 2. Determine d*h(t) + 5*s(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.4 and -40156009170?\nAnswer: 40156009169.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 154369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 61824 - 61736 = -11*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3*(0 + 1)*(-6)\/(-9). Let u be 3*(3 + g\/(-1)). Suppose -985 - 14 = u*p. What is p rounded to the nearest ten?\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p**3 - 3*p**2 + 94*p + 575. Calculate b(-6).\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 338542249 to the power of 1\/3, to the nearest integer?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i = i + 3*n - 10, -5*i = n + 20. Let k(c) = -c**2 - 12*c - 14. Let j be k(-11). Put i, j, 5 in decreasing order.\nAnswer: 5, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 15 and (-10)\/(-75)*-3 - (-548)\/20.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -18 + 22 + (3 - (-4 - -8)) + 21 + -17?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -18*j - 6. Let g be m(-7). Suppose -4*i + i = -g. Is 16\/i - 608\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 3*w + 7. Let j(f) = f + 3. Suppose -2*v = 7*v + 36. Let p be 60\/(-6)*2\/v. What is p*j(g) - 2*i(g)?\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 3*l**4 - 51*l**3 - 306*l**2 - 255*l - 3. Let p(y) = -y**3 - y**2 - y - 1. Let b(f) = 3*p(f) - z(f). Factor b(x).\nAnswer: -3*x*(x - 21)*(x + 1)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m**3 - 21*m**2 - 54*m + 241. Let c be v(-17). What is the nearest to 1\/5 in 5965, c, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3127721 is divided by 290.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 299 in 1\/39, -2\/5, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48*k + 9*k + 3524 = 2593 - 3971 for k.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20258*-0.05147.\nAnswer: -1042.67926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 445 and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 4035*u - 4034. Calculate z(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4)\/10 - ((-132)\/(-20) + 2). Let z = n + 21. Let y(t) = -t**3 + 12*t**2 + 9*t - 26. What is the units digit of y(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 16570, 31859, 47148, 62437, 77726?\nAnswer: 93015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -38, -164, -388, -722, -1178, -1768, -2504?\nAnswer: -3398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -4*w**2 - 5*w - 3. Let h be n(-5). Let z = -42 - h. Suppose 8*q + 124 = z. Put 5, -2, q in decreasing order.\nAnswer: 5, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.14 + 3.14. Put q, -1\/8, 0 in ascending order.\nAnswer: -1\/8, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -32*i + 19. Let p(r) = -41*r + 18. Determine -4*p(x) + 5*v(x).\nAnswer: 4*x + 23","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15749*o**2 + 44*o**3 - 15749*o**2 - 40*o**3.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -14*u**2 - 6. Let v(z) = -5*z**2 + 26410*z - 26410*z - 2. Suppose -2*h - 6 = 5*t + 12, -3*t = -5*h + 17. Determine t*n(p) + 11*v(p).\nAnswer: p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.6 in 4\/11, 8.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25*c - 831*c**3 - 24*c - c.\nAnswer: -831*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 3*a**3 + 6*a**2 - 6*a + 6. Let w(p) = p**3 - 1. Let g(j) = 5*j**3 + 17*j**2 - 17*j + 21. Let r(y) = g(y) + 4*w(y). What is 17*d(b) - 6*r(b)?\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 235259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1725914394 - -318?\nAnswer: 318.1725914394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1881 is divided by 43?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 540 - 0?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c + 50 = -5*w, 16*w - 15 = 17*w + 2*c for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.601992l?\nAnswer: 601.992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 12, -3, -4753 in decreasing order.\nAnswer: 12, -3, -4753","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 39 - 38. Factor 3\/2*m + z + 1\/2*m**2.\nAnswer: (m + 1)*(m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1231*v + 43979 - 7049 for v.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 316*g - 7291 = 194*g - 195*g for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.6 + 3. Let y = 1.92 - -0.08. Let j = d - y. What is the third smallest value in j, -0.3, 0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 79175565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.02300223 to four dps.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*b + 3*b = 960. Is b greater than 61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 16*k**2 - 44*k**2 + 3 + 9*k**2 - 7*k + 13*k**2 + 7*k**2. Give h(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1)\/1 - (-102)\/(-17). Suppose 2*n - 4*n - 56 = 0. Does 10 divide (-3)\/i + (-1388)\/n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.01 - 3.01. Suppose w = -0 + 2. Sort 0.4, b, w.\nAnswer: b, 0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 300*r**3 + 321*r**3 - 1629*r**3 + 338*r**3 + 320*r**3 + 313*r**3.\nAnswer: -37*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -5*d + 20. Suppose -d*b = 2*b - 110. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5665119.\nAnswer: 3, 181, 10433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*h - 3*h + 30. Let q be (5\/h)\/(2\/(-3)). What is the third biggest value in 1, -2\/13, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 322074 by -9.\nAnswer: -35786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a = -2*d + 5 - 7, -3*d = -2*a + 11 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 12*3\/2 + 5 - 4. Let d(l) = 3*l - 33. Let t be d(n). What is the greatest common divisor of 32 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -2*u - 22. Determine i(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1a7 (base 15) to base 8.\nAnswer: -576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (14*r - 17*r - 12*r)*(-17*r**2 + 3*r**2 + 6*r**2).\nAnswer: 120*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -9*g - 5. Let f(w) = 8*w + 6. Calculate 6*a(h) + 5*f(h).\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1552655239*z + 33*z**3 - 1552655239*z.\nAnswer: 33*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tit when three letters picked without replacement from {i: 2, t: 2, e: 1, a: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 22135904 to the nearest one million.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0007621 rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 293 = -299*o + 300*o. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1442 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 6}. What is prob of sequence pppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 5, l: 5, o: 1, v: 1}. What is prob of picking 1 v, 1 l, and 1 o?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -y + 15. Let m be p(5). Let f(s) = -3 - 8 - 3*s + m. Let o be f(0). Put o, 1, 0 in descending order.\nAnswer: 1, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 4\/1920845 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r = 5*o + 40, -44*r - o = -43*r + 12 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*c - 1 = 4*d, -5 + 2 = -d + 5*c - 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*i - 246 + 654 = 0. Suppose -6*o + i - 57 = 0. Let j be 5\/(-20) - (-1)\/12. Which is the biggest value?  (a) j  (b) -9  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 6, a: 2}. Give prob of picking 1 s and 2 a.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -20257 equal to -20257?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p + 3. Let i(v) = -2 + v - 3 + 3 + 5. Let h be i(4). Determine r(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 38 - 11 - 19 - 11. Let d(w) = w - 2. Determine 6*d(g) - 4*k(g).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -2*y + 2*n, -5*y + y - 15 = 3*n. Let q be ((-6)\/(-4))\/(9\/(-12)). Let k = q - -3. Is k bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1765)\/19062*16\/(-360)*-9)\/(2\/(-9)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4264 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*w + 3*w = 0. Suppose -3*n + 2 = -4*n. Sort -3, n, w.\nAnswer: -3, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - (70 - (166 - 33))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 97 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2002 - -12?\nAnswer: 2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2.98 - -58.54. Let w = -0.72 + l. Let o = 61 - w. Which is the closest to 6?  (a) 0.1  (b) o  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1100100000011111 (base 2) in base 13?\nAnswer: -1a41b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.977128 rounded to 2 decimal places?\nAnswer: 2.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor b**2 - 2658*b + 10616.\nAnswer: (b - 2654)*(b - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1)\/((-42)\/18) + 330\/14. Suppose 0 = g - 0*g - 2*l - 4, 0 = -g + 5*l + 7. Calculate the least common multiple of ((-80)\/v)\/(g\/(-18)) and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = -5*l - 40, 2*p - l + 22 = 4*p. Let u(q) = 11*q - 45*q + 6 + 41*q + 5*q - q**2. Is u(p) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -756.5 + -14.5. Let v = -770.9461 - t. Let f = 0.06 - v. Round f to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 118109785 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -101 - -60. Let g = 15842818.000705 + -15842859. Let x = g - l. Round x to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o = 3*s - 6, 3*s = 5*o - s - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 71\/56 and -11\/34272.\nAnswer: 34272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5 + -1. Let j be 1\/((k\/102)\/2). Suppose -j + 16 = -5*t. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 2 + 2*c + (-3 + 4 - 3)*(-286*c + 1121 - 135*c - 1119).\nAnswer: 844*c - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -362.9, -5, -0.009?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v**2 + 2*v**2 + 2*v**2 - v**2. Let a(b) be the second derivative of -b**4\/12 - 25*b. Give a(x(j)).\nAnswer: -16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 69 - 38. Calculate the remainder when j is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = 4, 3*m - m - j = 6. Let g(a) = -a**3 - 6*a - 3 - 4 + 11*a**2 + m*a + 3. Let d be g(9). Calculate the highest common divisor of 14 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = j**2 + 1. Let a(u) = 17*u**2 + 9. Let d(p) = 3*p**2 - 214*p + 1194. Let x be d(6). Give x*g(c) - 2*a(c).\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -132\/5 + 1442\/55. What is the closest to 0 in -0.5, -6, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((2*sqrt(170)*3 - sqrt(170)) + ((sqrt(170) - (sqrt(170)*2*1 + sqrt(170))) + sqrt(170) - sqrt(170)))*3)\/((sqrt(70)*-1*1)\/(sqrt(56)\/(-2*sqrt(8)))).\nAnswer: 9*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6 + 3. Let z be (6\/g)\/((-4)\/(-30)). Let c = 5 + z. Calculate the remainder when 27 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 181551 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from swwgwgwg. What is prob of picking 2 w?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 276107831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the first derivative of -i**6 - 3*i**5\/5 + 3*i**4\/2 + i**3 - 910. Find j such that y(j) = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 0.9373386 millennia?\nAnswer: 11248.0632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - (6 - (12 - 8)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -449595 to the nearest ten thousand.\nAnswer: -450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -23 or -2.88?\nAnswer: -2.88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -54*g - 147*g + 360*g - 156*g + 13*g**3.\nAnswer: 13*g**3 + 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 11*p. Let s be (-2)\/((-4)\/10) + 0. Let y be -16*((-6)\/2 + 2). Let h(u) = -1 - 23*u + 1 + y*u. What is s*c(w) + 8*h(w)?\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 120 and 74310?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Do -11373 and -13729 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -133 or -12606?\nAnswer: -133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 32500 and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 129024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - l = -1, 5*l - 1 + 6 = 0. Suppose -5*w = -4*o + 2983, 3*o = -r*w + w + 2223. Does 53 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3\/125*610\/61)\/(11\/(-440)*6)\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -15094 + 15096. What is the closest to 1\/4 in l, 1\/7, -3.88, -0.1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -14 - -75?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1130320 + -3132113?\nAnswer: -10323033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(147)*1 + 3 + sqrt(147).\nAnswer: 3 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence al when two letters picked without replacement from {j: 7, a: 10, l: 1}?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-four fifths of a millimeter in micrometers?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 140a395 - 6?\nAnswer: 140a38c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -74036*b + 3. Let s(y) = -2*y + 1253. Give s(i(q)).\nAnswer: 148072*q + 1247","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1801 by -1314.\nAnswer: 1801\/1314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 16 - 17. Let m = 10 - 4. Suppose m = -4*r + 2. Do c and r have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -263 + 312. Suppose -99 = 37*d + p. What is the smallest value in d, 1\/3, -5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6002674.\nAnswer: 2, 53, 56629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 3d6532 (base 16) to base 4\nAnswer: 33112110302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 59 in -1, 0.5, 3, 18177, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 129 + -127. Suppose -3*v = -q*f - 4, -v = 6*f - 2*f - 20. Suppose 6 = 3*n - n. Is f equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 923 - 390. Calculate the highest common divisor of b and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + r = 720. Let g be r\/16*8\/10. Suppose -l - 2 = -4. Calculate the greatest common factor of l and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3 - 25503?\nAnswer: -25500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 40627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5598421923 to the nearest integer?\nAnswer: 1776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -101102 + -1101022?\nAnswer: -1202201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a meter in millimeters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g - 9 + 3 - 2 = -5*a, -g = -2*g + 2 + 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -37*g + 12 + 32 + 35*g. Let r be v(22). Solve -4\/5*x**2 + r*x + 4\/5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (72\/63)\/((-5)\/(-7))?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000104765 to 7 decimal places.\nAnswer: 0.0000105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 19*z**2 + 11*z - 11*z as p*z + l + x*z**2 and give x.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -5\/3, -2\/5, -0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/15 - (-18)\/135?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 3*p**2 - 28*p. Let q(b) = -2*b**2 + 54*b. What is 4*m(n) + 3*q(n)?\nAnswer: 6*n**2 + 50*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*i - 19*i = 120. Calculate the greatest common factor of 105 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 13654121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*u**5 + 3587*u**2 - 2*u + 1413?\nAnswer: -80*u**3 + 7174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 18*(16\/12)\/(2 - -2). Find the second derivative of h - o**4 - 6 + 2*o wrt o.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/3?  (a) -46  (b) 0  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-28)\/(-63))\/(2*2\/2)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:05 PM and 4:13 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 7264531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 102\/60*-6 - -10\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4009238.046 - -2.\nAnswer: 4009240.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 96008\/14895 + -2\/1655. Find the common denominator of -3\/5 and g.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*((1*sqrt(36))\/sqrt(12) + sqrt(3)) - (sqrt(432) + 3 + 4))*-2.\nAnswer: 14 + 28*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3302988 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 129147565?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -2 + -5 + (2 - -6). What is the smallest common multiple of 428\/6 + s + (-4)\/12 and 4?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*u**5 - 9*u**5 + 5*u**5 + (-4*u - 101 + 101)*(-u + 2*u**4 + u).\nAnswer: -17*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3 + 0. Let p(m) = -5 + k + 3*m + 4. Suppose -4*t = 3*a - 44, -2*t + 0*t + 22 = -2*a. Let l(d) = d**3 - 16*d - 10. Calculate t*p(o) + 2*l(o).\nAnswer: 2*o**3 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(130)*1*-3)\/(sqrt(40)*2 + sqrt(40)).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 371478842?\nAnswer: 2, 7, 19, 23, 60719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4 + -39)*(-19)\/(-57)*(-36)\/4?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = -4*m + 4*t + 234, -4*m + 4*t + 236 = 0. Suppose 7*o - 247 = -m. What is the remainder when o is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + -1*-5*-6*(sqrt(968) - 2*(sqrt(968) + 1))*-4)**2.\nAnswer: 1246080*sqrt(2) + 13994896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.345 and -0.2.\nAnswer: -0.069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 40276, 80552, 120828, 161104, 201380, 241656?\n\"Answer: 40276*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 10?  (a) -3\/8  (b) 4  (c) -1\/14  (d) -19  (e) 1\/70\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.03 + 2.03. Let p = -0.6 - -0.1. Which is the nearest to t?  (a) p  (b) -4\/9  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 8706, 35071, 79100, 140793, 220150, 317171?\n\"Answer: 8832*l**2 - 131*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(4\/19)\/g*g**(13\/6)*g*(g\/g**(-1\/3))**(-1\/26) assuming g is positive.\nAnswer: g**(1149\/494)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.0638 - 7350481884.\nAnswer: -7350481884.0638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 10 = -5*b, c - 3*b + b = 0. Factor -a + c*a - 3*a - a**5 + 2*a**4.\nAnswer: -a**4*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 707732 is divided by 222.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d**3 + 4*d**2 + 3*d + 1. Let r = 39 - 30. Calculate the smallest common multiple of j(-2) and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 456\/17 + -25485\/952. Let b = 163\/952 - g. Let v = 0.97 - 1.97. What is the closest to v in -2\/23, b, 1\/7?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 57 - 59. What is the smallest common multiple of l\/15*3*-30 and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -217*b**2 + 5*b**3 + 70*b**2 - 8 - b**4 + 148*b**2 to the form p*b**2 + l*b + t + c*b**3 + x*b**4 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(1\/8)*k**10*k**(4\/11)*k\/((k*k**(-14))\/k) assuming k is positive.\nAnswer: k**(2243\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*k + 3*k + 26*k + k.\nAnswer: 39*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 298 minutes after 11:05 PM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 77201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(88) - -2*(sqrt(88) + sqrt(88)*2))\/(sqrt(648)*1 + sqrt(8)).\nAnswer: 7*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the third derivative of -x**7\/1890 - x**6\/1080 + x**5\/135 + x**4\/54 + 4*x**2. Solve s(h) = 0 for h.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1019009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -332*z + 34201. Calculate w(103).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 4*a + 2*a**2 + a**2 + 2*a**2 - 4*a**2 + 3. Is d(-7) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 0*p = -24. Suppose g - 6 = 2*g. Let a be (6\/12)\/((-1)\/g). Solve -p = -0*c - a*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -648 + 228 = -2*q. Let n be 14\/(-120) - 28\/q. Which is the biggest value?  (a) 2  (b) n  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 10, 4, -5, -61.\nAnswer: -61, -5, 3, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21345212.\nAnswer: 2, 7, 762329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the third derivative of l**5\/60 - 5*l**4\/24 + 7*l**3\/6 + 7*l**2. Does 3 divide m(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 + 1 - 3 + (1 - 4 + 2)*(-4 + 2 + 0) + 0 + 1 - 3 + 0 + 3 - 1)*(-4*s + 8*s - 13*s) in the form n*s + a and give n.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -118*l + 1 = -121*l - 5*q - 1, 2*q + 2 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -97*i**2 - 358 - 328 - 271 wrt i?\nAnswer: -194*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -740*c*f**5 - 6049079*c*f**2 - 55*c*f - 2*c + 46030*f**5 wrt f?\nAnswer: -44400*c*f**2 + 2761800*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 7*d**2 + 487*d - 6. Let b(f) = -33*f**2 - 2435*f + 28. Determine 3*b(g) + 14*h(g).\nAnswer: -g**2 - 487*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Add together -10567 and 47.\nAnswer: -10520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -13.636 + -114.364. Let u = 85.18 + 42.4. Let q = u + b. What is q rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*i + l, -19 = 3*i + 2*l - 6*l. Let n = -33 + 35. Is (180 - (n - i))\/1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 472 minutes after 2:53 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) be the first derivative of x**3\/18 + 32*x**2\/3 + 2048*x\/3 - 59. Factor l(v).\nAnswer: (v + 64)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 55900 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 d when two letters picked without replacement from pmpwwiwppmwddddmu.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, 0.338, -1\/4, 23, 5 in decreasing order.\nAnswer: 23, 5, 0.338, -0.2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -49 + 47. Let j be (-100)\/8*(1 + s)*-2. Let p = 7.1 + -7. Which is smaller: j or p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1.849788 and 0.1?\nAnswer: 1.749788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 w when two letters picked without replacement from wzfzwczcccczzffb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 45\/(-3)*(1 - 0). Let y = d - -18. Suppose -28 = -y*n + 95. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the third derivative of q**6\/120 - 2*q**5\/15 + 7*q**4\/24 - 3*q**3\/2 + 8*q**2. Let d(v) = v**3 + 9*v**2 + 6*v - 9. Let w be d(-8). Calculate c(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 3*h - 6*h + i, 2*i = 5*h - 6. Suppose 0 = -p + h*p - 19. Suppose -5*r + 2*k = -44, -21 = -4*r + 4*k + p. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 277640761 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001140586 rounded to 6 decimal places?\nAnswer: 0.001141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 660 and 57570.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 158*r**2\/11 - 3575676*r\/11 - 45262 = 0 for r.\nAnswer: -11\/79, 22631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1162927523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (32\/48)\/((-1)\/6). Let q(y) = 4*y**2 + 5*y - 4. Let m be q(d). Sort 5, 1, m in ascending order.\nAnswer: 1, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the second derivative of -i**6\/720 + i**5\/120 + 3*i**4\/4 + 5*i**2\/2 - 23*i. Let b(r) be the third derivative of n(r). Give b(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 375 divide 94125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -5*(-9)\/15 + 23\/(-8)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3954 is divided by 366?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*o + 8, -18*o + 12 = 4*r - 20*o. Solve 5*t - 41 = r*d - 22, 3*d = -3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -4096*k**4 + 2380 wrt k.\nAnswer: -16384*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l - 18. Let w be g(-18). Suppose w = -d + 11 + 5. Let o = d - 17. Is o <= -2\/73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 357.8242 millimeters?\nAnswer: 35.78242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -12 - 6. Let f = 17.5 + w. Let v = 3.95 + 0.05. What is the closest to 0 in v, f, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -109563060 divided by 36521020.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i**3 + 5*i**2 - 2. Let w be c(-2). Let y be 34\/w - (-3)\/5. Let p = 0 + -0.1. Sort p, y, -0.3.\nAnswer: -0.3, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/4?  (a) 3  (b) -61  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*r - 29*r - 690 = -3*r for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2898*s**3 - 3*s + s - 2 - 157*s**2 + 2899*s**3 to n*s**3 + u*s**2 + m*s + c and give u.\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-1 + (sqrt(4)\/sqrt(2) + 5 - sqrt(2) - (sqrt(24)\/sqrt(3))\/sqrt(4)))*-3 + -4)*-3)**2.\nAnswer: -864*sqrt(2) + 2466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -100, -173, -244, -313, -380?\n\"Answer: x**2 - 76*x - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 8*m + 4 = -6*m, 2*m = -6. What is the lowest common multiple of t and 53?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 42935275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 78402971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 82.10622 - 0.10622. What is the nearest to 0.5 in 0, i, -0.3, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.34  (b) -2015  (c) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s**(1\/27)\/s)\/s*s)\/s*s*s*s**(4\/21))\/((s\/(s\/s**(-29\/2)))\/(s\/(s\/(s**(-1\/43)\/s)))) assuming s is positive.\nAnswer: s**(222749\/16254)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -426, -851, -1276, -1701, -2126, -2551?\n\"Answer: -425*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*p + 10*p = 45. Suppose 5*f - 11 = -u + 13, 0 = 4*f + 5*u - p. Find the second derivative of -276*a**5 - 4*a - 6*a + 268*a**f wrt a.\nAnswer: -160*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-454)\/227)\/(3*(-2)\/21).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -5*f - 35. Let o be x(-25). Does 36 divide (-30*o\/(-35))\/((-1)\/(-14))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -3 + (-2)\/(-40)*(-724)\/(-6) and 75\/2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in 43, -4, -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 2 z when three letters picked without replacement from zdddzzdddzzdzdzdzddz.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 291465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-62)\/36 - (-4)\/18. Which is the second smallest value?  (a) -2  (b) i  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3121 = 34*u - 3189. Let o(w) be the first derivative of -w**2\/2 + 4*w - 1. Let x be o(6). Which is greater: u or x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 323 and 1349.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*v - 12 = 5*c - 7*c + 8*v, 0 = 3*v - 15 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -764.9 to the nearest 10.\nAnswer: -760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -3*b + 1. Let q be k(3). Let n(u) = u**3 + 7*u**2 - 6*u + 10. Calculate n(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3208338, 3208159, 3207980, 3207801, 3207622?\nAnswer: 3207443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 267, 2136, 7259, 17280, 33843, 58592, 93171?\n\"Answer: 274*f**3 - 17*f**2 + 2*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -12670 - -aca?\nAnswer: -11ba6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -9.87 + -0.13. Let p = -10.000029 - y. Round p to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -o**3 - 6*o**2 - 20*o - 143. What is x(-7)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 182747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -300 = -5*f + 49*y - 52*y, 3*f - 180 = 4*y. What is the remainder when 5811 is divided by f?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -84 + 84 - 19*p. Let s(r) = 14*r**2 + 6. Let b(a) = 16*a**2 + 7. Let g = 93 - 87. Let u(t) = g*b(t) - 7*s(t). Determine v(u(m)).\nAnswer: 38*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -21\/1510 - -77201\/122310. Calculate the common denominator of d and 86\/45.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -350*h - 153*h**2 + 86*h**2 - 27*h + 72*h**2 as o + w*h**2 + v*h and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 7823, -0.03, -0.8, 1?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t - 8*v - 2 + 5 = 2*t - 7*v, 6 = 2*v for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -h**3 - 2*h**2 + h + 272. Let d be l(0). Let s be 5\/(15\/9) + 2 + d. Suppose 3*r + s = 2*v - 275, -562 = -2*v - 2*r. Does 41 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 252 - 252. Suppose 5*o - 2*o + 7 = k, 3*o = 5*k - 23. Suppose y = -k*j + 10 + 10. Solve 5*m + 4*n = 5, 2*m + 2*n = j*n + 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 - -1. Let t be 16\/(-30)*6\/(-8). Which is the biggest value?  (a) y  (b) -5  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-22 + 23)\/((-1)\/(-3)). Let x(f) be the first derivative of 2 - 2\/5*f**5 + f**4 + 0*f + 2\/3*f**h - 2*f**2. Factor x(u).\nAnswer: -2*u*(u - 2)*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -81 + 65 + 7 + -1 + 42.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.617271ml in litres?\nAnswer: 0.001617271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:09 PM and 11:31 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -b**3 - b - 9. Let a be q(0). Let f = a - -7. What is the closest to -2 in 5\/4, 1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 1340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 3d (base 16) to base 4\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 222 (base 4) in base 13?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2548 + -2547. Let p = 11 + -13. What is the closest to h in -3, p, -65?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1029048849875 and 0.067?\nAnswer: 1029048849874.933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 131 - 295 - 2285*a**3 + 163 - 2*a.\nAnswer: -2285*a**3 - 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (80 - 71) + (-16 - -3 - 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -155554 divided by -38\nAnswer: 77777\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 0 + -40568448?\nAnswer: -40568448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 1. Let f(z) = z - 1. Let v = 13 - 14. Give v*f(h) - 3*a(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3227 + 2?\nAnswer: 3230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 216 - -352. Which is bigger: q or 570?\nAnswer: 570","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**2 - 107300*g - 7408461.\nAnswer: (g - 107369)*(g + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*r + 7*r + 10*r - 516 - 5267.\nAnswer: r - 5783","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 2651460*x**2. Let r(g) = -g**2. What is m(r(k))?\nAnswer: 2651460*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 a factor of 1688861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*d**4 - 22*d + 6*d**4 - 77 + 80 + 2*d as m*d**4 + c*d**3 + p + b*d**2 + s*d and give s.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -34 - -34.2. Which is smaller: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*o**3 - 36*o**2\/7 - 15*o\/7 = 0. What is o?\nAnswer: -1, -5\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18036 divided by 6.\nAnswer: -3006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 21*h - 1. What is the tens digit of g(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = 0, -5*l + 117 = -4*l - 2*u. Let m = 886 - l. Suppose m = 3*o - 4*n, -3*o - 5*n = 243 - 1030. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*j**2 + 8*j**2 + 3*j**2 - 22*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 972 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -17, -178, -439, -800, -1261, -1822?\nAnswer: -2483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 g when two letters picked without replacement from gggcggcdcgcgggggdcc?\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 680 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14064.\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3.88 + -0.18. Let y = o - -0.3. Sort 0.5, 1, -1, y in descending order.\nAnswer: y, 1, 0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*q**2\/3 + 788504*q\/9 - 262834\/9.\nAnswer: -2*(q - 131417)*(3*q - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 204*a + 28*a - 119*a = 540*a - 18788 for a.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -y**2 - 21*y. Suppose 5*j = -2*m - 20 - 67, -3*m - 64 = 4*j. Let v be i(j). Let d be v\/6 + 2*6\/(-4). Is 4 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -51*h**2*l + 1830*h**2 + h*l**3 - l**3 wrt l.\nAnswer: -51*h**2 + 3*h*l**2 - 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -0.026006  (b) 0.5  (c) -2\/11  (d) 1\/450\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*(-9 - 6) + 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 87 is divided by 20?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -5*k - 845, -362 - 156 = 3*k - 4*i. Let m = -111 - k. Suppose -2*d = 3*g - 14, 5*g - 4*d = -d + m. What is the lowest common multiple of g and 7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6356560 divided by -14\nAnswer: -454040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is (-155)\/25 + 6 - (-2096)\/5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 2, p: 1, j: 2, q: 4, y: 3}. What is prob of sequence ipjj?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.84563211 and 0.020305.\nAnswer: 0.86593711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 d when two letters picked without replacement from {d: 5, g: 12, j: 1}?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -3*i**3 + 2*i**2 - i. Let h = 268 - 303. Let x = h - -36. Calculate t(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the third derivative of 2*c**5\/15 - 3*c**4\/8 + 3*c**3\/2 + 9*c**2. Let n(x) = -x**2 + x - 1. Give -4*d(o) - 36*n(o).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 9013231613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 121970837?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0011512 to 4 dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**3 + v**2 + v. Let s(t) = t + 5. Let q be s(-6). Let z(l) = 13*l**2 - 15*l + 5. Let k(m) = q*z(m) - w(m). What is the units digit of k(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.1 - -0.1. Let u = 7.07 + -0.07. Let s = 6.6 - u. Which is the second smallest value?  (a) s  (b) -5  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2161.997299 + 2162. What is u rounded to 4 dps?\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(24)\/(sqrt(12) + (3*sqrt(84))\/sqrt(7)) - (1 + 3*sqrt(162))).\nAnswer: 4 + 107*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -11*b**3 + 3. Let q(f) be the third derivative of -17*f**6\/60 + 5*f**3\/3 + 270*f**2. What is -3*q(t) + 10*r(t)?\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p**3 - 31*p**2 + 33*p - 39. Calculate x(30).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -5*q**3 + q**2 + 3*q - 11. Let d(w) = 4*w**3 - 2*w + 10. Let y(j) = -6*d(j) - 5*u(j). Let m be y(6). Suppose -4*b + 23 = -m. Does 2 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-438 - -317) + (-48)\/(-2). Which is smaller: 11.3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.70758 to one dp.\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3450 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -l - 2. Let d be (-1 - 5)*2\/(-6). Let y be x(d). Sort y, 4, 0 in ascending order.\nAnswer: y, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 429, 0, 54, 5, -907.\nAnswer: -907, 0, 5, 54, 429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -576 bigger than -262796?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 46*2\/14*(-105)\/(-30). Let s = b - 18. Sort 2, -2, s, -5.\nAnswer: -5, -2, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -15784492*j**3*t + 42316*t - 172 wrt j?\nAnswer: -47353476*j**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 3*p - 1. Suppose m + m + 4*j - 2 = 0, 5 = 5*m - 2*j. Let o be z(m). Suppose -4 = o*k - 3*k. Solve l + 0 + k = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -2*c**3 + 46*c**2 + 48*c + 85. What is w(24)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1.52, -5, 2, 383, -1, 1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9*k**2 - 5*k**2 + 3*k**2 + (-2*k - 3 + 3)*(3*k - 4*k + 3*k) - 3*k + 3*k + 3*k**2 - k**2 + 0*k**2 + 0*k**2)*(4 - 17 - 12).\nAnswer: 325*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 171 and 1425.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t + 5 = 5*k - 22, -16 = -4*k + t for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 4.089796 decades?\nAnswer: 0.04089796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(153)*-2*-3 + sqrt(153))\/(sqrt(9) + sqrt(729) + (sqrt(729) - 3*sqrt(729) - sqrt(729) - sqrt(729))) + -5 + 5).\nAnswer: -14*sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a. Let i be x(6). Let m be -2 - (i\/1 + 1). Suppose -m*l = -4*n + 9, -3*n + 11 = -l + n. Let g(t) = -8*t**2 + t - 1. Determine g(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*z - 484 + 223 - 130 = 0 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z**3 - 3*z**2 - z - 13. Let x be v(-4). Suppose 168133 = -x*s - 111867. Round s to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -6*y**2. Let j(a) be the first derivative of -a**6\/18 + 109*a**3\/3 + 124. Let o(z) be the third derivative of j(z). Calculate o(h(p)).\nAnswer: -720*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (80\/(-15))\/(-4)*-3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*i**3*p**2 - 150696*i**3 + 367*i**2*p**4 with respect to p.\nAnswer: 6*i**3*p + 1468*i**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 2624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -119\/60456 and 179\/6870.\nAnswer: 302280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = j**2. Let k(t) = 13*t**2 - 3*t + 3. Let i(x) = k(x) - 6*p(x). Let l be i(3). What is the tens digit of l\/5 + 2\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 20 = 2*l, -3*l - 3*x - 20 = -2*x. Let o be l\/(-3) + (2 - 3). What is the biggest value in 1, 0.1, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*z - 2*z - 7*z)*(2 + 4 - 4) + (7 - 10 + 11)*(-1 + 4 + 0)*(3 - 3 - 3*z) in the form l*z + r and give l.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47 + 8 = 3*z - 5*o, -4*z + o + 45 = 0. Calculate the greatest common divisor of 10 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in three eighths of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (7\/(-7))\/((-1)\/15). Solve 0 = y*f - f - 70 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4647 = 3*o - 4*l, 0 = -5*l - 0*l + 15. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.3 or 7540?\nAnswer: 7540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -u**3 - 44*u**2 - 56*u - 483. What is p(-43)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1 - -1507576?\nAnswer: 1507577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 132012 and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25670 is divided by 2329.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -2*u**3 - 2*u**2 + 3*u + 6. Let m be h(-2). What is the derivative of -3 - m - 9*i**2 - 1 - 14 wrt i?\nAnswer: -18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (-2 + 2 + sqrt(700) + -5 - ((-3*sqrt(63) + sqrt(63))\/sqrt(9) + (sqrt(42)\/(sqrt(6)*2))**2)) + -3.\nAnswer: -43\/4 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*(l\/(l*l*l**1*l))\/l*l*l)**(-35)*l**(-8)*l**(-8)*l)**(3\/4) assuming l is positive.\nAnswer: l**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -3*t**2 - 54*t + 131. Give d(-23).\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 8265324\/48 + (-2)\/8. Suppose 25*g = 3*g + v. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 20*l**3 + 559*l**2 + 7*l. Let k(s) = -54*s**3 - 1677*s**2 - 19*s. Calculate 3*k(j) + 8*z(j).\nAnswer: -2*j**3 - 559*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16499298?\nAnswer: 2, 3, 2749883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -200*n**2 + 1200*n + 15. Let z be s(6). What is the greatest common divisor of z and 435?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 717631 divided by -2112\nAnswer: -717631\/2112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - p = -10, 3*p = v + 2*v + 6. Let s = 0 - v. Differentiate 4 - 7 + 2*h**s + 2 - 1 wrt h.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the first derivative of 4*n**6\/3 - 9*n**5\/5 - 15*n**4\/4 + 2*n**3\/3 - 1536. Factor r(u).\nAnswer: u**2*(u - 2)*(u + 1)*(8*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1133 (base 7) in base 6?\nAnswer: -1532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-2)\/(-1))\/(3\/6). Suppose 0*o + k*o = 2000000. Round o to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7310 - 175403\/24. Let g = s - -67\/12. Calculate the common denominator of (14\/10)\/(20\/350) and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(70) + ((sqrt(70) - sqrt(70)*-4 - sqrt(70) - sqrt(70))*-2 - sqrt(70)))\/sqrt(2))\/(sqrt(343)*-1 + (-2*sqrt(847) - sqrt(847))).\nAnswer: -3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6936860 and 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 593.71 + -590. What is c rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-28)\/(-10))\/((-84)\/(-210)). Solve -8*a - 3 = -x*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3\/2, -0.4, 1, 0.01, 0?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -12*k + 6. Let o be m(-9). Suppose -2*v - 10 + o = 0. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 485 and 890?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000480738 to 6 dps.\nAnswer: -0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5839 - 1611 = -5*o. Suppose -11*u + u + o = 0. Let z = -261 + 299. Calculate the remainder when u is divided by z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 630007?\nAnswer: 7, 90001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 2, n: 1, j: 1}. What is prob of sequence nj?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -101 in -0.02, -0.2, -87, 3\/2?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 2 = -r - 2*h, -2*r + h = -4. Let m = 223 + -113. Let q be r\/4 + m\/8. What is the highest common factor of q and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + z - 57 = 0, -2*d = -5*z - 0*z - 87. What is the remainder when 123 is divided by d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 176770?\nAnswer: 2, 5, 11, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 10*h**2 + 0)*(-19 - 9 - 17)*(149 - h**2 - 149).\nAnswer: 450*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -16312 - -22232. List the prime factors of a.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 14) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 84*l**2. Let r(b) be the second derivative of -4*b**3\/3 + 3*b + 1. Calculate c(r(z)).\nAnswer: 5376*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 180199 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-24)\/(-4))\/(-3))\/(-16)*2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 28941581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 25*r**4 + 42*r**2 + 3*r. Let s(d) = d**4 - d - 1478 - d**2 + 1478. Let h(v) = -3*s(v) - u(v). Find the third derivative of h(q) wrt q.\nAnswer: -672*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 3 w when four letters picked without replacement from {y: 7, w: 7}?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 106*0.1\nAnswer: 10.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**3 + 100*c**2 - 262*c - 940.\nAnswer: -2*(c - 47)*(c - 5)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that h**3\/4 - 5026*h**2 - 20107*h\/4 + 20105\/2 = 0.\nAnswer: -2, 1, 20105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -128*z + 50*z + 525 = -53*z for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j*j**(1\/5)*j*j*j**(-1)*(j**(-1)\/j*j)\/(j\/j**0) assuming j is positive.\nAnswer: j**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*o**3 + 5563*o**2 + 2*o**4 - 39 - o**3 - 5568*o**2 to the form g*o**4 + n*o + c*o**3 + k + b*o**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i - 69 = -3*g, -198*g + 200*g + 143 = -5*i for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 2665 divided by 205\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l**3 + 2*l**2 - 8*l - 3. Determine g(4).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y + 4*l = -33 - 23, -3*l - 791 + 768 = 2*y - 0*l for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of c**3*p**2 - 16*c**3*p + 230*c**3 wrt p?\nAnswer: 2*c**3*p - 16*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 6*n - 2*n + 4*z, 4*z - 21 = -3*n. Suppose 0 = n*g - 11*g + 48. Suppose -217 = -g*l + 281. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 71 divide 10991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 468 minutes before 12:06 PM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in fourty-four fifths of a millennium?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Total of -917.0876 and -1147731.\nAnswer: -1148648.0876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*y + 40 = 6*c - 2*c, -2 = -2*y + 3*c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -97\/4 or -28053?\nAnswer: -97\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 7*m = 24. Let q be 3\/(-30) + 6\/(-15). Which is the third biggest value?  (a) m  (b) q  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7034 (base 8) to base 10.\nAnswer: 3612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ptxfexppxf. What is prob of picking 1 p and 1 e?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -7*s**2 - 3*s. Let o be 22\/(-33)*(-138)\/(-4). Let l be o\/(-7) - 7\/(343\/14). Let z(p) = -48*p**2 - 20*p. Determine l*z(q) - 20*x(q).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7124*y + 40211*y - 3457*y.\nAnswer: 43878*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 207 is divided by 107.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -3 + 3 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 minutes after 12:22 PM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2699 is divided by 2191.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 4, t: 6, j: 4, c: 4}. Give prob of picking 2 j.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1792 - 30429 = -881*s + 24975 - 4276 for s.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-24 + -6 - -6) + 13 + -16.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 0*j + 4*j = -32, -2*n + 4*j + 24 = 0. Suppose -3 = -n*a + 5. Let l(o) = 39*o - 386. Let m be l(10). Solve -a*t - 2*t - m = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 13696 and 13268?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-42)\/(-9) + 0 + 8\/(-12). Let u(o) = -o**2 + 14*o - 10. Let n(q) = -q**2 + 16*q - 11. Let f(i) = -4*n(i) + 5*u(i). Determine f(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.091 - 4.091. Let b = 13.9 + -14. Put -0.05, b, l in decreasing order.\nAnswer: -0.05, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1 - ((-83600002)\/(-4))\/((-1)\/(-2)). What is l rounded to the nearest 1000000?\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 61.70427 millennia to decades.\nAnswer: 6170.427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 42042430 - -4?\nAnswer: 42042434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -97\/7320 and 31\/120?\nAnswer: 7320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*v - 63 + 33 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 18410000137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -88*o**2 - 5*o + 44*o**2 + 48*o**2 + 1. Is h(-5) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 8, s: 2}. Give prob of picking 2 s and 2 a.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8*q**2\/3 + 82*q\/3 + 74\/3.\nAnswer: 2*(q + 1)*(4*q + 37)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*o**2 + 6*o**3 + 4*o**2 + 16*o**3 - 6*o**2 + 5*o - 21*o**3 to the form x + y*o**3 + t*o**2 + n*o and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -2*h + 6. Let g be t(0). Suppose 0 = -2*i - 2 + g. Suppose -n + 3*j = n - 9, n + i = -5*j. Solve n*s - 2*x = x + 6, 0 = s - 3*x - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 362393589 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 139 minutes after 9:59 PM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 181459, 1451723, 4899587, 11613853, 22683323, 39196799, 62243083, 92910977?\nAnswer: 132289283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 593788431 to the power of 1\/2, to the nearest integer?\nAnswer: 24368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 13 + 111030212230?\nAnswer: 111030212303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*m + 31 - 79. Suppose -a + m = a. What is the smallest common multiple of a and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-196)\/(-96) + 15\/15 + -3.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n**2 - 9*n - 6. Give l(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.2 + -0.15. Let h = -91.9 + -4.1. Let f = h - -96. Which is the third smallest value?  (a) -2  (b) 3\/5  (c) f  (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - (2 - 8 - -7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 156\/(-6)*(-869)\/327613?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -x**3 + 6*x**2 - 6*x + 17. Let o be t(5). Suppose 0 = 3*k - 2*k + o. Let j = k + 15. Solve 4*r = -2*l + 24, -j*l + 0*l = 3*r - 21 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24981 is divided by 768?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1)\/17*(-13)\/65. Which is bigger: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-8)\/(-12) + (-14)\/(-6). Suppose l = -s + 3, -3*s + 4 = 3*l - 5*l. What is the third derivative of -3*p**m - p**2 - 6*p**s + 7*p**3 wrt p?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-36)\/63*-28*4*3\/(-6).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -12.3 in 5.3, 0, 27, 2\/11, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -11 + 14 + (-23 - -27) - (-64 - -1).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-65)\/117)\/(21\/(-27))*(-4)\/(-10)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 299675041 to the nearest integer?\nAnswer: 669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/5, 0.1, 5\/6, -238 in increasing order.\nAnswer: -238, -2\/5, 0.1, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -3*y**2 + 21*y + 2. Calculate the remainder when h(5) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 53160 and 3030.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -147996 - 2987 = -1986*o - 834*o - 9983 for o.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m - 62*l - 6 = -64*l, 2*l = -4 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 3 + 3)*(0*u + u**2 + 0*u) - u**2 + 4*u**2 - 5*u**2 + 1 - 2*u**2 - 1 + (-5 - 3*u + 5)*(-1 + 1 - u) + 4*u**2 + u**2 - 4*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(1053) + -1)*-4.\nAnswer: -16 + 144*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 1, c: 1, m: 2, l: 2, r: 1, u: 1}. Give prob of sequence llrc.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, 0.4, 2\/11, -522\/41, 5, 2 in decreasing order.\nAnswer: 5, 2, 0.4, 2\/11, -0.1, -522\/41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 28*a - 4. What is the tens digit of r(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -956*o**3 + 524*o**3 - 632*o**3.\nAnswer: -1064*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.1, -1\/6, 267, 12?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 269290431.\nAnswer: 3, 107, 279637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 12 = -5*m. Suppose -2 = -k + 6. Suppose s - 2*f - 18 = 0, 0*f + 2*f - k = 0. Solve -4*h + m*r = h - s, -r - 6 = -h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 2 l when three letters picked without replacement from lnnnnlnlnn.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 8 + 6 + 1431*k**3.\nAnswer: 1431*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 570 minutes before 11:14 AM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -123*b**2 - 76275*b - 9304. What is o(-620)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*v**4 + 2*v**3 + 43 - 43)*(3*v + 2*v - 4*v).\nAnswer: 3*v**5 + 2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31*h**3 + 14*h**2 - 12*h + 12*h - 8*h**3.\nAnswer: 23*h**3 + 14*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the second derivative of 3781*m**3\/6 - 2069*m. Let k(p) = -2*p. Give c(k(u)).\nAnswer: -7562*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -g + 5*g - 2*c, -5*g - 3*c + 26 = 0. Suppose -g*a = -3*a - 155. Is a a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.5 - -3.5. Let a = 22670.95 + -22671. What is the closest to 3 in w, -2, a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 91799600.\nAnswer: 2, 5, 229499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -134*u - 2*u**2 + 0*u + 169*u + 156*u + 506*u in the form i*u + t + l*u**2 and give i.\nAnswer: 697","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 114\/126 + 1\/(-3). Let g = 1.2 - 1.29. Let n = 0.41 - g. What is the closest to -1\/6 in -3, n, v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = -7*b - 38, 1065*b - 1068*b = t. Let t*i - 3\/2*i**4 - 27\/2*i**2 + 9*i**3 + 0 = 0. What is i?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 84801980 and 17270.\nAnswer: 932821780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 242 is divided by 158.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -84*z + 7. Let a be ((-17)\/(-51))\/(2\/(-12) + 0). What is the hundreds digit of r(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-1\/2)*(m\/(m**(-1\/4)\/m))\/m*m*m\/m**(-3)*m*(m\/(m**(1\/6)*m)*m)\/m assuming m is positive.\nAnswer: m**(79\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 43106346?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 605 divided by 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -67870600 divided by -2423950\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-2 + (0 + sqrt(2057) + sqrt(2057))*1)**2 - (0 + (sqrt(1377) - (sqrt(1377) - 2*sqrt(1377))) - 6*(sqrt(1377) + sqrt(1377) + 2))**2.\nAnswer: -162540 - 1896*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -146*l - 3 + 3 - 120*l.\nAnswer: -266*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -15\/278 or 0?\nAnswer: -15\/278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -29 - -17. Let c = b - -12.0056. What is c rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 3*n + 27. Let i be g(-9). Let v = 0 - -2. Suppose 2*r - 2 - v = i. Solve r = -d - 0*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/5, -11, -2\/9, 0.\nAnswer: -11, -2\/9, 0, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -30040*z - 60306. What is o(-2)?\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 8911739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9765, 2, -6, -42 in ascending order.\nAnswer: -9765, -42, -6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q**2 + 8*q + 9. Give f(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-15)\/(-3 - 2) - (1 + -1). Let w(l) = -l**3 - 5*l**2 + 6*l + 6. Let s be w(-6). What is the greatest common factor of s and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -181*m + 9023. What is o(50)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2863 - 1836 - 4741 = 1180*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1.8 - -1.3. Suppose -2*y + 14 = -2*r, -y = -6*y + 25. What is the nearest to -8 in n, r, -2\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -3*h**2 + 32*h + 13. Let r be l(11). Is r\/17 + 82718\/34 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/((-160)\/(-24) + -6). Solve 0 = -14*r - 39 - q for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 + 2 = -k - 2*r, -4*r = 4*k + 4. Suppose 0 = 2*u - k*u + 30. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 40 + -37. Put 1, -33, o in descending order.\nAnswer: o, 1, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 364410576 and 360?\nAnswer: 1822052880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 + 30 - (-4 - 18) - 0.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 521*j**2 + 3*j + 5. Let q be h(6). Let p = 17708599\/943 - q. Let o = 11330\/6601 - p. Calculate the common denominator of o and -113\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 8915.2 to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of -88 and 18.86901.\nAnswer: -1660.47288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 50*m**4 - 2 - 50*m**4 + 9*m**5 + 19*m**2 + 0 wrt m?\nAnswer: 540*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9834 and 270?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - -4 - (-8 - (-1 + -3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 371 + -1 + -5 + 13. Calculate the highest common divisor of 54 and x.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-162)\/(-486))\/((3\/(-18))\/((-7)\/(-21))). Let z = 0.2 + 0. Which is bigger: z or i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -2*a**2. Suppose -s + 2*q + 24 = 0, -s + 2*s - 5*q = 33. Let v be 176\/s - 2\/(-9). Let c(h) = 5*h**2 - v*h + 10*h. Determine c(u(t)).\nAnswer: 20*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:00 AM and 11:09 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 117 a factor of 74412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 55\/2 + -27. Let y = -1.4 + -0.6. Let k = -2\/13 - -32\/39. Which is the closest to k?  (a) z  (b) y  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 44030 and 2380.\nAnswer: 88060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2 - -1. Suppose 51 = 3*b + 14*b. Suppose 0 = -b*x - j - 960004, -i*j = 2 + 10. Round x to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*g - 13*g + 4 = -5*o, 3*o - 941*g = -946*g + 6 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -454.8886827 rounded to 2 decimal places?\nAnswer: -454.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 64195 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1722 is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1000 + 1572. Let k be p\/10 + (-7)\/35. Let t = k - 43. Calculate the remainder when 81 is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -14.2 * -0.12709.\nAnswer: 1.804678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1, 35, 95, 179, 287, 419, 575?\nAnswer: 755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 - 4 = -i. Suppose -i*w + 3 = -3. Suppose w*k = 4*k - 84. List the prime factors of k.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 5*y = -0*y - 2341, y = -1. Let h = j + 843. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 54286*f*o**2 - 92456*f*o + 782*o**2 - 39*o - 10 wrt o.\nAnswer: 108572*f + 1564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 30711 is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 3 + 6 + 2 + -11\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17 divided by 18273.\nAnswer: -17\/18273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -105*q + 190 = -143*q. Put 16, 21, q in ascending order.\nAnswer: q, 16, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 9d + 26?\nAnswer: c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + -3*sqrt(176) - ((sqrt(176) + sqrt(176)*1 - sqrt(176))*6 + sqrt(176)))**2.\nAnswer: -320*sqrt(11) + 17616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z**3 + 28*z**2 - 32*z - 87. Let x be f(-29). Suppose x*q - 3 = 3*q. Which is smaller: q or -2\/23?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(3\/4)\/j*j*j**(2\/17)*j*j)\/((j\/(j*j*j\/(j**1*j)))\/j)**16)\/(j**6*(j**2\/j)\/j*((j\/(j\/j**(1\/2)*j))\/j)\/j*j*j**(2\/3)) assuming j is positive.\nAnswer: j**(2795\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the first derivative of -2*s**3\/27 - 38*s**2\/9 - 23. Factor k(q).\nAnswer: -2*q*(q + 38)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/17, -0.4, -2 in descending order.\nAnswer: -2\/17, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-1)\/((42\/46 - 1) + 276395\/3180394)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 64438 and 841?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5 - -14595a?\nAnswer: 145961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 1254735 divided by -250947\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 13384 to the power of 1\/2, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 8*v**2 - 5*v**3 + 3*v**3 - 7*v + v**3 - 5. Is t(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 4*l - 32. Let v be n(7). Let d be (-3)\/(-4) + (-25)\/v. Solve -13 = 5*x + d for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*x + 0*x + 0*x)*(-3*x + 3*x - x)*(0 - 2 + 1).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + p = 0, 2*p = -3*u - 1 - 4. Let i be (u + 0 + 1)\/(-1). Solve -5*c = -2*m + 12, i*c - 3*m - 3 = 3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the first derivative of y**9\/168 + 7*y**5\/60 + y**2\/2 + 8. Let t(o) be the second derivative of l(o). What is the third derivative of t(b) wrt b?\nAnswer: 360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + 21 - ((-24 - -19) + 2 + -7 + 2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = -3*l - 3, -l = -3*z + 8 + 4. Solve -v - 2*u = 4, 5*v - z*u = 2*u - 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 2*a**2 - 16*a - 16. Let u be z(9). Suppose -u*q - 1062 - 1031 = 3*w, 2*q = 5*w + 3467. Let y = -374 - w. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (2 + -4 + sqrt(2057)*-2 + 5)*-1.\nAnswer: -2 + 22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of b**3*s*y**2 - 55992*b**3*y**2 + 1447*b**2*s*y - b**2*y**2 + 2*b*y**2 wrt b.\nAnswer: 6*s*y**2 - 335952*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -f + 2*f - 3*f - 324 + 324 + 5*f + (-f + 0 + 0)*(3 - 2 - 2) - f + 0*f - f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/((-50)\/4 - -2)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = 4*p - 23. Suppose -i + 8 = -3*r - 0, 2*r + 4*i - 4 = 0. Sort r, p, 2 in increasing order.\nAnswer: r, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*b + 393695197 - 393695197.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 74  (b) 2\/59  (c) 27  (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -537036*x**3 - 4*x**2 - x + 11. Let q be h(3). Round q to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) be the third derivative of -o**6\/120 + o**5\/10 - 5*o**4\/24 + o**3\/2 + 4*o**2. Let x be t(5). Factor 0*k - 2\/3*k**2 + 0 - 2\/3*k**x.\nAnswer: -2*k**2*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 0, 2, -158.\nAnswer: -158, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 u when two letters picked without replacement from duxaasaa.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4078700*w**3 - 5010949*w**2 wrt w.\nAnswer: 24472200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*d**4*v - 41*d**4 + v + 13 wrt d?\nAnswer: 8*d**3*v - 164*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1871*a*w - 13760*a + 179358946*w wrt a?\nAnswer: -1871*w - 13760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ustsuusususttsu. What is prob of picking 2 t?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*v - 4*v + 3*v)*(-22 - 5 + 12*v - 11*v).\nAnswer: v**2 - 27*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 13477, 13088, 12701, 12316, 11933, 11552?\nAnswer: 11173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -62*i - 1. Let y be d(1). Let u be -2 + (-165)\/y + (-20)\/70. What is the closest to u in -0.3, -73, -1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 96\/64 - (2\/(-4))\/1. Put -5, 0.03, a, 24 in descending order.\nAnswer: 24, a, 0.03, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*i - 3*v + 4, v + 15 - 9 = 3*i. Let 5*k**2 + 10*k**3 - i*k**2 - 2*k**4 - 7*k**2 - 2*k**2 - 18*k = 0. Calculate k.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 11 - 2*f**2 + 3*f**2 + 2*f + 5*f. Let d be z(-5). Is 1638 + 2\/(-5 + 3\/d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 10}. What is prob of sequence zzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4)\/2*(-23)\/(-2). Let g = 202 + -170. Let z = g + k. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-4 - -5) + 5 + (7 - 4) + -6. Let s(l) = -3*l**2 - 3*l + 38. Calculate s(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 2*w - 10 = 0, 5*w - 3*w - 4 = -5*q. Let t(j) = -2 + 3*j**3 - 2*j - 3*j**2 - 2*j**3 - 1 + q*j**2. Is t(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -66\/93235 and -89\/435.\nAnswer: 279705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s**3 + 9*s**2 - 5*s - 1. Let m(y) = y**2 - y. What is -5*m(w) + o(w)?\nAnswer: w**3 + 4*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(1\/42)*(m**(6\/11)*m)\/m assuming m is positive.\nAnswer: m**(263\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 50\/13 and -7\/8853.\nAnswer: 8853","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**2 - 738*s + 11943. What is x(16)?\nAnswer: 391","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1114 + 24?\nAnswer: 1143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the second derivative of -z**5\/4 + 25*z**4\/12 - 35*z**3\/6 + 15*z**2\/2 + 26*z. Determine s, given that b(s) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, 4, 5, 20 in decreasing order.\nAnswer: 20, 5, 4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a, 1 n, and 2 b when four letters picked without replacement from {u: 1, a: 2, o: 1, b: 5, n: 2, p: 2}.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -293*c - 11. Is f(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3593620 is divided by 169.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*l - 32857584 + 16408583 + 16449001.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) be the third derivative of 0*r**3 + 5 + 6*r**2 + 1\/60*r**5 + 0*r**4 + 0*r. Let j(c) = 38*c. Determine a(j(v)).\nAnswer: 1444*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1167573, -1167745, -1168035, -1168443, -1168969?\n\"Answer: -59*x**2 + 5*x - 1167519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**13*q)\/q*q**(-2)*(q\/(q\/q**(-5\/4)))\/(q\/((q*q**(11\/2))\/q)) assuming q is positive.\nAnswer: q**(61\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 16 - (-11 + (16 - 9)). Solve 0 = -24*g + 4*g - b for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 2*u = -5, 3*b - 14*u - 35 = -10*u. Suppose -39 = -b*v + 6. Let m(h) = -h**3 + 4*h**2 + 9*h - 12. What is m(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -34*j**2 - 1385445*j - 491596626 with respect to j.\nAnswer: -68*j - 1385445","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 27, 221, 753, 1791, 3503, 6057?\nAnswer: 9621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2790 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -75266.989 minus 0.3?\nAnswer: -75267.289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*g + 13*g - 8*g + 216)*(-g - 4*g + 0*g).\nAnswer: -10*g**2 - 1080*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -h**3 - 38*h**2 + 122*h + 87. Determine j(-41).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(140) - (sqrt(140)*-4 + sqrt(140)))*-3)\/(-3*sqrt(605)))**2.\nAnswer: 448\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yyeyxvr?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8 - -37) + 2 + -25?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s**2 - s - 4. Let g be (-76)\/18 - (-4)\/18. Determine o(g).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(-4\/13)*v*v\/v**(-1\/11)*(v*v*v**(-1\/4))\/v*v\/(v\/v**(-11)) assuming v is positive.\nAnswer: v**(-4843\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 94*p**2 + 14*p*s**3 + 37*p*s**2 - 2*p + 1853*s**3 - 282 wrt p?\nAnswer: 188*p + 14*s**3 + 37*s**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 0*l + 110 = 5*l, -l - 12 = -w. Let t(j) be the third derivative of j**6\/120 - j**5\/4 - 11*j**4\/8 - 7*j**3\/3 - 9842*j**2. Give t(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + 6*((1 + sqrt(832) - sqrt(832))*-4 + (-1*sqrt(832) + 2 - sqrt(832))))**2.\nAnswer: 1728*sqrt(13) + 119889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 69 - 47. Let m be -3 + 1\/10*c. What is the second smallest value in 1, -1\/4, m?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 37, 51, 75, 109, 153, 207?\n\"Answer: 5*s**2 - s + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2139093 is divided by 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 3\/1718 and -37.\nAnswer: 1718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-10 - (-255 + -3)) + 1 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8.7 + -1.7. Which is greater: -4 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -227 - -227. Solve v = w - 5*q + 10, w + 2*w - q - 12 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -73840*m**3 - 887*m**2 + 71998*m + 787.\nAnswer: -443040*m - 1774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(((1*sqrt(1008) - sqrt(1008)) + 1)*-4 + 6*((sqrt(1008) - (sqrt(1008) + 3*(sqrt(1008) + -3))) + sqrt(1008)))**2.\nAnswer: -86400*sqrt(7) + 885912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 2.56045 * -3\nAnswer: -7.68135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -11 + 11.3. Let z = -198 - -193. Let t = -0.1 + -0.1. Put t, z, r in ascending order.\nAnswer: z, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 8.42, 8\/9 in ascending order.\nAnswer: 0, 8\/9, 8.42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 34 = -5*x, -2*x + 3*c + 7 = -2*c. Let m = 5 + -3. Find the second derivative of 0 - m*w**3 + 6 - x - 4*w wrt w.\nAnswer: -12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 111466?\nAnswer: 2, 55733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 minutes before 5:45 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (5 - 3) + 4 + (4 - 7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 27218 or -5803?\nAnswer: -5803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a + 4*a - 336 = -340 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -49, 50, 299, 692, 1223, 1886, 2675?\nAnswer: 3584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-12 - -7) + (-71)\/(-13). Suppose 37*y + 21 = -16. What is the nearest to y in 0.4, c, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*f - 34 + 4 = 24*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2400) + sqrt(24))\/sqrt(8) - sqrt(192)*2.\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 68020718 to the power of 1\/3, to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 15 = 81. Suppose 0 = 18*k - i*k + 8. Suppose -l - j - 3 + 24 = 0, -4 = -k*j. What are the prime factors of l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10 (base 14) to base 5\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(12) - ((sqrt(192) + sqrt(12))*1 - sqrt(12)))\/(sqrt(144)\/sqrt(4)))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24 = 4*i - 13038*m + 13034*m, 0 = -6*i + 5*m - 33 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*p - 4*v + 62899, 50*p + 113151 = 59*p - 4*v. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 12 - 12.14. Let n = 0.8 - 0.98. Let k = n + s. What is k rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 11 + 27?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2896 - -2896.2. What is the third smallest value in i, 3\/2, 0.106?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*h - 8*h = 10. Let s = 12 + h. Let x be (-4)\/(-1) + s + 8. What is the highest common divisor of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2 and 9597.\nAnswer: 19194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 2*b**2 + 12*b - 385. List the prime factors of j(34).\nAnswer: 5, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26342881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -3*y**2 - 7. Let z(k) = -k**2 + 9*k - 12. Let o be z(8). Let p be l(o). Let q = p + 92. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 61 a factor of 2623?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (-731)\/(-68)*696 + (-2)\/2 + 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -14 + 36. Let t be a + -1*(-3 + 2). Solve -3*r - 4*w = -0*r - t, -3*w = -4*r + 14 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3 - -682?\nAnswer: 67a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 + (-2 - (7 - 6 - 0))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = 5*z, 0 = d - 5*z - 3 + 25. Let k be 5 + (-3 - (3 + -3)). Let w be -4*(-1 + k\/4). Put 0, d, w in ascending order.\nAnswer: 0, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -30 + -2. Let y be b\/20*(3 - 28). Let h = -35 + y. Put h, -5, -1 in decreasing order.\nAnswer: h, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -58607303671 and -21.\nAnswer: -58607303692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 minutes after 5:21 PM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -149038*s**3 + 14*s + 64. Let d be o(-7). What is d rounded to the nearest 1000000?\nAnswer: 51000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 41650 and 8670?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 123495, 123480, 123465, 123450, 123435?\nAnswer: 123420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/(-13) - 11\/(-13). Differentiate q**2 - q**2 + 3*q**4 + h + 0 with respect to q.\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 288 and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 11.6 - 7.6. Sort 5, j, -1\/7, 0.3 in ascending order.\nAnswer: -1\/7, 0.3, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.2, -1.56, 1\/5, 5?\nAnswer: -1.56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10\/(-6))\/(-1)*30\/450.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 4*h**2 - 8*h + 4. Let l be o(-7). Let v be 198*(1 - 0) + -2. Suppose 0 = -8*f + 3*f + 3*t + l, -4*f + v = 2*t. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*o + 2 = 79*b - 83*b, 2*o + 10 = b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -2bf02 (base 16) to base 11\nAnswer: -11323a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1)\/(-1) - (3 + 0). Let u be 2\/(-4) - 11\/c. Let x = -2 + 2.2. What is the nearest to -0.1 in u, 3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19599?\nAnswer: 3, 47, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 3709646858 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put together 10173429 and 14.\nAnswer: 10173443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3118, -6236, -9338, -12424?\nAnswer: -15494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 81, 165, 245, 321, 393, 461, 525?\nAnswer: 585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 2, 32, 3, -42.7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:23 AM and 10:46 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(1\/5)\/m**6)\/(m*m*m**(-3))**2 assuming m is positive.\nAnswer: m**(-19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j**3 + 20*j**2 - 73*j - 147. What is v(-23)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**2 - r. Let o(j) = -3*j**3 + 2*j**2 - 3*j. Let m(f) = 2*o(f) - 4*q(f). Factor m(y).\nAnswer: -2*y*(y - 1)*(3*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 4 - 30*u + 7.\nAnswer: -30*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -0.246, -3, -1, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 156455 divided by -2?\nAnswer: -156455\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 88 - 90. What is the common denominator of (-250)\/(-105) - (y + 4) and 95\/36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-17*w - 3*w + w)*(-1 + 3*w**4 + 1) - 3*w**4 + 53*w**2 - 52*w**2 + 2*w**5 + 0*w**5 - 5.\nAnswer: -55*w**5 - 3*w**4 + w**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in 4, 0.3, -25?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2  (b) 1\/2  (c) -0.4  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 293*p + 1670 + 7999 = 0 for p.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -10*g + 3. Let y(q) = -295*q**2 + 2*q. Calculate y(j(k)).\nAnswer: -29500*k**2 + 17680*k - 2649","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**8*z\/z**(1\/27)*z assuming z is positive.\nAnswer: z**(269\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -2*m - 583. Let q(r) = -r - 292. Determine 6*i(p) - 13*q(p).\nAnswer: p + 298","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -39847 divided by 3?\nAnswer: -39847\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -c**2 + 15*c + 118. What is a(21)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 104*n**2 - 35*n**2 - 70*n**2. Let m(z) be the first derivative of 5*z**2\/2 + 2. Calculate m(h(c)).\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tttttcctttttt. Give prob of sequence ctc.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-6)\/12 + (-46)\/(-76). Is 0 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 36 (base 7) to base 3\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -15 + 15.1. Which is the closest to i?  (a) 0.1  (b) -5  (c) -13  (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 9 = 4*g - 2*p, 15 = -3*p. Let s(z) = 3*z + 1. Let x be s(1). Let k be 6\/8 - 19\/x. Put 4, g, k in descending order.\nAnswer: 4, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 3*w + 2. Let b(k) = -13*k - 408. Determine b(r) + 5*j(r).\nAnswer: 2*r - 398","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 3*k**3 + 2*k**2 - 2*k + 1. Let m(o) = -o**2 + 2*o**2 + 243*o**3 + 1 - 242*o**3 - o. Calculate i(r) - 2*m(r).\nAnswer: r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 369*b**2 - 2*b - 369*b**2 - 32*b**3.\nAnswer: -32*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l**(-2\/3)*l)**(5\/8)\/(l**5*l**0))\/((l**1\/(l*l\/(l\/(l*l\/l**(2\/19)))))\/(l*(l**8\/l)\/l*l*l\/((l\/l**(4\/7)*l)\/l))) assuming l is positive.\nAnswer: l**(5027\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.8 + 0.2. Suppose -3*p = 2*p - 185. Let k = -149\/4 + p. Sort -0.04, i, k in decreasing order.\nAnswer: i, -0.04, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6735359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*o**3 - 38 - 5*o + 2*o**3 + 37 - 3*o**2 - 3*o**3 in the form h*o**2 + j*o + t + d*o**3 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 13 - 12. Let z be (-42)\/(-18) + 4\/(-3) + p. Solve z*f + 6 = 4*r, 4*r + 7 = 2*r - f for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 4*v. Let n = 0 + 3. Suppose -z - 1 = -n. List the prime factors of c(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 168*n = -202*n - 4070 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does -190 = -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 940675159, 940675152, 940675141, 940675126, 940675107, 940675084?\nAnswer: 940675057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 27207350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 19 = -5*u + 3*q, -5*q - 20 = -u. Suppose 2*v = -u*z - 1310, 27 - 2 = 5*v. List the prime factors of (-22224)\/z - (9\/(-11) + 1).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0  (b) 0.1  (c) -1309  (d) 4  (e) -97  (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 9\/2 - (-24)\/(-16). Let y be (6\/d)\/((-10)\/(-10)). Solve -10 = -y*m - 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*k + 6*k - 111 = 24*k + 9*r, 0 = 3*r + 42 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = j**3 + 5*j**2 - 2*j - 5. Let m be n(-4). Solve m = u - 5*l, 5*l = 2*u + u - 27 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d**3 + 7*d**2 - 5*d - 6. Let y be m(6). Suppose 3*n + 22 = -2. Let k be 3\/((-6)\/n) + -2. Is k greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 291 minutes after 12:14 AM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the second derivative of 17*j**4\/6 + 2*j**3 + 18*j. What is the second derivative of z(d) wrt d?\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 70 + -50. Calculate the highest common divisor of 200 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-23*w**4 - 10*w**4 + 4*w**4)*(473*w - 235*w + 713*w + 538*w - 194*w).\nAnswer: -37555*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -161, 2, -84, 1 in descending order.\nAnswer: 2, 1, -84, -161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - x = 11 + 5, -16 = -4*x. Suppose -3*i - 2*r + 6 = 0, -n*r - 19 = -i + r. Solve 0 = -5*q - 3*m - 0*m - 17, 3*q - i*m - 13 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {f: 1, z: 14}.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 48 a factor of 84466749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -18  (b) 0.8386  (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 5 from 0.0645221670963538.\nAnswer: -4.9354778329036462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 15*j**2 + 915*j - 1320. Determine z(-62).\nAnswer: -390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 566 + -558. Solve -40 = -0*z + x*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = k**2 - 5*k - 19. Let h be t(8). Solve -4*r + h*r = -m + 6, 16 = 5*r - 2*m for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 329181?\nAnswer: 3, 179, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 - 45*a**3 - 377*a**3 + 7*a**2 + 3*a**2 - 1 - 7*a**2 in the form b + h*a**2 + u*a**3 + r*a and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7976 + 7976.08798. Round g to 3 dps.\nAnswer: 0.088","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 253902?\nAnswer: 2, 3, 11, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - (-114)\/14 - 7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2 - -216ef5?\nAnswer: 216ef3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 25243751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Round 0.00120112998 to four dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -5558153 times -0.6\nAnswer: 3334891.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -16, -64, -150, -280, -460, -696, -994?\nAnswer: -1360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -3121301, -6242645, -9364029, -12485453, -15606917, -18728421, -21849965?\n\"Answer: -20*i**2 - 3121284*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 79c2 + -ca?\nAnswer: 78c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-42)\/28)\/(7*(-21)\/(-1078)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 7024136320 a multiple of 4855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*s**2 + 2*s**2 - s**2)*(-2*s + s**2 + 2*s) - 2*s**4 - 2*s**2 + 2*s**2 to n*s**4 + l + c*s**3 + v*s + y*s**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4131?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (87*a + 6*a - 20*a)*(-2*a**3 + 0*a**3 + 0*a**3) + (2*a - a**2 - 2*a)*(-3*a**2 + 6*a**2 - 2*a**2) + 0*a**3 + 0*a**3 - a**4.\nAnswer: -148*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide -247 by -5549.\nAnswer: 247\/5549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence upm when three letters picked without replacement from {q: 3, u: 2, m: 5, r: 1, p: 5}.\nAnswer: 5\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - -37 - (314 + -294) - (-1 + -61).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/8195 or 0?\nAnswer: -2\/8195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*r - 2532*r**4 - 60*r**3 + 2531*r**4 + r**2 - 3 + 35*r**3 as g*r + w*r**2 + l + t*r**4 + f*r**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 171503469 to the power of 1\/2, to the nearest integer?\nAnswer: 13096","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 115 divided by -2?\nAnswer: -115\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d = i + 57 + 8, -5*i + 7*d = d - 47 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1128 = 14*t - 2*t. Does 32 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.03 + 0.07. Let a(f) = f - 8. Let y be a(8). Suppose r - 3*p = 0, 2*r - 5 = p - y. Sort r, 4, z in descending order.\nAnswer: 4, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4788 and 16746429.\nAnswer: 200957148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the first derivative of -j**2 + 101*j + 65. What are the prime factors of v(0)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q + 16. Let k(c) = -2*c + 32. Let r(y) = -4*k(y) + 9*u(y). Let m be r(14). What is the greatest common divisor of m and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 2*z + 439996 = -l, 0 = -l - 3*z - 439997. Round l to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (2 + (-57)\/27)\/(-4*(-1)\/24). Which is the nearest to p?  (a) 0.3  (b) -1\/5  (c) 3  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 45 = -2*m, -3*y - 2*m = 2 - 13. Is 29 a factor of 120 + -1 - (y - (-2 + 6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 607460.2 kilograms?\nAnswer: 607460200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) be the third derivative of 0*t**3 - 3\/112*t**8 + 0*t + 7\/60*t**5 - 19*t**2 + 0*t**7 + 0 + 0*t**6 + 0*t**4. Find the third derivative of d(g) wrt g.\nAnswer: -540*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(-8)\/(((r\/(r*(r**(-6)\/r*r)\/r))\/r)\/r)*(r**(-1))**(-3\/49) assuming r is positive.\nAnswer: r**(-634\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the first derivative of k**4\/22 - 2*k**3\/33 - 2*k**2\/11 + 6. Factor j(y).\nAnswer: 2*y*(y - 2)*(y + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 0*u + 585 = 0. List the prime factors of u.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 14) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -473*k + 128 = -409*k. Solve -5*z - 12 = -k*i, -21*z + 20*z + i = 3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1806 and 892680.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u + u - 64 = 31*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(12)\/sqrt(2))\/sqrt(3) - (-1 + -1 + sqrt(2) + sqrt(2)) - sqrt(8)\/(-6*(sqrt(4)*-2 - sqrt(4)) + sqrt(4) + sqrt(4))) + 3.\nAnswer: -21*sqrt(2)\/20 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2339, -2355, -2375, -2399, -2427?\nAnswer: -2459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -2*-49.598\nAnswer: 99.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 27, 4, 60, -14, 2 in descending order.\nAnswer: 60, 27, 4, 2, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2668967 and 310345.\nAnswer: 13344835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2936*w**2 + 54*w**2 - 103*w**2.\nAnswer: -2985*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0.98448*-1.3\nAnswer: -1.279824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, 77, 3\/7 in ascending order.\nAnswer: -0.3, 3\/7, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1099, -8449, -28397, -67243, -131287, -226829?\n\"Answer: -1050*h**3 + h**2 - 3*h - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -25\/13, -0.4, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f, 1 u, and 1 o when three letters picked without replacement from {t: 1, o: 2, f: 1, r: 1, u: 2, x: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 100*m - 694. Let c be g(7). Let w(o) be the third derivative of 10*o**2 + 0 - 1\/780*o**c + 0*o + 1\/156*o**4 - 1\/39*o**3 + 1\/390*o**5. Factor w(s).\nAnswer: -2*(s - 1)**2*(s + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 3*j - 123. What is m(40)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -8*g**2 - 182*g - 924. Calculate q(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the second derivative of -8*t**2 - 3\/2*t**3 + 0 - 14*t. Differentiate j(m) with respect to m.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*t = 12*t + 36. What is the remainder when 53 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 8*t**2 + 66*t + 8. Let o(p) = -9*p**2 - 67*p - 10. Calculate 5*j(w) + 4*o(w).\nAnswer: 4*w**2 + 62*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 662 is divided by 138?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.03464*11.\nAnswer: 0.38104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 11445481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -25755, -103043, -231849, -412167, -643991?\nAnswer: -927315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d*d\/(d**(3\/16)*d))**(1\/4))**(-15\/11) assuming d is positive.\nAnswer: d**(-435\/704)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 + 3)*(0 - 2 + 4 + 3*s).\nAnswer: 6*s + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 2685 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 141 a factor of 11955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.07 + -5.07. Let o = -25619\/6 - -4270. What is the second smallest value in t, 16\/3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1769782247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 77338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 112 divided by 259613?\nAnswer: 112\/259613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8962?\nAnswer: 2, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2.9 - 2.7. Let y = -0.9 - -1. Let w = -0.16 - -2.16. What is the nearest to q in 5\/4, w, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -o**3 + 5*o**2 - 19*o + 101. Let n(x) = x**2 + x - 1. Let d be n(-3). Let p be u(d). Solve -11*h + p*h = 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4, -3, -26, -71, -144, -251, -398?\nAnswer: -591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 12185806 - 4?\nAnswer: 12185802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -2 * -6790.6715\nAnswer: 13581.343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 3*w**2 - 2*w + 1. Suppose 0 = -2*j + 14 + 30. Calculate the least common multiple of j and b(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -94*y**3 - 38*y**3 + 46*y**3 - 34*y**3.\nAnswer: -120*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*f**2*r*s*v + 4*f**2*s + 20*f*r**3*s - f*r**3*v + 3*f*r*s + 208*r*s*v wrt v.\nAnswer: -2*f**2*r*s - f*r**3 + 208*r*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) -0.1  (b) 1\/4  (c) 10  (d) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*i + 7 - 7)*(-3 - 3*i**2 + 3) + (-2*i**2 + 4*i**2 - 3*i**2)*(6*i + 7 - 7) to j*i**3 + y*i**2 + p*i + v and give j.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 5\/(-25)*170\/4. Let s = o - -42\/5. What is the biggest value in s, -2, -24?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j**3 + 4*j**2 - 14*j - 12. Let h be v(-6). Solve h*d = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 879728 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: 22 * -193.4\nAnswer: -4254.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 427417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 2, -2, -22, -4, 5, -9 in ascending order.\nAnswer: -22, -9, -4, -3, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let 235*q**5 - 147570*q**4 + 25232015*q**3 - 637072760*q**2 + 1149361980*q + 50064560 = 0. What is q?\nAnswer: -2\/47, 2, 28, 299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 171 divide 638856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5515*b**5 + 12*b**4*k - b**2*k - 42*b*k - 2*b - 26*k wrt b?\nAnswer: 330900*b**2 + 288*b*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w**3 - 13*w**2 + w + 14. Let z be (-1 - -1) + (-120)\/(-15). Suppose z*h - 65 = 3*h. What is the tens digit of y(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.5 - -0.4. Is 0.09 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 62 divide 45273454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 639631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Add -1172107618 and 8894.\nAnswer: -1172098724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:03 PM and 1:28 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-6)\/30 + 36955\/25. Let f be 25095\/12 - (-6)\/8. Let o = f - m. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 6*o**3 + 5*o**2 + 2*o - 4. Let k(z) = -5*z**3 - 4*z**2 - z + 3. What is -4*k(v) - 3*r(v)?\nAnswer: 2*v**3 + v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 9020*o**5 - o**2 - 8*o + 355.\nAnswer: 180400*o**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -257 + 261. Suppose -2*l = l - 4*f + y, 5*f = -25. Let j(d) = -d**2 - 9*d - 6. What is j(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eecjjcpujcejezeejpjp. What is prob of sequence cpz?\nAnswer: 1\/760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.12, 10424, -0.2?\nAnswer: 10424","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1963*a - 1969*a + 3935*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 3329951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 276 divide 125232288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = -2*a - 21, 4*p + 8 + 14 = -2*a. Let z be (a + -2)\/(-2 + 1). What is the highest common divisor of z and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = a - 4. Let s = 56 + -53. Suppose -7 = -v - 1. Suppose -s*n - v = -n. Give r(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8667542 millilitres in litres?\nAnswer: 0.0008667542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 39807.\nAnswer: 3, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (7\/9)\/1 + -1. Let i be (-4)\/(-5)*(-30)\/(-4). Let h be (i\/(-28))\/(6\/16). What is the second biggest value in 1, h, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 159980.\nAnswer: 2, 5, 19, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 2*g**3 + 33*g**2 + 134*g + 45. Determine t(-7).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 415098147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 12*t - 95. Let n be x(8). Let u = 1\/6 + -1\/12. What is the common denominator of -50*(-1)\/76*n and u?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -52666040 * 0.01.\nAnswer: -526660.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -68*s**3 + 7*s - 3*s - 55*s**3 - 18*s + 14*s.\nAnswer: -123*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -5  (b) -0.5  (c) -3\/4  (d) 75.6  (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 196736526?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 70305822 and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -25 times 1418\nAnswer: -35450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 38364*i**3 - 171118*i wrt i?\nAnswer: 230184*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 480542.4 nanograms?\nAnswer: 480.5424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 81*g**2 + 129*g**2 - 154*g**2. Let u(v) = -v + 1. Let j(k) = -k**2 + 6*k - 6. Let q(z) = -j(z) - 6*u(z). What is q(a(d))?\nAnswer: 3136*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p**3 + 2*p**2 + 74*p - 757. What is o(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 127, 106, 33, -122, -389, -798?\nAnswer: -1379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + o + 3)*(0*o**3 + o**3 + o**3).\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9497451.\nAnswer: 3, 67, 47251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(320) + (sqrt(320) - (3 + -2*sqrt(320))**2) + sqrt(320) + 0 + (sqrt(45) + 0)**2.\nAnswer: -1244 + 120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 2, g: 4, t: 2}. Give prob of sequence aggg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the second derivative of y**3\/2 - y**2 - 9*y. Suppose -u = -5 - 1. Suppose -5*x + u = -14. Give d(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -1222*t. Let o(m) be the first derivative of -2*m**2 + 790. Determine i(o(n)).\nAnswer: 4888*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3273)\/5 - 3\/(-5). Calculate the remainder when 48 is divided by p\/(-26) + (-4)\/26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1606 + -148?\nAnswer: -1751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence thf when three letters picked without replacement from {f: 4, h: 3, t: 4}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 98 + -61. Let f be 3\/(-21) - ((-16)\/(-126))\/(-4). Put f, 1, d in ascending order.\nAnswer: f, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*a**4 + 1022*a**3 - 4110*a**2 + 5146*a - 2060.\nAnswer: 2*(a - 2)*(a - 1)**2*(a + 515)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 6*i**2 - 4*i + 7. Let x be z(2). Let p be (-3 + 1 - 56)\/2. Let h = 52 + p. Calculate the highest common factor of x and h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9035864 and 18568?\nAnswer: 1688","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 17*p - 265 - 738. Suppose -p*f + 62*f = -6. Let o = 4.6 + 0.4. Which is the fourth smallest value?  (a) -0.3  (b) f  (c) 1\/18  (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2c30594 + -1?\nAnswer: 2c30593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 2b7a (base 12) to base 13\nAnswer: 244c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*b + 15, 3 + 9 = -7*m - 12*b + 9 - 36 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10493 = -70*c + 600122 + 335505. Is 84 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -2*t + 9. Let n be l(6). Sort -4, 1, n in increasing order.\nAnswer: -4, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence afaf when four letters picked without replacement from aafffaa.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -2803*h + 1647*h + 13 - 13 in the form z*h + l and give z.\nAnswer: -1156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -368 - -371. Let l(a) = 11*a - 8. Calculate the remainder when 145 is divided by l(h).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at least as big as -1976\/10651?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1000100110110110 - -100?\nAnswer: 1000100110111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -425 - -567. What is the remainder when u is divided by -1 + 27 - 4\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -5 - 2 + 3 + b. Let u(y) = y**2 + 18*y - 6. Let r be u(-18). Give m(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*k**2 - 4*k**4 - 3*k + 2*k**3 + 0*k - 3*k**2 + 6*k**2 - 2*k**2 as v*k**2 + m + g*k + a*k**3 + x*k**4 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 11985*u**6 - 57*u**2 + 4.\nAnswer: 1438200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -59*n*x - 5*n - 776*x with respect to n.\nAnswer: -59*x - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -4*r**2 - 3*r - 12. Suppose -3*h + 0 = 9. Let s(c) = -3*c**2 - 4*c - 11. Let g(y) = h*s(y) + 2*k(y). Suppose g(w) = 0. What is w?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 126558 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/3*(-5142)\/281953?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -14 + 269. Let y = 383 - s. Does 8 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4 - -100. Let t = g + -99. Let j = -1 - -1. Which is the smallest value?  (a) -1\/2  (b) t  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.4 - -0.3. Suppose 0 = -u + 3*u - 4*k - 20, 5*u - 2*k - 42 = 0. Suppose -4*o = -u*o - 12. Sort -0.3, o, q.\nAnswer: o, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the first derivative of c**8\/112 + c**7\/70 - c**2\/2 - 2. Let k(x) be the second derivative of o(x). Determine v, given that k(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 11 + -3 + -2 + 2. Suppose -7 = -3*a + i. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 225794 is divided by 24.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 + 19 = 9*j. Suppose 2*q = -j*r - 5, 15 = -5*r - q + 5. Let z be 12*(-6)\/(-8) - r\/1. Calculate the greatest common factor of z and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*j - 510*j**2 + 169*j**2 + 168*j**2 + 167*j**2 + 22*j.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1196*j = 1168*j - 336 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3079, -11759, -26039, -45919, -71399, -102479?\nAnswer: -139159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/2, 2\/1769, -2\/9 in ascending order.\nAnswer: -3\/2, -2\/9, 2\/1769","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 390016?\nAnswer: 2, 11, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5*w**4 + 4*w + 5*w**4 - 3*w**4 wrt w?\nAnswer: 84*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dede when four letters picked without replacement from {y: 5, d: 2, e: 4}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 12 + 14 + b**2 - 7 + 2 + 14.\nAnswer: b**2 + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1555)\/5598*48\/(-20).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4744777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-1)\/(-12))\/(-1 - 13\/(-14)). Is -5 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) be the third derivative of b**5\/70 - 13*b**4\/84 + 4*b**3\/21 - 69*b**2 + 2*b. Solve z(t) = 0.\nAnswer: 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*b**4 + 4*b**4 - b**2 - b**3 - b**4 to n*b**4 + p*b + m*b**3 + q*b**2 + o and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = g**4 + 2*g**3 + g**2 + 3. Let k(j) = 5*j**4 + j**3 - j**2 + 147*j + 18. Let p(z) = k(z) - 6*r(z). Factor p(i).\nAnswer: -i*(i - 3)*(i + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = v**2 - v. Let j(o) = -o**2 - 8*o - 10. Let h be j(-6). Let t(l) = 4*l**2 - 2*l. What is h*t(q) - 6*w(q)?\nAnswer: 2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1\/1*(-4 - -4). Suppose 3*j + 15 = y, 2*j + 704 = 2*i - 90. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 7, i: 12}. Give prob of sequence sssi.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.1, 6042, -3, 8, -0.8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/w**(-4\/3))\/(w*w\/w**(2\/25)))\/((w*w**(2\/9))\/w*w*w**(-1\/2)\/w*w) assuming w is positive.\nAnswer: w**(-139\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (1*(-18)\/(-12))\/(7\/(-2))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 232 + -184. What is the common denominator of 79\/16 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32*d - 17*d - 162*d.\nAnswer: -211*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -2*w - 16. Let c(j) = 1. Let i(a) = 3*c(a) - y(a). Let q be i(-8). Solve -2*s + q*g + 8 = -0*s, -4*s - g = 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - ((-17 - -9) + 4 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 343 + 10?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/18  (b) 0.4  (c) 2.6  (d) 8  (e) 17  (f) 2\/9  (g) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 18 and 29.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -63 + 85. Suppose 0 = -5*s - x + 7. Sort s, 3, -2, 5 in decreasing order.\nAnswer: 5, 3, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-147)\/(-14))\/((-5)\/(-7 + -3)). Let k = 7 + 182. What is the greatest common factor of g and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(2\/7))**(-46)\/(u**7\/(u**(-2\/7)*u)) assuming u is positive.\nAnswer: u**(-136\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 31810639 and 12887.\nAnswer: 1841","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/(-1)*6\/4. Solve 0 = 2*r - z + 7, -3*r + 0*r + j = 3*z for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 1, 19, 10, 18, -3 in decreasing order.\nAnswer: 19, 18, 10, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 8095697 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2201 and 2201.\nAnswer: 2201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 77380280 by 84109.\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 - (3 + 2 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - 7 - 9*l**2 - 4 + 9 to h + a*l**2 + y*l and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 117 + -116. What is the biggest value in -0.4, 4, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-117)\/(-1755))\/(2\/(-8)))\/(2\/(-20))\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3578\/570691*(-2*1 + 3).\nAnswer: 2\/319","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-42)\/(-30))\/((-70)\/175).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -827*k - 100*k - 10103 = 14926 for k.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 48179 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: Find the first derivative of -1081*j*n - 3981*j - 3*n wrt n.\nAnswer: -1081*j - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d**4 - 627014*d**3 + 1254022*d**2 - 627010*d = 0. Calculate d.\nAnswer: 0, 1, 313505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2 - 200?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/((-4)\/(-2))*3\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 18*z - 31. Let c be b(11). Let q(v) = 107 - 9*v - v - c. Let f be q(-11). What is the highest common factor of f and 250?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 11*a**2 + 2*a + 1. What is the remainder when 1*-95*(-2)\/5 is divided by v(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 125 + -53366?\nAnswer: -53241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 13330, 13337, 13250, 13075, 12818, 12485, 12082?\n\"Answer: a**3 - 53*a**2 + 159*a + 13223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9\/14 - 1\/7. Let y = -0.56 - -0.36. Is y >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 4 = 2*q + 5*p, q = 3*p + 22. Suppose -3*x + 8 = -q. Does 3 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 166, 687, 1566, 2803, 4398, 6351, 8662?\n\"Answer: 179*h**2 - 16*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that c**3\/5 + 7*c**2 - 478*c\/5 + 1288\/5 = 0.\nAnswer: -46, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4522 and 2394?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -m**3 + 3*m**2 - 59 - 2*m**3 + 61 - 2*m**2 to b*m**3 + h*m + v*m**2 + w and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 101102 - -2?\nAnswer: 101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 5*h = 28, h - 22 = -u - 4*h. Let n(o) = 7*o + 3. Let w(t) = -3*t - 2. Let c(f) = -2*n(f) - 5*w(f). What is the units digit of c(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -5290 and -153.\nAnswer: -5443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 6 = -3*v + 2, -5*v + u + 2 = 0. Suppose v = 9*x + 10*x - 7220. Is x a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1665625 is divided by 1665621.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*c = 2226 - 2249 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h, 1 j, and 1 t when three letters picked without replacement from hhssssshhthsjsss?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -166*a*h**3 - 14*a*h**2 - 2*a*h + 11*h**4 + 53 wrt h?\nAnswer: -996*a + 264*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 858035 is divided by 535?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*r**2\/5 + 138139206*r\/5 - 1590203352859203\/5.\nAnswer: -3*(r - 23023201)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4)\/10 + 2\/5. Suppose -10 = 5*j - 35. Suppose n = -j + 19. Solve t = 2*m + 4 - n for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that 39*b**3\/8 - 4290951*b**2\/8 + 118023844953*b\/8 + 190665100647\/8 = 0.\nAnswer: -21\/13, 55013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sum -4 and -436.96.\nAnswer: -440.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*y**4 - y**2 - 2*y**2 - y**3 + 5*y**3 to the form w*y**2 + b*y**4 + c + p*y + i*y**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxjjjjjjj. What is prob of sequence xj?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 12*t**3 - 13*t**2 - 51*t - 9. Let m(g) = -4*g**3 + 4*g**2 + 16*g + 3. Let f(z) = 4*i(z) + 13*m(z). What is f(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 3631, 7266, 10901, 14536, 18171?\n\"Answer: 3635*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 0 + -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r = v - 8, 2*v = -2*r - 3*v + 16 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) be the first derivative of 29*w**2\/2 + 11*w + 5907. Give c(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the third derivative of v**5\/60 + v**4\/24 - 2*v**3\/3 - v**2. Let r be w(-3). List the prime factors of (-2)\/(-1)*7\/r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2482*c*s**2 - 27*s**2 + 15*s wrt c?\nAnswer: 2482*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (7 - 1) + 0\/2. Suppose n + 75 = f*n. Solve -2*j + n = -5*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 5*w = 10, 0 = -4*r - r + 2*w - 4. Suppose 0*y + 4*y - 8 = r. What is the tens digit of (13 + (2 - y))*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of h**5 - 109*h**4 + 3*h**3 + 14*h**2 - 15*h - 2?\nAnswer: 60*h**2 - 2616*h + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 at least 41\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, -2\/15, -3\/8, -2\/9, 0.0458 in decreasing order.\nAnswer: 8, 0.0458, -2\/15, -2\/9, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r\/(r*r**(-1\/3))*r*r**(-25\/3)*(r*r\/r**(-4))\/r**6)**47 assuming r is positive.\nAnswer: r**(-282)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: ((-10)\/(-25))\/(26\/(-10))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16 + (-10 - (-16 - -4)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -172 + 188. Solve 11 = -9*j - u for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y + 92 = -4*c, -419*c - 76*y + 80*y - 7047 = 3835 for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {o: 4, n: 3, x: 1, h: 4, z: 1, s: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -36599380 divided by 1829969.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9 + 4. Let m(d) = d**2 + 4*d + 7. Let a be m(o). Calculate the highest common divisor of 108 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 1. Let l be (-84 - 3) + 7 + -3. Let n = l - -81. Let u(x) = 3*x**2 + x - 2. What is n*d(i) - u(i)?\nAnswer: -3*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -2*u - 30. Let z be b(-18). Suppose 6 = 6*r - z. What is the greatest common divisor of r and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4 - 126\/(-30))*25. Let k(t) = 17*t**2 - 4*t + 6. What is the tens digit of k(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*a**4 + 2*a**2 - 9*a**4 + 12*a**4 + 3 - 4*a**2 to the form d*a**4 + j*a + w*a**2 + h + y*a**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:17 PM and 8:45 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -2\/7, 10, 18\/107, -4, 4 in increasing order.\nAnswer: -4, -2\/7, 18\/107, 2, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(17)*-2)**2 + (sqrt(17) - 2*sqrt(272)).\nAnswer: -7*sqrt(17) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -26\/385 and -23\/2310.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 2*k**3 + 5*k**3 + k + 0*k**3 + 6 + 6*k**2 - 5*k**3. Let x be g(-3). Suppose -4*v - 124 = -4*l, 4*l - x*v = 129 - 2. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1166693 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -y**3 - 11*y**2 - 7*y + 15. Determine u(-7).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 + j**2 - 6*j**2 - 4 + (-1 - 1 + 1)*(3*j**2 - 4*j**2 - j**2) + j**2 + 3*j**2 - 6*j**2 to the form o*j**2 + z*j + s and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -114*t + 15*t. Solve 4*l + i + 7 = 0, -3*i + 3 = -t for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-488)\/(-12))\/(10\/(-15)). Let s = p - -75. Calculate the remainder when 20 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 minutes before 9:32 AM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 6381 take away 0.208?\nAnswer: 6380.792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -201182555*m - 391565161 wrt m.\nAnswer: -201182555","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3*v + v + 4*v)*(-3 + 5 + 0) - 12 + 13*v + 12)*(-5 + 4 + 2)*(-17*v - v + 3*v).\nAnswer: -255*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (68864\/10)\/(-4)*-5. Suppose -x + 6444 = -3*n - 4*x, y = -4*n + 4*x. Round n to the nearest 100.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -46*z**3 - 2*z**2 - 2*z - 1. List the prime factors of s(-1).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-2)\/(-8))\/((-6)\/(-24)). Let i be ((-3)\/9)\/(o\/(-9)). Solve 5*n + i*p - 7*p = 0, 2*p = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 5268.914 to 0 decimal places.\nAnswer: 5269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1699014 divided by 6?\nAnswer: 283169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 5 and -407.\nAnswer: -2035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 5060293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 6 - 5)*(2*b**3 + 2*b**3 - 5*b**3) + (-1 - b**2 + 1)*(b + 0*b - 2*b) + (1 - 1 - 2)*(0*b**3 + 0*b**3 - b**3) + 4*b**3 - 4*b**3 + 2*b**3.\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -12*y**3 - 9*y**3 - 10*y**3 + (-3*y + 3*y + 5*y)*(4*y**2 + 0*y**2 - 2*y**2).\nAnswer: -21*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -83*a - 334 = -1413 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -o**2 + 7*o - 6. Let c be x(4). Suppose 8*g - c*g + 214 = 0. Let s = -65 - g. List the prime factors of s.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 28.801095 minutes?\nAnswer: 0.48001825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (4 - 476\/21)\/((-2)\/3). Suppose 2*r + k = 5*r + 2*s, 2 = 2*r - 2*s. Let i be 14\/(9\/(27\/r)). Solve -3*n + 4 = 2*f - i, 13 = 5*n - 2*f for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4733076275?\nAnswer: 5, 23, 8231437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7968, 7987, 8050, 8175, 8380, 8683?\nAnswer: 9102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 180516661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 2*u**3 + 27*u**2 - 251*u + 522. Let k(c) = 3*c**3 + 26*c**2 - 249*c + 520. Let g(b) = 3*k(b) - 4*y(b). Factor g(j).\nAnswer: (j - 16)*(j - 11)*(j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 1, r: 4, a: 6, f: 2, t: 3}. What is prob of picking 2 a and 1 m?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 294 divided by 6\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -21 + 3?\nAnswer: -1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -171 - -287. Suppose -13*j + 1559 - z = 0. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-36)\/240*(-2)\/(-3))\/(783\/(-1044)). Find f such that -14\/15*f**3 - b*f**2 + 0 + 2\/15*f**5 + 2\/15*f**4 + 4\/5*f = 0.\nAnswer: -3, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (10 - 5) - 1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5679228 (base 10) to base 12.\nAnswer: 1a9a710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -a**3 - 2908*a**2 - 34772*a - 57920 = 0. What is a?\nAnswer: -2896, -10, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 10 = -4*u. Sort 0, -7, u.\nAnswer: -7, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3396 and 21?\nAnswer: 23772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (0 + 0)\/(0 - -2). Suppose 2*t = -5*f - 0*f + 6, -t - f = p. Suppose 4 = -2*a + 8. Sort t, -4, a.\nAnswer: -4, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q**2 - 2*q - 11. Suppose 0 = -4*b - 5*p + 15, -8*b + 9*b = -2*p + 3. What is z(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 89.89 rounded to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1747959346?\nAnswer: 2, 7, 17, 7344367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1488131507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15185915 is divided by 16138?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w = 3*b - 61, 0 = 4*b + 3*w - 3856 + 3815 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 10, n: 10}. Give prob of picking 3 n.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 2135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -134*k**3 - 37*k**2 + 37*k**2 + (-5 + 4*k + 5)*(k**2 + 2*k**2 - k**2) in the form g + b*k**3 + f*k + p*k**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2819 is divided by 91.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2399510 by 19.\nAnswer: 126290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*t + 6529 - 6529.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -808 + 3797. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -j**2*k - 4858*j**2 - 511*k wrt k.\nAnswer: -j**2 - 511","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 6*c**2 - 2*c - 16. Let o(v) = -30*v**2 + 10*v + 74. What is -14*a(r) - 3*o(r)?\nAnswer: 6*r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1033329127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*t - 4*w - 6, -4*w + 15 = w. Let a(q) be the second derivative of q**5\/20 + 3*q**4\/4 - 4*q**3\/3 - 6*q**2 - 436*q. Does 15 divide a(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 261359 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 396 and 14058.\nAnswer: 28116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -273 + 273 - o**3 - 4*o to the form b + f*o + z*o**2 + l*o**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a + 246. Let j(q) = q + 451. Let d(k) = 6*j(k) - 11*z(k). Let o(i) = 18*i**2 - 1. Determine o(d(b)).\nAnswer: 450*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + 2*p)*((2 - 2 + 1)*(4 - 5 + 4) - 2 - 1 + 5).\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) be the first derivative of -i**2\/2 + 2*i + 2. Let n = 150 + -153. Let y be s(n). Let h(w) = -2*w + 2. Calculate h(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 454 minutes before 12:25 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = n - 3*n + 47, -62 = -4*s - 2*n. Solve 35*w - 100 = s*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 286051 - -50?\nAnswer: 286101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 984 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k**2\/2 + 867*k\/2 - 1314 = 0 for k.\nAnswer: -292, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 + 9\/7*u**4 - 345\/7*u**2 - 249\/7*u**3 - 87\/7*u = 0 for u.\nAnswer: -1, -1\/3, 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**3*x*x**(-1\/3)*x)\/(x\/x**4*x*x**3*x) assuming x is positive.\nAnswer: x**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -16e0e0 (base 15) to base 7\nAnswer: -12303600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -9  (b) 1.2  (c) -0.5  (d) 1\/592\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -5584, -22297, -50160, -89179, -139360, -200709, -273232, -356935?\n\"Answer: -l**3 - 5569*l**2 + l - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the first derivative of 19*b**8\/1680 + b**6\/60 - 8*b**3 + 3. Let w(l) be the third derivative of o(l). What is the third derivative of w(g) wrt g?\nAnswer: 456*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2574 or 1872360\/727?\nAnswer: 2574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*q + 12, 3*h - 5*q - 1 = 23. Solve k + 8 = p - k, 2*p = -h*k + 2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4*(-8 + (-4)\/((-64)\/56836)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -36 in 2\/7, 0, 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 2 - 1 + (3 + 1 - 2)*(-5 + 1 + 3) - 5 + 5 - 1)*(0*v**3 - 3*v**3 - 4*v**3).\nAnswer: 7*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4324 + 10*d**2 - 4324 - 4*d)*(3*d**2 + d**2 - 3*d**2).\nAnswer: 10*d**4 - 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the first derivative of 17*m**3\/3 + 26*m**2 - 65*m - 186. Is u(-22) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1015\/4 or 1.86?\nAnswer: 1.86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3071*m + 2768*m - 18 + 18.\nAnswer: 5839*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*l + 17 = -8*l + 4*c, 3*l - c = -18 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (1*2\/2)\/(91\/(-91))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-two ninths of a week in minutes?\nAnswer: 24640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0032092023 to six dps.\nAnswer: 0.003209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 213 + -77. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-1)\/v)**(-2\/11))**(-2\/7)*((v\/v**1)\/v)**21*(v*v**5*v)\/v*(v\/(v*v\/((v\/(v\/v**(-6)))\/v)*v*v))\/v assuming v is positive.\nAnswer: v**(-2010\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -u**3 + 15*u**2 + 964*u. Let f be c(-30). Calculate the highest common divisor of f and 180.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the first derivative of 2\/9*f**3 + 0*f - 1\/18*f**4 - 2\/9*f**2 + 5. Factor k(x).\nAnswer: -2*x*(x - 2)*(x - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -5  (b) -1\/9  (c) 16  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 4  (b) 4\/3  (c) -10  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2852 + 9*n - 9*n - 29787*n**2 + 29784*n**2 + 2857.\nAnswer: -3*n**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 10) to base 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the first derivative of x**2\/2 - 7*x - 3. Let t be s(9). Suppose t*y + 5*r - 22 = 0, 4*y - 5*r + 26 = 100. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + -14 - (10 + -8 + -7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = j**3 - 4*j**2 - 10*j - 10. Let g be f(6). Solve 2 = -w - o, g*w + 5*o - 16 = 8*o for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -2*a**2 - 3*a + 151. Let k be w(13). Let n(t) = -t**2 - t + 6. Let j be n(-3). Sort k, j, 5 in decreasing order.\nAnswer: 5, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h**2 + h + 4. Let n be k(-4). Let x = 79 - n. Let p = x + -43. Is 20 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 4*p**2 + 2*p + 2. Let t(f) = -704*f**2 - 8*f - 6. Determine -3*o(u) - t(u).\nAnswer: 692*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h + 0*h = -5*n, 0 = -3*n + 2*h - 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbtabbtstssbsbstsbbs. Give prob of picking 1 s, 1 t, and 2 b.\nAnswer: 784\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:03 AM and 3:51 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -10\/9, 0.2, 2\/7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 48705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:46 AM and 9:21 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 880 + -883. Let x(p) be the third derivative of -p**5\/60 + p**4\/12 + 3*p**3\/2 - 12*p**2. Let w(q) be the first derivative of x(q). Give w(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve m - 24*n + 3 = -21*n, -5*n = -3*m - 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*a - 4 + 4)*(407*a - 407*a - 54*a**2) in the form p + n*a**2 + t*a + g*a**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 159*c = 185*c - 8502. What is the remainder when c is divided by 54?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -149, -0.23, 4, 3, -0.3, -4 in descending order.\nAnswer: 4, 3, -0.23, -0.3, -4, -149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/(w**(-3\/20)*w))\/(w**(-11\/5)\/w)*(w**(-3\/13))**27)**(-42) assuming w is positive.\nAnswer: w**(15729\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dtdz when four letters picked without replacement from {z: 5, t: 5, d: 6, c: 4}.\nAnswer: 25\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z - 6 = 4*l, -l + 4 = z + 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(-9)*p**(-15)*p*p**1\/p*p*(p**5*p)\/p assuming p is positive.\nAnswer: p**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 2, 46, -1 in decreasing order.\nAnswer: 46, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*3*-1*(-4 + 1 + sqrt(448))*1)**2*-4.\nAnswer: -263232 + 27648*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -5, -481\/4, -3, -9\/290, -2\/19, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 58 = 425. List the prime factors of m.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -2363 and -2382 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2637143 (base 12) to base 6.\nAnswer: 425332523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 20978524 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c + 30 = 3*n, -22*c - 6 = -19*c - 0 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 3, 7.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 14, 21, 28, 35?\n\"Answer: 7*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*h**3 - 2*h**2 - 3*h**3 + h**2 - 3*h**3 in the form i + v*h**3 + d*h + y*h**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 65 + -31 + 17 + 56 + -1.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k**5\/2 - 3916*k**4\/5 + 1522498*k**3\/5 + 8623992*k**2\/5 + 9884736*k\/5 = 0. Calculate k.\nAnswer: -4, -8\/5, 0, 786","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c**2\/5 + 856*c\/5 + 91592\/5 = 0. What is c?\nAnswer: -214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3*(-29)\/(-6) - -1. Let t = m - 15. Factor 0 - 1\/2*l**2 + 1\/2*l**3 - t*l + 1\/2*l**4.\nAnswer: l*(l - 1)*(l + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 527*a - 571*a + 716 = 2344 for a.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 2*f**2 - 5*f. Let d(c) be the second derivative of c**4\/12 + c**3\/6 - 1791*c - 1. What is 3*d(m) + v(m)?\nAnswer: 5*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3 - 3)\/((-4)\/(-5))*2. Let g = x + 74\/5. What is the nearest to 1 in -5\/4, g, 6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -90, -87, -82, -75?\n\"Answer: m**2 - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 0.12, -2722\/63 in descending order.\nAnswer: 2, 0.12, -2722\/63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 6*q - 70 = 0. What is the remainder when 41 is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -27 - -41. Let c = w + -4. Let v = c - 15. Which is smaller: 2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 184*n + 1846 = 155 - 1805 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 2, r: 2, k: 1, p: 1, h: 4}. Give prob of sequence phr.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the first derivative of -2*q**3\/3 - 5*q + 93. Let k(i) = 3*i**2. Determine k(o(r)).\nAnswer: 12*r**4 + 60*r**2 + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5 - -78?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -4*q**2. Let m(x) be the first derivative of 0*x - 1\/3*x**3 + 0*x**2 + 1. What is r(m(j))?\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 0.5, 2, -14 in decreasing order.\nAnswer: 2, 1, 0.5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.4 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -7*z**2 + 91*z - 835. Determine u(5).\nAnswer: -555","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1144 from 0.159.\nAnswer: 1144.159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 0*t = -k - 119, -5*k = -t + 73. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -5, 31, 138, 21, 1?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-15*(-34)\/765)\/(1570\/225 - 7)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 733 and 889129?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3160 and 1796384.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7614 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 20657 divided by 746\nAnswer: 20657\/746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-15)\/12)\/(10\/(-4)). Let m be (124\/36 - 3)*27\/6. Which is greater: t or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 418 - 418. Solve q*w = 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:49 PM and 4:28 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -49*j**2\/4 + 15813*j - 5103081.\nAnswer: -(7*j - 4518)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*y**5 - 6*y**5 - 4*y**5 + (-2 + 3 + 0)*(y - 6*y - 13*y)*(0*y**3 - 6*y**4 + 0*y**3).\nAnswer: 103*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 642 less than or equal to -225828?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 441 + -330. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*z + 49 = 20*z. Solve 4*c - k + 7 = 4*k, 2*c = -k + z for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -126*y - 648 = -234*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -37  (b) 3  (c) -0.3  (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 147*o**4 - 924*o**3 + 2082*o**2 - 1980*o + 675.\nAnswer: 3*(o - 1)**2*(7*o - 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {v: 10, z: 4}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 93 - 58. Let g = 40 - b. Let j = g - 4.99991. Round j to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*h - 146560 = -26*h - 4*s, -146567 = -4*h + 3*s. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 244 minutes before 3:22 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -54.5 + -254122\nAnswer: -254176.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the third derivative of -f**4\/24 + f**3\/6 + 4*f**2. Let w(c) = 136 + 137 + 226 - c - 498. Calculate 5*g(p) - 3*w(p).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 + (3 - (-5 - 7)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.31 - 0.01. Let j = 0 - d. Let s(o) = o**2 - 7*o - 4. Let t be s(8). Which is the biggest value?  (a) 2\/3  (b) j  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*x - x - 2589*m + 2583*m - 342 = 0, 165 = 5*x + 5*m for x.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4129470?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/((-1)\/5*57\/19).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 479 by -190337.\nAnswer: -479\/190337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -12*d + 13*d - 34*d as q*d + s and give q.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3866897 + -5942579.\nAnswer: -5942578.6133103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 184, 234, 282, 328, 372?\nAnswer: 414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -239*g - 595. Let h be s(-3). Solve h = -36*v - 130 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -302200 - 33?\nAnswer: -302233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10943.\nAnswer: 31, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 (base 16) in base 10?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -100*p**3 + 3*p + 3. Let r be z(-1). Let c = r + -98. Solve -8*y**3 + 0 - 4\/3*y - 10\/3*y**4 - 6*y**c = 0 for y.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d = -5*u + 19, 2*d + 0*u - 6 = -u for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -36*d**2 - 1696*d - 188.\nAnswer: -4*(d + 47)*(9*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 3, r: 4, i: 7}. What is prob of sequence ii?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -6*r + 45. Calculate c(9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1 + 2. Let w = -0.64546 - 2.35484. Let s = u + w. What is s rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -2*n**2 - 32*n - 19. Calculate the least common multiple of i(-15) and 414.\nAnswer: 4554","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eeu when three letters picked without replacement from edeeu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 <= 0.254?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -2072, -2046, -1982, -1862, -1668, -1382, -986?\n\"Answer: 3*w**3 + w**2 + 2*w - 2078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the second derivative of -37*u**6\/30 + u**4\/2 + u**3\/6 + 18*u + 1. Find the third derivative of i(c) wrt c.\nAnswer: -888*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.075 times 763\nAnswer: 57.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-78)\/(-3) + -1 + 0. What is the highest common divisor of b and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 60222270 and 87?\nAnswer: 60222270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 108.96588*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t - 2*t + t)*(-3*t - t + 2*t) + 16 - 16 - 11*t**2 - 6*t - 750*t**2 - 161*t**2 + 6*t + 165*t**2.\nAnswer: -753*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -4446, -8931, -13452, -18027, -22674?\n\"Answer: -3*t**3 - 4464*t + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-3)*96\/(-16).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*o - 91 + 77 = 0. Let n be 2\/4 + (-42)\/12. Calculate the lowest common multiple of (n + 3 + -44)\/(-1) and o.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 12\/(-9)*108\/(-16). Suppose 0 = -c*g + 20*g - 154. Solve 0 = -2*b - 2*o + 12, 0 = -3*b + 3*o - 2 + g for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 54526, 0.3, -0.4, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -314773666\/29 + 10852226. Let c = z + 2037. What is the common denominator of 22\/5 and c?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 169.97?  (a) -17950  (b) 2  (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 149 - 256.4. Let u = -107 - i. What is the biggest value in u, 4, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 2693*c + 1210. What are the prime factors of a(6)?\nAnswer: 2, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 1, u: 6, p: 8}. Give prob of sequence ppp.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.1, -23, -4, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -42.34 to 0 decimal places.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = j**3 + 5*j**2 - 6*j + 4. Suppose 0 = -3*r + 4*h + 9 + 2, -r - 3*h = -21. Let x = -15 + r. What is the smallest common multiple of 1 and i(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k**3 - 3*k**2 + k - 1. Let o(x) = -43*x**3 + 9*x**2 - 2*x + 5. Give -3*l(b) - o(b).\nAnswer: 40*b**3 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8926419, -17852839, -26779259, -35705679?\nAnswer: -44632099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 844, 841, 836, 829?\n\"Answer: -r**2 + 845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 33a (base 13) to base 9\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 410*k - 178369 = 149666 + 90575. What is the remainder when k is divided by 199?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 156 and 75180?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 37366, 37368, 37370, 37372, 37374?\n\"Answer: 2*x + 37364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -h - 4*h + 4*h + (-3 - 1 + 5)*(2*h - h - 2*h) - 3*h - h + 2*h - h + 0*h + 3*h + 4 - 4 + 4*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -2*m**4 - 100*m**3 - 436*m**2 - 719*m - 360. Let o(c) = 3*c**4 + 195*c**3 + 874*c**2 + 1437*c + 720. Let y(l) = -3*o(l) - 5*s(l). Factor y(t).\nAnswer: (t - 90)*(t + 1)*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 167412896 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1388 at least as big as 1388?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 4*y + 327 = 0, 5*o - 2*y = y - 516. Let x be (-4)\/(-3)*o\/14. What are the prime factors of ((-324)\/x)\/((-8)\/(400\/(-15)))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-60)\/(-33) - 2 - (-84)\/220. Which is the nearest to 3?  (a) -1\/5  (b) q  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 167 + 1430 = 108*w + 301 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 3\/1384?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-5\/4))**0*a**(8\/7)\/(a\/(a\/a**(-17))))**(-17) assuming a is positive.\nAnswer: a**(-2159\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c**2 - 17*c + 5. Let t(v) = -v**2 + 23*v - 6. Let s(a) = 3*t(a) + 4*w(a). Let f = -6 + 3. Give s(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 68 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7422 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 7 in -19, 1, 5125\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23062?\nAnswer: 2, 13, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h**2\/13 + 674*h\/13 + 1356\/13 = 0.\nAnswer: -2, 339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*q**3\/11 - 32*q**2\/11 + 58*q\/11 + 408\/11.\nAnswer: -2*(q - 4)*(q + 3)*(q + 17)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) be the third derivative of 1\/15*z**5 + 0*z**3 + 0 - 1\/24*z**4 - 4*z**2 - 1\/120*z**7 + 0*z - 1\/96*z**6. Factor t(w).\nAnswer: -w*(w - 1)*(w + 2)*(7*w - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -33 - -48. Let d be ((-2)\/2)\/(338\/(-56) - -6). Calculate the least common multiple of 20\/28 + 8\/d and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 divided by 7219603\nAnswer: -6\/7219603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 888 a factor of 27046704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/(18\/(-4)) - 0. Let t = -0.2 + 0.1. Which is the closest to t?  (a) -2\/7  (b) q  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 2, 5, -88?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -611, -407, -203, 1, 205?\n\"Answer: 204*b - 815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 19, 49, 103, 187, 307?\n\"Answer: d**3 + 6*d**2 + 5*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 10*q**2 - 3*q. Is w(1) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h**4\/7 + 319166*h**3 - 178273839583*h**2 + 7487079011160*h - 78612851746800 = 0. Calculate h.\nAnswer: 21, 1117060","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8723 = -26*a + 10959. Let p = -705 + a. What is the remainder when p is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1691 divide 1323856844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 223743 >= 1566193\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -97*r**3 + r**2 + r + 1. Calculate the remainder when n(-1) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 131.77 - -3.23. Let c = -133 + i. Which is bigger: -10 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 29 - 25. Suppose f*z - 2*o - 6 = 26, -o = -z + 7. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 7, p: 2, i: 7}. What is prob of sequence eiip?\nAnswer: 7\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -241, -478, -719, -964, -1213, -1466?\nAnswer: -1723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 4 = 7*t. Let m be 3 - t*(-3)\/(-6). Solve 3*b - 15 = -m*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-1*((4*sqrt(272) + sqrt(272))*-5 + sqrt(272))*1)**2.\nAnswer: 313344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6 and 474.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 37 + -39 + (6 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = -i - 3*i + 86, -46 = -y + i. Suppose -5*r = 4*r + y. Which is the smallest value?  (a) 0  (b) -1  (c) -4  (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/9, -25, -12 in ascending order.\nAnswer: -25, -12, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 18 divided by -32751875\nAnswer: -18\/32751875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 65\/3 of a century in months?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -27317, -27892, -28467, -29042?\n\"Answer: -575*x - 26742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*y - 2*y + y**2 + (-3*y + 3 - 3)*(8*y - 69 + 69))*(0*y + 4*y - 2*y).\nAnswer: -46*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.06229 + 0.\nAnswer: 1.06229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = h**3 + 2*h**2 - h + 4. Let p be r(0). Let x = -1 + p. Suppose -f + 5 = 1, -x*q - 4*f = -229. 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 the product of -688 and 0.01?\nAnswer: -6.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 51732 = 932*p + 34024 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 13212 and 308871.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 72096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 873 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -60, 0, -25, -0.5, 847?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/w**(-4))**(-17\/6) assuming w is positive.\nAnswer: w**(-85\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1014 = 132*i + 90 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 10544163 by 71729.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.5, 4\/21317, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor y**2 - 8448*y - 6001513.\nAnswer: (y - 9107)*(y + 659)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -673664 (base 10) in base 11?\nAnswer: -420152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 3, a: 1, u: 4, l: 1, o: 5}. What is prob of sequence ou?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.002414486 rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**3 - 4*w**2 + 2*w + 4. Let q be s(-5). Suppose -q*u + 892 = -15*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -16159632 by -3.\nAnswer: 5386544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 79 - 66. Suppose -p*l = -17*l + 360. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - 10 = -4*n + 2, 24 = -5*t - 2*n. Let m(v) = -v**2 + 6*v - 6. Let s be m(6). Let k = s + 2. Is t not equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t = 3*z + 145, 22*t - 1037 = -z + 18*t - 133*t + 4033 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 3*b**2 - 5*b + 2. Let n be m(3). Suppose -8 - 22 = -2*d. Let s be (28\/6)\/(5\/d). Calculate the greatest common factor of s and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3411096994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 78 and 96694?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j**(-1)\/j))\/j**(-3\/7))\/(j**(2\/7)*j**(4\/7))*(j\/(j\/(j**(-3)*j)*j)*j*j**(1\/3)*j)\/((((j\/j**(1\/4))\/j)\/j)\/(j*j**(-7)\/j)) assuming j is positive.\nAnswer: j**(-323\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 109 times 11?\nAnswer: 1199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 263132 * 3\nAnswer: 789396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a millennium in months?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 47 + 66?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -40*h - 2*h**2 - h**2 + 32*h + (-2*h**2 - 1 + 1)*(2 + 3 - 3) + 2 + h**2 - 2.\nAnswer: -6*h**2 - 8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x**2\/5 + 2417*x\/5 - 181302 = 0. Calculate x.\nAnswer: -2747, 330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 217007.\nAnswer: 7, 29, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r**(2\/7)\/r))**(-7\/8)\/(r**(-5)\/(r*r**(-1\/6)*r))*r\/r**(-5\/4)*r**(-2\/17)\/r*r**(-1\/5)*r*r*r*r\/((r**2*r)\/r) assuming r is positive.\nAnswer: r**(8431\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in fourty-five quarters of a gram?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 127 minutes before 12:44 AM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3438*g**4 - 7741*g?\nAnswer: -41256*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - (-8 + 8 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 35*f**2 + 18*f - 19. Suppose -6*z + 4 = -8*z, -4*t + 4*z = -12. Let y be v(t). Let g = -2 - -35. Which is smaller: y or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 times 2.0565?\nAnswer: 41.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -32*d + 7. Let s(q) = 1154*q - 3. Determine s(w(f)).\nAnswer: -36928*f + 8075","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 82299 divided by 21?\nAnswer: 3919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 2*i**3 + i**2 - 1. Let h be r(-1). Let g = 0 - h. Suppose 0 = -g*s - s + 42. Solve -s = -5*o + 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:29 AM and 10:19 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -28*y - 25. Calculate n(0).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 3*b + 5. Let d(w) = -221*w. What is g(d(s))?\nAnswer: -663*s + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14 + -17 + -1 + 0 + 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7212.\nAnswer: 2, 3, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - (-13 + 13 + -6 + 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 59.60067 milligrams in nanograms?\nAnswer: 59600670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 0 - (-70)\/((-3)\/(-3)). Suppose a = 6*b - b. Suppose -b = -4*y + 6. Calculate the remainder when 13 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -12*t. Let a(i) = -1. Let h(x) = -2*x - 4. Let p(b) = 4*a(b) - h(b). Determine d(p(r)).\nAnswer: -24*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**2 - 3422024*p - 10266090.\nAnswer: 2*(p - 1711015)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -70*u - 345. Let w be b(-5). Solve 3*n + 4*q + 0 = w, -2*n - 3*q = -3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = -7 + 27. What is the least common multiple of 18\/(-5)*40\/(-24) and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 64 + -59. What is the nearest to 10 in 2, 0, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 38 + -105. Let j = -67 - y. Suppose 60 = 12*f - j. Let c(k) = k + 2. Let d(n) = 2*n + 3. Calculate f*d(v) - 7*c(v).\nAnswer: 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -34750*n - 2 + 47*n**2 + 69497*n + 124*n**2 - 34750*n to the form d*n + y + t*n**2 and give t.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 21404033 - 21403704.00333. Let c = -329 + v. What is c rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -2*v**2 - 5*v. Let g(l) = -3*l**2 - 8*l. Let j(q) = 8*b(q) - 5*g(q). Let k(w) = -3*w - 2*w + 3*w. Determine k(j(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) be the third derivative of 263*m**6\/120 + 5*m**4\/24 - 1937*m**3\/6 + 1266*m**2. Differentiate w(n) with respect to n.\nAnswer: 789*n**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5*(-3)\/(-4) + (-30 - (20 + -53))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3678304?\nAnswer: 2, 7, 16421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16 - 7*z + z - 5*z.\nAnswer: -11*z + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 10*l - 50. Let r be y(6). Let w(o) = -o. Let n be w(4). Let a = n + r. What is the remainder when 21 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (2\/(-8))\/((-1)\/12) + 6184 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 + 3. Let k = -198.79 + 200. Let s = k + -1.61. Which is the nearest to -0.15?  (a) o  (b) -0.3  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 144434.\nAnswer: 2, 257, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nrnnrornnnor.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 345 a factor of 4137930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -296*i = -248*i - 144 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that -r**2\/7 - 2958*r\/7 - 2187441\/7 = 0.\nAnswer: -1479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 39\/35 and 46\/1561.\nAnswer: 7805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 3 = -h, 2*u - 3 = -1. Solve 4*s = 2 + h for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 30 + -31. Let z be (5 + -2)\/(h\/3). What is z rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -121*r + 69*r - 58*r**3 + 41*r - 147*r**3.\nAnswer: -205*r**3 - 11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 11.877289996 to two decimal places.\nAnswer: 11.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.03 smaller than 1068190?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38 - 130 + 249 - 40 - 41 - 15*n.\nAnswer: -15*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 23, -7, -49, -97, -145, -187, -217, -229?\n\"Answer: g**3 - 12*g**2 - g + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 25 + 536?\nAnswer: 55b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 266*f + 46172 + 13478 = -300*f - 10534 for f.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -20 + 65*w**3 + 284 + 157*w**3 - 64*w**3 wrt w.\nAnswer: 474*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00001503232 to 6 dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 662830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1040*p - 18299 = 2822*p + 117133 for p.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-3)*d**18\/d)\/(d*d**(8\/5))**(-19) assuming d is positive.\nAnswer: d**(317\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that 3*n**4 - 86754*n**3\/7 + 705393*n**2\/7 - 1484328*n\/7 + 28272 = 0.\nAnswer: 1\/7, 4, 4123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -6*w + 12. Let u(a) = -12 + 10*a - 7 - 5 + 3*a. Let s(t) = 5*o(t) + 2*u(t). Find the first derivative of s(x) wrt x.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 42*m**2 + 926*m + 4961. Give p(-13).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1985265 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 13*n + 5*n + 2*n + (0 - 3 + 2)*(0 + 2*n + 0) - n + 3*n - n + 2*n + 2 - 2 - 3*n + 1 - 2*n + 4*n.\nAnswer: 20*n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 894, 5, -104 in decreasing order.\nAnswer: 894, 5, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -5 - -30 - ((-3 - -10) + (-1 - 1))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -31.77  (b) -2\/3  (c) -15\/1751\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 227*r + 226*r - 6*r**2 - 452*r - 7*r**2 + 9*r**2.\nAnswer: -4*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 4*j = -3*z + 39, 0 = -z - 3*j - 34. Let s = z - -30. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-6)\/4 + (-57)\/(-2). Let m be (-2)\/3*s\/(-6). Let w(q) = 3*q**m - 3 + 7*q - 2*q**3 - 1 - 5*q**2 - q. Calculate w(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2009 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 5 - 4)*(-4*w + 3*w + 3*w) - 2*w + 2*w + w + (-2*w + 4*w - 3*w)*(4 - 2 - 4).\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4260173?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 660d7 - -783?\nAnswer: 6687a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1130.1156 months to millennia.\nAnswer: 0.0941763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve v = -2*p - 14, 719*v + 4*p = 719*v - 16 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 25632.53 centimeters?\nAnswer: 256.3253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 0*r = 1. Let y = r - -4. Suppose y*j - 6 = j + 2*l, -3*j = -l - 9. Is 4 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 126 and 168?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*r**4 - 14*r**3 + 43 with respect to r.\nAnswer: 8*r**3 - 42*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-28)\/(-6) - (-10)\/(-15). Let z = 11 - 8. Suppose -2*m = 2, -z*n - 140 = -7*n - 4*m. What is the highest common divisor of l and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 732901?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 223687 to the nearest integer?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 less than 34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d and 1 x when three letters picked without replacement from dxdx.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -143*i - 35 = -148*i. Suppose 3 = i*x - 4. Let n be (-14 + 10)\/((-2 - 24)\/x). What is the closest to 0 in -5\/4, n, 5\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 199464.\nAnswer: 2, 3, 8311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 778\/33 + -65\/3. Let u be (15416\/(-20) - 3) + -2. Let y = 765 + u. Calculate the common denominator of y and k.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z**3 + 6*z**2 + 6*z + 4. Let m be u(-5). Let s be (1 - (-1 - 0))\/10. Let j = -74\/3 - -25. What is the third biggest value in s, j, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + 4 - (10 - (7 + 9 + 3)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Do -40 and -23266\/603 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 49163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*y + 8*y = -5*y. Let o(s) be the third derivative of -1\/480*s**5 + y*s - 1\/192*s**4 - 2*s**2 + 0*s**3 + 0 + 1\/1680*s**7 + 1\/960*s**6. Factor o(f).\nAnswer: f*(f - 1)*(f + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 818 = -15*g + 16*g. Let h = g - 552. What are the prime factors of h?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 61274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*o - 5 = 3*q, -5 = -15*o + 20*o - 5*q for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3.09 - -0.09. Sort 3\/2, i, -0.2, -0.5 in ascending order.\nAnswer: i, -0.5, -0.2, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + (6 - (0 + 3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -64 + 63 + 2*p**2 + p - p**2. Let g(a) = -26*a**2 - 53*a + 4. Let u(l) = -g(l) - 4*i(l). Find the second derivative of u(r) wrt r.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 3*r**2 - 2*r + 2. Let i be g(2). Let k = i + -47. Let h = k + 77. Calculate the greatest common divisor of 40 and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 91, 98, 105, 112, 119, 126?\n\"Answer: 7*w + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) be the first derivative of x**6\/360 - x**5\/40 + x**4\/4 - 2*x**3\/3 + 2. Let k(b) be the third derivative of u(b). Is 8 a factor of k(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(228) + 1*sqrt(228))*3)\/((sqrt(144) - sqrt(144)*-2)\/sqrt(12)).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -10b + 4?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1012013244 (base 6) to base 15.\nAnswer: -db72ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1730229 is divided by 195?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 3 z when four letters picked without replacement from dzddzdzzzzkdnz?\nAnswer: 25\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 4 + 1 + 2*j**2 - 4. Let o be u(1). What is the units digit of o\/5*(15 - 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 146097.\nAnswer: 3, 7, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d**(8\/5))\/(d\/((d\/d**(-6\/5))\/d*d)))\/(d*d\/(d\/(d**7\/d))*d)**13 assuming d is positive.\nAnswer: d**(-501\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -31214 + -12101211?\nAnswer: -12132430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -62*f = -4153 - 9177. Which is bigger: 214 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -1475, -2149, -3237, -4739, -6655, -8985, -11729?\n\"Answer: -207*o**2 - 53*o - 1215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -12565 divided by 5?\nAnswer: -2513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 252908.\nAnswer: 2, 23, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5.132 - 0.132. What is the smallest value in c, -1, -0.1, 1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -765, 1, 552 in descending order.\nAnswer: 552, 1, -5, -765","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1253)\/537)\/(1 - (10\/6 - 1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 0 times -0.185\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 11 = -s, 2*s - 5 = -2*p - 1. Find the third derivative of 2*m**6 - 3*m**4 - 4*m**2 + p*m**4 wrt m.\nAnswer: 240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(2\/85)*o\/(o**(-4\/15)\/o*o))\/(o**(-11\/2)*o*o*o**6) assuming o is positive.\nAnswer: o**(-617\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -14.7 and -0.3.\nAnswer: 4.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-45)\/(-108)*12\/20.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 111*t**3 + 3*t**2 + 15*t. Let n(f) = -112*f**3 - 4*f**2 - 17*f. Calculate -3*n(d) - 4*u(d).\nAnswer: -108*d**3 - 9*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1, -4, 1, 20, 59, 124?\nAnswer: 221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -975*-0.1.\nAnswer: 97.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.3 and 34883?\nAnswer: 34882.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:24 PM and 9:43 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -r**2 - 1. Let i be (6 + -16)*(-8)\/10. Let g = i + -6. Give m(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -b**3 + 0*b**2 + 40*b - 44*b + 0*b**2 + 1 to the form m*b**3 + p*b**2 + l + o*b and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2312*h**2 + 0*h + 0 + 32*h**4 - 1\/2*h**5 - 442*h**3.\nAnswer: -h**2*(h - 34)**2*(h + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 6*a**2 - 4*a. Let x(n) = -5*n**2 + 3*n. Suppose -2*p - p = -12. Suppose 1 = -5*r + 16. What is p*x(u) + r*z(u)?\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 56611381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - (2 - (3 + 1 - 1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 330 + -46148?\nAnswer: -45718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -3 + 1 + 0*p + p. Let a(w) = 2*w - 4. Let b be 0\/(1 + 0 + 0). Suppose b = -r + 5*r + 8. Determine r*a(s) + 5*z(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v = -5*g + 21, -263*g + 260*g - 5*v = -35 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 166 - 163. Let n be 14\/35 - 18\/20. Let x = -0.024 - 4.976. Which is the second smallest value?  (a) n  (b) m  (c) -2.3  (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**4 - 1003*z**3 - 99015*z**2 + 85857075*z.\nAnswer: -z*(z - 227)*(z + 615)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 11061174 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -3*y + 51. Determine l(16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -2*h - 7. Let i(r) = 5*r**2 - r - 1. Let j(l) = -11*l**2 + 2*l + 1. Let q(o) = 13*i(o) + 6*j(o). Let y be q(0). Is c(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1116 - 1115.2. Which is the closest to 4\/5?  (a) 5\/2  (b) -0.4  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3297, 3302, 3309, 3318?\nAnswer: 3329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 - 3*p - 9*p + 3 - p.\nAnswer: -13*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4645, -33106, -110405, -260962, -509197, -879530?\nAnswer: -1396381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*n + 6*n - 437 - 109 = 0 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -24448 divided by 8?\nAnswer: -3056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5.6 - 5. Let k = z + -0.8. Is 0 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f and 1 m when three letters picked without replacement from {m: 7, f: 3}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 337 divide 902934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sum 697 and -5911174503.3.\nAnswer: -5911173806.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 698, 777, 920, 1127, 1398, 1733?\n\"Answer: 32*w**2 - 17*w + 683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = 6*d - 13*d. Suppose -5*l = i - 171, 4*l = -d*i - i + 513. What are the prime factors of i?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*o - 3*o - 2*o**4 + (-o**2 - 16*o**2 + 2*o**2)*(2737 - 3*o - 2737 + 2*o**2).\nAnswer: -32*o**4 + 45*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + t - 1)*(7*t - 5 + 5 + (0 - 4 + 2)*(-5*t + 3*t + 3*t) + 2 - 2 + t - 5 + 2*t - t + 1).\nAnswer: 7*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.07  (b) 0.3  (c) 1\/930465\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -6*b*l*p**2 - 2*b*p**2*u - 48*b - 3248*l*p*u - 14*l - 2*p**2 with respect to u.\nAnswer: -2*b*p**2 - 3248*l*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 21744318?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.9605344 greater than 50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 5\/3  (b) -5.2  (c) -5  (d) -4  (e) -3  (f) -0.223\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 107  (b) 4\/5  (c) -982.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is h in h**5 + 54*h**4 + 652*h**3 + 2670*h**2 + 2083*h - 5460 = 0?\nAnswer: -39, -7, -5, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) be the first derivative of 7*n**4\/4 - n**2 - 2*n - 9. Let g(v) = -1 - 5*v + 5*v**3 - v**3 + 0*v**3 + 4*v. Determine -10*g(j) + 6*q(j).\nAnswer: 2*j**3 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-22)\/(-2860))\/(56\/(-1092))?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5.768 + 6.6174. Round d to two dps.\nAnswer: 0.85","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/8 + ((-46575)\/92)\/(-15). Solve -n = -5*d - 9 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -1\/4, -0.3, 7144, -7, -0.4, -12, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t + 84 - 96 = 0 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -17b2a33 + -87?\nAnswer: -17b2aba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -1\/2  (b) 3\/10  (c) -2\/5  (d) 11\/225  (e) -0.59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 p when two letters picked without replacement from {m: 3, p: 1, j: 3, e: 4}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -826 - -826.2. What is the third biggest value in 0.036, -3, k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 261619808?\nAnswer: 2, 8175619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10958, 21930, 32888, 43820, 54714?\nAnswer: 65558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -8 - 1b96?\nAnswer: -1b9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1537, 2\/149, -1.6, 0.23.\nAnswer: -1537, -1.6, 2\/149, 0.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 22981088, 22981119, 22981150, 22981181?\nAnswer: 22981212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*t + h + 32, 3*t = -1714*h + 1710*h + 10 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 493524 divided by -6.\nAnswer: -82254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (34 - 13) + (31 - (-2 - 11))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5263251 is divided by 802.\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 111 - 4*q**2 - 111. Let u(j) = -5*j**2. Determine u(z(s)).\nAnswer: -80*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 246830029\/1226180 - -1\/245236. Let b = n + -213. Find the common denominator of 81\/10 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.28 * 0.02\nAnswer: -0.0056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-5\/2)\/x*x)\/x)\/x*x\/x**(-8\/3)*x**8*x*(x\/((x\/x**(-16))\/x)*x*x)\/x assuming x is positive.\nAnswer: x**(-35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 172270 and 280.\nAnswer: 689080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (30\/168)\/((-225)\/36*16\/160)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -948, -802, -656?\n\"Answer: 146*v - 1094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 1 + 4 + 19 + -17\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide -1 - 359954\/(-112) - 2\/(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 + (-24)\/(-15))*(-25 + 67 + -37).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3519355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -277179, -555222, -833265, -1111308, -1389351, -1667394?\nAnswer: -1945437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 0*i = -5*b + 2, 4*b + 60 = -2*i. Let p = i + 10. Let h = 18 + p. Solve 4*d + 8 = 4*u, h = 5*u - 4*d - 7 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 54778*a**2*l**2 + 664*a**2*l + 5116548*a**2 - 7*a - 2 wrt l?\nAnswer: 109556*a**2*l + 664*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that -3*g**2 - 42*g + 45 = 0.\nAnswer: -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 42 + -39. Suppose 7 + 11 = f*u. Suppose -u*p - 265 = -11*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 99\/1504 and 43\/864.\nAnswer: 40608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3 + 4205?\nAnswer: 4202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = -5*m - 21, -d + 2*m = 6*m. Suppose -4*t = 5*s - 118, 0*t = -4*s - d*t + 96. What is the remainder when 72 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 827230 and 130?\nAnswer: 10753990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 82652 divided by -6\nAnswer: -41326\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6 and 51.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 171 - 169. Which is the closest to q?  (a) -4  (b) 5  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 2, d: 9, r: 3, g: 2}. What is prob of sequence brb?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 497.1943 decades to millennia.\nAnswer: 4.971943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 33330678, 33330680, 33330682, 33330684, 33330686, 33330688?\n\"Answer: 2*u + 33330676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7317.\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (s + 3 - 3)*(0 + 1 - 3) + (-46742 + 21098 + 22667)*(2*s - 4*s + s) in the form v + g*s and give g.\nAnswer: 2975","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 193*s**3 + 2*s**2 + 2*s + 2. Let u(d) = 2*d**3 - d**2 - 1. Give p(c) + 2*u(c).\nAnswer: 197*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -145814*a*x + 10*a - 10140*x wrt a?\nAnswer: -145814*x + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h**2\/4 - 725*h\/4 - 18117\/2 = 0. What is h?\nAnswer: -671, -54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 0 - 30042.1\nAnswer: -30042.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2431 and 676.\nAnswer: 126412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11\/(1100\/8) + 183\/525.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) be the first derivative of -7*p - 5*p**2 - 2*p + 0*p**2 + p - 28. What is the derivative of m(j) wrt j?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 0*u = 4*y - 43, 2*u + 34 = 4*y. Which is the second smallest value?  (a) 0  (b) y  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-30)\/(-35) - (-1776)\/(-14). Let p be 6\/14 + (-2466)\/x. Solve -6*l + l = -2*z - 25, -z + 4*l = p for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 144187 is divided by 863?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 84\/189*9\/(-2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the first derivative of 5*q**4\/4 - 239*q**3\/9 + 569*q**2\/6 + 13*q - 4236. Let x(b) = 0. What is b?\nAnswer: -1\/15, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 10 = u. Suppose 3*p + u*x = 786, p + 4*x = -0*x + 269. Is p 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 1:22 PM and 4:23 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wawa when four letters picked without replacement from wwwaawww.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7.0918 - -0.0918. What is the second biggest value in n, 3, -0.5, -10?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -20 + 53. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 7*x + 4*x = -10, g + 5*x + 5 = 0. Put -2, -4, g, 1 in increasing order.\nAnswer: g, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) 0  (b) 812  (c) -0.2  (d) 0.8165\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -3701*f + 7393*f - 3599*f. Let u(h) = -8*h**2. Calculate u(x(v)).\nAnswer: -69192*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -104.9 take away 627862?\nAnswer: -627966.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g + 9*g - 14 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 7 + 15*o - 16 + 0 + o**2 + 3. What is the smallest common multiple of 9 and h(-16)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45204 is divided by 21982?\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 10 - 643011?\nAnswer: -643001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 - -34 - (2 + -12).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.5447 - 1.5997. Let k = 2.6 + -2.655. Let d = k - u. Which is the closest to 2\/7?  (a) d  (b) -5\/4  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17799.\nAnswer: 3, 17, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 6308 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 2*x + x - 4*x + 0*x. Let l(j) be the second derivative of -5*j**4\/6 - 7*j. Determine l(d(t)).\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-37)\/(-7) - 5 - (-114)\/42. Solve 0 = a*o + 5*o + 8 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 71706 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of ((-3225)\/(-2))\/(54\/72)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*g + 22*g = 10*g + 9 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26613098?\nAnswer: 2, 13306549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -p - 2. Let a(i) be the third derivative of -i**4\/8 - i**3 + 2*i**2. Let o(f) = -3*a(f) + 8*v(f). List the prime factors of o(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 59130873*u**3 + 5207271*u - 4 wrt u?\nAnswer: 354785238*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 27763873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 3*p**2 + 151*p + 1737. What is t(-19)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 632 from -0.0314175.\nAnswer: -632.0314175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.038408 and 0.16.\nAnswer: -0.00614528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5025 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4 + -2. Let p = -803\/26 + 408\/13. Factor -4\/3*r + 1\/6*r**4 + 0*r**3 - p - r**b.\nAnswer: (r - 3)*(r + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 122021012002 (base 3) to base 4\nAnswer: 1102332023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t**2 - 10*t - 8. Let b = -5 - 51. Let d = b + 78. Suppose -2*j = -4 + d. Give u(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-8)*0\/(-5))\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 20\/18*9\/15. Which is the second smallest value?  (a) 2\/5  (b) k  (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3149341.\nAnswer: 13, 242257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 3*b + 2. Let c be (-9)\/(-2) - 2\/(-4). Let h be r(c). What is the highest common divisor of h and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/4)\/(6\/(-36))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 6 = 4*u - 2, 0 = -i + 3*u - 10. Suppose 0 = i*o - 2 - 8. Calculate the smallest common multiple of 12 and 0 + 6*o\/3.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 549 minutes before 2:19 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 11*b + 4 - 6*b**2 + 20*b - 2 - 7*b**2 - 32*b. Determine d(-2).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -93 - -88. What is the nearest to -3 in -4, 8, a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*s - 46 = -16*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 202.4 times -2?\nAnswer: -404.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 30\/43423 and 10\/11?\nAnswer: 477653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1596 is divided by 277?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 - -2 - (3 + -14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence snjj when four letters picked without replacement from sthjtjnthajttstjha?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v + 2*t = 34, 5*v + t + 43 = 8 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 2*c**3 + 16*c**2 - 18*c + 43. What are the prime factors of t(15)?\nAnswer: 53, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*m + 2*u - 4*u + 14, -4*m = 3*u - 9. Calculate the remainder when m is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 150336383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 11*i - 3*i + 24 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = -2*t + 369, 0 = 3*z + 9*t - 7*t - 1091. Calculate the remainder when z is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10 + 22111?\nAnswer: 22101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-36)\/48)\/(2\/(4\/6)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -506e9b (base 15) in base 4?\nAnswer: -32210232011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (8 + 141 + 201)*(-a + 1 + 1 + 0*a) to the form d + f*a and give f.\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*i - 3*i + 40. Let a be (-44)\/(-16) - 2\/i. Suppose 0 = -a*q + 9*q - 30. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3750 and 250.\nAnswer: 3750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 343198 is divided by 956?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5382 is divided by 25.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7814726?\nAnswer: 2, 3907363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -2*w**3 - 2*w**2 + 3. Let f be s(0). Suppose 0 = 3*r - 2*l - 15, 0 = 5*r - 4*l - 0*l - 27. Let p = r + f. Sort p, 5, -1 in descending order.\nAnswer: p, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q**3 - 2*q**2 - 6*q - 3. Let b be u(-4). Suppose -7 = -c + b. What is c rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 920 + 2104. Suppose -14*w - f = -17*w. Is 14 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 2446 and 613.\nAnswer: 3059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 170 + 3*a - 20*a + 17*a + 22*a.\nAnswer: 22*a + 170","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-231)*-6)\/(((-349)\/(-1047))\/((-7)\/(-9)))?\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 757.8 + -678. Let j = 15 - t. Round j to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the third derivative of -g**6\/60 - g**5\/60 - g**4\/24 - g**3\/6 - g**2. Let u = -79 + 117. Suppose u = -4*n + 34. What is h(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = h + 57. Let p(q) = q + 1. Let y(x) = -j(x) - 4*p(x). Let s be y(0). Let n = -55 - s. Calculate the remainder when 9 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = 2*d + 11, -3*d - 2*c - 9 = 8. Suppose 63 = 4*i - p, -2*i + i + 24 = -3*p. Let k be 2*1\/(-5)*i. Which is bigger: d or k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23427011.\nAnswer: 181, 347, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = 5*y + 7 - 21, -5*d = y + 11. Suppose 2*j - 2 = 4*g, -2*j + 16 = -4*j - 5*g. Let m = y - j. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -57 - 5*h**2 + 101 + 3*h**2 - 36. Determine m(-4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -268983 (base 10) to base 7.\nAnswer: -2200131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = t**2 + t + 3. Let w be c(0). Suppose -w*p + 8*p = 0. Is p bigger than -8\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n**5 + 249*n**4 + 1686*n**3 - 1936*n**2 = 0. Calculate n.\nAnswer: -242, -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.4 - 0.4. What is the closest to -1\/5 in y, 2\/5, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2494 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1, -48, -169, -400, -777?\nAnswer: -1336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = -4*h - 8, 3*h + 5*o - 15 = o. Which is the smallest value?  (a) -3  (b) h  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*w + 2*v + 6, 4*w - 3*w + 16 = 4*v. Is (-3055 + w + 7)*1\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 5*m = -5, 5*y - 5*m - 3 = 2. Suppose -5*s - y*j + j + 114988 = 0, -s + 22994 = 2*j. Round s to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2633, -5262, -7891, -10520, -13149?\nAnswer: -15778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3110 * 3.\nAnswer: -9330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that -3*n**3 + 1791*n**2 - 211248*n - 17535540 = 0.\nAnswer: -55, 326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 7\/4 of a millisecond?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -w + 16. Let v be l(11). Let a(z) = -12*z**2 + 2*z - 7*z**2 + v + 5*z + 20*z**2. Determine a(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1743993*y**4 + 1813464*y wrt y.\nAnswer: -20927916*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 665762257 to the nearest integer?\nAnswer: 25802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ynn when three letters picked without replacement from {y: 2, n: 7}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the third derivative of -a**9\/504 - 131*a**8\/42 - 5*a**5\/12 - 5*a**3\/3 + 33*a**2 - 16*a. Find the third derivative of y(t) wrt t.\nAnswer: -120*t**3 - 62880*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 199*r - 15507. Calculate m(78).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 16983*q**5 + 129*q**2 - 77 wrt q.\nAnswer: 1018980*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -615*n + 1 = u + 612*n - 1226*n, 3*u - 2*n - 3 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 39, 153, 369, 693, 1131?\nAnswer: 1689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -4*g + 153. Let y = 42 - g. Suppose -4*j - 70 = -2*p, y*p - 58 = 3*p + j. Solve c + 3*d = -9, 4*c = -c + 3*d + p for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8 (base 12) to base 8.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 60*y**3 - 10*y**2 - 7*y + 27. Let h(r) = -90*r**3 + 16*r**2 + 11*r - 41. Give -5*h(v) - 8*m(v).\nAnswer: -30*v**3 + v - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the second derivative of -t**8\/1008 + 2*t**7\/315 - t**6\/72 + t**5\/90 - 7*t**2 - 7*t. Let a(p) be the first derivative of g(p). Factor a(v).\nAnswer: -v**2*(v - 2)*(v - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (3\/(-2))\/(4\/8). Let f(q) = q**3 + 5*q**2 + 2*q - 4. Let t be f(c). Suppose -36 = -z - t. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -2*v**2 + 1955*v - 149358. Calculate s(894).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(-5)*(-91 + 56)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26 = -6*j + 50 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve s = d, 4*d - 7*d = s + 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 1, t: 4, g: 1, h: 1, r: 1}. What is prob of picking 1 h, 1 t, and 1 n?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41*p - 77*p + 113*h - 3 = -37*p, -9 = -3*p - 32*h for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*n**3 - 4336*n**2 - 8648*n + 34656.\nAnswer: -2*(n - 2)*(n + 4)*(n + 2166)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 741, 726, 711?\nAnswer: 696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -2\/13  (b) 10  (c) -81  (d) 3\/8  (e) 1.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r**0)**(-24)\/(r**2)**36 assuming r is positive.\nAnswer: r**(-96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 + 3 + -2 - (-36 - -41).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 579 a factor of 17127978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.17 + 0.83. Let d = 0.9 - b. Let o be (-3)\/(-22)*(-24)\/18. What is the closest to d in -1\/3, o, -0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 0 + 3 + 1 - 2006*x + 2007*x. Let l(j) = j + 1. Give k(f) - 4*l(f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1672\/114*((-7)\/((-35)\/30))\/((-104)\/(-91))?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -143181, -286334, -429459, -572544, -715577?\nAnswer: -858546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4434 (base 6) to base 4.\nAnswer: 100012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -11855\/18278 - -10\/247. Find the common denominator of -11\/3 and p.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 12257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Add 5 and -2316380118.8.\nAnswer: -2316380113.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -382*b + 17619 - 6796 + 17938 - 1639 = 0 for b.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13461 = -3*v + 5*b, -2*v + 4316 = -4*b - 4658. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = b**2 - 8*b + 4. Let s be g(8). Suppose 7*k - s*j = 2*k + 380, k - 95 = -3*j. Let t = k + -28. Is t a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-50)\/(-16) - 16\/(-1792)*-14. Solve -5*i - 29 = -v, 2*i + 4*v + 6 = x*v for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-100))\/((-34)\/340)*10\/(-6)*78.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f + 3*r - 48 + 45 = 0, -12*r - 56 = -5*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hxhiinnihixii. Give prob of picking 1 h and 2 n.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = l**3 - l**2 - 3*l - 9. What is c(4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-15)\/2)\/15 - 2234\/4. Let b = -83 - d. Suppose 2*r + 74 - b = 0. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 45 = 5*n - 6*i, 3*i + 43 = -4*n. Suppose -2*q - 5 + 1 = 0. Is q\/(-4) + n\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 25\/2 of a micrometer?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) be the third derivative of 0*a**3 + 8 + 0*a**6 + 0*a**4 + 11\/42*a**7 + 0*a - 43\/30*a**5 + 6*a**2. Find the third derivative of h(d) wrt d.\nAnswer: 1320*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 348.9 - 29.9. Let g = x + -226. Let o = 92.9999945 - g. What is o rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 3362*r**3 - 3710*r**2 + 355*r - 1. Let i(t) = 13447*t**3 - 14839*t**2 + 1419*t. Let u(f) = -4*i(f) + 18*v(f). Factor u(s).\nAnswer: 2*(s - 1)*(58*s - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2341\/18 - -1070\/9. Is b equal to -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x**(1\/4))**(-2\/35)\/(x**(1\/3))**(-50))**(2\/15) assuming x is positive.\nAnswer: x**(697\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3)\/138*-6 + 0. Is y smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*a**2 - 8*a + 3*a**2 + 4*a**3 - 5*a**2 as z*a + f*a**2 + x + y*a**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 54*v - 1. Let h be i(1). What is the remainder when 1*-2*h\/(-2) is divided by (-73)\/(-4) + (-4)\/16?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4\/3 in -5, 4, -18, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -49 - 88 - 33*d - 40 + 174. Determine g(-3).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -1, -2, -27268, 3, 4 in increasing order.\nAnswer: -27268, -5, -2, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2 + 5\/(1 - 0). Suppose -41 = -22*t + 25. Solve -2*n + t = -v for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 2842440139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = z**3 - 2*z**2 + 2*z + 113. Calculate the remainder when n(0) is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/(2 + 27\/(-12)). Let n(f) = -61*f - 22. Let v be n(-3). Is 674\/s - (v\/(-28) - -5) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3233979584?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 550*w + 41793. What is l(-76)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7427649?\nAnswer: 3, 2475883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 4623288391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 2*b**2 - 8*b + 6. Let z be w(5). Let p = 12 + z. Let g be -1 - (1 + -2*3). Solve -2*d + p = -t - g*t, t = -3*d + 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3652 + -3654. Put 80\/21, 3, p in increasing order.\nAnswer: p, 3, 80\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/3 or 26004337?\nAnswer: 26004337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 2335253583+-3\nAnswer: 2335253580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -65 = -5*s - 0. Suppose 5*v - 57 = s. Let i(t) = t**3 - 11*t**2 - 2*t - 7. Is i(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 72\/19  (b) -40\/7  (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(18) - (sqrt(216)\/(sqrt(24)\/sqrt(2)))**2 - (-2 + sqrt(18) + 1)) + (sqrt(242) + 1*(-4 + sqrt(242)))*-2.\nAnswer: -44*sqrt(2) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sum -7341579660 and 0.01.\nAnswer: -7341579659.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that -18*a**4 - 2574*a**3 - 14788*a**2 + 1144*a + 6576 = 0.\nAnswer: -137, -6, -2\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = u**3 - 4*u - 2*u**2 - 5*u + 8*u. Calculate g(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:54 AM and 12:16 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -237.474453 rounded to zero dps?\nAnswer: -237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*q + 0*q + 3*q)*(-827 + 272 - 418) to k + z*q and give z.\nAnswer: -2919","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7344 divided by 4.\nAnswer: -1836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:59 PM and 11:44 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -677 + 725. Let k(n) = -n**3 + 20*n**2 - 2*n + 124. Let i be k(20). What is the highest common factor of d and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = -3*s - 32. Let i be 6\/s - 6\/(-8). Factor 1\/3*k - 2\/3*k**2 + 1\/3*k**3 + i.\nAnswer: k*(k - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 444\/71 <= 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 580*c + 42342. Let k be f(-73). Factor -6\/13*t**k + 8\/13 + 0*t - 2\/13*t**3.\nAnswer: -2*(t - 1)*(t + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 286, 297, 322, 367, 438?\n\"Answer: p**3 + p**2 + p + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 785532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -87 + 87 + 17*r - 2*r + 3*r - 2*r + (-2*r + 3*r + r)*(-1 + 7 - 4) + 0*r + 0*r + 2*r + 4*r - r - 5*r - r + 5*r - 2*r as l + h*r and give h.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -32*b**4 - 72750*b**3 + 12439279*b**2?\nAnswer: -768*b - 436500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 152 = 5*u + 2*t, 4*u - 148 = 5*t - 0*t. Suppose 0 = -4*a + 41 + 135. Suppose -a = -2*v + u. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 2 c when three letters picked without replacement from hmmmhcmcmcmmccccbbcb.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sum -3 and 0.1347597.\nAnswer: -2.8652403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(200) - (sqrt(200) + -4)) + 3)**2 + -1.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -37, 2, 1\/10, -5\/7, -4\/11, -4\/5?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 4, e: 3, a: 2}. What is prob of sequence aeeb?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = a + 4*i - 1384, 0*i - 1389 = -a - 3*i. Calculate the remainder when a is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = -8*g + 280. Let k = 73 - g. What is the third derivative of -291*y**2 - 38*y**k - 5*y + 5*y + 321*y**2 wrt y?\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(2\/19)\/z**4)\/(z\/z**(-2)*z**(-12)) assuming z is positive.\nAnswer: z**(97\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4.648 - -5.67. Let g = -0.9757 + f. Round g to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 505110044 to the power of 1\/4, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-3 + 5 - 1)*(-82 + 35*b + 191 - 102) + (2*b - 5*b + b)*(4 - 3 + 1) - b - 2 + 2)*(2 - 1 + 0) as c + h*b and give h.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*i + 2 - 12. What is the tens digit of 2 + i - (-134)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*x + 11 = 30*x + 2*q, 4 = 2*x + 2*q for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 6659016\/252*6\/(-4)*-1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-13)*w**0\/w)\/((w\/w**(-41))\/(w\/(w*w*w**(10\/13)))) assuming w is positive.\nAnswer: w**(-751\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -330309, -330247, -330143, -329997, -329809, -329579, -329307?\nAnswer: -328993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*z - 3*t - 9, z - 2 = -t - 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1822562977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 63\/4708 and 101\/24.\nAnswer: 28248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -26, -19, -2, 31, 86?\nAnswer: 169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*l**2 + 0*l**2 - 7*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6028059 and 457104?\nAnswer: 96448944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a day in minutes?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Total of 2.44 and 133771.49.\nAnswer: 133773.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + 2 + -4*sqrt(20)\/sqrt(4) - -5*(6*(sqrt(720) + -1))**2.\nAnswer: -4324*sqrt(5) + 129778","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) -3  (c) 0  (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(68))**2*4 + 2.\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -25*p**3 + 2*p**2 - 2. Let j(k) = 150*k - 10349. Let n be j(69). Determine d(n).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 - -110101220220?\nAnswer: 110101220210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that -3*d**2\/2 - 96*d + 603\/2 = 0.\nAnswer: -67, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -24*t**3 + 5*t**2 - 7*t + 5. What is c(3)?\nAnswer: -619","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*x**2 - 5*x**2 + 10*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (6*(-13)\/78)\/(1\/(-890)). Let u = 959 - o. What is the highest common factor of u and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9\/6364 or 1?\nAnswer: -9\/6364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -22141, 4, -5, 2, 567 in decreasing order.\nAnswer: 567, 4, 2, 1, -5, -22141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7272163 or 7272158?\nAnswer: 7272158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w**2 - 36790*w - 110415 = 0 for w.\nAnswer: -3, 7361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 + 13 + -14 - 7 - -23) + -11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.0578 + -242.9422. Let n = w - -245. Let r be (-1)\/(-4) + (-10)\/20. Which is the nearest to n?  (a) r  (b) -2  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 150272*a**4 - 2*a**3 + 22509*a**2?\nAnswer: 3606528*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -39, -73, -107, -141, -175?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -19242 - -19524. Calculate the remainder when v is divided by 51.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -n**2*p + 3680*n**2 - 7173*n*p wrt n?\nAnswer: -2*p + 7360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26 divided by 14.\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 f when two letters picked without replacement from nbbdbdfddfbdbdffdnf.\nAnswer: 25\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/(-16))\/(2 - 22\/12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that 10*d**5\/9 + 77774*d**4\/9 + 205756438*d**3\/9 + 195426089282*d**2\/9 + 27184390653640*d\/9 + 10842501253592\/9 = 0.\nAnswer: -2537, -166, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3 + 248.\nAnswer: 247.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-30)\/(-80))\/(-52 - 1011\/(-12)).\nAnswer: 1\/86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 989*v**2 - 3*v - 113*v**2 + 9*v - 4*v.\nAnswer: 876*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 58 a factor of 6438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -911835*s**4 - 489627*s**2.\nAnswer: -21884040*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 9923 > 645082\/65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 5*j - 67. Let b be k(12). What is the tens digit of -3 - (7 + b) - -68?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 322 minutes before 10:22 AM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1016 - -1603. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 733 = 4*c - c, 0 = 3*r + 5*c - 586. Let l = r + -177. Suppose -5*d + 4*d + 3 = 0. Solve 0 = -4*g + g - d*a - 18, -3*g + 5*a - l = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9 - 10. Let j(i) = 74*i**2 - 2*i - 1. Let f be j(g). Suppose 4*s = -5*m + 165, 2*s - 5*m - f = -0*s. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000103293 to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.702 + 1.298. Which is the smallest value?  (a) -3  (b) u  (c) -795\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*f + 90963 = 13187. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = -6 - 4. Suppose -2*u = r*u. Suppose 0 = -3*j - 6*j + 36. Sort 5, j, u in increasing order.\nAnswer: u, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the second derivative of r**3\/6 + 5*r**2\/2 - r. Let h be v(-3). Solve -10 = a + 2*m + h, m = -a - 7 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1.7 in 1\/4, 2\/1163, -3.6, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = -5*s + 36. Let p = 2 + s. Suppose -9*q + p*q = -4. Which is smaller: q or -5\/8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1319592 by -12.\nAnswer: -109966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 86 divided by 43.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 33959 + -33521. What is the smallest common multiple of w and 42?\nAnswer: 3066","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = -4*u + 12, -v = 3*v - 16. Solve r - 2*r + 4 = u for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -102313 * -541\nAnswer: 55351333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 4 = -2*f. Suppose -3*k - 2*h = -h - f, k + 3*h + 13 = 0. Suppose 4*q - 3*q = k. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 83 = -3*n, -3*m - 81 = -6*m + 4*n. Let t = 36 - 23. Calculate the remainder when m is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -p**3 + 2*p**2 - 2. Let j be m(2). Let x(s) be the second derivative of -s**4\/4 - s**3\/3 + s**2\/2 + 29*s. Calculate x(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2055808819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(425)*2 + (sqrt(1700) + (sqrt(1700) - (sqrt(1700) + (5*sqrt(1700) - sqrt(1700)) - sqrt(1700))))**2.\nAnswer: 10*sqrt(17) + 6800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 - -7. Let x be (-3)\/n - 13\/(-3). Let o(v) = v**2 - 2*v + 3. Let k be o(4). Solve 4*i + 3*h + 1 = 0, k = x*i - 3*h - 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -10074447, -20148893, -30223339?\n\"Answer: -10074446*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4156, 1457, -5852, -20075, -43516?\nAnswer: -78479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -27005045.4 to the nearest one thousand.\nAnswer: -27005000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 0.071, -50, 2\/19, 2\/5.\nAnswer: -50, -1, 0.071, 2\/19, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29 = -d + 1. Let h = -10 - -84. Suppose -d = -j - 4*v, 3*j + v + 3*v = h. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 150212380?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2359.04190035 - 2351.0419. Let h = d - 8. What is h rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence phb when three letters picked without replacement from hpb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 219, 551, 883, 1215?\n\"Answer: 332*b - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 461507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (4\/4)\/((-1)\/(-2)). Let s(c) = -2*c + 2. Let i(u) = u. Let h(l) = -2*i(l) + s(l). Let z(f) = 5*f - 2. Determine j*z(r) + 3*h(r).\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5*a**2*c**2*k**3 - a**2*c**2*k + 13*a**2 - 6*a*c*k**3 - 2*a*k - c**2*k**2 - 3*c**2 wrt a?\nAnswer: -10*c**2*k**3 - 2*c**2*k + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 75771*g**4 - 25*g - 279 wrt g?\nAnswer: 909252*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1196.4524479 + -1252.95244739. Let q = -56.5 - g. What is q rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (-3*1*sqrt(78) + sqrt(78) - (sqrt(78) + -1*sqrt(78)*-1))\/(2*sqrt(384) - sqrt(432)\/sqrt(8)))**2*-1.\nAnswer: -68\/13 + 16*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 105*k - 101*k - 92. Suppose -k*w = -31*w. Suppose -5*h = 4*t - 2*t - 3, -h + t - 5 = w. Put 2, h, -3 in decreasing order.\nAnswer: 2, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -2*(-4)\/((-16)\/6). Let c = 6 + k. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 19\/(4\/(-6)*(-6)\/32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -u**2 + 10*u - 9. Let j be s(9). Suppose -68 + 193 = 3*p - i, 4*p + 3*i - 158 = j. List the prime factors of p.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*m - 20 = 4*m. Suppose -7*q = -m*q - 9. Suppose -3*d = -d - 3*v - 6, 3*v = q*d - 12. What is the remainder when d is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -2\/11  (b) 6  (c) 7  (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*w = 18*w + 3*r - 221, -3*r = -2*w + 442. What is the lowest common multiple of w and 247?\nAnswer: 4199","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 = -5*l + 3*p, 4*l - p - 6 = 19. Suppose -5*a = 2*f + f - 6, 0 = 5*a - l*f + 10. Sort -5, -2, 3, a.\nAnswer: -5, -2, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-8)\/w*w)\/(w\/(w*w*w**(3\/4))))**(4\/5)\/((w**2)**(5\/13))**44 assuming w is positive.\nAnswer: w**(-505\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 20 + -33. Let k = -12.5 - a. Let l be -4*((-676)\/168 + 4). What is the third biggest value in l, -0.3, 1\/8, k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -27176 or -46\/5?\nAnswer: -27176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 - -3. Let x = -35 + 30.1. Let i = x + 5. Which is the second smallest value?  (a) o  (b) -2  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {v: 2, x: 2, b: 11, a: 1}.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 701132, 1402365, 2103598, 2804831, 3506064, 4207297?\nAnswer: 4908530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -73*g**4 - 512848*g**3 - 368114550*g**2 wrt g.\nAnswer: -1752*g - 3077088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 342\/4*(-306)\/(-1377).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -34.29 - -34. Let s = -0.031 - n. Let o = s + -0.258999699. What is o rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 677893 is divided by 5130.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -5168, -20565, -46194, -82055, -128148, -184473, -251030?\n\"Answer: -5116*h**2 - 49*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -30592, -30593, -30594, -30595?\nAnswer: -30596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -0.12 times -33299\nAnswer: 3995.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -80*c = 227 - 1107 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3030459 and 1286?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((-6*2*sqrt(686))\/(-2*sqrt(7)*6*-5) + -5)**2.\nAnswer: -723\/25 - 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:13 AM and 4:11 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 1 = -3*g. Let s be g*(-1)\/(-4) + (-144)\/(-64). Let h be (-4)\/((-24)\/54) + -4 + 1. Solve -s = 2*k - h for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 2*l. Let m(n) = 27*n - 7. Let x(o) = -2*d(o) + m(o). Let i be x(3). Which is bigger: i or 60?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*m + 3*h + 60, 11 = -m - 4*h + 1 - 10 for m.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 49 + -48.5. What is the smallest value in s, -3, -1, 2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 62 a factor of 2108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10 - 3331233312112?\nAnswer: -3331233312102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 80*g = 29*g - 82*g + 1064 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -958*z. Is v(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 0*w**2 + 2*w**2 + w**2. Let i(s) = 2 + 2 + 5*s - 4 - 3*s. Give m(i(p)).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -2037, -4072, -6109, -8148, -10189?\n\"Answer: -s**2 - 2032*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 4, m: 1, a: 1, e: 2, r: 3, u: 1}. What is prob of sequence uam?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -25, -1, 0 in decreasing order.\nAnswer: 0, -1, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -673*a + 385. Is c(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 636 minutes before 9:36 AM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -53\/567 and -19\/1836?\nAnswer: 38556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d**3 + d - 3. Let v(q) = q**2 - 3*q + 9. Let l be v(3). Let t = -4 + 13. Let s = l - t. Determine w(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*c**4\/4 - 39*c**3\/4 - 165*c**2\/4 - 225*c\/4.\nAnswer: -3*c*(c + 3)*(c + 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 244656212?\nAnswer: 2, 149, 410497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -2*l. Let y = 14 - 4. Suppose v + 5*t = 17, -2*t + 0*t = 2*v - y. Let u(n) = v - 2 - n. What is r(u(d))?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) be the first derivative of -z**2\/2 - 3*z + 2. Let s be v(-3). Solve s = 2*n - 3*n + 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 929 + (-7 - (-8)\/2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 283541166 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*d - 0*d. Let l(r) be the first derivative of 1 + d*r + r**2 + 2\/3*r**3. Find the second derivative of l(w) wrt w.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3\/392 - -811\/3528. Suppose -1 = -d, 3*w + 2*d = -3*d + 11. Factor 0 - i*a**w - 2\/9*a.\nAnswer: -2*a*(a + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 20*c**3 + 2555*c**2 + 81280*c - 20480.\nAnswer: 5*(c + 64)**2*(4*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 1.109419ug?\nAnswer: 1109.419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 218175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/132 and 125\/198168?\nAnswer: 2179848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1479, 1422, 1365, 1314, 1275?\nAnswer: 1254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 628?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 5*m - 13*m - 6*m + 17 - m**2 + 4*m**2. Let f(y) = -8*y + 1. Let p be f(-2). Let u(i) = i**2 - 5*i + 6. What is p*u(s) - 6*n(s)?\nAnswer: -s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9 - (1 - 7)) + 0 + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 127\/125970 and -43\/198478332.\nAnswer: 992391660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2 + 396\/77)*(48 + 2\/2). Calculate the highest common divisor of 1414 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*q**3 + q**3 - 2*q**3 + (37*q - 48*q + 27*q)*(-5 + 5 + 9*q)*(-1 - 2*q + 1).\nAnswer: -289*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 3 + 2 + m**2 - 2. Suppose 2*j - j - 11 = 0. Let o(q) = -5*q**2 - 16. Give j*u(c) + 2*o(c).\nAnswer: c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -z**2 + z. Let m(f) = -10*f**2 + 10*f - 5. Let w(p) = -m(p) + 4*r(p). Let u(x) = x**2 - x + 1. Determine 10*u(i) - 2*w(i).\nAnswer: -2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -4990, -265, 4 in increasing order.\nAnswer: -4990, -265, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7832, 7830, 7826, 7820, 7812, 7802?\nAnswer: 7790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2622 plus -2.88?\nAnswer: -2624.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 20 + (28 - (-5364)\/(-108))*3.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - n + 20 = 0. Differentiate 0*m**4 - m**4 + 1 - 3*m**n wrt m.\nAnswer: -16*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3.1 + 3. Let b be 42\/(-24) + (-6)\/(-8). Let q = -2 - b. Put g, q, 1\/5 in increasing order.\nAnswer: q, g, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 551368 - 551320 - 8*d - 52*d as u + z*d and give u.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -15 - 40. Let i = -26 - u. Calculate the remainder when i is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-288)\/48*(-2)\/8. Which is bigger: 0.27 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -77817, -77821, -77825?\n\"Answer: -4*x - 77813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 563, -0.1, 0.5 in decreasing order.\nAnswer: 563, 0.5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -1133*i + 1078. Is o(-11) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that g**3\/6 - 212699*g**2\/6 + 212693*g\/3 + 283596 = 0.\nAnswer: -2, 4, 212697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/6 + (-40526)\/(-69). Suppose -h = -x - b, -2*x + 6*b + 1170 = 2*b. What are the prime factors of x?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, q: 1, p: 1, h: 1, f: 1}. Give prob of sequence oq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 3729 at most as big as 3730?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -89\/124 and 61\/2?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2411759, 2411765, 2411773, 2411783, 2411795, 2411809?\nAnswer: 2411825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44*i - 3960 = -i. What is the remainder when i is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.9117934 to 2 decimal places.\nAnswer: -0.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 4*c = -44 + 4, -z = 4*c - 28. Solve -8*a + z = -4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/(4\/(16\/(-54))))\/((-37386)\/(-1809)).\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(-40)\/o**(-26)*(o**(-42)*o*o)\/o**0 assuming o is positive.\nAnswer: o**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.23 - 0.17. Let y = 4796 + -647413\/135. Let l = y + -4\/27. Put -3, l, j in ascending order.\nAnswer: -3, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -4*x - 24. Let z(s) be the first derivative of -s**2\/2 - 705. What is z(n(v))?\nAnswer: 4*v + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 12*u**2 + 0*u**3 - 3*u**3 + u**3 + (-2*u + 0 + 0)*(3*u**2 - 2*u**2 - 5*u**2).\nAnswer: 6*u**3 + 12*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*c - 4*c + 4*y + 5, -3*y + 3 = 0. Let u(q) = -2*q**2 + 2*q**2 - 9*q + 0*q**2 + 7 - q**2. Is 2 a factor of u(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 0 + 4)*(-10*m + 35*m + 26*m) + 0*m + 0 + 1 - 3*m + (-4*m - 10*m + 7*m)*(1 + 5 - 4).\nAnswer: -119*m + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -247*p + 2872. Let y(f) = 41*f - 1. Give -v(j) - 6*y(j).\nAnswer: j - 2866","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1362 + -1367. Which is the third biggest value?  (a) -1  (b) y  (c) 1\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - x + 103 = 0, 3*x - 6 = 6. Let p(r) = -5*r - 30*r**2 - n*r**2 + 60*r**2. Let c(g) = -g**2. Calculate p(c(b)).\nAnswer: -3*b**4 + 5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o + d + 7, 4*o - 2*d = -1 - 17. Let g be (o\/(-3))\/(-2)*(-195)\/2. Let k = g - 52. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j + 2 - 2)*(8 + 2 + 3).\nAnswer: -13*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -v*x**4 - 8*v*x**3 - 7*v*x**2 + 35*v*x - 14*v + 7*x**4 + 71*x**3 - 2*x**2 + x wrt x.\nAnswer: -24*v*x - 48*v + 168*x + 426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 108 divided by 423.\nAnswer: 12\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*r + 5*i + 12, -8 = r + 12*i - 27*i + 16*i for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1728 + -1714. What is the least common multiple of 582 and p?\nAnswer: 4074","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -2*a. Let v(q) be the second derivative of 0*q**3 - q**2 + 0 + 4*q + 1\/24*q**4. Let z(p) be the first derivative of v(p). Give l(z(s)).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 8*p + 32 = 0. Suppose 4*f - 16 = 4*y, 0 = -f - 2*f - y + p. Suppose 3*a + 12 = 0, f*a = -3*k + 5*a + 281. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 14 + 64 = 0. Let b = d + 16. Suppose -b*g + 2*g + 24 = 0. Does 3 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 267, 1435, 3383, 6111, 9619, 13907, 18975?\n\"Answer: 390*i**2 - 2*i - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 13\/4 of a kilometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0 - 4. Let f be 0\/5*2\/k. Suppose f = -3*o - 3*a + 75, 0*o = 4*o - 4*a - 84. What is the remainder when o is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the third derivative of y**5\/80 - 71*y**4\/16 + 5041*y**3\/8 + 776*y**2. Find j, given that n(j) = 0.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -19.5 - -2.5. Let n = v + 14. Let p = -132\/1027 - 2\/79. Sort 4, n, p.\nAnswer: n, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -5*u + 66. Suppose -3*g + 2*o + u = 0, 2*g + 5*o + 9 = -2. Solve g*t - 3 + 5 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.82 - -0.02. Let o = 0.8 + u. Let w = 17 + -19. Which is the closest to 0?  (a) o  (b) w  (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 2675.36 and -527.\nAnswer: 2148.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x**(-8)\/x)\/x*x*x**(3\/2)*(x\/x**(1\/2))**(7\/3) assuming x is positive.\nAnswer: x**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -66997, -134034, -201081, -268138, -335205, -402282?\nAnswer: -469369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 13.22976 + -0.02976. What is c rounded to one decimal place?\nAnswer: 13.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -86, -311, -662, -1133, -1718?\n\"Answer: w**3 - 69*w**2 - 25*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = h**2 + 80*h - 1535. Let q be p(16). Is 179 at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjjjjjnonjjjjj. Give prob of sequence jno.\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = i**2 + 28*i + 46. Let d = -263 + 235. What is the remainder when 596 is divided by m(d)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -15*((1 - -2) + -2). Let a be ((-3)\/(-36))\/((-2)\/n). Is a not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -249 + 118. Let b = -521\/4 - l. Let x = 0.4 - 0.2. Sort b, x, -1\/2.\nAnswer: -1\/2, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the first derivative of 11*f**3\/3 - 3*f**2\/2 + 2*f + 11. Let b be i(3). Suppose 0 = -4*h + 20 - b. Which is bigger: h or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 2 + 2)*(-7*l**2 - l**2 + l**2) to the form n*l + j*l**2 + i and give j.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-16)\/42 - 85\/(-119). Which is the fourth biggest value?  (a) 0.15  (b) 2  (c) -0.3  (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 150681?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.21 + -1.25. Let f = j + -0.55. Let w = -0.01 - f. What is the biggest value in w, -5, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the first derivative of -38*t**3\/3 - 25*t**2\/2 - 22. Find the second derivative of p(z) wrt z.\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l + 1563 = 1569 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 645.0128 years?\nAnswer: 64.50128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 5\/12 and -51\/42328.\nAnswer: 126984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 56 + -56. Let t(m) be the first derivative of -2\/27*m**3 - 1\/9*m**2 + 2 + r*m. Let t(k) = 0. What is k?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 667 minutes before 9:59 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -450263 divided by 2\nAnswer: -450263\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -11 - -38. What is the greatest common divisor of c and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -278, -502, -726?\n\"Answer: -224*y - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -17 by -195931.\nAnswer: 17\/195931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3902 is divided by 23?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 356282.\nAnswer: 2, 178141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the second derivative of -k**3 - 3*k**2\/2 + 63*k. Give v(4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/9, -1, -3, 7\/8 in increasing order.\nAnswer: -3, -1, -2\/9, 7\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -56 - 26823c?\nAnswer: -268294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1766 - 1771. Let g = -46.43 - -51.3. Let m = -5 + g. What is the third biggest value in y, m, 1\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1061 + -524. Let f = 1010 - a. Is 20 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 3*o = -19, 5*w - 4*o = 7 + 9. Suppose -14 = 3*h + w*c, -2*c + c = 5. Suppose -y + 1 = f, -2*y + h*f + 8 = -10. Solve 4*m = -y - 3 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = k**3 + 132*k**2 - 5855*k - 32445. Determine h(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*l**3 + l**3 + 0*l**3 + (-5*l**2 + 5*l**2 + 2*l**2)*(4*l + 4 - 4).\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -32, -101, -222, -395, -620?\nAnswer: -897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 times 1532?\nAnswer: -7660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 88780776 divided by -357987.\nAnswer: -248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 109 + -82. Find the second derivative of -2*u**2 - 33 - 6 - 36*u + 41 - c*u**4 wrt u.\nAnswer: -324*u**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (34 + -38)*(-4)\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/(z*z**(-3\/5)))\/z)\/z*z**(2\/5)\/z*z*z*z\/(z*z*z\/(z*z\/(z\/(z\/(z\/z**5)))))*z\/z**(-3\/11) assuming z is positive.\nAnswer: z**(58\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.4, -49, 14, -5, 0.3, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4208673 divided by 7?\nAnswer: 601239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Add together 168414 and 0.55.\nAnswer: 168414.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -2058\/2249 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4747134 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3 - -13. Solve m = -z - 4, -27 = 3*z - 2*m - j for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*r**2 - 2*r**2 + 0*r**2 + (2*r - 3 + 3)*(4*r - 4*r - r) - r**2 + 2*r**2 + 0*r**2 + (-3*r - 3*r + 2*r)*(3 - 3 - r).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y = 2*b - 36, 419*y = 416*y - b + 23 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2012210202 - 1110?\nAnswer: 2012202022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -7*m - 1. Let o(q) = q**2 - 10*q + 26. Let c be o(6). Suppose -c = -3*s + 4. What is u(s)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 472 = 477. Let c be 6\/(-12) - (q - 3\/2). Solve c*m - 12 = 2*y, 4*m - 9 = -3*y + 2*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -5*q**2 - 52*q - 125. Let w(d) = d. Let m(o) = 2*w(o) + x(o). Solve m(c) = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 3*w - 468 = -2*p, -3*p + 5*w = 444. Let s = 183 + p. Calculate the lowest common multiple of 1 and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 12.3 - 1.3. Suppose 0 = -2*z - 4*f + 130 + 34, -f + 85 = z. Let b = z + -86. What is the second smallest value in b, o, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1190 divided by 70?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 12 - 3 = 0. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 + -2 + (8 - (10 - -4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 38033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7 + 11. Let w = 216 + -215.9. Let h(o) = o**3 - 2*o**2 - 8*o. Let s be h(4). What is the nearest to s in t, w, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n and 2 m when four letters picked without replacement from {n: 10, m: 9}.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Do -6 and -83\/11 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2  (b) 0.2  (c) 0.013  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 4*w - 2*c = 7, 0 = 5*w - 2*c - 19. Determine u, given that 1\/2*u**w - 1\/2*u - 1\/4*u**4 + 1\/4 + 0*u**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6300 divide 5613300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 51725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -1758623 < -1758598?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -79\/2842854 and -121\/81495148?\nAnswer: 244485444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 70 and 32270?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 0.06, 59, 3, 0.2, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11875051.\nAnswer: 227, 52313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7149.999999231 + -7150. What is m rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 24 and 1?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-210*q - 29*q + 45*q)*(58*q - 2 + 1 - 102*q) to the form n*q + c*q**2 + t and give c.\nAnswer: 8536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4774.97 + -4775. Which is greater: -258 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*u + 10*u = -15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 72 - 39. Calculate the greatest common divisor of 66 and a.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 48 = 8*h. Solve -6 = 2*y - h for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 102, 1\/5, 0.3, 5\/8, 6\/7, 4\/9?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3065779?\nAnswer: 3065779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -12 - -19. Suppose -1 = -4*y + b. Solve -y*i - 3*i + 25 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -16*b**2. Let s(y) = -2821*y. Determine s(f(i)).\nAnswer: 45136*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -28055840 rounded to the nearest one million?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = y**3 + 8*y**2 + 6*y - 5. Let o be v(-5). Let k be (8\/(-6))\/(3\/(-18)). Calculate the greatest common factor of o and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 632197.\nAnswer: 47, 13451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 + 8 + 4)*(173*d**5 + 98*d**5 - 382*d**5).\nAnswer: -2220*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1599407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-2\/5))**(4\/9)*(k**(-2\/7)\/k)\/(k\/(((k\/(k\/k**5*k))\/k)\/k)) assuming k is positive.\nAnswer: k**(-146\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*w + 28 + 62. Let f be (-8)\/6 + (-102)\/w. Solve 0*j - 5*j + f = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (4 + -1 - 9 - (-21)\/3)*4556?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 254831 is divided by 6238?\nAnswer: 5311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -4*c - 1. Let t be 12\/(-30) + (-46)\/10. What is a(t)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by -243?\nAnswer: 2\/243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:01 AM and 7:48 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 - 8) + 0 + (-4 - 1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*l = -2*y + 161, 5*l + 1404 = 5*y + 929 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2503891 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + (-18 - -9) + 5 + -4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -23*l**3 + 3*l**2 + 4*l - 4. Let t(b) = 8*b**3 - b**2 - b + 1. Let w(f) = 3*a(f) + 8*t(f). Calculate w(2).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 36367*i**3 - 385398?\nAnswer: 109101*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -2*r**3 + 20*r**2 + 43*r - 202. Calculate y(11).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6111.779 * 0.07.\nAnswer: -427.82453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*t - 30*t = 207 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*d + 2*d + 3*d)*(3 + 114*d - 34 - 111*d).\nAnswer: 3*d**2 - 31*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 152491 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 587.742 - 587. Let r = 0.742000934 - o. What is r rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*d + 30 = -v + 6*d, -5*d = 4*v + 60. Let x be v\/(-65) + 24\/13. Solve 5*y + 4*q = -13 - x, 0 = 3*y - 3*q - 18 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 14307 - -78b?\nAnswer: 14a96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = -0*g - 195. Suppose 4*j + 18 = -n + g, 5*j + 3*n = 64. Let u = 17 - j. Calculate the remainder when 23 is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the first derivative of 5*m**2\/2 + m - 2. Let f(a) = -a. Let n be -2 + (5 + -4 - 0). What is n*s(w) - 3*f(w)?\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -11221.1027+23.7\nAnswer: -11197.4027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-36 - -65 - 15) + -1 + -4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 11508 and 2250636?\nAnswer: 1644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 15224897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 3*m**2 + 2*m - 4. Let c be k(2). Let u(q) = q**2 - 13*q + 16. Let d be u(c). Solve 0 = 5*v - 5*h - 10, -v + 2 = -3*h + d for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -370*j**4 + 960*j**5 + 370*j**4 - j**2 - 2*j**5 + j**2 + (2*j**4 - 4*j**4 + 3*j**4)*(-2 - 2*j + 2).\nAnswer: 956*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/8 of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 5508 * -0.2\nAnswer: -1101.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 133*n = 1255703 + 533945. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 85679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1132 and 571660?\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 114\/(-2052)*24\/(-5).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 446677633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/o**(-10)*o)**38*(o*o**(-18))\/(o*o*((o**(1\/9)\/o)\/o)\/o*o) assuming o is positive.\nAnswer: o**(3950\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4)\/(-6) + (-15098)\/30. Let k = g + 54921\/110. Find the common denominator of 15\/22 and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 36*p**2 + 2*p + 1. Let a be x(-1). Suppose 8*u = 3*u + 5*q + a, 5*q = -u - 11. Solve u*n - 2*l = -18, l + 6 = 4*n + 19 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -a6 + 2b4d46?\nAnswer: 2b4ca0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-2\/9)\/(d\/d**(-2\/5)))**(-25)*(d**0\/(d*(d**5\/d*d)\/d))\/(d**(-1\/2))**(-39) assuming d is positive.\nAnswer: d**(289\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*w + g - 1545, 3588 - 486 = 4*w - 2*g. Let m = -549 + w. Calculate the greatest common divisor of m and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*z - 5*x, -45 + 61 = -25*z - 3*x + 8*x - 94 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*w - 37*w - 20*w in the form k + a*w and give a.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -65*i**3 + 16*i**2 + 84*i + 61. Is w(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1748 and 782.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 64 divide 1513242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 74719454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 281 + -270. Solve v*i = 6*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*q**3 + 628*q**2*w + 2*q*w - 3*q - w wrt q.\nAnswer: -12*q + 1256*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 17 - (-159 + 23 - -23). Calculate the highest common divisor of i and 640.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 669320 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: Solve -g + 0*n = -0*g + n, 4*n + 163 = 2*g + 157 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -x**2 + 1. Let p(i) = -18*i**2 - 18*i - 4. Let s(z) = -4*m(z) - p(z). Find the second derivative of s(g) wrt g.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rt when two letters picked without replacement from {r: 7, t: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.4935421 to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -0.12  (b) -9  (c) 7  (d) -35\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*i + 5*d + 22, 2*d + 267 = 4*i + 251 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4450?\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3.99 + 0.01. Let b = f + -7. What is the smallest value in b, 0.3, -0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = c. Let n(o) = -25*o**2 - 3*o + 3. Let p(l) = -l + 1. Let a(q) = -n(q) + 3*p(q). Calculate a(s(i)).\nAnswer: 25*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = z, j = -z + 2*z + 6. Let t(w) = w**2 - 4*w - 11. Let o be t(j). What are the prime factors of (3*(-46)\/(-6))\/o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the second derivative of x**6\/15 - x**5\/2 - 47*x**4\/3 + 104*x**3\/3 + 192*x**2 - 10934*x. Let p(g) = 0. What is g?\nAnswer: -8, -1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 72 and 64?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 26 = -3*d, 5*d + 3*z = 29 - 7. Determine u, given that 46*u**4 + u**2 - 6*u + d*u + 25*u**2 + 0*u - 14*u**5 - 54*u**3 = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -23*n**3 + n - 2. Let p be h(1). Let s = 40 + p. Calculate the remainder when 77 is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the second derivative of 8*n**4\/3 - 142*n**2 - 107*n. What is the first derivative of h(s) wrt s?\nAnswer: 64*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-110)\/(-22) - (-1)\/((-6480)\/32876) and 46\/33.\nAnswer: 17820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) be the second derivative of r**4\/12 + 23*r**3\/6 - 81*r**2\/2 + 376*r + 6. Give p(-26).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 11225\/22442 - 2\/11221. What is the third smallest value in 2\/3, -4, k, 21, 3\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:28 AM and 4:10 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 - 6*o**4 + 7)*((0 + 1 + 0)*(-5 + 3 + 4) - 36 + 33 - 21).\nAnswer: 132*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -2*g**2 - 87*g - 582. Calculate j(-35).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.15 + 18.95. Let a = 18 - h. Let n = a - -1.6. Which is bigger: 1\/10 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29807863 + 29807863 + 4*u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 13.4  (b) -7  (c) 0.1  (d) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -537, 24, -8, -3.\nAnswer: -537, -8, -3, 1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 122756, -4, 7 in decreasing order.\nAnswer: 122756, 7, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v + 10. Let t be m(-5). Suppose -t*b = -2*b - 2*d + 5, 16 = -2*b - 5*d. Let k be ((-8)\/(-12))\/((-4)\/6). Sort k, b, 3.\nAnswer: b, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -99, -318, -743, -1476, -2619, -4274?\n\"Answer: -17*n**3 - n**2 - 97*n + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -4 + 3 - f - 2 - 3. Let j be i(-13). Find the third derivative of -9*v**2 + 2*v**4 - v**2 + j*v**4 wrt v.\nAnswer: 216*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2668 + -2661. Sort -3, 26, i.\nAnswer: -3, i, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2 + (-1 - -1) + 2. Let i be ((-6)\/(-3))\/(y\/50). Let v = -121 + 145. Which is smaller: i or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) 13  (b) -6  (c) 4  (d) 2  (e) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1220458, 1220457, 1220456, 1220455, 1220454, 1220453?\nAnswer: 1220452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 29\/2 at least 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*g + 36*g + 67874 = 2*s, 5*s + 33967 = 2*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 31\/86 + 38803\/430. Let p = d + -87. Find the common denominator of -49\/10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 170*x - 1 + 1 - 20*x**2 - 156*x wrt x.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 84.6  (b) 2\/221  (c) 0.1  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 104864 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.057 + -0.157. What is the nearest to -0.1 in 4, 115, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2645 times -156?\nAnswer: 412620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 24 - 8. What is the smallest common multiple of 2 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) be the third derivative of l**8\/3360 - 29*l**5\/120 + 13*l**4\/24 + 6*l**2. Let k(h) be the second derivative of j(h). Differentiate k(i) wrt i.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + j = 18, -42 = -68*t + 71*t + 3*j. Which is greater: t or -461?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2317 - 4826?\nAnswer: -7143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 8, w: 2, j: 4}. Give prob of picking 1 j and 1 w.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that -2*d**3\/19 + 62*d**2\/19 - 438*d\/19 + 378\/19 = 0.\nAnswer: 1, 9, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*p + 126 = 5*u, 450038 = 4*u + 4*p + 450014 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3\/107, -2\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 708229281 a multiple of 474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -331 (base 14) in base 16?\nAnswer: -277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 2*y + 15. Let c be x(-8). Sort -0.4, -1\/2, 5, c in descending order.\nAnswer: 5, -0.4, -1\/2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 23 = -7. Let x = -101 - -98. Put x, -0.2, p in descending order.\nAnswer: p, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = u**3 + u**2 + u. Let f(c) = 7*c**3 + 2*c**2 + 13*c. Determine -f(z) + 4*n(z).\nAnswer: -3*z**3 + 2*z**2 - 9*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/1737  (b) -0.4  (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5*((-2002)\/(-70))\/(-11)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -71\/14 - -305\/56. Which is the nearest to -1\/2?  (a) l  (b) 1  (c) -28\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 13 = 3*k, -5*k = 5*o - 220. Suppose -4*u + 18 + 46 = 0. Suppose u = 4*l, -5*l + o = v - 72. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 27\/140 and -53\/12845.\nAnswer: 51380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -8553 + -13?\nAnswer: -8566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -302 or -301?\nAnswer: -302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 364534 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 157164611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 5 + 0 + (-8)\/((-192)\/(-120)). Which is the nearest to -0.54?  (a) r  (b) 4  (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 2, u: 1, m: 1, s: 4}. What is prob of picking 1 m and 1 u?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -9, -2 in ascending order.\nAnswer: -9, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 11 + 5 = -2*z, -z = 4*c - 10. Let j be ((-8)\/z)\/((-6)\/(-27)). Solve 3*r + 2*i - 1 = j*r, -5*r + 4*i - 5 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -11*k*u**3 - 17156*k + 461*u**4 wrt u?\nAnswer: -33*k*u**2 + 1844*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from allallaalalll. What is prob of sequence all?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 75*g - 8531 + 9431 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 149 + 164 + 223 + 2*o - 573.\nAnswer: 2*o - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 288*b - 1423. Let m be d(5). Which is smaller: m or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + (-3 - 3) + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**1*j)**(-14\/3)*(j*j**(-2))\/(j*j*j**0)*((j*j*j**2)\/(j**(-1\/5)\/j))\/(j**3*j**(-2\/7)) assuming j is positive.\nAnswer: j**(-1034\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (0 + 84\/18)*(-6)\/2. Sort g, -5, -1, 11 in decreasing order.\nAnswer: 11, -1, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -2*f - 13. Let v(i) = i + 14. Let l(c) = -2*k(c) - 3*v(c). Let o be l(15). What is the tens digit of (o - -3 - 1) + 91?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 0*u - u + 2*u. Let q(x) be the third derivative of -x**7\/1680 - x**5\/60 - 4*x**2. Let j(c) be the third derivative of q(c). Determine a(j(l)).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1177365540 to the power of 1\/2, to the nearest integer?\nAnswer: 34313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -n**3 - 12*n**2 - 25*n - 20. What is the least common multiple of 25 + -13 + 0 + 3 and a(-10)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -2*v**3 - 38*v**2 + 536*v + 149. Determine p(-27).\nAnswer: -2659","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 13669872613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k**2 + 5*k + 1. Let c be z(4). Let w be ((-110)\/40)\/((-2)\/8). Let s = 21 - w. What is the greatest common factor of c and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1518*d - 3 + 4 - 10 + 9)*(0 + 6*d + 0) in the form m*d + u*d**2 + t and give u.\nAnswer: -9108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 684\/60 - 3\/(-5). Suppose d*v + 12 = 15*v. Suppose -k + v*r = -3*k + 22, -k - 5*r = -23. Calculate the least common multiple of 34 and k.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 70 - 74. Let h = 22\/63 + -4\/7. What is the closest to -1\/4 in 0.3, h, t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) be the third derivative of 0*z**4 + 5*z**2 + 0*z + 0 + 0*z**3 + 1\/60*z**5. What is the units digit of v(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(405) + 5*(sqrt(405) + sqrt(405) + (2 + sqrt(405))**2))*-2 - ((-5*(sqrt(30) + sqrt(90)\/sqrt(3)) - sqrt(30))\/(sqrt(384)*3))**2.\nAnswer: -2355293\/576 - 558*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 28436588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7 - -8. Let a be 21 - k*(-6)\/(-3). Let f = a + 34. Is f 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 8:58 AM and 3:14 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) be the second derivative of m**5\/20 + m**4\/2 + 4*m**3\/3 + 7*m**2\/2 + 21*m. Determine v(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-15 - (-15 - 15) - 0) + -24?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2576090 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*a - 3*j + 2403, 3*a - j = 1077 + 722. Let u = a + -221. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -157 = -54*d - 58*d - 60*d + 187. Factor -1156*w**d - 1\/4 - 34*w.\nAnswer: -(68*w + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14274.5 plus -0.3?\nAnswer: -14274.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 58.53496 millilitres to litres.\nAnswer: 0.05853496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2*-13*2\/2. Let f be i\/(-5) - (-3)\/(-15). Suppose f - 16 = c + 3*u, 2*u = 5*c - 30. Sort 1, -4, c in increasing order.\nAnswer: -4, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 19.097 - -7.415. What is i rounded to one dp?\nAnswer: 26.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + ((sqrt(18) - (sqrt(90)\/sqrt(5) - sqrt(18)))\/sqrt(3))\/((sqrt(189)\/sqrt(7))\/sqrt(9)) + 3.\nAnswer: sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2363517573 to the nearest integer?\nAnswer: 1332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (22\/8 + -3)\/((-2)\/2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1728 and 357192288?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -h**3 + 5*h**2 + 5*h + 7. Let p be l(6). What is the highest common divisor of 4 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k + k - 1 = 0. Let f = -1 + k. Solve 11 = 3*u - 3*v + v, f = -5*u - 2*v + 29 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -394, -843, -1336, -1855, -2382?\n\"Answer: 3*a**3 - 40*a**2 - 350*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(133)*-2 + sqrt(133))*-4 - -6*sqrt(133)*2)\/(-2*sqrt(7)*-5 + (sqrt(343)*-1 - sqrt(7))).\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put together 850640781 and 0.32.\nAnswer: 850640781.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*q - 273 + 584 + 267 = 0 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 641 minutes after 5:02 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o + 23 - 7. Suppose -24*z = -18*z + 1530. Calculate the remainder when 49 is divided by 2*(2\/o - z\/20).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.01 - 0.01. Let g = -3 + r. Let j = 1 + g. Is j at least -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -3 - ((-15)\/35 - 46\/7). Suppose 5*i - 146 = z. Suppose 212 = 6*p - 2*p - 4*k, -p = -4*k - 41. Calculate the remainder when p is divided by i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9180\/1170 - (-2)\/13?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 11, -7, -43, -103, -193, -319?\nAnswer: -487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -1 + -4 - (-7 + -6 + 9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1132599527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 13 and 5213.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 0*q = -5. Suppose 0 = 2*w - 3*s + s - 8, -q*w - 4*s = -2. Solve 0 + w = -k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 66252347 divided by -7?\nAnswer: -9464621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 24 = -4*j - 2*y, 4*y = -3*j - 15. Let n = 13 + j. Solve 0 = -n*p + 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 96814 + 2*u + 96808 + 36*u**2 - 3*u**3 + 112*u**2 - 193624 to w*u + x*u**2 + t*u**3 + i and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(-8))\/(443\/67336).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 28213130?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2354410 (base 6) to base 10.\nAnswer: 124134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -10*(76\/(-950))\/((-1)\/(-5)). Solve -28 = q*b - 8 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 greater than or equal to -1\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6802?\nAnswer: 2, 19, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = c**3 - 6*c**2 + 14*c - 33. Determine a(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -2*n**3 + 63*n**2 - 50*n**2 + 7*n - 3 - 28*n**3. Let f(m) = -20*m**3 + 9*m**2 + 5*m - 2. Let g(h) = -5*c(h) + 7*f(h). What is g(-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -392 + 395. Suppose -8*u + 2*k - 12 = -10*u, -g*u = k - 12. Solve l + u = 0, 0*a + 3 = -5*a - l for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*-2*(sqrt(128)*1)**2*-6.\nAnswer: 9216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 173, 4 in descending order.\nAnswer: 173, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) 0.083  (b) -2  (c) -7\/8  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (2*sqrt(6300))\/(sqrt(27)\/sqrt(48)))**2.\nAnswer: -160*sqrt(7) + 44801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 17\/4 of a centimeter?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 989 - 1052. Which is greater: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/3557622 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l - 21 = 34*m - 39*m, -4*m - 4 = 2*l for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 15*f. Let l(t) = 2*t. Let i(z) = 14*l(z) - 2*s(z). Let x(o) = 4*o. Calculate x(i(b)).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 4087220019?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6543*j - 6474*j - 193551 = 29319. Does 85 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kpvv when four letters picked without replacement from {h: 1, v: 2, e: 7, p: 3, k: 6}?\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 759140336 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that -32*a**4 - 8804*a**3 - 601676*a**2 + 534336*a + 76176 = 0.\nAnswer: -138, -1\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 - (-7 - -6)) + 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-170)\/(-15)*(-930)\/(-194990)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v\/(v**(-6)\/v*v))\/v)\/v**(-2\/7))**(2\/33)*((v*v**6)\/v**(-1))\/(v**4\/(v\/v**4)) assuming v is positive.\nAnswer: v**(29\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3250\/(-10) - (1 + -3 + 0). Let r be b\/171 - (-2)\/(-18). Put 10, r, 3 in increasing order.\nAnswer: r, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 14870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -556512 divided by 11594?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by 25748.\nAnswer: -1\/25748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 9*c - 83. Let k(z) = -19*z + 163. Calculate 6*k(t) + 13*q(t).\nAnswer: 3*t - 101","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2288*w**3 + 792 - 1727 + 99 - 760 - 639 wrt w.\nAnswer: 6864*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -79721610, -159443236, -239164852, -318886452, -398608030, -478329580?\n\"Answer: q**3 - q**2 - 79721630*q + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.8469  (b) 0.5  (c) -3\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -107  (b) -5\/2  (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -6723782 rounded to the nearest 100000?\nAnswer: -6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-v**2 - 4*v**2 + 0*v**2)*(4 - 3 - 3)*(257 - 130 + 10*v - 133) to g*v**3 + c + b*v**2 + w*v and give g.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9131, -35414, -79215, -140534, -219371, -315726, -429599?\nAnswer: -560990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 5, 7, -5, 3\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ppppipppppipp. Give prob of sequence ipi.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 0 - 62?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -95\/4626 and 94978\/(-93548) - -11 - 10.\nAnswer: 32382","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 711264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (38*n + 72*n - 166*n)*(-2 + 5 - 2 + (3 - 1 - 4)*(2 - 1 + 1) - 3 + 1 + 0).\nAnswer: 280*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-36)\/(-39744)*92)\/2.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.026 + -0.474. Let n = -29 - -28.8. Which is the closest to n?  (a) 1\/2  (b) 5  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 30923238 + -9?\nAnswer: 3092322b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1460*m*r*v**4*w**3 - 2*m*r*v*w**2 + 3*m*v**2*w**2 - m - 3*r*v - 4*v**4*w**3 - v**2*w**3 + 49*v**2 wrt v?\nAnswer: -35040*m*r*v*w**3 - 96*v*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -4*v - 43. Calculate f(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 66\/41 < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -593*g**2 - 446*g**2 - 176*g**2 + 311*g**2.\nAnswer: -904*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -21*j**2 - 16*j - 5 + 3 - 9*j**3 - 2.\nAnswer: -(j + 1)*(3*j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 38796 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = u**3 + 2*u - 1. Let g be t(1). Suppose 2*v - 38 = 1791*p - 1794*p, 0 = 2*v - p - 38. Solve 10 - 24 = g*h + 2*r, 5*h + r = -v for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-g**2 - 2*g + 2*g)*(17*g + 34*g - 34*g)*(2 - 4 + 4).\nAnswer: -34*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 44750?\nAnswer: 2, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.15 - 3.15. Let k = g - -1. Let d = -5 + -6. Which is the biggest value?  (a) k  (b) 1  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -3*t**3 - 3*t**2 - t. Suppose -4*w + f = -5, 0 = -5*w - 0*f - 2*f + 3. Let u(j) = j**3 + j. Let g(z) = w*h(z) + 2*u(z). Is 12 a factor of g(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 2*x**2. Suppose -3*t + 34 = -4*k, 5*t - 52 = 2*k - 14. Let c(a) = 6*a - a - t*a. What is c(i(o))?\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (-1*sqrt(1584) + (sqrt(44) - -6*sqrt(396)))\/(-1*sqrt(36)*-3) + 1.\nAnswer: 3 + 13*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18826 = -370*v - 1436 for v.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -59*t - 3 - 5 = -33*t - 28*t - 5*l, -3*l = -3*t + 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*z - 3*z + 191 - 191.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 - (12 - 16) - 17.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 28927 + -29963. Sort g, -3, 3, -2, -5 in decreasing order.\nAnswer: 3, -2, -3, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 13632661 to the nearest integer?\nAnswer: 3692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/62  (b) -2  (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 22042.88 nanometers?\nAnswer: 22.04288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.06 in -4\/5, -3\/4, -0.82?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*n - 3*c + 18 = -7*n, 2*n + c = 10. Let m = 8 - 8. Solve -2*s + 10 = m, -2*s = 4*g - n*s + 14 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-95)\/(-171) - (22 + 12592\/(-576)).\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1155 and 56294601.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r + 5*r = -5*u - 14, 10 = -5*r + 5*u for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 9\/5 - 1\/(-5). Let a(r) = 294 + 0*r - r**2 + w*r - 286. Give a(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -19*s**2 + s - s + 14*s**2 to the form j*s + w*s**2 + r and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 1, r: 2, p: 1, b: 1, w: 2, j: 1}. Give prob of sequence ibj.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 1319894497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = 3*b + 10 + 53, -137 = -5*n - 3*b. Let c = -10 + 13. Solve -c*f + n = 2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2.0442 + -0.0442. What is the closest to -1\/5 in -0.09, -1, -0.4, r?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -8*h. Let g(o) = o - 1. Let n(c) = -d(c) - 10*g(c). Let y be n(5). Solve 2*f + y*t = 2*t + 10, 4*f + 2*t - 20 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 367 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 34 + -33.93. Which is the closest to i?  (a) 21  (b) 3  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = -3*x - 0*x + 1761, 0 = -2*v. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2603 minus 0.3?\nAnswer: -2603.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -377.5 + 4.\nAnswer: -373.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 8\/(64\/(-1544)) + (-6 - -2). Let d = 297 + a. Is 2 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2\/16*(-15 + (-2624)\/(-192))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*q**4 + 1912*q**3 + 228480*q**2 - 1912*q - 228484 = 0. Calculate q.\nAnswer: -239, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 88, 219, 456, 793, 1224, 1743, 2344?\n\"Answer: -t**3 + 59*t**2 - 39*t + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate t*x*y - 136*t*y**3 + 62*x*y**3 + 2*y**3 wrt x.\nAnswer: t*y + 62*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/6 + (120\/(-9) - -3). Calculate the remainder when 55 is divided by 5\/(v\/(-28))*1.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.06 times 2.528?\nAnswer: -0.15168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -47, -0.04, 0.2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 20 and 7420.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 69834 is divided by 21.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = h**3 + 6*h**2 + 6*h - 4. Let f be p(-5). Let a = f - -15. Solve 3*s + a = 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.4*-0.023587\nAnswer: 0.0094348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8)\/(-18))\/((-3)\/18)*3\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -6 - 9?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -h. Let o(g) = g + 2. Let n(u) = -4*u + 2. Let t(s) = 2*n(s) + 2*o(s). Give b(t(j)).\nAnswer: 6*j - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -19205740 divided by 5?\nAnswer: -3841148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 11001020022 (base 3) in base 2?\nAnswer: 10011011100001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 3*s - 1. Let o(j) = 4*j**2 - 8*j - 6. Let g be o(6). Let h be g\/24 - 6\/8. Suppose 0 = h*i + 4*x - 2*x + 5, 5 = -5*x. Determine c(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1225*q**6 - 1186*q**2 wrt q?\nAnswer: -147000*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/4)\/(615\/(-164))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13523*z + 13553*z + 0 + 0 - 40703*z + 13572*z.\nAnswer: -55*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -99230, -397469, -894522, -1590383, -2485046, -3578505?\n\"Answer: w**3 - 99413*w**2 - 7*w + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -14*r - 29. Let w be (-27)\/(-135)*(-6 - 9). Let b(a) = 5*a + 10. Give w*v(h) - 8*b(h).\nAnswer: 2*h + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 33098816 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 3127603 (base 9) in base 10?\nAnswer: 1672086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/(-14) - 486\/504)\/((-285)\/24).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = b**2 - 9*b - 9. Let q(s) = 3*s**3 + 9*s**2 - 3*s + 1. Let p be q(-3). Calculate m(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -8 + 22. What is the highest common factor of d and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*c - 6*c = 5*c - 36. Solve -2*o + 4*y + 3 = -5, 13 = c*o + y for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 152 and 2185?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in 14, 4, -4, 0.476, 9?\nAnswer: 0.476","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 107*i + 5 + 1 + 66*i + 143*i.\nAnswer: 316*i + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 15) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -300 divided by -150\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5 - 2. What is the lowest common multiple of s and 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 10878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -287154*h + 22 - 287121*h + 574218*h + 1780*h**3 + 2644*h**3 wrt h?\nAnswer: 26544*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w + 6*w - 5 = 4*c, 5*c - 45 = -4*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 2.3334953 * 0.3\nAnswer: 0.70004859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 116*a + 43*a + 159. Which is smaller: a or -3\/902?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor k**3\/6 + 730*k**2\/3 + 125554*k\/3 - 114090832\/3.\nAnswer: (k - 296)*(k + 878)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 57414 - 153815. Let n = c + 96378.9974. Let o = n - -22. Round o to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the third derivative of 0*q**5 + 0 - 7\/6*q**4 - 9*q**2 + 5\/112*q**8 + 0*q**3 + 0*q + 0*q**7 + 0*q**6. Find the second derivative of h(k) wrt k.\nAnswer: 300*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 13029*a**4 - 31494*a**3 - 30372*a**2 + 82488*a = 0. Calculate a.\nAnswer: -6874\/4343, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2279917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-20)*x*x*x\/(x*x**(6\/25)))**(-49))**27 assuming x is positive.\nAnswer: x**(603288\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -17, -14, -1, 28, 79?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in 1\/5, -32.6, -19, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -16*v**3 - 3*v**2 - v + 1. Let a be d(-1). Suppose 0 = -5*b - 4 + 19. Let x = b - -2. Solve k + 8 = i, x*k + 22 = 4*i - a for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -566*d*i**2 + 25*d*i - 2*i**4 - 26*i wrt i.\nAnswer: -1132*d - 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*w - 4*w + w)*(-4*w**2 + 3*w**2 + 2*w**2) + (-4393*w + 4393*w - 14*w**2)*(-4*w + 2*w + 0*w).\nAnswer: 27*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wccwwcw. What is prob of sequence wc?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4, 54, 192, 466, 924?\nAnswer: 1614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -61b28 (base 13) in base 4?\nAnswer: -222311200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 31317 divided by -10439\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 60683486 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -82 at most -80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -326*y**3 + 133*y**2 + 129485.\nAnswer: -978*y**2 + 266*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -5607, -5642, -5727, -5886, -6143, -6522?\n\"Answer: -4*h**3 - h**2 - 4*h - 5598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (1\/(-5))\/(189\/18756). Let c = k - -138\/7. Is 1 less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/15?  (a) 0  (b) 143  (c) -2\/5  (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 632 = -6*i + 10*i. Suppose -i*j = -162*j + 3896. Suppose -5*k = 4*q - j, 0 = 4*q + 2 + 14. What are the prime factors of k?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 4, p: 2, d: 7}. Give prob of picking 1 t and 2 d.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 3*c**2 + c - 4. Suppose 4*u = 4, -3*f - 2*u + 4 - 2 = 0. Suppose f = m + m - 10. List the prime factors of h(m).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 3*u, 2*b - 4*u - 39508 = -3*b. What is b rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 0.531871 millennia?\nAnswer: 53.1871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nz when two letters picked without replacement from jnz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + (2 - -5) + 5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 884331 is divided by 176751?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*n**2 + 3*n**2 - 2*n**2 + 3*n**2 + 19*n to q + v*n**2 + w*n and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (12\/(-10))\/(-1 - (-52)\/(-8)). Which is bigger: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 1430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/(((-242)\/132)\/(5\/10))\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that -1458*o**4 + 1400652*o**3 + 1416444192*o**2 + 358342772992*o + 28610744399872 = 0.\nAnswer: -2056\/9, 1646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the third derivative of -1\/8*n**3 - 1\/240*n**5 - 18*n**2 + 0*n + 0 - 1\/24*n**4. Find f such that g(f) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 198269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 72684 is divided by 176?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = -11*a - 6. Let k(f) = -2*f. Let j be k(a). Suppose 3*w - g - 3 = -j*g, 3*w - 2*g + 6 = 0. Solve -5*x + 15 = w, 3*t - 2*x = 4*t - 11 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 73672 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2566271 a multiple of 535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = h**3 - h - 1. Let w = 35 + -43. Let m be (-54)\/144 + (-83)\/w. Suppose -m = -2*z - 3*z. Let j(y) = -2*y - 1. Give z*t(v) - j(v).\nAnswer: 2*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2218\/695 smaller than 106\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1.2908 and 86.\nAnswer: 84.7092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (40\/((-360)\/18))\/(2\/(-9)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the third derivative of -d**7\/70 - 77*d**6\/20 - 5929*d**5\/20 - 12*d**2 - 6. Solve x(g) = 0 for g.\nAnswer: -77, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.8 - -0.2. Let l = 74 + 0. Let q = -74.3 + l. What is the biggest value in q, i, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 4, u: 2}. What is prob of picking 3 h?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 62822842?\nAnswer: 2, 1303, 24107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 424956, 849933, 1274930, 1699947, 2124984?\nAnswer: 2550041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = g**3 - 5*g**2 + 6*g - 6. Let d be p(4). Let u(s) = -12*s**d + 8*s**2 + 5*s**2. Let c(t) = 8*t**2. What is u(c(v))?\nAnswer: 64*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -111010100 + -110?\nAnswer: -111011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 132 and 170478?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 736?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/(x**(-15)*x))\/x)\/(x*x*(x*x**(-21))\/x*x)*(x\/x**(-22))**48 assuming x is positive.\nAnswer: x**1136","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 - 3)*(17*o - 3*o - 3*o)*(-11*o**2 - 10*o**2 + 10*o**2).\nAnswer: 242*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1111000 + 1001010010?\nAnswer: 222122010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1304)\/(-14) + (-12)\/84. Suppose 0 = -4*p - 2*g - 158, 4*p + 3*g + 70 = -s. Let r = 51 + p. Calculate the greatest common divisor of 2 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*k = -2*k - 170. What is the highest common factor of 51 and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*j**4 - 13*j**3 - j**5 + 14*j**3 + 2*j**5 - j**5 + 2*j**5 - 2*j**5 + 6*j**5 - 3*j**5 - 4*j**5 + (2*j**2 - 2*j**2 - j**4)*(-5*j + 4*j + 2*j).\nAnswer: -2*j**5 + 2*j**4 + j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**0)**(2\/69)*m*m**(-1)*m**(-1\/5)*m*((((m\/(m\/(m\/(m**(-1\/9)\/m*m))))\/m)\/m)\/m**5)\/((m\/(m*m**(-2\/13)*m*m))\/m**(-6)) assuming m is positive.\nAnswer: m**(-5407\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from oorooooorroooooo.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.4?  (a) -0.1  (b) -9\/8  (c) 5\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 13*f - 124. Let q be m(13). Let j be (-1 + 63\/q)\/((-2)\/480). Put 4, 5, j in increasing order.\nAnswer: j, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**3 - 6*z**2 - 17*z + 10. Let r be w(8). Suppose -14\/9*d + 4\/9 - 8\/9*d**r = 0. Calculate d.\nAnswer: -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -51\/274957 and 10\/7.\nAnswer: 1924699","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -85*m + 2*m**2 - 93*m + 0*m**2 + 177*m.\nAnswer: 2*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -x - 3*o - 2, 3*x + 20 = 5*o. Which is the biggest value?  (a) x  (b) 2\/9  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3752995 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -101*o + 2*o + 8542710000 = 0. What is o rounded to the nearest 1000000?\nAnswer: 86000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 2, x: 6, q: 1, f: 3}. Give prob of picking 4 x.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 84010 - 84010. Suppose -53 = 3*l + 5*z, 4*l + z + 35 = -13. Put -4, l, 6, w in ascending order.\nAnswer: l, -4, w, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*k = 18, 8510 = -3*i + k + 8533 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 97, 173, 291, 445, 629, 837?\n\"Answer: -s**3 + 27*s**2 + 2*s + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 156 = -3*z, 3*h = -0*z - 4*z + 184. Is h less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -1. Let x(p) = 2*p**2 - 6*p + 16. Let c(s) = s**3 - 3*s**2 - 8*s + 4. Let k be c(4). Let o(z) = k*v(z) - x(z). Factor o(w).\nAnswer: -2*(w - 2)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4.57?  (a) 13  (b) 5  (c) 116\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.06 and -2392037598297.\nAnswer: -2392037598296.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 847202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is m in 0*m + 0 + 2\/7*m**2 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*y**3 - 5*y**2 + y**5 + 5*y**2 + 4*y**5 + y**5 - 3*y**5 + (-y + y - y**2)*(2*y**3 - 4*y**3 + 0*y**3) - 10*y**5 + 0 + 0.\nAnswer: -5*y**5 + 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 947.2947 grams?\nAnswer: 947294700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**2. Let p = -2 + 2. Let f be 1 + p + 0 + 3. Let b(t) = -t - 5*t + f*t. Calculate b(r(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that -20*m**3 - 68*m**2 + 336*m + 144 = 0.\nAnswer: -6, -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 16773334 - -15?\nAnswer: 16773351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 10424 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: List the prime factors of 13445251.\nAnswer: 13445251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, -33, -1, -3.57 in ascending order.\nAnswer: -33, -3.57, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2311, -2398, -2487, -2578, -2671, -2766, -2863?\nAnswer: -2962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrrrrrr. Give prob of sequence rrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 24.7306 and -140104215.2?\nAnswer: 140104239.9306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34527 + 59531 = 532*h for h.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2.1  (b) 4  (c) 36  (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + 9 + (29 - 42)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 3*a = 0. Suppose -d = 2*m + 3, d + 1 = -2*m - 2*m. Let u(k) = 17 - m - 4 + k. What is u(a)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) be the second derivative of 42*s + 0 - 63\/2*s**3 + 147\/2*s**2 + 15\/4*s**4 - 3\/20*s**5. Suppose i(k) = 0. Calculate k.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 225 and 119250.\nAnswer: 119250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2 + -9a381?\nAnswer: -9a37b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.84 - -0.64. Suppose x - 5*y + 3 = -2, x - 3*y = -1. Which is the smallest value?  (a) o  (b) -11  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 55247 is divided by 9039.\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u**3 + 3*u**2 + 2*u. Let i be s(-2). Suppose 4*c = -i*c + 28. Calculate the remainder when c is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 20 + 40 = 0. Suppose -h - 3*j = -0*h + 7, c = 3*h - 3*j. Suppose 4*v + 3*i = 249 - 25, h*v - 86 = 5*i. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**2\/4 - 3055*y\/2 + 12236.\nAnswer: -(y - 8)*(y + 6118)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 8*y - 1. Suppose 0 = 4*d - 5*r + 14, -d + 0*r + 1 = r. Let a be v(d). What is the units digit of 3*6 - (a - -7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/11*g**2 + 8960\/11*g - 10035200\/11.\nAnswer: -2*(g - 2240)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -97, -80, -43, 20, 115, 248?\n\"Answer: j**3 + 4*j**2 - 2*j - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:55 PM and 3:43 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 1\/7, -0.0695, -1\/89?\nAnswer: -1\/89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22d3 (base 16) to base 2.\nAnswer: 10001011010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -128 + 126.5. Let o = -0.0111 + 2.0111. Which is the closest to 2\/5?  (a) q  (b) -0.5  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 137906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1 - 2\/1 - (-36)\/30. Let o = -3 - -2. Let i = o - -1. Which is the closest to i?  (a) -2\/17  (b) t  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*f**3 - 82*f**2 + 189*f - 20 = 0.\nAnswer: 1\/9, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b**2 + 8*b + 5. Let d be c(-7). Let s(z) = -z**3 + 3*z**2 + z - 1. Calculate s(d).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*q + 8*q. Suppose 4*k - 12 - 8 = q. Suppose k*s - 135 = -5*r, -r + 4*s + 35 = s. Calculate the remainder when 56 is divided by r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -800 divided by 5?\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 70 = -73, -5*f + 7 = -o. Solve -4*n - 2*b - 2*b - 4 = 0, f*n + 5*b = 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = a**2 - 4*a + 4. Let s be i(3). Solve k + s = -0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3131.221 times -2\nAnswer: -6262.442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Are -25\/58 and 0.3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -18353, -18354, -18355?\nAnswer: -18356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 109*o + 5. Let n(u) = -109*u - 4. Let w(s) = 3*n(s) + 4*x(s). Let h be w(11). Let v = -690 + h. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 42 and 405951?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7153343 divided by 97991.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + 0 + 6 + -2 + -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*r + 73 = 17. Suppose 9*z = -r*z + 3296. Does 7 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3497648 and 20708.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*w - 284 + 59. Let n be (1\/((-10)\/w))\/(9\/372). What is the highest common divisor of n and 124?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 570*l - 1155. Give j(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-77)\/385)\/((-2)\/70).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -665 divided by 17.\nAnswer: -665\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 63891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000057461 to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 71*l*q*v**2 - 2*l*v**2 - l*v - 24*q**2*v**2 - 7*q*v**2 + 6469*v**2 wrt q?\nAnswer: 71*l*v**2 - 48*q*v**2 - 7*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 35412 by -52.\nAnswer: -681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 710 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, -2, -4, 9, 0 in ascending order.\nAnswer: -4, -2, 0, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -46275931*k**6 - 72*k**2 - 75462?\nAnswer: -5553111720*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 4, p: 1, z: 6, k: 5}. What is prob of sequence zkz?\nAnswer: 5\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 27.7813+204923\nAnswer: 204950.7813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 94396 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6 + 9*f - 4*f - f**2 - 3 + 7*f + 5*f**4 to the form w*f + q*f**4 + t*f**2 + v + a*f**3 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00035718 rounded to five dps?\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 2*n. Let y = 4575 - 4572. Let o(t) be the third derivative of -1\/12*t**4 + 0 + 1\/2*t**y + 6*t**2 + 0*t. What is c(o(a))?\nAnswer: -4*a + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f and 2 a when four letters picked without replacement from aaaafaaaaffjjaaaaj.\nAnswer: 11\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**35*r**(-32\/7) assuming r is positive.\nAnswer: r**(213\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 95570*u**3 - 64882*u**3 + 161738*u**3.\nAnswer: 192426*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -10*(-2 - (3 + -1)). Let c = 241\/6 - j. Which is bigger: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(34)\/sqrt(2) + -4) + 1.\nAnswer: -3 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 108 + -70. Does 9 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -555 divided by 26534?\nAnswer: -555\/26534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2\/6)\/(2\/(-6)). Let h = 4 + -3. Suppose -441*d = -430*d + 15 + 40. Put j, h, d in descending order.\nAnswer: h, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -69*k + 68*k. Solve -6*h + 4*h + 8 = k for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (35 - 2*k + 0*k - 40)*(3014 + 403 - 478) in the form a*k + r and give r.\nAnswer: -14695","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2367335*i - 22007 = 2366962*i for i.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -9*a + 237. Let o(b) = -7*b + 234. Give 4*o(r) - 3*p(r).\nAnswer: -r + 225","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 56053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 19\/(38\/(-24)) - (2*1)\/2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 31622.809 to the nearest 100.\nAnswer: 31600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -k**3 - 6*k**2 + k + 1. Let w be t(-6). Let p(u) = -u - 3. Let d be p(w). Suppose 8 = -d*v - l + 31, l = 1. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 16165 + -58278. Let l = a - -42147.858. Let f = -35 + l. Round f to 2 decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 l when two letters picked without replacement from {s: 1, l: 2, g: 2, r: 6, n: 1, m: 5}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 78496 != -42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 1. Let d(b) = b - 1. Let h(r) = 12*r + 73. Let j be h(-6). Determine j*d(g) + 4*k(g).\nAnswer: g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 191481784?\nAnswer: 2, 13, 1841171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the third derivative of -f**6\/120 + f**5\/20 + f**4\/6 - f**2. Let r be l(4). Suppose 3*s = -r + 12. Solve -s*y - 15 = 5*v, 13 = -2*v - 4*y + y for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -7152\/43 at least -1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-30)\/(-45))\/((-4)\/9 + 0).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22654 is divided by 4575?\nAnswer: 4354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*d - 10 + 50. Factor -d*k + 135*k**2 + 45*k**3 + 20*k + 123*k + 5*k**4.\nAnswer: 5*k*(k + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -4*v. Let p(k) = k + 150. Calculate h(p(m)).\nAnswer: -4*m - 600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -65\/82044892 and 59\/29968.\nAnswer: 328179568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2566725?\nAnswer: 3, 5, 7, 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a, 1 v, and 1 s when four letters picked without replacement from {s: 1, y: 1, v: 1, k: 1, a: 2, h: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -2 * 12603\nAnswer: -25206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3831 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 718 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 2*a**2 + 4*a. Let b be i(4). What is the greatest common divisor of 16 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -21*p**2 + 36*p**2 + 2*p**3 - 16*p**2 - 1 - 2*p**4 to s*p**2 + k + u*p**4 + a*p + q*p**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*y = -24 - 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -48*j - 253 + 13 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 26.01 rounded to 0 decimal places?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.9 + 1.8. Which is the nearest to r?  (a) 1\/2  (b) -0.3  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3)\/((-15)\/(-4))*-5. Put 5, -1, r in ascending order.\nAnswer: -1, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -5*j - 29, s = 4*j + 2 + 14. Suppose r = u - 2*u + 8, 0 = 4*r - s. Solve u = 8*a - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -4 + 2*t - 2 + 0 + 5. Suppose 0 = 2*r - 2, -3*q - 2*r + 5 + 6 = 0. Let x(d) = 3*d - 4. Let f be x(q). Give h(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -aa4530 (base 11) to base 3.\nAnswer: -10022120012221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 290367 = x + 2*c + 290342, 103 = 7*x - 4*c for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = s**2. Suppose -2466*n - 52 = 5*x - 2467*n, -4*n + 28 = -5*x. Let u(c) be the first derivative of -2*c**3\/3 - 2. Calculate x*t(o) - 5*u(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mvwv when four letters picked without replacement from {b: 2, m: 4, w: 1, v: 2, o: 1}.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24930 divided by 2.\nAnswer: 12465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -4*x - 47. Let l be m(-19). 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: Suppose -42 = -4*l - c - 4, 47 = 5*l + c. Let h(q) = 208*q - 67*q - l - 72*q - 70*q. Determine h(11).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -7 and 47?\nAnswer: -329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -191677, 0.4, 0.5, -4, -0.5.\nAnswer: -191677, -4, -0.5, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that o**4\/3 + 106*o**3\/3 + 2809*o**2\/3 = 0.\nAnswer: -53, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0154138368 rounded to 6 dps?\nAnswer: 0.015414","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the third derivative of u**4\/24 + 4*u**3\/3 - 2*u**2. Let h be m(-5). Differentiate -1 - 5*j**3 + j**h + 2*j**3 with respect to j.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) be the first derivative of -2*i**3 - 1657. Let s(l) = -11*l**2 - 1. Calculate a(s(t)).\nAnswer: -726*t**4 - 132*t**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 - 4 + z - 14*z.\nAnswer: -13*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -28*a - 78. Let k be j(-9). What is the highest common divisor of k and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-462220)\/57300 - 52\/(-5). Let g = 22\/3 - 7. Suppose n*d - 8\/3*d**2 + 0 + g*d**3 = 0. Calculate d.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 13130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 183870 to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 21\/407, 0.4, -1\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -104209 + 213878. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -460252\/5 - -92051. Factor 57\/5*h + 12 - s*h**2.\nAnswer: -3*(h - 20)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.06 from 4.202271177541.\nAnswer: 4.142271177541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 0\/(12\/(-8 - -4)). Suppose l = -3*p - 0*p - 54. Let j be 18\/(-81) - (-57959996)\/p. What is j rounded to the nearest one hundred thousand?\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9 - (-5 + (-10 - -11))) + -7.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/12)\/(2\/(-24)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does -31\/6 = 1023281?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 1 = 14. Put -1, w, -4, 1 in increasing order.\nAnswer: -4, -1, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 - -1. Let m(h) = -133*h - 1060. Let t be m(-8). Sort t, -8, x, 3 in decreasing order.\nAnswer: t, 3, x, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -17 + 17.2225. Let h = -21.9855 - l. Let w = h + -0.492. What is w rounded to the nearest integer?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 88205 and 20155?\nAnswer: 355554355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 4, u: 5, g: 8}. Give prob of sequence guuu.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 16804684 and 676?\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (0 + (2 + -2 + sqrt(112))*-5)**2)*-5.\nAnswer: -13975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 73 - 2 - ((5 - -1) + (-27 - -1 - -27))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 268 - 266. Put 5, 0.1, b, 11 in descending order.\nAnswer: 11, 5, b, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qw when two letters picked without replacement from qqsw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 79.5 - 79. Which is the second smallest value?  (a) p  (b) 1  (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the first derivative of s - 1. Suppose 5*u + 2*u = 0. Let d(c) = -4 - 2*c**2 + 2 + 2*c + 0 + u*c**2. Give d(y) + 2*h(y).\nAnswer: -2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:34 AM and 10:47 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 16106906*s**2 + 22085*s. Let g(q) = -32821*q**2 - 45*q. Determine -4417*g(h) - 9*v(h).\nAnswer: 8203*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 49699377 and 3823029.\nAnswer: 49699377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10110212220 + 3301?\nAnswer: 10110222121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 51 - 2a4?\nAnswer: -253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -41967489 minus 8?\nAnswer: -41967497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 27427, 0.4, -0.4.\nAnswer: -1, -0.4, 0.4, 27427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1.1?  (a) 0.5  (b) 0.4  (c) 6\/5  (d) 0.3  (e) -98\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6 + 21. Let a(b) = 9*b + 1. Let l be a(1). Suppose l*o = 13*o - 168. What is the remainder when o is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 83 or 6?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -51.999923 + 52. What is p rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 864127 is divided by 431811?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(13) + -2 + 3))**2 - 5*(3 + sqrt(1300)).\nAnswer: -32*sqrt(13) + 111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4699993*n**5 - 8*n**2 - 139057*n - 2.\nAnswer: 281999580*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 21\/63 - (-880)\/6. Factor -66 - 2*q**2 + d - 2*q - 77.\nAnswer: -2*(q - 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 253618.9 days?\nAnswer: 365211216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -131 + 133. Let d(l) = 33*l**2 + 28*l + 3. Let a(o) = -33*o**2 - 29*o - 2. Let f(v) = i*d(v) + 3*a(v). Find the second derivative of f(t) wrt t.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 159 - 19 = 5*w, -3*w = -5*u - 71. What is the remainder when w is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*q - q + 114 = -p + 31, 4*q - 532*p = -529*p - 37 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 9.216 - 11.216. Let y = -3\/5 + -1\/15. Which is the biggest value?  (a) -2\/7  (b) y  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*v**2 + 481180*v - 481185 = 0. What is v?\nAnswer: -96237, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 2, y: 1, n: 6, t: 2, f: 6, d: 1}. Give prob of picking 1 t, 1 f, and 1 y.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1452916?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 235 + 715?\nAnswer: 94a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v**2 + 5*v + 3. Let y be m(-3). Let l = -52833 - -52836. Sort l, y, -9 in decreasing order.\nAnswer: l, y, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 17272 and 272?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjynkynjyiinyksk. What is prob of picking 1 n and 1 k?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (-3*(-99)\/(-81))\/((-1)\/(-6))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 31076463*t - 29113097.\nAnswer: 31076463","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 1620\/189 + 16\/(-2) - 43458\/(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from paappaapapappa. What is prob of sequence pa?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-10)\/(-6)*((-98)\/35 - -4). Suppose -w*v + 51 = 21. Solve 8*c = 3*c - v for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -3*v - 9 - 3 - 6 + 4. Let f be m(-6). Put -4, f, 5 in increasing order.\nAnswer: -4, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve g = -2*g + 4*c - 14, 0 = -3*g + 3*c - 12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (45\/15)\/9*-1*(-3 - 0). Let n(o) = -58*o + 67. What is n(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(114)*1*-5 - (sqrt(114)*1 + sqrt(114))*1)\/(sqrt(576)\/sqrt(6) - ((sqrt(486) - 1*sqrt(486)) + sqrt(6)))*-6.\nAnswer: 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1378693 and 119768?\nAnswer: 121324984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 32\/6 - 1\/(-12)*-4. Let u be ((-28)\/4 + v)*1. Suppose -2*o + o = -1, o = 2*h + 13. Sort 4, -1, u, h in descending order.\nAnswer: 4, -1, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + sqrt(15)\/(sqrt(2904)\/sqrt(8)) + (((5*sqrt(225))\/sqrt(5))\/sqrt(9))**2.\nAnswer: sqrt(5)\/11 + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v**3 + 7*v**2 + 5*v + 3. Let w be o(-6). Let q = 11 + -15. Let k = q + w. Solve -3*i + 0*i + 8 = 4*g, -i - k*g + 10 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 57590621.\nAnswer: 11, 193, 27127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*t, 3*m + 3*t + 2*t - 6 = 0. Let y be 4\/6 - 8\/(-6). Suppose 0 = x - m*b - 91, -b + 166 = y*x + 3*b. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 162577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1423 - 3?\nAnswer: 1420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - r**2 - 2)*(35 + 12 - 11).\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) be the third derivative of -m**6\/40 + 727*m**5\/20 + 1457*m**4\/8 + 729*m**3\/2 + 2*m**2 + 2*m + 2989. What is a in w(a) = 0?\nAnswer: -1, 729","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23960564?\nAnswer: 2, 41, 193, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -50, -71, -92?\n\"Answer: -21*r - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -252 + 96. Let q = c + 161. Let m(t) = t**2 - 6*t - 7. Determine m(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5714102442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m - 33*h + 1630 = 0, -13641*h + 690 = -2*m - 13627*h for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -772*2\/6*3. Let s = i + 526. Let u = s - -427. What is u rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 3*y - 15 = 0. Calculate the remainder when y is divided by (-1 - -3) + -5 + 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 354 is divided by 90?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**1)**21)**(-4)*((k\/k**(-1))**43)**(-48) assuming k is positive.\nAnswer: k**(-4212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -376*b - 7890. Determine w(-21).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 27.01978672 to 3 dps.\nAnswer: 27.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -11*(-3 + (-3 - 9)). Let y = 174 - x. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100023211 (base 4) to base 5.\nAnswer: 4110102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q**2 - 67*q + 808. Give n(35).\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = 17 - 1. Suppose t*a = -a + 85. Let f(q) = q**3 - 5*q**2 - 6. What is f(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 3*d**3 + 568*d. Let g(r) = r**3 + 189*r. Determine 8*g(b) - 3*v(b).\nAnswer: -b**3 - 192*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -2*i**2. Let d(n) = -5*n**2. Let k(y) be the third derivative of y**5\/15 - 2*y**2. Let c = 50 - 46. Let b(h) = c*k(h) + 3*d(h). Calculate q(b(p)).\nAnswer: -2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -4*b + 9. Suppose -b = -6*l + l. What is the remainder when 1 is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, e: 1, g: 3, l: 4, d: 7}. What is prob of sequence lg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h**3 - 2*h**2 - 3*h + 2. Let b be d(3). Let v(w) = 118*w - 66*w**b - 118*w. Let c(r) = -3*r**2. Determine c(v(y)).\nAnswer: -13068*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -470*j + 233*j + 239*j - 85 = -11*y, j = y - 3 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Put together -1066227836 and -1.5.\nAnswer: -1066227837.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 + 5 - 9*y - 5)*(-35 - 8 - 16) to h*y + v and give h.\nAnswer: 531","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-30)\/(-40)*-20 - -13. Let v(y) = y**3 - 8*y**2 + 9*y - 12. Let r be v(7). Put r, a, 46 in descending order.\nAnswer: 46, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -54, -8, 10 in decreasing order.\nAnswer: 10, 0, -8, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.334 times -0.1576?\nAnswer: -0.0526384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*j - 4*j - 8 = 0. Suppose 0 = -t - 4*y + 31, 0 = 2*t - j*y + y - 17. Suppose 0 = -4*b + i + 17, 6*b - b - 23 = 3*i. Solve -b = 3*p + t for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -3*r**3 - 3*r**2 - 4*r - 2. Let t be s(-1). Suppose 2*z - 2449 = -5*m, -t*z + 973 = 2*m + z. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 207*c**3*z**2 - 785*c**3 - c**2*z**2 + c**2 + 55902*c*z wrt c.\nAnswer: 1242*z**2 - 4710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 102 >= 178?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b**2 - 5*b + 2. Let l be a(5). Let h(z) = -l - z + 2. Let y(x) = -4. Let m(j) = -j - 11. Let g(p) = 4*m(p) - 11*y(p). Give h(g(c)).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6859997 to the nearest integer?\nAnswer: 2619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 961548855.\nAnswer: 3, 5, 31, 157, 13171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3.17 - -3.07. Which is the nearest to o?  (a) 0.5  (b) 5  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**3 + 5544702*c**2 - 49902156*c.\nAnswer: -2*c*(c - 2772342)*(c - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 162 + 434 = 0. Let b be 2\/(-8) - u\/16. Suppose g = b*g - 30. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2064139300 to the power of 1\/5, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -730 = -41*j - 4*d, 3*j - 84 = -2*j - 961*d + 958*d for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 1349 = 3*h + 232, -3*f + 2*h + 842 = 0. What is the highest common divisor of f and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h**5 + 630*h**4 - 28653*h**3 + 54810*h**2 = 0.\nAnswer: 0, 2, 63, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -12*k**2 - k + 3. Suppose 1292*z = 1353*z - 366. Let i(u) = -13*u**2 - u + 3. Calculate z*i(b) - 7*f(b).\nAnswer: 6*b**2 + b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 303 minutes before 1:00 PM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 90 = 4*b - 86, -4*b - 48 = 2*p. Let q = 47 + p. Suppose -5*v + 146 = -0*n + 2*n, 3*v - n - 81 = 0. Calculate the remainder when v is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5644 + 33192 = 1022*o for o.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the third derivative of 7*d**5\/120 - 13*d**3\/6 - 7*d**2. Let t(g) be the first derivative of z(g). Let u(f) = -f. Calculate t(u(b)).\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in one fifteenth of a day?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 238.2 + -12.2. Let x = -622 + h. Let p = x - -396.000000626. What is p rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hrnn when four letters picked without replacement from {r: 2, w: 1, n: 6, h: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2825*n + 2896*n - 6233*n.\nAnswer: -512*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -3*w**2 - 14*w - 10. Let c be b(-3). Solve -c*i - 3*a = -27, -18*a + 13*a + 20 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*y + 5*y + 317*y**3 + 6615*y**2 - 6615*y**2 - 11*y.\nAnswer: 317*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000035396 to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 38156 + -38145. Calculate the remainder when g is divided by 0\/(-1) - (0 - 7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is b7460 (base 13) in base 5?\nAnswer: 41032204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 2*p**3 + 16*p**4 - 28*p**4 + 15*p**4 - p**2. Let j(d) = -25*d**4 - 16*d**3 + 7*d**2. Let y(c) = -51*h(c) - 6*j(c). Factor y(m).\nAnswer: -3*m**2*(m - 1)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 5*c = -1417, 2*c = 4*n - 2577 - 3019. Calculate the lowest common multiple of n and 5334.\nAnswer: 58674","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -4*(0 - (-1)\/2). Let v(p) = -p**3 - 2*p**2 - 3*p - 2. Let q be v(w). What is the third derivative of 5*z**4 - 2*z**2 + 3*z**2 - 2*z**q - 2*z**4 wrt z?\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 487 a factor of 5453561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 42 - -33. Let b be (-6)\/(-4) - s\/(-10). Suppose -5*g + b = -1. Solve -g*a - 10 = -4*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 413 + -5367\/13. Let f(n) be the second derivative of -q*n**2 + 1\/195*n**6 + 0 - 5\/39*n**3 + 15*n + 1\/130*n**5 - 1\/26*n**4. Find h such that f(h) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6160 and 462308?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -44, -111, -222, -377, -576, -819, -1106?\nAnswer: -1437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 11.661651 times 4.5\nAnswer: 52.4774295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/(-1*6)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 159 - 215. Let p be m\/(-14) - (-5)\/((-15)\/5532). Round p to the nearest 100.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-20)\/7)\/(7\/(-49)). Suppose 4*v - 22 = 5*u, -v - 7 = -2*u + 7*u. Let r = f - v. List the prime factors of r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (70\/28)\/((-2)\/4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 125 is divided by (-3 - (5 + -7)) + 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2237 - 2217. Solve -5*x - w = -5*j, 5*x - 10*x = 5 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -21.3 less than -5.80891?\nAnswer: 15.49109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*z - 76 + 4. Let f = z - -26. Solve -4*k + f*v - v - 12 = 0, 5*k + 4*v = -36 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4\/17, 0.2, -1\/5, 2\/15 in decreasing order.\nAnswer: 4\/17, 0.2, 2\/15, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 27\/(-204)*(-1)\/(-1). Let w = f + -2\/17. Let m = 39.2 - 39.3. Which is the nearest to w?  (a) -1  (b) m  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4142546 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 3 - 2)*(162 - 162 - 22*t) - 6 - 8*t + 6 - t + 0*t + 6*t as v*t + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 2*c - 15. Let n be y(7). Let s be (n - -4 - -2) + 0. Find b such that 0*b**2 - 4\/7*b**4 + 0*b - 2\/7*b**3 - 2\/7*b**s + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0 + -2 - (5 - 9). Let i be (-1 + x)*14 + -2. Is 111*(3 - 32\/i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4283842.285 rounded to the nearest 100000?\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -7*u**3 + u**2 - 153*u + 153. What is m(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2799?\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(7) + (sqrt(700) - sqrt(28)))**2.\nAnswer: 3402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - 21) + (119 - -41) + -194.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*b = 15*b - 4*z - 6879, 6879 = b + 4*z. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26913936 is divided by 154.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22588958.\nAnswer: 2, 7, 1613497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*r - 4*u + 264, -r + 722 = -3*u + 652 for r.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 271 * 0.042.\nAnswer: 11.382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 65\/19 - 1555\/399. Let c = 68\/231 + p. Let g be -2 + 6\/3 - 2. What is the second smallest value in g, c, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - (-11 + 4)) + 1 + -3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1 + 0. Let t = 49\/65 - 2\/13. Let b = 1 + 0. What is the closest to d in -0.1, b, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 33.3 + -33. Let d = -1446 + 1451. Let h = 4 + -4.05. Put z, d, h, -5 in decreasing order.\nAnswer: d, z, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 44 and -1*(0 - 110\/25*5).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 70*h**3 - 101*h**2 + 221*h - 46. Give d(2).\nAnswer: 552","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + 5 + -1 + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -177*o + 181*o = 296. Let s(r) = -7*r - 268. Calculate the remainder when o is divided by s(-42).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f**4 - 5556*f**3 + 106816*f**2 - 270336*f = 0. What is f?\nAnswer: -1408, 0, 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 20 + 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -h**4 - 1790*h - 695.\nAnswer: -4*h**3 - 1790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = -32 + 2. Suppose 0 = 4*w - 10 - i. What is the least common multiple of 2 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -8  (b) -35  (c) -3\/7  (d) 0.4  (e) -6  (f) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from ekkeweeekkkkkekkk?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -279 = -5*l - 4*o - 104, 4*l - 136 = -4*o. Let n = 0 + l. Is n a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = k**2 - 4*k + 1 - 3*k - 2*k - 2*k**2. Let o be q(-8). Suppose 3*h - 12 = o. Is h a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-30)\/20)\/(((-567)\/(-12))\/(-9))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*q**3\/7 - 508390*q**2\/7 + 4614238218*q + 143111187954.\nAnswer: 2*(q - 127113)**2*(q + 31)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 4185605011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32899247 is divided by 144?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 372813*v**4 + 2157965 wrt v.\nAnswer: 1491252*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 69 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3 and 556.\nAnswer: 1668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -2*h**3 - 4*h**2 - 3*h. Let x = -1 - 2. What is the remainder when (2 - (-1 - x)) + 11 is divided by k(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 1 + 0)*(-5 - 5*z + 0*z + 3) + 2*z - 4*z + 0*z.\nAnswer: 13*z + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 64, -1, -155 in decreasing order.\nAnswer: 64, -1, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 39 + 37 + 42 - 4*u - 102 in the form i + k*u and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53*s - 72 = 49*s. Calculate the highest common factor of 4 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:00 AM and 10:14 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-14)\/3*3)\/((-40)\/20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 207.3 in -3, 12, 5\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.12 + -4.88. Let t = 3.96 + 0.04. What is the second biggest value in -1\/5, y, t?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14)\/15*(-6)\/7*-5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) -121\/2  (b) 3  (c) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2814209.666 rounded to the nearest one hundred?\nAnswer: -2814200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 141849040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s**2 - 4*s + 5. Let w be q(-5). Suppose w = -214*p + 215*p - 157. Calculate the remainder when p is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3415?\nAnswer: 5, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - -11 - 42) + (-1 - -4) + -4\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*g + 135 = 27. Solve 4*t + g = 32 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -45376*r**2 - 1070*r - 214169465 wrt r?\nAnswer: -90752*r - 1070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 4, -2, 3\/20, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -3, 1\/1763, 4, 1\/2, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (((-65664)\/672)\/19)\/(2\/21)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 536*g*o + 534*o wrt g?\nAnswer: 536*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -29 - -50. Calculate the remainder when 12\/(-18)*(-117)\/2 is divided by i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 12184 + -7791. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 158*q - 471. Let a be p(3). Solve a*x + 430 = 439 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-15 + 1 + -8 - 2) + 2 - 78\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (360\/80)\/(12\/(-40))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 23, 27, 31, 35, 39, 43?\n\"Answer: 4*g + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 101*v*x**2 + 2*v*x + 157*v - 34*x**2 - 555*x wrt v.\nAnswer: 101*x**2 + 2*x + 157","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 521658, 521708, 521758, 521808, 521858, 521908?\n\"Answer: 50*y + 521608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.1099996136 + 0.11. What is n rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f**5 - 998662*f**4 - 31955328*f**3 - 95860288*f**2 + 2556398080*f - 6391027200 = 0 for f.\nAnswer: -499299, -20, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -2\/31, -1\/2, 14\/205, -18, -4?\nAnswer: 14\/205","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -12 + 9 + -4 - -9\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -r**3 - 27*r**2 + 236*r + 173. Give c(7).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2 + -4d?\nAnswer: -4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 3\/8 of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z**3 - z**2 - 1. Let x(a) = -5*a**3 - 7*a**2 + a - 3. Let q(k) = 6*u(k) + x(k). Let n = -81 + 94. Calculate q(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*c = 112*c - 1488 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (((-9)\/(-1))\/(-3))\/(-1*21\/273)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2221193.\nAnswer: 13, 61, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4604457 millennia to decades.\nAnswer: 46.04457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**3 - 19*q**2 + 50*q - 31. Let h be o(17). Differentiate 242*i**4 - 36 + 36*i - 47 + 9*i - h*i**4 wrt i.\nAnswer: 4*i**3 + 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 8528, 8525, 8512, 8483, 8432?\n\"Answer: -l**3 + l**2 + l + 8527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 11 = -w, -2*k + 6*k + 19 = w. Suppose 2*c = -5*x + 10, 0*c + 2*c = -3*x + 6. What is the smallest common multiple of x and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -5*s**2 - 4*s - 4. Determine q(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 4, d: 7, g: 3}. What is prob of picking 4 d?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -6 less than or equal to -37\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-24)\/16*(-16)\/6. Suppose 0 = -y*j, -5*z + z + 3*j = 344. Let i = z + 167. Is 27 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 82 = -0*l + 2*q, -5*l - 5*q - 170 = 0. Let p = l - -34. Solve 2 = 4*r - 7*o + 2*o, -p = 3*r - o for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6 + 11. Let k = 5 - t. Let y = 5\/77 - -57\/308. Which is the biggest value?  (a) 2\/7  (b) y  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -21323031203 (base 4) to base 16.\nAnswer: -27b363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -8, 196, 516, 952, 1504?\n\"Answer: 58*d**2 + 30*d - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 234 is divided by 65?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fsw when three letters picked without replacement from {t: 1, r: 1, s: 2, w: 3, o: 3, f: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -7*x + 11. Let m be k(1). What is the hundreds digit of (4\/m)\/((-7)\/(-2086))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*((sqrt(49) + sqrt(147)\/sqrt(3))*-1 + sqrt(49) - 5*sqrt(98)\/sqrt(2)))\/(sqrt(175)*6 - -2*sqrt(448)))**2.\nAnswer: 1575\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = c**3 + 25*c**2 - 351*c - 32. Let f be a(-35). Factor -8 - 8\/3*r + 2*r**2 + 2\/3*r**f.\nAnswer: 2*(r - 2)*(r + 2)*(r + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*z**4 + 48*z**3 - 180*z**2 + 16*z + 240.\nAnswer: 4*(z - 2)**2*(z + 1)*(z + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5268.\nAnswer: 2, 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1035 + 1096. Let l(s) = 10*s**2 + s - 1. Let p be l(-5). Calculate the greatest common factor of p and o.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -210*x - 503*x + 29946 = 0 for x.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - z**2)*(-z**2 + z**2 - z**3) - 2*z**2 + z**3 - 103*z**5 + 6*z**2 + 99*z**5.\nAnswer: -3*z**5 + z**3 + 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 5*k = -39005, 4*i + 7*k - 5*k - 31214 = 0. What are the prime factors of i?\nAnswer: 2, 3, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2, -3, -2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*d*q*t - 75*d*t**2 + 3*q*t**2 - t**2 - 6*t with respect to d.\nAnswer: -3*q*t - 75*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g - 3*z - 20 = 0, -340*z + 10 = 2*g - 342*z for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 5*s + 4*q - 11, 2*q + 20 = 3*s. Let l = 1048009 - 736009. Suppose s*b = 10*b - l. What is b rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 34aa70 (base 15) to base 12\nAnswer: a14536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - -80705.992306531.\nAnswer: 80704.992306531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = r**3 + 4*r**2 - 21*r - 4. Let w be y(-7). Let o be ((-54)\/(-27))\/(w\/6). Put 2, 7, o, 3 in increasing order.\nAnswer: o, 2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) be the first derivative of -4\/3*m**3 + 10*m**2 - 16*m - 136. Factor v(x).\nAnswer: -4*(x - 4)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -z**3 + 1. Let l(m) = 10*m**3 + 3*m**2 + 8. Determine -2*l(t) - 18*y(t).\nAnswer: -2*t**3 - 6*t**2 - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8 - 3. Suppose 1 - t = 4*r. Which is bigger: 3\/10 or r?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2525376 < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.1 and 0.07465128543108.\nAnswer: -0.02534871456892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = -3*l, -4*l = -908*a + 905*a - 31 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(204) - sqrt(204)*-2)*4)\/sqrt(12).\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) be the first derivative of -10*w**4 - w**3\/3 - w**2\/2 - w - 1. Is 6 a factor of q(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/14)\/(48708\/(-18942)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1080.88 - -1081. What is the nearest to m in 0.2, 4, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/2 - 11\/11. Suppose -4*h + 4*c = -36, -h - 5*c + x = 9. Let z be (-1)\/(-2) + 118\/4. Calculate the highest common divisor of z and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/(-16)*9\/(-18)*(-48)\/22?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -401414, -803571, -1205728, -1607885, -2010042, -2412199?\n\"Answer: -402157*f + 743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the first derivative of 4*l**4 + 2*l**3\/3 - 29*l + 12. Find the third derivative of x(r) wrt r.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 220746 + -220746.00177077. Round w to 5 dps.\nAnswer: -0.00177","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4\/11*b + 2\/11*b**2 - 6\/11.\nAnswer: 2*(b - 3)*(b + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:25 PM and 3:49 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2 + 1120?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 8 = -4*g + h, 8 = -4*h. Let q(b) = -5*b - g*b + 14*b. Let u(t) = 6*t**2. Calculate q(u(s)).\nAnswer: 30*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17 is divided by 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 16734 and -0.3.\nAnswer: -5020.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(78)*3)\/sqrt(6) - (sqrt(78)\/(-4*sqrt(486)))**2.\nAnswer: -13\/1296 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 74 + -72. Let n = 0.02 - 2.02. What is the second biggest value in b, -2\/5, n?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/((-6)\/14) + (-7)\/21. Solve 10*h = s*h - 24 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2998 = n - 4*w, n + 4*w - 1142 - 1896 = 0. What are the prime factors of n?\nAnswer: 2, 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34492247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 12590934779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -3 + 3 - (-22360)\/2. Suppose 49180 - v = 4*j. Round j to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2688000 divided by 1680?\nAnswer: -1600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2854\/(-8) - 1 - (-10)\/(-40). Let o = 6804\/19 + j. Which is the closest to o?  (a) 5  (b) 1  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 949982, 7599859, 25649526, 60798875, 118747798, 205196187?\n\"Answer: 949982*m**3 + 3*m**2 - 6*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 496037.821 - 495580. Let r = x + -365.820926. Let m = 92 - r. Round m to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -304*b + 49246. Calculate g(162).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 334334 (base 5) to base 6\nAnswer: 130500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -18977215.36 to the nearest 1000.\nAnswer: -18977000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*o = 4*o - 18. Let x be (-5 - o) + (175 - 0). Suppose -4*f - j - 39 + 104 = 0, -f - 3*j = -19. What is the greatest common factor of x and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 863 = 9*f - 1657. Let h be f\/(-21)*(-24)\/16. Solve -5*g + y = -12 + 32, 5*y + h = g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 259 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 139 - 134. Is 25\/4 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 10071344 and 136?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.2, 0.4, -0.3, 2\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yyyyyyyyyyyyyyyxyy.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*p - 3*p + 5*p)*(8 + 16 + 12)*(4*p + 6*p + 0*p).\nAnswer: 1800*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 36.4 - 36. Let n = 0.2 - 0.6. Which is the biggest value?  (a) -3  (b) k  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*m**2 - 5*m**2 - 2*m**2 - 3*m**2 to y*m + p + l*m**2 and give l.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -g + 4. Let h be b(2). Suppose h*i - 3*o + 32 = 0, 2*i = -i - 3*o - 18. Calculate the remainder when 25 is divided by i\/(-4)*(-168)\/(-30).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ohoh when four letters picked without replacement from oophoohoppooooo.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -792*f - 1192. List the prime factors of g(-15).\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(-3)*z**(2\/17))\/(z**4\/z**5) assuming z is positive.\nAnswer: z**(-15\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -5, -2, -1 in decreasing order.\nAnswer: 3, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -723*n**3 - 48*n**2 + n + 1520 wrt n?\nAnswer: -4338*n - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 108886 to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 742998455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-384)\/30)\/(10\/(-25)). Solve -3*d + q = -4*f, 1 = -2*d - 4*f - 11 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -2 - 9\/(36\/(-40)). Find the common denominator of 12\/9*234\/80 and (-625)\/70 - w\/(-4).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3\/188 - 597\/2068. Suppose 0 = d + s - 4, 0*s + 4 = -d + s. Which is bigger: d or k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**2 - 7*g + 10. Let n be j(2). Put n, 21, 5, -5 in decreasing order.\nAnswer: 21, 5, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -45*h**5 + 2755587*h**4*y**3 - h*y**3 - 30*h*y**2 - 3323*h - y**3 - y**2 wrt h.\nAnswer: -900*h**3 + 33067044*h**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2 + (-4)\/(-2) - (1 - 1). Suppose -5*r = -5*f + 40, -2*r + 3*f - c = -4*r. What is the tens digit of r\/(1 - (-5)\/(245\/(-51)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q**5\/11 - 8922*q**4\/11 - 11322*q**3 - 115118*q**2\/11 + 2240640*q\/11 - 2881656\/11 = 0 for q.\nAnswer: -4447, -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 11222546 to the power of 1\/3, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-63 - 13 + 11)*((0 - 2 + 0)*(0*j - j + 2*j) + j - 2*j + 2*j) to the form p + t*j and give t.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -278*a**3 - 8*a**2 - 5*a + 3. Let x be 34\/(-5) + (-2)\/10. Let d be t(x). What is d rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 18242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = 5*d + 30 - 4, 0 = -5*t - 5*d - 30. Let u(b) = 34*b**2 + 4*b + 2. Let s be u(t). Suppose -3*w = -3*c - 207, 2*w - s = -0*c - 2*c. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.16 + 0.04. Suppose -d = 3*g + 3 - 8, 2*d + 12 = 5*g. Let o = 1 + d. What is the second biggest value in l, o, -3\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 46608 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (34\/4)\/(-1) - (36 - (-1350)\/(-36))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-24)\/14*(-7)\/2. Is t at most 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4\/((-3)\/((-12)\/(-104)))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*x + 4 = -4*x. Suppose x*y - a = 22, 5*y - 9 = -4*a + 20. Calculate the remainder when 24 is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 = -h - 2*h. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = -0*z - 24. Let k(o) = -2*o + 9. Let q be k(z). Let n(p) = p**2 - 4. What is n(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/4 of a milligram in micrograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -1382*i - 8277. What is c(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r**2\/7 + 21568*r\/7 - 58147328\/7 = 0. What is r?\nAnswer: 5392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = p**2 - 646. Let j be c(0). Let m = j - -442. Let x = m - -473. List the prime factors of x.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12 + 94 - 771 - 883)*(-p**4 - 2*p**3 + 2*p**3).\nAnswer: 1548*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 15*w**2 - 4*w - 1. What is the least common multiple of n(-1) and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -929.92 rounded to zero decimal places?\nAnswer: -930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 265976415 and 2053.\nAnswer: 2053","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that -955464679107842*l**2\/9 + 87428356*l\/9 - 2\/9 = 0.\nAnswer: 1\/21857089","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 23 = -49. What is the units digit of o\/(-14)*(-385)\/22?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f. Suppose 9*t - 3*t + 54 = 0. Calculate o(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 6 + 1 = 0. Let w(b) = b**2 + 6*b + 7. Let p be w(m). Suppose -p*z + 33 = z. Calculate the smallest common multiple of z and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -3*(-6 + 1)\/30. Suppose -3*w - 15 = -6*w. Let k(y) = -y**2 + 5*y + 3. Let u be k(w). Which is the closest to 2\/5?  (a) s  (b) 0.2  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -107  (b) 2\/7  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*z - 119 = -17. Let o be ((-90)\/(-8))\/(z\/(-16)). Suppose -8*k = -o + 6. Solve -r = 4*y + 20, k*y + 6*r = 4*r - 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*m + 3639 = -3231. Suppose -2*c = 2*z - 1216, 757 + m = 2*z + 3*c. List the prime factors of z.\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-16 + 23 + -5)\/((-16)\/112)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -34*h**3 + 3*h**4 + 2*h**2 - 1 + h - h + 33*h**3 in the form q*h**4 + k*h + p + w*h**2 + d*h**3 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2337\/16 + 146. Is 0 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t - 3*a - 307, -4*t = -0*a - 5*a - 301. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m**2 + 1. Let q(h) = 4*h**2 + 6 - 3*h**2 - h + 3*h. Let s(n) = q(n) - 5*r(n). What is s(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 158997 is divided by 5678.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.8826 to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-1\/4)*b)**(-7\/2)*b\/b**13*b**(-1\/5))**(1\/9) assuming b is positive.\nAnswer: b**(-593\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*s + 7 - 4*s + 62 + 143.\nAnswer: -24*s + 212","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 803321918?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 9*w - 4. Let s(u) = -5*u + 2. Suppose -j - 52 = -4*t + j, 0 = -4*j + 16. Suppose 4*k - q = -t, -5*k - 3*q + 4*q = 20. Calculate k*s(p) - 3*m(p).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d\/d**(-1\/3))\/(d**(-4\/7)\/d))\/(d*(d\/(d*d*d**(2\/11)*d))\/d*d*d**(-2\/21)\/d) assuming d is positive.\nAnswer: d**(68\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 52.5 - 52. Let a = 9993 - 9994. Sort a, -0.64, p in increasing order.\nAnswer: a, -0.64, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 97 and -3425375?\nAnswer: -332261375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 9*i - 28. Suppose q = -2*q + 15. Suppose 5*l - l + 4*p = 68, 4*p = q*l - 130. What is the lowest common multiple of l and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o = 4*w + 16, 2*w = 3*o - 19 + 29 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 6222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*a + 55*a = 56430. What are the prime factors of a?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9 - 15. Let x(d) be the second derivative of 1\/6*d**3 + 0 + 0*d**2 - 2*d. Give x(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -703 + 2194\/3. Let n = -28 + g. Determine f so that 1\/3*f**2 - n*f + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 5396 = 3*r - 1650, -4*r = 2*o - 9404. What is the greatest common divisor of 50 and r?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 4*k - 156 = 0, -312 = -3*o - o + k. Let p = -75 + o. Solve 0 = -p*r - 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 248571403?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the third derivative of -7\/6*g**5 + 4*g + 0 + 2*g**4 + 16*g**2 - 4\/3*g**3. Factor n(q).\nAnswer: -2*(5*q - 2)*(7*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a**3 + 25*a**2 + 26*a + 21. What is t(-24)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -58\/1526161 and 61\/41657?\nAnswer: 16787771","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -48574344 by -104.\nAnswer: 467061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 3*j**3 + 190*j**2 - 2*j. Let b(h) = -5*h**3 - 380*h**2 + 5*h. Let s(u) = 2*b(u) + 5*r(u). Factor s(l).\nAnswer: 5*l**2*(l + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i = -i - 2. What is the closest to -1\/3 in -0.3, i, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 2\/13  (b) -1\/2  (c) 2\/21  (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -18608751 or -18608759?\nAnswer: -18608751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(6050)*-3 + sqrt(50))\/sqrt(1440).\nAnswer: -8*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -22 + 18. Let s = q + 4. Which is smaller: s or -1\/62?\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 4 from 17200.0784.\nAnswer: 17196.0784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**4 - 318*c**3 - 24961*c**2 + 25278*c.\nAnswer: c*(c - 383)*(c - 1)*(c + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 49 + -42. Suppose -c*k - 43 = -43. Solve k = -n - 0 + 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 1 + (-2 - 3 + 3)*(0 + 3 - 5) + 1 - 2 - 1 - 1 + 2 - 2)*(65*p**3 - 65*p**3 - 4 - 4*p**5).\nAnswer: -8*p**5 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -13 - -12.9. Let v = s + -0.36. Let h = v - -0.16. Which is the second biggest value?  (a) 0.4  (b) h  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1532.\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 9 = 0, -4*j - 14*g + 12 = -10*g. Let y = 2 + 3. Put y, 4, j in increasing order.\nAnswer: j, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3532239839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-6)\/(-5)*(3 + 2). Let a(l) = -l**2 - 5*l**2 + c*l**2 - l**2. Let b(z) = -z. What is a(b(r))?\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) 10  (b) 0.09  (c) 1.4  (d) 2  (e) 14  (f) -521  (g) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.112 + -0.312. Let i = 82.7 + -83. Put u, i, -1\/4, 1\/6 in ascending order.\nAnswer: i, -1\/4, u, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 16, -4, 0.4, 13\/109 in ascending order.\nAnswer: -4, 13\/109, 0.4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g - 1 = 3*g - u + 7 - 4, -7 = -g + 269*u - 267*u for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l = v - 10 + 12, -4*v + 4*l - 24 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 t when two letters picked without replacement from tntntntt?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (33*l**2 + 1539 - 1539)*(-2*l**2 + 4 - 4) + (-2*l - 3 + 3)*(-l**2 - 2*l**3 + l**2)*(-2 + 0 + 4).\nAnswer: -58*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 185*w**2 + 578*w**2 - 2.\nAnswer: 393*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -32973.75 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8221 + -8221.5. Which is the smallest value?  (a) -3  (b) m  (c) 2\/9  (d) -1  (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 957, 7009, 23233, 54711, 106525?\nAnswer: 183757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = j**3 - 7*j**2 + 8*j - 20. Suppose -199*d + 51 = 5*m - 196*d, 2*m - 5*d = -23. Calculate p(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -2*a**2 + 134*a - 316. Determine c(65).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 92.6 - 80.6. Which is the third biggest value?  (a) -7  (b) -2  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1 + 505?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 114241233 (base 5) in base 13?\nAnswer: 15bb54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -190351 divided by -236.\nAnswer: 190351\/236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-252198)\/13 - (-8)\/(-52). What is c rounded to the nearest 1000?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -d07 (base 15) in base 9?\nAnswer: -4017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2148422104 to the nearest integer?\nAnswer: 1290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:28 PM and 10:01 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((5*t - t - t)*(3 - 1 - 1) + 2 - 1 + 3*t - 7*t)*(-68*t**2 + 104*t**2 - 170*t**2).\nAnswer: 134*t**3 - 134*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 24 + -42. Let i(y) = 2*y - 44. Let l be i(b). Calculate the smallest common multiple of l\/24*54\/(-10) and 3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -28 (base 12) in base 4?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*x = 8*x + 12. Let k(b) = 0*b + 740*b**2 - 7 - 739*b**x - 7*b + 2. Is k(11) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2b (base 13) in base 10?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 5, -18 in ascending order.\nAnswer: -18, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 1 - (20 + (35 - 15 - 8))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*u - 7*u - 8*u + 25*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -4 + (-2 + 6 + -2 - 3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -46 - -50. Let a(d) be the first derivative of -1 + 0*d + 1\/3*d**3 - 1\/4*d**g + 0*d**2. Solve a(f) = 0 for f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4\/(1\/2 - 15\/6). Let f be ((-594)\/(-12))\/(-11)*v\/3. Factor 2*y**4 - 14*y**2 - 8*y + y**f + 0*y**4 - 5*y**3 + 0*y**3.\nAnswer: 2*y*(y - 4)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 20976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 65\/792 and 10\/27.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 52 + 1593*k + 1592*k - 3193*k. Calculate l(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 2*u**2. Let n(c) = 55*c - 25. Let h(m) be the first derivative of 9*m**2\/2 - 4*m + 3. Let v(q) = -25*h(q) + 4*n(q). Calculate v(a(b)).\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 935*i**2*w**3 - i**2*w**2 + 1174*i**2*w - 3*i*w**4 + 65*i*w**3 - w**2 + w - 294 wrt w?\nAnswer: 5610*i**2 - 72*i*w + 390*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 12665*-0.3\nAnswer: -3799.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0 + 15. Suppose -u = -6*u - 165. Find the common denominator of 101\/14 and u\/(-12)*66\/o.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1)\/3 - 80\/(-15). Let r(i) = -i**3 + 11*i**2 - 10*i + 10. Let d be r(10). Suppose -7*y = -2*y + d. Put y, -3, j in descending order.\nAnswer: j, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 36261 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 8830180\/31 at most 284846?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -259?  (a) -4  (b) -1\/4  (c) 0.3  (d) -39  (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1300)*-2 + -5 + sqrt(1300))*-5 + (sqrt(1300) + sqrt(1300) + (0 + sqrt(1300))*1 - 2*(0 + sqrt(1300))))**2*2.\nAnswer: 6000*sqrt(13) + 94850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2563?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i**3 + 7*i**2 - i + 7. Let z = 21 - 14. Let y be p(z). Suppose v + 2*b - 9 = y, 15 = 5*v + 5*b - 25. Does 2 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 18*o - 41. Let i be ((-21)\/((-567)\/(-54)))\/(2\/(-7)). Determine u(i).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -18.0747 times -0.2\nAnswer: 3.61494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -13*b**4 + 9*b**2 - 5*b - 5. Let m(l) = -20*l**4 + 14*l**2 - 8*l - 8. Let q(t) = 5*m(t) - 8*s(t). What is the third derivative of q(u) wrt u?\nAnswer: 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y + 23652 = -3*t + 23670, 13 = 2*t - 3*y for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 5159338 a multiple of 234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in four sevenths of a week?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 5*s - 2. Let b = 15 + -11. Let q(p) = 6*p + 3. Let k(u) = u. Let x(n) = 12*k(n) - q(n). Determine b*t(l) - 3*x(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 54408 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000931427 rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = t**3 - 13*t**2 + 36*t - 2. Determine i(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -12485 + -1951?\nAnswer: -14436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -953580 rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -184058 + 151226 = -21*u + 190146. Calculate the greatest common divisor of 2 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 + 2 = 3*i + w, 4 = 3*i - 2*w for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -409.999252 - -410. Round n to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*x**2 - 3*x**2 - 2*x**2)*(1 - 2 + 2) - 2*x + 52*x**2 - 32*x**2 - 26*x**2.\nAnswer: -8*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2 + -4. Let n(h) = -h**3 + 3*h - 5. Let v be n(-5). Let u be 4\/(-14) + 44\/v. Which is the third biggest value?  (a) u  (b) 0.4  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (27\/6 - 4\/8)*(-9 + 8). Which is the nearest to 3\/7?  (a) -0.049  (b) u  (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 + 5 - 8)*(0*f**2 + 0*f**2 - 2*f**3)*(1 + 5*f - 6*f - 3).\nAnswer: -20*f**4 - 40*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*v - 6300 = 17*v. Let r = v - 618. Is 12 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -235 (base 11) in base 3?\nAnswer: -101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1495570*q**3 - 4591777?\nAnswer: -4486710*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 15*g + 14. Let l(i) = 8*i + 5. Let j(f) = -15*f - 10. Let v(a) = -3*j(a) - 5*l(a). What is 17*v(c) - 6*w(c)?\nAnswer: -5*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2196740?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 6*k - 1. Let t be j(1). Let l = -854 + 1208. Let m = l + -351. Solve -4*x - 8 = -4*c, -m*x + 2 = -t*x for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-6)\/2)\/3 + -2)\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(1 + sqrt(243) + -4 + (sqrt(3) - (sqrt(3) + sqrt(48))) - (1*sqrt(135))\/(sqrt(5) - (sqrt(5) + sqrt(20)\/sqrt(4))*3 - sqrt(5))).\nAnswer: -22*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3\/(-5)*(-2)\/(-6). Let t = 5.05 - 0.05. Let d = 17\/60 + -91\/180. Which is the closest to d?  (a) t  (b) j  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1959240 is divided by 30613?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3)\/((-4)\/26 - (-9338)\/57148). Let c = o - -2. Let f = -146 - c. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 468 minutes before 3:31 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1597 is divided by 231.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 54ba + c?\nAnswer: 54c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 61636 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1672 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3c65 - -19c04?\nAnswer: 20b69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 17 + ((-30 - 81) + 11 - -29).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4575*y**2 + 184*y wrt y?\nAnswer: -9150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 792\/(-63) + (-20)\/(-35).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -88  (b) -4  (c) -17  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 + -9 + -9 + 10?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -19\/414 and -81\/8.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k - 3*j - 76 = -72, 6*j = -3*k + 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -9*w**3 + 6*w**2 - 4*w - 4. Let x(i) = -10*i**3 + 7*i**2 - 5*i - 5. Suppose -10*g = -g - 45. Calculate g*k(p) - 4*x(p).\nAnswer: -5*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -k**2 + 10*k + 13. Is 12 a factor of w(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:35 PM and 12:52 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -256 - -267. Calculate the remainder when 61 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -29\/176 and 64\/14245?\nAnswer: 227920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = -46 - 6. Let d be (-16)\/(-6)*(y - 1). Let s = 111 + d. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 665.\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -623 + 3806 = 3*v. Suppose -5*k = -4*k - v. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -162*i + 1498*i = 191*i - 1023*i - 95392 for i.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2309547\/55 + 41993. Calculate the common denominator of 91\/60 and i.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4911.36 hours to microseconds.\nAnswer: 17680896000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -2164*j**2. Let d(u) = 65*u**2. What is n(d(w))?\nAnswer: -9142900*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45759 is divided by 323?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4665259 rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r**2 - 9*r - 7. Let j be k(-6). Calculate the remainder when 43 is divided by ((-4)\/(-4) - 0)*j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 333261515 is divided by 444.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1 - 1.2. Which is the nearest to -2?  (a) -5\/4  (b) 3  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -5*u + 4. Let b be 8\/(-12) - 28\/(-6). Suppose b*v - 55 = 9*v. What is the units digit of n(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 * -63.\nAnswer: -6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 1 + 17*g**2 - g**2 + 12*g**2 + 8*g**2 - 21*g. What is the units digit of b(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5777579425 to the power of 1\/3, to the nearest integer?\nAnswer: 1794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -19400508, -19400512, -19400516, -19400520, -19400524?\n\"Answer: -4*y - 19400504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n**3 + 11*n**2 - 11*n - 23. Let a be c(11). Let w = 154 + a. Calculate the smallest common multiple of w and 62.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of j**2*k**3 - 22*j**2*k**2 + 3*j*k**4 + 760*j*k**2 + 5*k**4 - 24*k**3 wrt k.\nAnswer: 6*j**2 + 72*j*k + 120*k - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 305108175 a multiple of 286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 5, -0.2, -1390, -22?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -1314\/5, -0.1, -1\/5, -2\/7 in decreasing order.\nAnswer: -0.1, -1\/5, -2\/7, -1314\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1230 by 15.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -21 + 27 + 10 - (6 - 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3\/5  (b) -5\/232  (c) 224\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27 is divided by (-32)\/(-176) + 216\/22.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12674 (base 9) to base 14.\nAnswer: -31a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 134637036 is divided by 4343130?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1729*c**2*d**2 - 2*c*d**2 + 2*c + 92*d + 1 wrt c?\nAnswer: 3458*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1734 and 52294346.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 57181795.4845808 + -0.5.\nAnswer: 57181794.9845808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 471 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -95\/291 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 9306, 9315, 9338, 9381, 9450, 9551, 9690, 9873?\n\"Answer: p**3 + p**2 - p + 9305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.05 + 3.05. Let l = a + -3.00000176. Round l to seven dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -57356 * -3.\nAnswer: 172068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = k - 9. Let f(u) = -96*u - 2 + 52*u + 45*u - 2. What is 5*f(g) - 2*x(g)?\nAnswer: 3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*v**3 + 67315*v**2 - 291545240*v + 398688009180.\nAnswer: -5*(v - 5326)**2*(v - 2811)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 149 minutes after 3:30 AM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-12)*24\/8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 72 + -67. Suppose 20 = b*d - 0. Suppose -d*u = 2*o - 114, 0 = 3*o - 2*u - 0*u - 203. What are the prime factors of o?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*p - 19*p = -c + 35, 11 = p + c. Calculate the remainder when p is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 - 17 = 5*f. Let k = -1 - 2. Let v = k - -2. Which is the third biggest value?  (a) v  (b) f  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (-3 + 0 + sqrt(76) + 1 - (1*sqrt(76)*-3 - (sqrt(76) + (sqrt(76) + 1)*-5)))**2.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-1)\/((m\/m**2)\/m))\/(m**3*m*m**(-4)*m)*((m*m**9*m)\/(m*m\/(m\/m**(-1\/4))*m))**30 assuming m is positive.\nAnswer: m**(555\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -24509*s**3 + 4*s**2 - 2*s - 3. Let w be i(-4). Let k = w + -1048645. What is k rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10675*c = 11082*c + 8140 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 14 - 0. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -3  (b) 0.1  (c) -2\/7  (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (140\/(-165))\/(-14)*-3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -h - 12 - h + 2*h - h in the form g*h + o and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 13*s**3 - 2*s + 1. Let h be o(1). Let r be 188\/h - (-4)\/12. Solve 0 = 3*v + 5*b + r, -4*v = 4*b - 9*b - 37 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4*(-112)\/(-128)*(-8)\/(-98)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the third derivative of 0 - 1\/336*t**8 - 1\/20*t**5 + 0*t**7 - 4*t**2 + 0*t**3 + 0*t**6 + 0*t**4 + 0*t. What is the third derivative of c(v) wrt v?\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) be the third derivative of y**4\/24 + y**3\/2 + 6*y**2. Let b be f(-8). Suppose -8*h = -4*h. Put -1, b, h in descending order.\nAnswer: h, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 - 2ed?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 2*y = -5*a - 31, -5*a - 15 = 5*y. List the prime factors of (0 - y\/(-6))*93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -39133 + 39244. Let l be 37*(2 - (-1)\/(-1)). Calculate the greatest common factor of l and u.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 13472 + -23?\nAnswer: 13447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 86 = -4*t + 90. Is -5 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -353 = 40*j - 993. Let s be -3*(-8)\/6 - -1. Solve s*y - j = 3*l, 5*l + 3*y - 25 = y for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of f**2*j**3*q**3*y - f**2*j**2*q**2 - 2*f**2*j*q**2*y - 1874*f**2*q**3*y - 2*f**2 - 3*f*j**2*q**2*y + 2*f*q*y - 21*j**3*q**2*y wrt q.\nAnswer: 6*f**2*j**3*y - 11244*f**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*sqrt(84)*-1)\/(3*sqrt(108) + sqrt(108))*5)**2.\nAnswer: 175\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 19756 or 19874?\nAnswer: 19874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.62 times -5?\nAnswer: 13.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*r**2 + 8*r**2 - 6*r**2)*(8*r - 20*r - 3*r) + r**3 + r**3 - r**3.\nAnswer: -149*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 177104.\nAnswer: 2, 11069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6289 - 6220 - (30 - -2).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -52 plus -6715.3?\nAnswer: -6767.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1568 - 1565. Let u = 0.27 - -0.03. What is the third biggest value in -4\/7, -3, d, u?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -2*y. Let k(b) be the second derivative of -3*b**4\/2 + 28*b. Give f(k(s)).\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 39.5 - -3.5. Let g = 42.855 - k. What is g rounded to two dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2100?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/j**(-2))**(5\/11)*(j\/(j*j\/(j*j**(-2))))**(-39) assuming j is positive.\nAnswer: j**(873\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 156071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -28, -54, -92, -148, -228, -338?\n\"Answer: -x**3 - 19*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 9601 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 1\/41, -45, 0.3, 3\/2, 0.2, -4, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4.811 - 0.111. Let i = -5 + x. Let z = -0.13 + 1.13. Which is smaller: i or z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 202 is divided by 69.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**2 + 16*g + 33. Suppose n - 55 = -3*m - 3*n, -4*m + 65 = -3*n. What is the smallest common multiple of 24 and a(m)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -n**3 + 1. Let r be f(1). Solve 6 = -r*c - 2*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -25 - -26. Let m be (-1 + 16)*t\/5. Let v be 1\/((-2)\/(-24)*m). Solve 0*y + 2*y = v for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -67219 divided by -4\nAnswer: 67219\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -20*s**3 + 29*s**2 + 8*s - 3. Let n be ((-2)\/8)\/(13356\/(-1904) - (5 + -12)). Let r(f) = 7*f**3 - 10*f**2 - 3*f + 1. Give n*r(g) + 6*d(g).\nAnswer: -g**3 + 4*g**2 - 3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -72 - -98. Calculate the remainder when t is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -13637, -13716, -13807, -13916, -14049, -14212, -14411, -14652?\nAnswer: -14941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 12 = -3*m, 4*y - m = -y - 18. Let l(w) = 3*w + 12. Let v be l(y). Suppose i - 8 = v*s + 10, 3*s - 45 = -2*i. Does 7 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s**2 + 2*s + 2. Let t = 37 - 26. Suppose q - 1 = -v - 0*q, -v - t = -2*q. Calculate h(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 17789320 or -0.1?\nAnswer: 17789320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 5 = -w. Suppose 5 = s - 2*s. Let q be -3 - s - -1*w. Calculate the highest common factor of 15 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000002588033869 rounded to 7 decimal places?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53 - 57 = -x. Suppose r = -x*s + 276, -s + 557 = 4*r - 472. Calculate the remainder when (9\/(-4))\/(760\/r + -3) is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q\/q**11*q)\/(q*(q*(q\/q**4)\/q)\/q) assuming q is positive.\nAnswer: q**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*w**2 + 3*w**2 - 22*w**2 - 4*w**2.\nAnswer: -40*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 415249 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 6*t = -6007, -15*s = -14*s + 4*t + 6019. Is -6044 != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 17\/4 of a centimeter?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 24, -11, -42, -69?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19234316 is divided by 2247.\nAnswer: 2243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3 or 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 58187013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1 + 40. Let h = 39 - r. Suppose h*q + 6*q = 30. Solve p - 15 = -q*f + 10, -5*p - 4*f = -20 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.0603 + -166.9397. Which is smaller: -1\/5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3321\/(-615)*120\/(-27)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 334, 332, 330?\n\"Answer: -2*y + 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -3 - 10*-1 - -1. Suppose 5*c - 16 = -3*j, -z*c + j = -4*c - 6. Solve c*i = -0*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -q**2. Let m(i) = 6399*i. Give m(o(z)).\nAnswer: -6399*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 297 - 0?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s**3 + 3*s - 1. Let r be l(2). Let t be (r + 4)*10 - 2. Let z = t + -7. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 690 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -12 + -132?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 29\/2 of a kilometer?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*c**3 + 1744*c**2 + 8564*c - 24136.\nAnswer: 4*(c - 2)*(c + 7)*(c + 431)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 932685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4982 or 184308\/37?\nAnswer: 184308\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -18*x - 18. Let w be y(-4). Let p(r) = w*r - 160*r + 57*r + 51*r. Let c(u) = -24*u**2. Calculate p(c(b)).\nAnswer: -48*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that -3*x**3\/7 + 15228*x**2\/7 - 197457*x\/7 = 0.\nAnswer: 0, 13, 5063","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*b**5 + b**5 - 2*b**5 + (0*b + 0*b + 2*b**2)*(-4*b**3 - 2*b**3 + 4*b**3) + 2*b**5 + 0*b + 0*b - 4*b**5 + 4*b**5 + 2*b**5 - 37*b + 37*b + b**5.\nAnswer: 2*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -132 or -159?\nAnswer: -159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -9*1*(-131)\/(-1572). Sort c, 65\/2, 5 in ascending order.\nAnswer: c, 5, 65\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -15*j**2\/2 - 1458*j + 2931\/2.\nAnswer: -3*(j - 1)*(5*j + 977)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 25890493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2525909)\/63635)\/(-101) + (-6)\/15.\nAnswer: -1\/143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(171))**2*-2 + 1 - ((-2*sqrt(19))**2*3 - sqrt(38)\/sqrt(2)*1).\nAnswer: -569 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in -38, 4, 497?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1 - -5)*24\/16. Let r be ((-4)\/w)\/((-1)\/3). Solve 0 = k - 4 + r for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in three fifths of a week?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 114528377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence soh when three letters picked without replacement from szoopbbphbssssbhzb.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -975 or -2?\nAnswer: -975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 0\/((24\/(-30))\/(62\/465))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9 + 9. Let l = k + 1.5. Let w = -1.5 - l. Put 5, 0.4, w in increasing order.\nAnswer: w, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -25 - 138*v**2 - 150*v**2 - 138*v**2 + 451*v**2 to the form h*v + u*v**2 + x and give x.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(1440) - 1*sqrt(1440) - sqrt(1440)))\/(sqrt(25)\/(2*sqrt(180)))*5.\nAnswer: 2160*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 53777750 to the power of 1\/3, to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4 + 2. Let y(f) = -5*f - 10. Let h(x) = -9*x - 20. Let k(z) = -6*h(z) + 11*y(z). Let v be k(m). Sort v, -4, 2 in ascending order.\nAnswer: -4, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/(-3) - 36074\/3828. Let m = -134\/29 - g. Let y = 1549 - 24871\/16. Calculate the common denominator of y and m.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -27*j**3 + 5853*j**2 + 3464487 wrt j?\nAnswer: -81*j**2 + 11706*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*q - 700 = -682 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1, -0.3, 3, -1341, -4\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 374 minutes before 6:00 AM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w**3 + 1374*w**2 - 5433*w - 6810 = 0 for w.\nAnswer: -1, 5, 454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -5*p + 22. Let g be o(4). Let d(u) be the first derivative of -3\/2*u**g + 0*u - 9. Let y(x) = 7*x**2. Give d(y(s)).\nAnswer: -21*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24376*-0.3.\nAnswer: -7312.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oukiuicg. Give prob of picking 1 u, 1 g, and 1 i.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -25 + 21. Let z(j) = j**3 + 6*j**2 + 5*j + 7. Let p be z(l). Calculate the highest common factor of 95 and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47886 greater than or equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21086 - 10550 - 10561 + 2*m.\nAnswer: 2*m - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 11 - 11. Solve -g - 1 - 1 = i for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gqc when three letters picked without replacement from {g: 3, q: 4, c: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 14\/(-378)*-27 - 2*1. Let z(x) = 12*x**2 + 39*x + 38. Give z(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 791 is divided by 763?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(91)\/sqrt(63) - sqrt(52)\/(sqrt(16)\/sqrt(4)))**2 + (5*(sqrt(65)*-2 + sqrt(65)))\/sqrt(5).\nAnswer: -5*sqrt(13) + 52\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w + 7 = w. Let m(i) = i**3 - 8*i**2 + 8*i - 8. Let q be m(w). Let f be -5*((-108)\/(-20))\/q. Calculate the greatest common factor of 18 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 5*r = 2*r - 20, 2*r + 28 = 2*g. Calculate the remainder when g is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 59052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4  (b) -0.03  (c) 5  (d) 0.3  (e) 7.8  (f) -3  (g) 132\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the second derivative of 2*u**3 + 0 - 2\/7*u**7 + 0*u**6 + 0*u**5 + 0*u**4 + 0*u**2 + 3*u. Find the second derivative of j(s) wrt s.\nAnswer: -240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -81*q - 148*q + 3175 + 1176 = 0 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/(-10))\/((-408)\/(-680)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -667*v + 2 - 2 + 1588*v + 916*v in the form x + w*v and give w.\nAnswer: 1837","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (5 - (2 - 0)) + -2. Let d be (13 + -14)*(-93 - c). Let f = -4 + d. What is the highest common divisor of 36 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-17091*k + 8444*k + 8406*k)*(2*k - k + 0*k).\nAnswer: -241*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -18, 0 in increasing order.\nAnswer: -18, -8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.8 + 145.8. Let y = m + -144.99878. Round y to 4 dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1\/6  (b) -0.49  (c) -2\/11  (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.08 and -1465681?\nAnswer: 117254.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1214344402 (base 5) to base 15.\nAnswer: -3c0837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the third derivative of y**4\/24 - y**3\/2 + 8*y**2. Let v(j) = j - 2. What is 4*a(i) - 5*v(i)?\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 22902 (base 10) to base 13\nAnswer: a569","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*c**3 - 1 + 1 - 1)*(-436 + 2831 + 509) in the form q*c + a*c**3 + z + g*c**2 and give a.\nAnswer: 5808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -1 + a - 1 + 1. Let w(k) = -k**3 + 2*k**2 + 21*k. Let z be w(-4). Suppose 3*f + 2*p + 14 = 0, 3*p + p = -2*f - z. Calculate q(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 813 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 -6*v + 89 = 179 - 102. Let x(q) be the third derivative of 2*q**v + 0*q + 0 - 1\/300*q**5 - 1\/30*q**4 + 1\/6*q**3. Factor x(c).\nAnswer: -(c - 1)*(c + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -6*n - 13. Let i be l(-9). Let r = i + 0. Does 11 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.76 and 1?\nAnswer: 1.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1486 is divided by 230.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 141852.\nAnswer: 2, 3, 11821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 40205869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 34*p**3 - 4*p**2 + 8*p - 3. Let s = -138 + 139. Let j be o(s). What is the highest common factor of j and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x**5 + 248*x**4 + 3120*x**3 + 7456*x**2 - 29440*x = 0.\nAnswer: -46, -10, -8, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g - 64. Let j(u) = 16. Give -9*j(a) - 2*p(a).\nAnswer: 2*a - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5886*r**3 + 5846*r**3 + r**2 + 6 - 39 wrt r?\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12077 is divided by 66.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 124889854?\nAnswer: 2, 17, 41, 89591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -2*u**2 - 10*u. Let g be a(-6). What is the units digit of (40\/g)\/5*-6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8397 = -11*r + 12368 + 13214. Is 4 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/6 + 184\/69?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14966?\nAnswer: 2, 7, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -85 from -458263348967.\nAnswer: -458263348882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.09 + -0.39. What is the closest to 0.1 in -0.4, m, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 453 minutes before 10:31 PM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t - 67 = -v - 80, 43 = -3*t - 7*v for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, 8, -17 in increasing order.\nAnswer: -17, -12, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4\/51 + 74\/357. Let j = 254\/21 - 12. Which is the nearest to 3?  (a) 0.4  (b) j  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -415*k**2. Let d(o) = 11*o**2 + 17. What is d(c(b))?\nAnswer: 1894475*b**4 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3780  (b) -2  (c) -1\/3  (d) -0.1  (e) -2\/5  (f) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 18981232 and 1761?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -42084 - -42081. Let x be 7 + (2 - 1 - 2). Let d = 9 - x. Put 2, -4, d, p in increasing order.\nAnswer: -4, p, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 550\/(-4)*288\/(-60). Suppose 285 + i = 5*s. Suppose 5*y = l + 897, 0 = -0*y - y + 5*l + s. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 28*v**2 + 84*v + 5. Let p be o(-3). Let m = 4 + -2. Let g = 2 - m. Solve -p*y - 3*s + 30 = g, 5*s - 12 = y + 2*s for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2110212011212 (base 3) to base 9\nAnswer: 2425155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 263335 is divided by 308?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**2\/5 - 154527*y\/5 + 2937818.\nAnswer: -(y - 95)*(y + 154622)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 1184536 + 1591*l**2 - 1184536 in the form i + r*l + w*l**2 and give w.\nAnswer: 1591","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 490 minutes before 12:22 AM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -889*h**3 - 2*h - 2. What is the hundreds digit of l(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*h**2 - 139381*h + 139381*h - h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1676 (base 8) to base 2.\nAnswer: 1110111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 137540 - 1?\nAnswer: 13753a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 1, -11, -1 in decreasing order.\nAnswer: 1, -1, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -44 - -129. Let x = -37 + b. Let v = -47.99918 + x. Round v to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3562271 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 2 + 6)*(-3 + 4 - 4)*(2*n**4 - n**4 + 2 + n**4)*(-5*n + 3*n + n).\nAnswer: 6*n**5 + 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 634*j + 14898. Is c(0) a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 6*u**2 + u - 1. Let t be g(-1). Suppose t*r - 38 = -5*x + 8, 5*r - 5*x = 35. Does 9 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4908, -25, -17 in descending order.\nAnswer: -0.4908, -17, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 2*f + 7. Let v be n(-5). What is the tens digit of 6 + -2 - (v - 32)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1271633?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -547 + -6?\nAnswer: -551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7842 = 11*i + 2872. Calculate the common denominator of 8\/(19200\/i) + 1\/3 and -53\/9.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 12841*j**3 - 5*j**2 - 764439?\nAnswer: 38523*j**2 - 10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1457707802 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -0.129 * -3\nAnswer: 0.387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5.945 - 5.54. Let f = -37 - -36.62. Let j = i + f. What is j rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 5*d = -12. Solve -5*i + 14 = 3*v, -i = -4*v + d*i - 28 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 36*(66\/6)\/(-33)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1604 + 1599. Which is the nearest to -0.1?  (a) 5  (b) x  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o**3 - 6*o**2 - 8*o + 5. Let j be t(7). Let w be (-1)\/j - (-19)\/2. Suppose 3*r - w = -1. Solve -2*s = -r*s + c - 4, -s + 3*c = 10 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x**7*x\/(x*((x*x**(5\/3))\/x)\/x))**33\/((x**(-3)\/x)\/(x*x**(2\/9)\/x*x)*(x**(-2\/5))**34) assuming x is positive.\nAnswer: x**(11737\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 29 divided by 708?\nAnswer: 29\/708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5361, 24472, 56315, 100884, 158173?\nAnswer: 228176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 124*r + 64. Let k(z) = -7*z. Determine x(k(n)).\nAnswer: -868*n + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vtvvvpvtcvvpvvtucct. What is prob of picking 1 p and 1 u?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 6*d**2*f + 7*d**2 + 2*d*f + 373*f wrt d?\nAnswer: 12*d*f + 14*d + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 714\/(-952)*(-1)\/(-2).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 22 - 31. Let s be ((-39)\/(-4))\/(b\/(-12)). Calculate the common denominator of -41\/16 and (2 - -31)\/(s - -3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 324836.\nAnswer: 2, 17, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/1 - 12 - 8*(-210)\/336.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1009 - 1006. Let h(j) be the second derivative of 0*j**2 + 2\/3*j**3 + 3*j + 0. What is h(q)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1142 - 405. Suppose -4*u + 5*m + b = 0, -2*u + 7*u + 5*m - 955 = 0. Suppose 6*x - 148 = u. Is 29 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qezgqwxxexxzx. What is prob of picking 2 e and 1 w?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 123904\/9 - 13893. Let f = -126 - a. Let d be 10\/(-12) - 39\/(-26). What is the nearest to d in f, -0.5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l\/(l\/((l**0\/l*l)\/l)))**(-22)*l**(-1\/9)*(l\/(l*l**(16\/5))*l*l*l)\/l assuming l is positive.\nAnswer: l**(-59\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -735 - 288 = -31*x. Suppose -2*m = -5*g, m = x - 28. Solve g*j - 5 = 7*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 11) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -2, -7, -7.7, 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -0.785+3102054976\nAnswer: 3102054975.215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -76, -142, -210, -280, -352, -426?\nAnswer: -502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -a (base 15) to base 9.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 573 divided by -8\nAnswer: -573\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -278*k**2. Let j(q) = 162*q**2. Calculate s(j(y)).\nAnswer: -7295832*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -82.63 + -24868108.19?\nAnswer: -24868190.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2 + (2 + 0)*1. Suppose -18 = -b*g + 2*n - 0*n, 2*n = -g - 3. Solve -u = 2*q - 4, u = q + 1 + g for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1 - 3510?\nAnswer: -3505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3.3018 and -10.3.\nAnswer: 34.00854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 489671243?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1717 - 487 + 434*x - 1098*x - 561*x - 5*x**2.\nAnswer: -5*(x - 1)*(x + 246)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = j**2 + 8*j + 9. Suppose 10 = 2*z - c, 2 = 3*z - z + c. Let h be (z - (-24)\/2)\/((-21)\/14). Is g(h) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-15)\/((-2520)\/(-16))*-1\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.04437 + 2.95563. Let d = -16 - -49\/3. Let x be 1\/3 + 5\/(150\/(-16)). What is the fourth biggest value in -9, p, x, d?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 divided by 66.\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 636, 1818, 3788, 6546?\nAnswer: 10092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (64\/(-6))\/(-4)*6. Suppose b = -7*r + 3*r + q, -3*b + r - 4 = 0. Suppose b = 7*i - 6*i - 9. Calculate the greatest common factor of 27 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*d**2\/7 - 1552*d\/7 + 150544\/7.\nAnswer: 4*(d - 194)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-2))**(-23))**11\/(((h**(-2\/3)*h)\/h)**(-25))**(-6\/7) assuming h is positive.\nAnswer: h**(3642\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + (12 - 0 - (-30 - -32)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c**3 + c**2. Let f(a) = -3*a**3 + 4*a**2 - 2*a. Let s(n) = -f(n) - 2*j(n). Let d be s(6). Let q be ((-3)\/(-2))\/((-63)\/d). Which is bigger: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 5302, 21360, 48124, 85594, 133770?\n\"Answer: 5353*j**2 - j - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 8*x**2 - 2 - x**2 - 5*x**2 + 2*x + 11*x. Let n be k(-7). Let m = n + 1. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-o**2 - 2*o**4 + o**2)*((4 - 4 + 2)*(1 + 3 - 3) + 3 - 2 + 2) to p*o**2 + r*o**4 + y*o + k + j*o**3 and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -a + 3. Suppose -y = 2*b + b - 8, -2*b - 12 = 5*y. Let c(w) = 2*w - 1 + 5 - 2 - 5. Determine y*k(d) - 3*c(d).\nAnswer: -2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:50 PM and 8:53 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 17098, 34211, 51334, 68467, 85610, 102763?\n\"Answer: 5*d**2 + 17098*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i - 5. Let m be p(-9). Let n(v) = v**3 - 6*v**2 + 6*v + 1. Let c be n(m). Let g be 2 + ((-12)\/(-36))\/(1\/c). What is the smallest value in g, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -15*x + 282. Calculate the least common multiple of 84 and u(16).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:15 AM and 5:16 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4, -2.7, -2\/7, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 46.0008ng to micrograms.\nAnswer: 0.0460008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1242739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0083060484 to 6 decimal places.\nAnswer: 0.008306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5)\/10)\/((-514)\/(-23644)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0 - (-5 - 0\/4). Let b(l) = -l - 2. Let c be b(-3). Sort c, -3, i in decreasing order.\nAnswer: i, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 9*c**4 + c**4 - 3*c**4 + (-3*c**3 + 3*c**3 + 2*c**3)*(2*c - 2*c + 2*c) + 4 - 2 - 4*c**4 + 2*c**4.\nAnswer: 9*c**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 1, s: 1, g: 1, w: 2}. Give prob of sequence iwsg.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2033136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 14 - 10. Let w be (2 - 37)*p\/(-10). Let x = 0 - 0. Solve -l = -x*l - 5*i + w, 3*i = 9 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -33 or 127956?\nAnswer: 127956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 141 minutes before 12:49 AM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the first derivative of -4*m**5\/5 + 6*m**4 - 52*m**3\/3 + 24*m**2 - 16*m + 1. Determine x so that j(x) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qzz when three letters picked without replacement from uzzqzzzzzzzzzzzzzzz?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + 0 + (-27 - (29 + -61)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 5 - 6 + j**3 + j + 0*j**3 - 5*j**2 + 12. Is x(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 136307.3, 1, -3\/4 in descending order.\nAnswer: 136307.3, 1, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3\/6*-12 - -15. Suppose h = 102*u - 99*u. Calculate the least common multiple of 38 and u.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 7\/200856 and 33\/20654692.\nAnswer: 123928152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1\/2  (b) -1\/3  (c) -689\/68  (d) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6 - -7) + ((-408)\/3)\/(-17).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + -8 + -1 + 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2546 a factor of 472066969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 3\/7 and 15\/1264?\nAnswer: 8848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -19 + 2 + 13 + -14 - (-6 - 0)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 5 = -5. Suppose 5*f - 6*a = -4*a + 141, 0 = x*f + a - 60. Let d = 43 - f. Does 7 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v**2 + 6*v + 6. Let h be l(-4). Let j = 5 + h. Suppose -5*q - 5*u + 60 = 0, q + j*u - 12 = -4. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v - 10 = -3*g - 2*v, 4*v - 2 = -3*g. Let u be ((-6)\/10)\/((-26)\/10530). Suppose -u - 427 = -g*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -355 - 912 = -315*h - 8197 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*h - 4*f - 8, -f - 6 = -h + 2*f. Let m(n) be the first derivative of h*n - 3*n**4 - n**2 - 8\/5*n**5 - 1\/3*n**6 - 8\/3*n**3 - 3. Factor m(v).\nAnswer: -2*v*(v + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3476 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 281630 to the nearest 10000.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mjmmjmmmmm. Give prob of sequence jmjm.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -5, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the first derivative of -h**4\/34 - 8*h**3\/51 + 67*h**2\/17 + 140*h\/17 + 1270. Factor q(u).\nAnswer: -2*(u - 7)*(u + 1)*(u + 10)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(5) + 2)*-1.\nAnswer: -4*sqrt(5) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(121)*-2*4 + 5*-2*sqrt(121))\/(-4*(2*sqrt(77) - sqrt(77))\/sqrt(7)).\nAnswer: 9*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 593*h**5*w - h**4 + 420*h**3*w - 3*h**2*w + 5971*h**2 - w + 2 wrt h?\nAnswer: 35580*h**2*w - 24*h + 2520*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xrrrxzzzrddrrrr. Give prob of picking 1 x and 1 z.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 51684837?\nAnswer: 3, 761, 22639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of f**4 + 1669*f**3*g**2 - 7*f**2*g - 31*f*g**2 + 1 wrt f.\nAnswer: 24*f + 10014*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*p - 16*p = 124. Let j = -31 + p. What is the closest to j in 4, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 74*h**2*m**3 - 3*h**2*m**2 - 19*h**2*m - h*m**4 - 5*h*m**3 + h*m - 28 wrt m?\nAnswer: 444*h**2 - 24*h*m - 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -140626, -141303, -141984, -142669, -143358, -144051, -144748?\n\"Answer: -2*i**2 - 671*i - 139953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 329, -54, 4, 3 in increasing order.\nAnswer: -54, -4, 3, 4, 329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 41, 78, 115, 152, 189, 226?\nAnswer: 263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*t + j + 14, -7 = 4*t + 5*j + 19 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1493928471?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (215\/(-20) - 0)*-16. Suppose -v = o - 1035. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b**3 - 3*b**2 + 2*b - 10. What is x(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 - 10*o**2 + 0 - 1 + 4 as s*o + k*o**2 + w and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -5*g + 4*g. Let q(j) = 3*j**3 + 4*j**2 + 2*j - 2. Let x(k) = -2*k**3 - 3*k**2 - k + 2. What is g*x(t) - 3*q(t)?\nAnswer: -t**3 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the first derivative of -w**4\/4 - 10*w**3\/3 + 9*w**2\/2 - 9*w + 3. Let x be g(-11). Let t = 10 - x. Let h(u) = -u. Calculate h(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6*6525\nAnswer: 39150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) be the third derivative of 0 - 10*h**2 + 0*h - 37\/24*h**4 + 7\/15*h**5 + 0*h**3. What is the second derivative of y(x) wrt x?\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 496015 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4397 + -21983\/5. Put 75, -1, x, -2 in decreasing order.\nAnswer: 75, x, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 74377344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -2*l**3 + l**2 + 3*l + 3. Suppose -6 = 2*c - 2. Calculate the remainder when f(c) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 567 - 540. Suppose -6*o + p*o = 441. What is the remainder when 127 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -26897 bigger than 3817?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 2*n**2 + 15*n + 79. Calculate f(-5).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 76776 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 21\/2 of a microgram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = -2*b + 12, 0 = -l - 4*l - 4*b + 33. Let j(a) = 2*a**2 - 15*a - 13. Is 14 a factor of j(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 3331 = s - 1696, 3*s - 5029 = -2*i. Suppose 0 = 4*c - 3*c - i. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 330 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*(o*o**(-1\/3))\/o)**(-42)*o**11*o*o*o*o*o**7\/o assuming o is positive.\nAnswer: o**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 847074423 divided by -3\nAnswer: -282358141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from aalalaaaaaalaa?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -284 divided by 400961?\nAnswer: -284\/400961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*h - 2*h + h + 3*h.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -4, -14, -50, -124, -248, -434?\n\"Answer: -2*h**3 - h**2 + 7*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4\/11  (b) 0.08  (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 4*p**2 + p + 1. Let f be c(-6). Suppose -f = 5*g - 494. What is the remainder when g is divided by 6 + 8 + (-5)\/(-5)*4?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -30*(18\/3)\/(140\/(238\/17))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(3\/11)\/o**(16\/3)*o*o*(o*o**(2\/15)*o)\/o*o**(-5)*o assuming o is positive.\nAnswer: o**(-326\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**16*(v*v**(-3)*v)\/v)\/(((v*v*v**12\/v)\/v*v*v)\/v**(-2)))**29 assuming v is positive.\nAnswer: v**(-58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) be the second derivative of -3*k + 0*k**3 + 0*k**2 - 1\/12*k**4 + 0. Let w(a) = -3*a - 2. Let y(m) = -1. Let f(v) = w(v) - 2*y(v). Give f(g(d)).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 3*h - 10. Let m be 0 + -3 + (9 - h). Let k be 17*m*(-4)\/(-4). Solve -3*d - 3 = 2*n, -n - 2*d = -6*n - k for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/8 - 30\/(-120). Let f(a) be the second derivative of -4*a + s + 1\/3*a**4 + 0*a**3 - 3*a**2. Differentiate f(m) wrt m.\nAnswer: 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:48 AM and 12:53 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -169, -209, -319, -535, -893, -1429, -2179, -3179?\nAnswer: -4465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1581457 + -4?\nAnswer: 1581453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = q**3 + 11*q**2 + 10*q - 1. Let x be w(-10). Is ((-4)\/8)\/(x\/6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -164 divided by -2\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.35 - -0.25. Round p to one dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(1000)*2)\/(-1*sqrt(8)*-2 - sqrt(40)\/(sqrt(5) + sqrt(45) + sqrt(5))) + 4.\nAnswer: -50*sqrt(5)\/9 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -6*x**3 + 2*x**2 - 1. Let d be s(1). Suppose -2*q = 4*o - 3*q - 13, 2*o - q - 5 = 0. Let b = o + d. Sort 4, b, -3 in increasing order.\nAnswer: -3, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -5*n**2. Let s(c) be the third derivative of -c**6\/40 + 11*c**4\/24 - 18*c**2. Let h(g) be the second derivative of s(g). Determine h(k(l)).\nAnswer: 90*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -5 + 5 + (6 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = n**2 + 2 - 2*n - 3 - 2*n**2. Let m be h(-2). Which is bigger: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 3, w: 8}. Give prob of picking 2 j and 2 w.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*h**3 + 23*h**3 + 5 + 4*h**2 - 58*h**3 + 25*h**3 - 24 + 19.\nAnswer: 8*h**3 + 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyyyyyyyykyyy. Give prob of picking 3 k.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1)\/2*(-189 - -189). Let s(c) = c**3 - c**2 - 2*c + 15. Determine s(d).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 146 + 301. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:51 PM and 10:25 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*u - 2*u + 12 + 22*u - 12*u.\nAnswer: -2*u + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3642711\/428 - -8511. What is the common denominator of -41\/642 and y?\nAnswer: 1284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -57 + 22 + 9 - 21*o**2. Let d(x) = -4*x**2 - 5. Calculate -11*d(n) + 2*t(n).\nAnswer: 2*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 136*i**2 - 136*i**2 + 63*i**3 + 41*i**2 - 41*i**2 + 47*i**3 + (-3*i + i**2 + 3*i)*(-2 + 2 - 2*i).\nAnswer: 108*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 61 + 15 = -j, -k + 92 = 2*j. What is the least common multiple of j and 22?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in -145, -10.7, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the second derivative of -u**4\/2 + u**3\/4 + 9*u**2\/4 - 9*u. Factor h(q).\nAnswer: -3*(q - 1)*(4*q + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 133 - 1203516?\nAnswer: -1203363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6 in 2\/7, -0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5485 is divided by 609?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -127\/17522940 and 143\/8761470.\nAnswer: 17522940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 429 = -51. Suppose -10*q + g = -4*q. Solve -2*x + q = 2*x, 0 = 5*k + 5*x - 35 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29*a - 22*a + 77*a - 21*a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1  (b) 0.4  (c) 34500  (d) 76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 15184 and 76310.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 188048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 478\/5 - 95. Let u = -1.5801 - 2.4199. What is the nearest to 2\/15 in u, h, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*x - 45 = -38. Let p(i) = i**2. Let d(z) = 6*z + 6. Let k(a) = x*p(a) + d(a). Let f(o) = 5*o**2 + 35*o + 35. Give 6*f(r) - 35*k(r).\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 222*a = 224*a - 5*i - 5643, 5*i = -5. Does 5 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q*q**(3\/5)*q)\/q*q)\/q*q**(-2\/13))**(-19\/2) assuming q is positive.\nAnswer: q**(-893\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2171244*w - 2171247*w = -72 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -155*q**2 + 198 - 24*q**2 + 194 - 392 to the form m*q**2 + h + d*q and give m.\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand 13*k**2 + 19 - 19 + (k + 3*k - 5*k)*(k + 3*k - 5*k) + 4 - k**2 - 4.\nAnswer: 13*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 373601449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (213\/3)\/((-189)\/9) and -109\/30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*u - 275 = 9*u. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in w**2 + 2*w**2 - w**2 + 6*w**2.\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-37)\/(-60) + 30\/225. Let v = 3 + -4. Let o = -120 + 118. What is the third smallest value in o, v, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(343) + -2)*3 - sqrt(343) - sqrt(343))**2.\nAnswer: -84*sqrt(7) + 379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dddddddddd. Give prob of sequence dddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**1)**(-21)\/(v*v**(1\/3)*v*v\/v**(-5))*(v**(-1\/2)*v*v)\/(v**(4\/7)\/v*v)*((v*v\/((v*v**0\/v)\/v))\/v)**16 assuming v is positive.\nAnswer: v**(151\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 * -1182117\nAnswer: 118211.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + 3 + 7 - 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -11*k**2 + 4*k + 45. Let g(j) = 16*j**2 - 6*j - 63. What is 7*f(l) + 5*g(l)?\nAnswer: 3*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1635.\nAnswer: 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4407 is divided by 41?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u - 31 = -t - 39, -4*t - 20 = 2*u for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + -6*((-4 + sqrt(288))*-3)**2 - -4*(sqrt(288) + ((sqrt(288) - 5*sqrt(288))*2)**2 + 4).\nAnswer: 5232*sqrt(2) + 57324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 103\/432 and 41\/114?\nAnswer: 8208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*n + 26*n = 2*r - 426, -2*r - 5*n + 462 = 0. Calculate the remainder when 437 is divided by r.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 202 = -158. Let r be ((-24)\/18 - -3)\/((-2)\/t). Let m = -72 + r. Solve 5 = -a - 2*i - i, -m*a - 2*i - 1 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 15 in 62, 0.2, 3, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -2*k + 9. Let i be s(4). Let c be 3 + (i - 0) + 1. Calculate the greatest common factor of c and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000971966376 to seven dps.\nAnswer: 0.000972","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 9182 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + 18 + 1250\/(-75)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/2 in 0.21, -1, 2\/13, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10453.\nAnswer: 10453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pay when three letters picked without replacement from {c: 1, y: 1, a: 1, p: 2, d: 2, x: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 15b + 4?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*g**3 + 16 + 12 + 4*g**3 in the form o*g**3 + d + r*g + h*g**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -15*z + 16*z - 4. Suppose 5*c = -s + 3 + 10, 5*c = -z*s + 22. Let f = 0 - 0. Solve -4*p + s - 15 = f for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 2 = 10. Let q = s + 1. Suppose x + 4*h + 14 = 0, -q*x - h + 6 + 7 = 0. Calculate the remainder when 15 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1793 - -1788. Let l(o) = -4*o**3 + 10*o**2 + 2*o - 3. Let r(b) = 9*b**3 - 21*b**2 - 5*b + 5. Let v(h) = -13*l(h) - 6*r(h). Is v(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -11513, -16043, -23595, -34169, -47765, -64383, -84023?\n\"Answer: -1511*p**2 + 3*p - 10005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-6)\/o)\/(o*o**(-2\/5)\/o*o*o))\/((o\/(o\/o**7))\/o**(-2\/7))*o**(-3)\/o**(2\/7)*(o*o**(-1))**(-5\/4) assuming o is positive.\nAnswer: o**(-671\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 3*d + 1. Let m be i(2). Solve -20 = -l - 3*q, q = 6*l - m*l + 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1880 + -18739\/10. Calculate the common denominator of (-1)\/1 + 98\/(-40) and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -21 > -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2940 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) be the first derivative of 51*l + 1\/4*l**4 + 0*l**2 + 1\/3*l**3 - 124. Differentiate f(r) wrt r.\nAnswer: 3*r**2 + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 (base 13) in base 14?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 10 = -2. Suppose 3*n = -3*g - 3, -n - 9 - 16 = -5*g. Put p, 5, g in increasing order.\nAnswer: p, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24*m**3 + 319*m**3 + 972*m**3.\nAnswer: 1315*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -161984, -161965, -161946, -161927?\nAnswer: -161908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-1\/5)*(a*a\/(a\/a**5*a*a))\/a)\/((a\/(a**(-1)*a*a*a)*a*a)\/a)**31 assuming a is positive.\nAnswer: a**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one quarters of a millennium in months?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1*-1*2\/3. Let o = 13.8 + -11.8. Which is the nearest to o?  (a) h  (b) 3  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -12*o**2 + 952*o - 9575. Calculate h(10).\nAnswer: -1255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 103975?\nAnswer: 5, 4159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1 + 4 + (-2 - 0). Solve p*s - s - 4*a = 18, -3*s + 2*a + 19 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13 - (-1 + 41 - (5 - (-35 - -41))).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o + i + 4 = 0, 9*o = 14*o - i - 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Do -0.1 and 134443 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -42625 by -31.\nAnswer: 1375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -15*y**3 + 19*y**2. Let p(w) = w**3. Let m(j) = f(j) + 2*p(j). Find the third derivative of m(z) wrt z.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 48623099 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*p + 3*p + 0*p)*(-4 + 4 - 12*p + 1).\nAnswer: 24*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 13*g + 2. Let y(r) = -4*r**2. Give y(s(i)).\nAnswer: -676*i**2 - 208*i - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1736.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = -5*h + 53, 38 = 5*h + 2*k - 13. What is the remainder when 98 is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 676 minutes before 4:01 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the first derivative of 166*b**5\/5 + 435*b**2\/2 - 1147. What is the second derivative of o(c) wrt c?\nAnswer: 1992*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = -6, 0 = -2*q - 0*q - 5*r - 8. Let s be (22 + -23)*(q - 1). Let v(j) = j**2 + j + 33. What is v(s)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jdz when three letters picked without replacement from {z: 9, d: 1, t: 8, j: 2}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 2, g: 2, k: 2, i: 2, b: 2, w: 4}. What is prob of picking 2 g?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 147557698?\nAnswer: 2, 73778849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 62820451\/45 + -1396223. Let c = -323971\/1480 - 89\/296. Let m = c - q. What is the common denominator of m and 17\/7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 24 = v. Find the common denominator of (-187)\/28 + 3\/v and (-388)\/(-9)*3\/16.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1385 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4762 + 4765. Solve -3*d + 11 = 4*z, -l*d - 9 = -5*z - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -636*v + 2104*v - 679*v - 815*v.\nAnswer: -26*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = -5*p + 50, -3*p - 2*d + 40 = p. Let x = 22 + -18. Suppose 0 = x*l + 2*j - 4*j - 14, 2*l + 3*j = 19. Solve 0*o = l*o - p for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 396 (base 15) to base 5.\nAnswer: 11231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 5196, 5192, 5186, 5178, 5168?\n\"Answer: -k**2 - k + 5198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.018, 0.1, 3, -5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 120*r = -5*y + 56*r + 61*r - 139, 3*y - 4*r + 66 = 0 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 1672 + 0 = 0. Let m be u\/18 - (-8)\/(-36). Suppose z + 24 - m = 0. What is the smallest value in z, 0.4, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -11 + 14 - 11 - 52*r - 6*r. What are the prime factors of h(-2)?\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 18125, 18108, 18091, 18074?\n\"Answer: -17*q + 18142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 246113262 - 5?\nAnswer: 246113254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-36)\/9)\/((-2)\/(-130)). Calculate the common denominator of g\/(-50) - (-2)\/8 and -71\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d**(-4\/5)*d))\/(d*d**(-6\/11)*d))\/(d*d*((d\/d**4*d*d)\/d)\/d*(d*d**(-3))\/d*d) assuming d is positive.\nAnswer: d**(129\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 58426 and 4225798.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -23 + 8. Let p be (-20)\/u*1*3. Suppose 7 + 65 = 2*d + z, p*z + 8 = 0. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 50b (base 14) to base 12\nAnswer: 6a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 12*h**2 + 38*h - 38*h + (0*h + 4*h - h)*(3*h - h - 3*h) in the form s*h**2 + m + d*h and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = o + 14. Let v be q(-12). Suppose v*k = -k + 15. Suppose 23 = k*w - 92. List the prime factors of w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -o**3 - 12*o**2 - 7*o + 19. Let j = 134 - 147. What is the hundreds digit of v(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1969342 to the power of 1\/3, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -53\/9556 and 65\/32?\nAnswer: 76448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -832 or -819?\nAnswer: -832","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one fifths of a micrometer in nanometers?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j**4 + 0*j**4 - 2*j**4)*(-104*j - 77*j - 29*j).\nAnswer: 630*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (6\/(-9))\/((-3)\/18). Let f(s) = -6*s + 2. Let w be f(-5). Calculate the greatest common divisor of w and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-24)\/70*(-7695)\/(-3078)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide ((-3572)\/(-235))\/((-2)\/(-145))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve g + p + 4 = 0, 5*g = -4*p - 15 - 1 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 76202213 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7590, 13638, 19686, 25734, 31782?\nAnswer: 37830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g*(g\/(g\/(g*(g\/(g**(-1)\/g*g))\/g)))\/g)\/g**(-18))\/((g\/(g**(-4\/9)\/g*g))\/(g**(-10)\/g*g)))**(-37) assuming g is positive.\nAnswer: g**(-2849\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -21\/965 or -1?\nAnswer: -21\/965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 3\/11186?\nAnswer: 3\/11186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 o when two letters picked without replacement from {o: 4, t: 3, z: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4 + 67?\nAnswer: 6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3 + 4. Let b(o) = 12*o - 145. Let f be b(13). Suppose 0 = -i - 4*c - 18, 5*c + f = 3*i - 3. Sort r, 1, i in ascending order.\nAnswer: i, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -2*a + 17. Let w be -6 + (1 - 0)*-2. Let y = a - w. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2301032 - -1?\nAnswer: 2301033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -20*d - 4. Let r be f(-6). Let n = r - 34. Is n a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1832 - -1830. Sort p, 258, -0.4.\nAnswer: p, -0.4, 258","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -2*d**3 + 54*d**2 - 145*d + 36. Let k be l(24). Let n(o) = 4*o. Let t be n(1). Solve 2*j**4 + 7*j**4 - k*j**3 + 9*j**2 - 6*j**t = 0 for j.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (h + 2*h + 0*h)*(0 - 1 + 0 + (2 - 4 + 0)*(0 - 3 - 4)).\nAnswer: 39*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the first derivative of -o**7\/672 - o**6\/480 + o**5\/240 - 5*o**3\/3 + 4. Let r(j) be the third derivative of p(j). Factor r(y).\nAnswer: -y*(y + 1)*(5*y - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 256049 or 256047?\nAnswer: 256049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 36416100 is divided by 650287.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand h**4 + h - h + (-1 - h**2 + 1)*(-2*h**2 + 2*h**2 - h**2) - h + 3*h**4 + h + 15 - 13*h**4 - 15.\nAnswer: -8*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 21*u - 4*u + 18*u + (2 - 3 + 2)*(-2*u - 2*u + 6*u) to t + w*u and give w.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 1786 - 10*n**3 - 1786 + (0*n + n - 2*n)*(-1 + 1 + n**2) + (7*n**2 + 22*n**2 + 0*n**2)*(1 - 2*n - 1) in the form u*n + m*n**3 + b*n**2 + q and give m.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*k**3 - 10952*k**2 + 253924*k - 242968.\nAnswer: -4*(k - 22)*(k - 1)*(k + 2761)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = o + f, 20 = -f - 3*f. Suppose 4*i + 2*r - o*r + 2 = 0, -4*r + 11 = 3*i. Which is smaller: i or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 795.629cm to meters.\nAnswer: 7.95629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 42 - 29. Let o = r + -10. What is the greatest common divisor of o and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1124 divided by 4?\nAnswer: -281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 2*d + 130 = 0, y - d - 40 = -3*d. Calculate the least common multiple of y and 6 + -8 + (-2 - -18).\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 2*k**2 - 7*k - 8. Let n be j(-7). Let t = -99 + n. What is the highest common divisor of 8 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2966 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51*w + 41918 = -11*w + 27158. What is the greatest common divisor of w and 205?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 18 = -17. Let s = 1 - x. Solve 8*a = 4*a + s for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6611 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 10*s**3 - 435*s**2 + 993*s + 1300. Determine r(41).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -11*v. Let y = -615 + 618. Let g(q) be the second derivative of 0*q**2 + 0 - 6*q - 1\/3*q**y. What is z(g(n))?\nAnswer: 22*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.991 plus 487.68?\nAnswer: 488.671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 606904 is divided by 33716?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1872)\/(-928) + 3\/(-1) + 1. Let t = -73\/29 + g. Which is the third biggest value?  (a) -2\/7  (b) t  (c) 5  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjkjjjtwkjwkjvttjwq. Give prob of picking 1 k and 1 v.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 83 plus -113918?\nAnswer: -113835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (0 - 0)*1\/2. Suppose v = 5*i - s - 156, 0 = i - s + 2*s - 30. Is i a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1211*h - 1202*h = 45 + 63. Suppose l = -3*l + 8. Let r(a) = 4*a. What is the remainder when h is divided by r(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -2*m - 29. Give u(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6521*j**5 - 8*j + 10930?\nAnswer: 130420*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -42106840*t**3 - 21*t + 698968 wrt t.\nAnswer: -252641040*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*r + 2*r - 216 = 0. Let n(f) be the first derivative of -r*f**2 + 17 - 3 + 26*f**2. Let o(j) = 19*j**2. What is n(o(s))?\nAnswer: -38*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -100.905 - -100.805. Let l = 1 + 0. Which is the third smallest value?  (a) x  (b) -0.8  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1394 - 764 = 104*f + 1482 for f.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 560 divide 267640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + -170.7.\nAnswer: -175.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -4*r**3 - 15*r**2 - 3*r + 6. Let s be l(-5). Let w = 83 + s. What are the prime factors of w?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*q**2\/9 + 22*q\/3 - 6 = 0 for q.\nAnswer: -9, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1015229160 a multiple of 13095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.11 - -131759585.6711.\nAnswer: 131759585.5611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -68 + 103. What is the remainder when f is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14750059.\nAnswer: 53, 59, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(20))\/sqrt(2))\/sqrt(5).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3.97 + 0.03. Let w = 4.39 - 0.19. Let i = n - w. What is the closest to -1 in -2, 2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve w + 2 = -u, 4*w + 5*u - 4*u = -8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 47996 and 156?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 324, 946, 1822, 2952, 4336, 5974?\nAnswer: 7866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -9*o + 5*v - 140448 + 140473, -5*v = -5*o + 45 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 526.6686 micrograms?\nAnswer: 526668.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1264900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -18*j**2 - 54*j + 48. Let g(d) = -67*d**2 - 216*d + 193. Let y(f) = -4*g(f) + 15*h(f). Factor y(u).\nAnswer: -2*(u - 26)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -4, -5, 1058, -1, -0.1 in ascending order.\nAnswer: -5, -4, -1, -0.1, 3, 1058","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -46\/19277 and -85\/4144?\nAnswer: 2159024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: ((7\/(-3))\/(271\/271))\/(-7*11\/6)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -111*k**6 + 4*k**3 + 772*k**2 - 2 wrt k?\nAnswer: -13320*k**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -124 divided by 62.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 25\/((-12339)\/(-6168) - 2). Round p to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 69*o + 4*d = 66*o + 40, 2*o - 11*d + 69 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 67\/186774 and -53\/17788.\nAnswer: 373548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 48720313?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5 + 9. Let l = q - 4.1. Which is the closest to l?  (a) -2\/13  (b) 0.4  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -1721, -1720, -1719, -1718, -1717?\n\"Answer: c - 1722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 11, 30, 61, 104?\n\"Answer: 6*s**2 + s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -3*v. Let c = -738 + 752. Let f(p) = p**2 - 9*p + 10. Let k be f(8). Let i(j) = -14 + 4*j**k - 2*j**2 + c. Calculate w(i(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/2*v**3 + 0 + 0*v + v**2.\nAnswer: v**2*(v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 3, d: 15, r: 2}. What is prob of picking 1 d and 1 b?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -237*y - 407 - 210 + 8 = 102 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/9)\/((-2)\/(-15)*(-155)\/62).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 768*p**2 + 16*p - 97. What are the prime factors of x(4)?\nAnswer: 3, 5, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 465 and 1082960.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d**2 - 112*d - 85. Let n(v) = v**2 + 57*v + 52. Calculate 3*c(s) + 5*n(s).\nAnswer: 2*s**2 - 51*s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b, 1 m, and 1 z when three letters picked without replacement from gmobimzzmoz.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 175444700?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -376 = -4*o + c, -5*o = -2*o + 5*c - 259. Suppose 4*l + 0*f - 4*f = 116, -3*f = 3*l - o. What is the lowest common multiple of 15 and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 times -107?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 91766 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in one quarter of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - -3) + -2 + 0 + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 4, y: 3, b: 4, x: 6}. What is prob of sequence yboy?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 243 and 51.\nAnswer: 4131","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 155*o**2 + 1325*o - 630 = 0 for o.\nAnswer: -9, 14\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 2*l**3 - 26*l**2 - 28*l - 24. Determine a(14).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor a**3\/2 - 73041*a**2\/2 + 1348486527*a\/2 - 536802267023\/2.\nAnswer: (a - 36317)**2*(a - 407)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -143\/24 and 61\/53321622?\nAnswer: 213286488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 158700 and 447120?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 224 and 352.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 136815 - 13?\nAnswer: 136802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 15995040 divided by -11280\nAnswer: -1418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 23729586 rounded to the nearest 100000?\nAnswer: 23700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -487 or 483?\nAnswer: -487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: ((-327)\/545)\/(273\/(-3900))\nAnswer: 60\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6 - 7)\/(22\/5)*(-36)\/15?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((4400\/(-75))\/(-44))\/(52\/(-6)). What is the nearest to j in -121, -2, 0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 156085 and 644480.\nAnswer: 19978880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001022469 rounded to 6 dps?\nAnswer: 0.001022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 16137015086 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zzazazzz. Give prob of picking 4 z.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 20 = -2*p - s, -4*p + 15 = -s. Suppose 13 + 7 = -p*x. Put -10, 5, -3, x in descending order.\nAnswer: 5, -3, x, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 36509418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -167908, -167917, -167930, -167947, -167968?\n\"Answer: -2*f**2 - 3*f - 167903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t*t\/(t*t*(t*t\/t**(-1\/9))\/t*t)*t)*t*t**(1\/22)*t*t)\/(t**(-8)*t*t**(-7\/5)) assuming t is positive.\nAnswer: t**(13421\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -438*o**2 - 214*o**2 - 113*o**2.\nAnswer: -765*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the third derivative of 0 - 43*m**2 + 0*m - 13\/2*m**3 + 3\/8*m**4. Is 3 a factor of b(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 211 > -53.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 2, 1\/3, -2\/19, -13.8, 0.04, 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 17910 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 396, -4, 11 in increasing order.\nAnswer: -4, 11, 396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**2 - 5*a + 5. Let y(p) = p + 1. Let c(t) = t - 5. Let o(g) = -c(g) + 2*y(g). Let b be ((-3)\/(-2))\/(5\/(-10)). Let z be o(b). Determine m(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 705115 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*q - 441 = 179*i - 174*i, -180 = 36*i for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qbsdxbsqxbqduqs. What is prob of sequence sb?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4.1 - -4. Let k be (2 - (-7)\/(-4))\/1. Which is the nearest to 2?  (a) x  (b) k  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6257662 is divided by 2977?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 21 - 18. Let i = -2 - -4. Is i at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that -2*t**3\/5 - 334*t**2\/5 + 3978*t\/5 + 1834326\/5 = 0.\nAnswer: -117, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 7*i. Suppose 3*p = -4*m - 1 + 53, 4*m - 4*p = 80. Let v(h) = -16 + m + 2*h. What is v(q(l))?\nAnswer: 14*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = a**2 + a - 7. Let g be q(4). What is the greatest common divisor of g and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - q - 23 = -5*k, -q + 26 = 2*k. Suppose p - q = -v, 2*p = 3*v - 3*p - 108. Is v a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2414 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 48 divided by 2.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.3  (b) 0.12  (c) -0.1  (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 62652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p**2 + 10*p - 215. What is f(-24)?\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3580, 3508, 3590, 3820, 4192, 4700, 5338, 6100?\nAnswer: 6980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from utubjtuuujuutttuubt. Give prob of picking 1 u, 2 j, and 1 t.\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 4*l = -4, -2*l = 5*r - l + 1. Suppose -5*p - 4*k - 70 = r, -2*k + 5 + 9 = -p. Let n be -2 + 1*(p - -1). Round n to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*sqrt(2299) + -2 + (-1 + sqrt(171) + 5)**2.\nAnswer: 185 + 46*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 4, y: 2, s: 8, l: 5}. What is prob of sequence yeey?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -49b (base 14) to base 2.\nAnswer: -1110011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-10)\/(-35) + 287\/(-1862). Is -1 at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*m**2 - 25630*m + 205360.\nAnswer: -5*(m - 8)*(m + 5134)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = -8 + 2. Solve -x*n = -3*n + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (41*r - 3*r - 364*r)*(-2 + r**2 - r + r).\nAnswer: -326*r**3 + 652*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4\/3  (b) 0.06  (c) 0.4  (d) 3  (e) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -35 + 36. Suppose 12 = 3*k - 0. Let p be -2 + 1*(3 - -2). Solve k*o - v = p*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7 - 3. Suppose 2*c = o + 70, -c = j*c + o - 175. What are the prime factors of c?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.5713*-2784\nAnswer: 1590.4992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gggjjggejj. What is prob of picking 1 e and 1 j?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -2*z. Let d(a) be the third derivative of a**6\/60 + 8*a**3\/3 - 34*a**2. Let s(q) be the first derivative of d(q). Calculate s(j(k)).\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4 + 3. Suppose 4*f = 2*q + 4, -4*f + 6*q - 4 = 2*q. Let s be f - -1 - (-10)\/(-4). Which is the nearest to j?  (a) -1  (b) s  (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k**3 - k**2 - 8*k + 9. Let a = 4 - -2. Is f(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 368\/(-10) + (-1)\/5. Let z be ((-1)\/(-2))\/(1\/(-38)). Let y = z - q. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*d**2*f + d**2*t + 2*d**2 - d*f*t + 2608*d*t - 9637*d - 2*f - 3*t - 1 wrt t?\nAnswer: d**2 - d*f + 2608*d - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4771\/5, 0.09, -16?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m = 3*l + 68 - 66, 0 = -4*l - 5*m + 12 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 30a84 (base 13) in base 11?\nAnswer: 5a7a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 150 - -577. What are the prime factors of x?\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k**3 - 31*k**2 - 630*k + 3089. Give d(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36*k**3 + 23*k**3 - 56*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s - 10. Suppose 5*x + 11 = -44. Let j be w(x). What is the remainder when j\/(3 + (-488)\/164) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 21394400 and 10528?\nAnswer: 1504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -205.1 + 156. Let q = b - 4.9. Let d = -54.000031 - q. What is d rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 133 (base 10) to base 15\nAnswer: 8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 4981571, 4981593, 4981619, 4981649, 4981683?\n\"Answer: 2*j**2 + 16*j + 4981553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 2*w**3 - 5*w**2 + w + 3. Let l be q(3). Let r be (70\/l)\/(1\/(-3)). What is the lowest common multiple of (-304)\/r + 6\/21 and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(320) + ((sqrt(320) + -2 + sqrt(320))*4 - sqrt(320)) + sqrt(320) + (3*sqrt(320) - sqrt(320))*-3 + sqrt(320) + -4)**2.\nAnswer: -768*sqrt(5) + 5264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 28533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 4265*r**2 - 13*r + 3*r**3 + 18*r**4 - 2133*r**2 - 2131*r**2 to z*r + b*r**2 + s + i*r**4 + q*r**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(2\/13)\/f)\/f**(-5))\/((f*f*f*f**(1\/7)*f*f)\/((f**(1\/10)*f)\/f)) assuming f is positive.\nAnswer: f**(-809\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 7*z**3 - 5*z**2 + 5*z + 8. Let w(x) = 6*x**3 - 4*x**2 + 4*x + 7. Let f = -203 - -198. What is f*w(q) + 4*g(q)?\nAnswer: -2*q**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 324418 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 197 - 174. Suppose 0 = 3*b + 4*c - h, 4*b + c + 2*c = 26. Let z(g) = g**2 - 6*g + 3. Give z(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1045 - -3?\nAnswer: 1052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = h + 4*u, -2*h - 4*u = -3*u - 10. Suppose 4*f - 35 = -0*d + d, -30 = -3*f - 3*d. Let m(b) = b + 1. Let p be m(f). Solve -h*j = -0*j - p for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 215386.\nAnswer: 2, 107693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*c**3 - 14*c - c**2 - 34 + 74 - 41 + c**4 + 0*c**2 as m*c + x*c**3 + s*c**4 + t*c**2 + b and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 576\/(-14) - (20\/56 + 3 + (-14)\/4).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -1372292, 5 in decreasing order.\nAnswer: 5, -2, -1372292","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Let l be (-24)\/(-48) + 6\/4. Let m(q) = -q**2 - 56*q - 495. Let g be m(-11). Factor 4\/19*k**4 + 0*k + g*k**l + 0*k**3 + 10\/19*k**5 + 0.\nAnswer: 2*k**4*(5*k + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 12357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**2 + 2541576*r - 807451070472.\nAnswer: -2*(r - 635394)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -19*u**2 - 6*u - 25. Let f(c) = -9*c**2 - 3*c - 13. Let k(h) = -13*f(h) + 6*w(h). List the prime factors of k(-8).\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34 - 42 = 4*o. Let l(b) = -2*b + 3. Let a be l(o). Calculate the greatest common factor of a and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -2*t + 12. Let q(g) = 3*g - 13. Determine 6*d(k) + 5*q(k).\nAnswer: 3*k + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -k**3 + 9*k**2 + 12. Let l be -6*(21\/9 + -3). Suppose l*w - 26 = -2*p, 4*w - 4*p - 1 = -p. Calculate the remainder when m(9) is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.931966 days to milliseconds.\nAnswer: 80521862.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 18, g: 1, k: 1}?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -1, 0, 3 in ascending order.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 452900360?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor y**2 + 1613*y - 230340.\nAnswer: (y - 132)*(y + 1745)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l**3\/3 - 56*l**2\/3 + 784*l\/3 = 0. Calculate l.\nAnswer: 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2824190 + 35481421 = 71*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2673) + (sqrt(2673) - 3*(sqrt(2673) + sqrt(2673)*-1 + sqrt(2673))) - sqrt(2673))\/((-2*sqrt(132)*-1)\/sqrt(12))*-6.\nAnswer: 54*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 34033 is divided by 191?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (171 - 345 - 6*u + 7*u**2 + 7*u**2 + 176)*(-45 + 45 - 6*u).\nAnswer: -84*u**3 + 36*u**2 - 12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 3*q**3 - 5*q**2 - q - 272. Give u(0).\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -661*v**2 - 6*v - 12. Let f be d(-17). Is (-8)\/6*(2 + f\/14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -1044.73 and -125.\nAnswer: -1169.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h + 3*h = 0. Suppose h = -5*z - 4 + 9. Suppose 4*x + z = 33. Calculate the smallest common multiple of x and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1015 from 361.\nAnswer: 1376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 198 and 132.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 14 + -7. Let f = 9 - d. Let b = 4 + -2. Solve 0 = b*z - f*v, 3*z - 3*v = 2*z + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12)\/21*28\/(-40)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10398?\nAnswer: 2, 3, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4\/(-24)*4*-1. Is l bigger than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 80846, 161056, 241266?\nAnswer: 321476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/6)\/(1\/((-18)\/(-4))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7528917, 15057840, 22586761, 30115680, 37644597, 45173512?\nAnswer: 52702425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 25, 1, 4, 8, 37 in ascending order.\nAnswer: 1, 4, 5, 8, 25, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide 395102264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -47*x + 413. What is c(10)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6*1\/2*1)\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 107315270?\nAnswer: 2, 5, 2239, 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 813*a = 806*a + 33229. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -45 and -0.8.\nAnswer: -45.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1 and 210011172352.\nAnswer: 210011172351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -a**3 + 28*a**2 - 35*a + 179. Let p be s(27). Calculate the remainder when -20*(-1 + p\/5) is divided by 55.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 401836751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 2*j**2 - 145. Let a(w) = 267*w. Give g(a(s)).\nAnswer: 142578*s**2 - 145","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 603 is divided by 38.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 1071\/441 + 8\/14\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + ((1 + sqrt(7))**2 + 2 - (-1 + sqrt(567))).\nAnswer: -7*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 14 = -2. Let u(p) = p**2 + 4*p + 2. Let i be u(j). Suppose x + i*x - 6 = 0. Solve s = 5*b + 5, -1 = x*b + 1 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*r + 7 = 10*r + 6*r - 5*t + 28, 235 = -3*r + 101*t for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 1 - 13)*(0 + 0 - 2*f).\nAnswer: 16*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -15.9 times 6.7\nAnswer: -106.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 172 minutes before 2:52 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -6*w + 4. Let x(c) = -c + 1. What is s(q) + 6*x(q)?\nAnswer: -12*q + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -58, -65, -78, -97?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (3 + -2 - -23)*1. Suppose v + 94 = 5*n, 0 = -5*n - 3*v + z + 74. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) -0.4  (b) -0.2  (c) -2  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = -5*y + 59, -5*y + 68 = 3*s + 25. Let x be y\/(121\/79) + -7. Let h = -0.2 + -0.3. Which is the fourth biggest value?  (a) 2\/9  (b) 3\/4  (c) x  (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = u**3 + 3*u**2 - 2*u - 1. Let b be a(-3). Suppose -2 = -b*i + 13. Suppose 65 = 5*s - 4*d, -4*s = -s - i*d - 39. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*v**2 + 0*v**2 - 5*v**2 - 12*v**2.\nAnswer: -13*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = -3*q - 2276. Suppose a - 4*i + 1139 = -5*i, -2*a - 4*i - q = 0. Let c = -5240 - a. Round c to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 16323753.86 and -0.5.\nAnswer: 16323753.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 448*a + 3409. What is i(-12)?\nAnswer: -1967","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 2607210*20.8\nAnswer: 54229968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes after 6:25 PM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 divided by 12.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 165300 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 - 13 = 3*p. Let d(x) = -x**2 - 4*x + 1. Let n be d(p). Let g be 4\/(-12) + 7\/12. What is the second biggest value in -0.2, n, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((2 + sqrt(80))*5)**2 - sqrt(80))*-4 + (-5 + (-5 + sqrt(80))**2 - sqrt(80))*2.\nAnswer: -8200 - 1672*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22118 is divided by 496.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/25 of a micrometer in nanometers?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.97 + 2.47. Let w be (-3)\/(-2)*4\/15. Sort -2, i, w, -14 in ascending order.\nAnswer: -14, -2, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:33 AM and 12:43 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 13 - 13. Let n(z) = -3*z**2 + v*z**2 + z**2 + 4*z**2. Let x(m) = 6*m. Calculate x(n(c)).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 634650*i*p**2 - 76*i*p - 29869*p wrt p.\nAnswer: 1269300*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-6)\/(-3) - (-24)\/(-13). Suppose 2*j + 2 = 4*i - 3*j, 6 = 4*i - 3*j. Sort p, -1, i, -2 in ascending order.\nAnswer: -2, -1, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 112, 169, 262, 409, 628?\n\"Answer: 3*d**3 + 36*d + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (74\/(-37))\/(1\/((-2)\/2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 102, 5, -3, -2 in decreasing order.\nAnswer: 102, 5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5  (b) -2  (c) 88  (d) -3  (e) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-22)\/((-792)\/(-9)))\/((-7)\/8)*105.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2771.9194 + -3056.886. Let f = 285 + b. Round f to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 - -1. Let a be 0 + 12\/(r*1). What is the units digit of ((-20)\/6)\/(4\/a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (124*y + 230*y - 228*y)*(-y + 3*y + 0*y) to x*y + g + t*y**2 and give t.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t - m + 2 = -6*m, 2*t - 14 = 5*m for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 9*s - 100 = 0. Suppose 5*f - s = 2*o + 16, 2*f - 18 = 2*o. Let c(m) = m + 6. Let k be c(f). Solve 2*p = 5*p - k for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 249, 666, 1359, 2328?\n\"Answer: 138*j**2 + 3*j + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - l - f + 20 = 0, -f = 2. Let b = 10 + l. Let s be 3*1\/(-3)*-4. Put -3, s, b in descending order.\nAnswer: s, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*o - 3*s, 2 = 12*s - 13*s for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 5*a. Let m(d) be the third derivative of d**5\/30 + 6*d**2. Calculate p(m(s)).\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 2, 11 in descending order.\nAnswer: 11, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 114*o**4 + 14*o**3 - o**2 - 454*o - 64258596?\nAnswer: 456*o**3 + 42*o**2 - 2*o - 454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*l**4 + 32104*l**3 - 137489*l**2 + 132884*l - 27492 = 0.\nAnswer: 2\/7, 1, 3, 4582","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:28 PM and 2:52 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -f**2 + 4*f + 13. Let h be o(6). Let u be (-1)\/(-25) + (-58006)\/(-4850). Let p = -0.3 - 0.2. Which is the closest to h?  (a) u  (b) p  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*c + 8*c + 16*c)*(0 + c**4 + 0*c**4 + 2) - 14*c**5 + 18 - 18.\nAnswer: 2*c**5 + 32*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g - 4*s - 60 = 0, -822*s = -11*g - 819*s + 149 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.014201782 to six dps.\nAnswer: 0.014202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x\/(x\/(x*(x*x\/x**(-1\/4))\/x)*x)*x**(-2\/11)*(x*x**(-2))**(2\/85) assuming x is positive.\nAnswer: x**(3907\/3740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*f - 1 - 3. Suppose 5*m = -5*t - 40, -t - 4*m = -5*t. Let i = t - -4. Sort i, f, 3.\nAnswer: i, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 332 + 93 = 25*g. Find the second derivative of -68*a**2 - 37*a + g*a + 15*a + 26*a wrt a.\nAnswer: -136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the third derivative of -j**4\/6 - j**3\/6 - j**2. Let w be v(-1). Suppose 2*n = -w*n - 20. Sort 1, -3, n in decreasing order.\nAnswer: 1, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g - 4*j - 31 = 1, -10*j + 7 = 67 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 276856607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3, -1.27, 2\/5, -3\/5, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {m: 1, j: 2, l: 6, a: 2, e: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 4*m - 5 = 0, -3*g + 75 - 50 = 2*m. Let x(v) = -2*v - 11. Let f(l) = -3*l - 21. Determine g*f(y) - 9*x(y).\nAnswer: 3*y - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 2*z - 31. Let b = 236 + -219. Let k be q(b). Solve 0 = k*t + 2 + 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 25*y - 22*y - 603. Is y a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 6885366\/(-24)*(-4)\/1. Let v = g + -717561. What is v rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = g**3 + 5*g**2 + 7*g + 4. Let h = 2 + 4. Let f be (2\/(-1))\/(3\/h). What is u(f)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1000010 (base 2) in base 8?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in thirty-one sixths of a year?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/(-9) - 79\/72. Let u = -44 - 3.8. Let j = -48 - u. Are w and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1085 - 1078. Let s(n) = -5*n + 13. Give s(f).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*w - 1035 = -15*w + 54*w for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 121 + (-28 - (-12 - (-40 + 35))).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-37*(-89)\/6586*(-12)\/(-58))\/(-1)\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1390512 = -17*o - o - 30*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.5, -2, -121667?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -3*q**2 - 6*q + 145. Let i(j) = 459*j + 12. Calculate a(i(r)).\nAnswer: -632043*r**2 - 35802*r - 359","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 62126969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 190707492, 190707494, 190707496, 190707498, 190707500?\n\"Answer: 2*x + 190707490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5694462 and 31266?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 10211 (base 3) to base 10\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -235307 divided by 1\nAnswer: -235307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 83\/45 and 26\/55.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 38*n**3 - 20*n**2 + 94*n + 3. Give x(3).\nAnswer: 1131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.02 and -89025.6.\nAnswer: -1780.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) be the third derivative of y**5\/60 + y**4\/6 + 2*y**2. Let w(l) = 4*l**2 - 5 + 3*l + 5*l**2 + l**3 + 5*l. Let r be w(-8). Give x(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -881*d**4*h**3*z + 2*d**4*h**3 - 11*d**2*z + 4*d*h**3 + d*z wrt d?\nAnswer: -21144*d*h**3*z + 48*d*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m**2. Let i(v) = 18*v**2 + 419. Let z(y) = -4*y**2 + 2. Let r(c) = i(c) + 5*z(c). Determine q(r(h)).\nAnswer: 4*h**4 - 1716*h**2 + 184041","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*x - 2*x**2 - 3*x + 2*x - 2*x**2 - 2*x + 2*x - 2*x**2 - 2*x + (-2 + 4 - 1)*(x**2 + 4 - 4) - 1 + 1 - 2*x**2 + (-2*x**2 + 2*x**2 - 2*x**2)*(-21 - 47 + 0).\nAnswer: 129*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r**2 - 6*r + 14. Let q be i(-7). Let c be (-9)\/(9\/26)*q\/(-2). Suppose -3*x + c = -68. Is 12 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24915079 = 33*s + 24913363 for s.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -115\/4 + 13\/4. Let f = s - -25. Which is the third smallest value?  (a) f  (b) -2\/7  (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((q**2 + 0 + 0)*(2*q**2 + 0*q**2 + 0*q**2) + 2*q**4 - 17*q + 17*q)*(2 - 2 - 2*q).\nAnswer: -8*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 78660458041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 16*c - 3. Calculate the smallest common multiple of 7 and n(1).\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {q: 2, c: 4, n: 3, g: 10}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1293?  (a) 0.1  (b) 0.5  (c) 2\/9  (d) 0.06  (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -0.646 * -5\nAnswer: 3.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 18*r + 98. Let j(g) = -17*g - 97. Let t(k) = 3*f(k) + 4*j(k). Let p be t(-7). Solve -2*y - 23 = -5*a + 5, p*a = 5*y + 36 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/(-344) + 13284\/(-27864).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 328, 4, 1, -7618 in decreasing order.\nAnswer: 328, 4, 1, -7618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 89 minutes before 1:07 PM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -83*d**3 - 3784*d**2 - 2322542*d?\nAnswer: -498*d - 7568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2381599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6298769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2535 and 8125.\nAnswer: 316875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is (-6266)\/(-4) + -2 + (-25)\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2015 * -0.049.\nAnswer: 0.0098735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1723 + 16?\nAnswer: 1741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((2 - 3 - 1)*(-1 - 5 + 4) + 7 + 4 - 6)*(-5*y - 5 + 5) to t + l*y and give l.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 866?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 851 - 851.1. Which is bigger: 32 or a?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 853808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.037313 rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t. Let f(y) = -81*y**2 + 584. Give f(b(v)).\nAnswer: -81*v**2 + 584","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:52 AM and 7:08 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 2091 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*3*(sqrt(612) + 2)**2*-1.\nAnswer: -9240 - 360*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -8*u - 197. Let o be x(-25). Let k be (o\/(105\/14))\/((-1)\/(-20)). Let v(f) = 2*f - 8. Give v(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3 - 76. Let j = -78.919 - q. Round j to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 82371748 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the first derivative of -4609*m**2 - 10084*m + 6405. What is the first derivative of d(x) wrt x?\nAnswer: -9218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 9\/37 or 1?\nAnswer: 9\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -7*n**2 - 11*n - 6. Let q(u) = 8*u**2 + 12*u + 6. Let s(g) = -6*q(g) - 7*t(g). What is the units digit of s(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -27*c + 4223 - 3926 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -c**3 + 7*c**2 + 28*c + 56. Let t be w(-6). What is the greatest common factor of t and 9078?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (38*p - 22*p + 48*p)*(1 + 5 - 5) to the form b + g*p and give g.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 11726293?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -52*f**2*n*s**2 + 2*f**2*n*s - 6*f*n*s + 14773*f*n + f*s**2 + 526*n*s**2 + 2 wrt s.\nAnswer: -104*f**2*n + 2*f + 1052*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*o + o + 8*o)*(o**4 - 4*o**4 + o**4) + 2*o - o**5 - 2*o + (0*o**2 + 2*o**2 + 0*o**2)*(-5*o**3 + 2*o**3 + o**3) - o**5 + 3*o**5 + 4*o**5.\nAnswer: -7*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 889*o - 1989. Is k(5) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 248231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -i**3 + 3*i**2 + i + 3. Let w be q(3). Suppose -2*f - 3*f = 2*z + w, 3*f - z = 3. Solve 0*k + k = f for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that -3*b**5 - 360*b**4 - 699*b**3 + 1074*b**2 + 1404*b - 1416 = 0.\nAnswer: -118, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -208 divided by 187498\nAnswer: -104\/93749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((sqrt(363) - ((sqrt(363) - (sqrt(363) + -1 - sqrt(363))) + -3))*6 + sqrt(363)*2*3 + 1)**2*-4.\nAnswer: -158844 - 20592*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-3)*r)**(-7\/9)*(r\/(r\/r**(-1\/3)))\/r**2 assuming r is positive.\nAnswer: r**(-7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6*t + 7*t - 2*t - 2)*(15*t**3 - 6 + 1 + 5) in the form o*t**3 + s + n*t + l*t**4 + w*t**2 and give o.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 24864 to the power of 1\/2, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -737, -3229, -7373, -13163, -20593, -29657?\nAnswer: -40349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in 16, -2, 1, 664\/25, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 22430220 (base 5) to base 15\nAnswer: 3ec75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 15305 - 15242. Solve 64*s - 73*s = -f for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 59*t = 419 + 492 - 85 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (sqrt(176) - (-2*sqrt(176) + -2)))**2 - -5*(2 + -1*sqrt(396))**2.\nAnswer: -72*sqrt(11) + 3588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 193536, 192779, 191518, 189753, 187484, 184711?\nAnswer: 181434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 16*h**2 - 4*h + 0*h + 3*h + 37*h**2 to v*h + c + i*h**2 and give i.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2588 and 300788359.\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let -5\/4*p**3 + 5\/4*p - 7\/4*p**4 + 9\/4*p**2 - 1\/2 = 0. Calculate p.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -86*g + 89*g = -3*f + 12, 2*f = -g + 4. Let d = 0.07 - 5.07. What is the smallest value in g, d, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 219137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 7977.007 weeks in seconds?\nAnswer: 4824493833.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*v - 66 = 3*v. Find the third derivative of 12*x**5 + 0*x - 5*x - 15*x**2 + 3*x**v + 13*x**2 - 19*x**5 wrt x.\nAnswer: 360*x**3 - 420*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -7.66 and -2?\nAnswer: 5.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 57\/5 of a centimeter?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - f - 12397 = 0, -2*m - 13249 = 3*f + 11542. What is m rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -6*t + 72. Is 2 a factor of g(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 17142 - 288*i - 17142 in the form d + f*i and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = 13*m + 20. Let j = 24 + -26. Suppose -4*r = 2*g + 22, 0 = -3*r + 1 - 10. Sort g, m, j.\nAnswer: g, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2413 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 311, 653, 1003, 1361?\nAnswer: 1727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*895062.\nAnswer: -2685186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -2*z + 3. Let r(a) = -2*a + 4. Calculate 5*r(h) - 6*y(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-24)\/180)\/(14\/(-30)*-3).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.3206702 rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x + 3*u - 1699, 0*x + 5*u = x - 419. Let m(j) = -j**3 - 24*j**2 + 54*j + 55. Let c be m(-26). Suppose -c*f - 34 = -x. Does 51 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (3\/(-2))\/(1\/(-4)). Suppose -h + 3*k = 2, 4*h + m*k - 43 = k. Let o(t) = 2*t**3 + 4 + 3*t**2 - t**3 - h*t + 2*t**2 - 13. What is o(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 351900 and 680.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2043 - -240?\nAnswer: 2333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.17627899 rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*a**2\/5 - 200986*a\/5 - 80396.\nAnswer: 2*(a - 100495)*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 78408 divided by -396.\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 313*f**2 + 72*f**2 + 20*f**2.\nAnswer: 405*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the second derivative of -10*w**3\/3 - 178*w. Let y(a) = -4*a**2 + 3*a. Let s(p) = 11*p**2 - 8*p. Let x(d) = 3*s(d) + 8*y(d). Determine n(x(f)).\nAnswer: -20*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 24887\/15422 + -16\/701. Find the common denominator of s and 53\/5324.\nAnswer: 5324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.5124*-0.1.\nAnswer: -0.05124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -143 = -21*h - 29*h - 493 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 1594*-1\nAnswer: -1594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -34 + -21 - -36 - (1 - 15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 65?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -440 (base 5) in base 8?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 396708461 to the power of 1\/4, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3  (b) 1.42  (c) 6\/11  (d) 20  (e) 29\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z\/(z\/z**(-7)))\/z**(-2\/11))\/(z**(-1\/6)*z)**(-25))**(-5\/2) assuming z is positive.\nAnswer: z**(-4625\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -14 + 8 - 2 - ((-4 - (0 + 25)) + 7).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1002)\/((-9)\/(-6) - 3). Let n = i + -477. Suppose 0 = -3*g + n - 2. What is the highest common divisor of 7 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -1 + (1 - -30) + -1. Suppose 8 = 2*z + 2. Suppose -z*x + a = 8. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u - 6 - 3 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12883?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -5*n + 3*n + 4*n. Let i(b) = 24*b + 102. Let s(z) = -4*z - 25. Let w(g) = -i(g) - 4*s(g). Calculate h(w(p)).\nAnswer: -16*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 185 - 181. Suppose -z + 3 = 0, i*a - 1730 = -a - 5*z. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 63756 and 4132548.\nAnswer: 45458028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q**3 - 6*q**2 + 2*q - 4. Suppose 28 = -0*k + 4*k. Let r be l(k). Suppose -4*d = -4*f + 228, -3*d - r = -f - d. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 756 is divided by 634?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8 - 3. Suppose -2*k = r + 53. Let a = k - -43. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 50.83524cm?\nAnswer: 0.5083524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (13 - 16)\/((-6)\/40). Let k(c) = -6*c + u - 39 + 14 - c**2. Let d be k(-2). Solve -3*p = -0 - d for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -383977298.99999965 - -383977309. Let y = 21 + -31. Let p = y + n. What is p rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*t + 94 - 130 = 0 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*o**3 - 1 + 121*o - 119*o - 2 - o**3 - 11*o**4 to the form i*o**2 + j + x*o**4 + s*o + r*o**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(700)\/sqrt(2))\/(sqrt(2) + sqrt(98)*-4 + sqrt(2)).\nAnswer: -5*sqrt(7)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 11439, 3, 18 in ascending order.\nAnswer: 3, 18, 11439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 42979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/6*(-559)\/(-86)*3. Suppose -9026 = -f*j + 347. List the prime factors of j.\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 36076 and 53476?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(475) + (sqrt(475) + (sqrt(475) - (2*sqrt(475))**2))*-5 + (sqrt(475) + 2)*-2)*2.\nAnswer: -110*sqrt(19) + 18992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 109053.2 micrometers?\nAnswer: 0.0001090532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 20 = -t - 61, 0 = -5*d - 4*t - 98. Let l = -42 - d. Let a = l - -57. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 42 + -25. Let z = 3 + j. Let l be (-4)\/z + 2\/4. Is 1 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -38*b**3 + 2122*b - 3 + b**2 - 2 - 2123*b + 3 + 4 as l*b**3 + i*b**2 + t + d*b and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p**2 - 7*p + 1. Let v be f(7). Let i be (-2 + 0 + 3)*(32 - 31). Solve -2*y - v = i for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1496226 - -2698226. What is b rounded to the nearest 10000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.1 - 0.7. Which is the smallest value?  (a) -0.2  (b) 0  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d - 37 = 35*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -46 + 53. What is the closest to 2\/9 in 1, p, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001220509 rounded to 4 dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -82 by -633438.\nAnswer: 41\/316719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 1317*u**2 - 1. Let p(n) = 2*n**2. What is p(q(t))?\nAnswer: 3468978*t**4 - 5268*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**7*j*j*j**(-9)*j)\/(j\/j**1)**(-4\/3) assuming j is positive.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 83078.42mg?\nAnswer: 83078420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24 = -2866*i + 2890*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -x**3 + 2*x**2 + 3*x + 3. Let u be h(3). Let v = u + -12. Let f = v + 13. Solve -9 = -f*w - 5*l, 5*l - 29 = 2*w - w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 74\/111*45\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 7*(-8)\/420 - ((-1788)\/(-90) - 0)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2962, -2877, -2738, -2545, -2298, -1997?\nAnswer: -1642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 0 + (5 + 1 - 4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7.5 + 8.5. Suppose -g = -2*g. Let w be (0 + g + 1)\/(-1). Which is the nearest to w?  (a) -4  (b) -1\/4  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (15\/3)\/(1\/4). Let z = x - -3. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -184*b - 268 + 31 = 131. Put 108, 4, -5, 0, b in decreasing order.\nAnswer: 108, 4, 0, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 - 3*k + 3*k - k)*(-2*k - k + k).\nAnswer: 2*k**2 + 12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50823*w - 1 = -50822*w - 3*u, w + 25 = -3*u for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.157 + -2.843. Suppose 2*i - 21 = -i. Sort i, w, -0.3 in increasing order.\nAnswer: w, -0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 423*d - 2533. Let f be a(6). Let b(l) = -11*l - 7. Let n be b(-6). Suppose -6*o + f*o + n = 0. What are the prime factors of o?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 45 and 828?\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:19 PM and 8:23 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -31.3 - -31.8. Let g = -28\/45 + 2\/9. What is the nearest to g in -0.5, 1, a?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 128 and 240.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the first derivative of -j**3\/3 + j**2\/2 + j - 13. Determine z(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 90 minutes before 12:05 PM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5929) + (sqrt(5929) + -3*sqrt(5929) - sqrt(5929)) + sqrt(5929) + sqrt(49) - sqrt(196)*3)\/(sqrt(1372) - sqrt(7) - 5*sqrt(7)*2).\nAnswer: -16*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i\/i**(-3\/34))**(8\/11)*i**(-39)\/(i\/(i\/(i\/i**(-36)*i))) assuming i is positive.\nAnswer: i**(-14115\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (5562\/(-72))\/((-3)\/8). Calculate the common denominator of (91\/(-21))\/(-13) - w\/42 and 323\/77 + 4\/(-14).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 43. Let l(d) = -408*d + 255. Determine l(u) - 6*m(u).\nAnswer: -408*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6511597.\nAnswer: 6511597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 13631\/462 + -1\/231. Find the common denominator of w and 2 - (-6)\/(-21)*31.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(2420) - sqrt(2420)*-2))\/(sqrt(640)*-1*-1).\nAnswer: -99*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 252101 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 13*c**2 - 551*c + 62. Calculate h(41).\nAnswer: -676","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 59.536445 rounded to one decimal place?\nAnswer: 59.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*a - 32 = -5*a. Let c(k) = 3*k**2 - 9*k - 35. Is c(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = -2*k + 3*m + 368, -m - 546 = -3*k. Let v = k + -69. 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: Suppose 56 = -19*k + 33*k. Let t(j) be the first derivative of -j**4\/4 + 2*j**3 + 3*j**2\/2 - 56. Determine t(k).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - 71 - (-16 + -31)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1 - 0)*(0 + -3). Let r = -3 + p. Suppose r = 5*q - 2*q - 30. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3426 + -143?\nAnswer: 3273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(-3\/4)*z*z*(z\/((z\/z**(-16)*z)\/z))\/z*z)\/(z\/z**(-15)*z)**(-16) assuming z is positive.\nAnswer: z**(1033\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = 3*l - 6*l. Let i = l + 3. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000845 to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m - 43. What is v(-13)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 1\/5 of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00008170755 rounded to 7 decimal places?\nAnswer: 0.0000817","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = 5 - 11. Suppose 0 = 3*s - 5*o + 3 - 2, -4*o = -q*s + 1. Solve 0 = 3*w + 5*p + 20, 4*w - 16 = 7*p - s*p for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**2 + 8. Suppose 3*b - 3 = 0, -12*x + 9*x = 3*b - 3. Let j be g(x). Let c = -8 + 8. Solve c = -s + v - 1, j*s = 3*s - v - 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*l + 47 + 0 - 15 + 23 + 4*l in the form p*l + x and give x.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-13)*r**(-8))\/(r**(1\/2))**26 assuming r is positive.\nAnswer: r**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*c**3 + 16*c**3 - 79*c**3 + 15*c**3 + 29*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -2108, -3874, -5640, -7406?\n\"Answer: -1766*g - 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: What is 3b (base 16) in base 14?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 69876*q - 7267098. Give c(104).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.25 - -3.25. Which is the second biggest value?  (a) -0.4  (b) z  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -9, -3, 69\/4, -740\/7, -2\/9?\nAnswer: 69\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -5  (b) 1  (c) 6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5 - -a6?\nAnswer: a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(704))**2 + sqrt(11) - (sqrt(1100) + -3).\nAnswer: -41*sqrt(11) + 711","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 189*h - 187*h. Let f(z) be the first derivative of 7\/5*z**5 + 10 + 0*z + 0*z**h + 0*z**4 + 2*z**3. Find the third derivative of f(t) wrt t.\nAnswer: 168*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 205879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -117676831*0.3.\nAnswer: -35303049.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -3*z, 3*a - 357*z + 353*z = 18. Solve 3*v - 1 = 2*y + 9, -a*y = 3*v - 14 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 287 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1, 4\/23, -48, -0.21?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -2*r + 3. Suppose 3*q - q = 10. Let u = -6 + -2. Let s(k) = -k - 1. Let o(c) = 2*c + 10. Let p(z) = o(z) + 5*s(z). Calculate q*p(v) + u*a(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -121762911 divided by -1?\nAnswer: 121762911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qttrtqqqvvyq. What is prob of picking 1 q and 1 t?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1739 - 651 + 289)*(-o**3 - 2*o**2 + 2*o**2 + (4*o**2 - 3*o**2 + o**2)*(2*o - 3*o + 0*o)).\nAnswer: -4131*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -423499*u**2 + 291298.\nAnswer: -846998*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**3\/3 + 234*r**2 + 2*r\/3 - 234.\nAnswer: -2*(r - 351)*(r - 1)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 90094913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2909141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -8\/35 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11 - -102011112?\nAnswer: 102011200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -186, -175, -156, -129, -94?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -58, -128, -198, -268, -338?\nAnswer: -408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in fourty-nine fifths of a century?\nAnswer: 980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-23)\/2668*29 - 15\/(-52).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -8 + 4. Let w = -3 - b. Let g = -0.5 + 0.3. Put w, g, 0 in decreasing order.\nAnswer: w, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32574 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -94 - -62. Let l = o + 38.3. Let g = l - 1.3. Which is the second smallest value?  (a) g  (b) 1  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 49\/1280 and 39\/160?\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -116*o**3 + 3*o**2 + 5*o + 3. Let l(n) = 115*n**3 - 4*n**2 - 6*n - 4. Determine -5*l(b) - 6*u(b).\nAnswer: 121*b**3 + 2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -6*4\/12 + (28 - -1). Let f = a + -176. Round f to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -o + 2. Let c(m) = -3214 + 1609 + 1604. Calculate 3*c(f) + 2*i(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 54328121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - (7 - 7 - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16\/68*1*(1360\/(-1952))\/(-5)?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2916 = 4*x - i, 0*i = -5*x + 3*i + 3638. Let t = x + -150. Suppose a = 3, -4*g = 5*a - t - 1399. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1767825)\/38475 + 1\/(-19).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/7 - (-25848)\/84. Suppose 4*t - 2*c - 88 = g, -3*c = 6. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.76421 - -0.36421. Let j be ((-6)\/(-4))\/((-18)\/(-2)). What is the fourth smallest value in j, z, 0.3, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 3 + 2)*(0*h + 3*h - 2*h) - 2*h + 2 - 2 - 1 + 18*h + 3 - 19*h.\nAnswer: 5*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 47c - a?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 16 - 12. Suppose -2*v = -6*v - 2*w + 28, 0 = -v + 4*w - 11. Which is the nearest to 2?  (a) -2  (b) v  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = l**2 + 5*l + 2. Let k be t(-5). Suppose -1 + 5 = k*o. Let s be (-1)\/(-6)*2*o. Put 1\/4, -0.3, s in ascending order.\nAnswer: -0.3, 1\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -315933*0.02\nAnswer: -6318.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4588\/17 - -270. Let s(o) = 2*o**2 + 22*o. Let l be s(-11). Which is the third smallest value?  (a) l  (b) -3  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10 - 10*j**3 + 26*j**2 - 10.\nAnswer: -10*j**3 + 26*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 2*n - 117851988 = 0, 2*i + 118*n + 58926006 = 117*n. What is i rounded to the nearest 100000?\nAnswer: -29500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 4*r**2 + 7*r + 2. Let q(s) = 6*s**2 + 3*s + 7. Let t(m) = 2*m**2 + 3. Let b(g) = -q(g) + 2*t(g). Determine -7*b(h) - 3*k(h).\nAnswer: 2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -11*z**3 + 5*z**2 - 1. Let s(b) = -22*b**3 + 11*b**2 - 2. Let i(x) = -13*r(x) + 6*s(x). Is i(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 3184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (3*sqrt(539) - sqrt(539)) + 2)**2.\nAnswer: 28*sqrt(11) + 2157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -333 times 30?\nAnswer: -9990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2903.\nAnswer: 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8920)\/6690)\/(-1*4*3\/(-306)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 827044519?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j**3 + 11*j**2 - 10*j - 14. Calculate f(10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -587 + 587. Suppose 0 = -3*h - 3 - 0. Sort t, 4, h in ascending order.\nAnswer: h, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1b8 + 132d?\nAnswer: 1155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 284*u - 8850 = 107*u. Let f = 171 - 111. Calculate the smallest common multiple of f and u.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1254536 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -234776722 divided by 1162261\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7 - 7. Let r(x) = -x**3 + x. Let y be r(z). Suppose 12 = -y*t + t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 178*d - 16092 = -277*d - 82*d - 61200 for d.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y**(1\/52))**(20\/9))**(-11\/3))**43 assuming y is positive.\nAnswer: y**(-2365\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2266092 and 2052.\nAnswer: 6798276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -56 - -59. Suppose m*u + 3*d = -3, 2*u - 6*u + 14 = -5*d. Let h(k) = 1900000*k**2 + 3*k - 3. Let z be h(u). Round z to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 222 + -96.5. Let p = 125 - v. Let h = -13\/30 + 3\/5. Which is the second biggest value?  (a) p  (b) 0.4  (c) -8  (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 137604497 rounded to the nearest one hundred thousand?\nAnswer: 137600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 17*o**2 - 17*o**2 + 16*o**5 + 5*o**5 + o - o + (4*o**2 - 5*o**2 + 0*o**2)*(2*o**3 + 3*o**3 - 6*o**3) - 2*o**3 - 4*o**4 + 4*o**4 + o**5.\nAnswer: 23*o**5 - 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3256 + 3292. What is the remainder when 1219 is divided by b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1\/9  (b) -12  (c) -1\/7  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 147 = 3*z - z - 3*d, -3*z - 2*d = -214. Find the second derivative of 49*q - z*q - 4 + 4 - 24*q**2 wrt q.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:16 AM and 2:06 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 47 + -65 + (-57 - -108).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 136914998 times 4\nAnswer: 547659992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*t + 46*t - 10*t - 22*t + 4*t.\nAnswer: 11*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c**3 - 6*c**2 + 4*c + 5. Calculate i(-7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*k + 3*k - 2. Let d = 3 + k. Suppose 28 = d*n + a + 9, 0 = -2*n + 2*a + 10. Is n a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-96)\/(-15) - 27209\/4485\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 10*-1110\nAnswer: -11100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3000591 is divided by 66678?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2773*x**2 + 2*x + 5591 wrt x?\nAnswer: 5546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -41\/2 - -20. What is the closest to 0.1 in 1\/5, -5, f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -2\/3  (b) 10993  (c) -1\/7  (d) 5  (e) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 26*i + 6. Let z be y(3). Suppose -5*n = 137 + 58. Let p = z + n. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -132 (base 9) in base 8?\nAnswer: -156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 0*o + 6 + o + 2 - 2. Let a be g(-4). Calculate the greatest common divisor of a and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-26)\/n)\/n**(-28)*(n**15\/n)**(14\/11) assuming n is positive.\nAnswer: n**(207\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.11083639 to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m**3 - 2*m**2 + 9*m - 14. Let t be o(4). Let q = 53 - t. Let y = q + 5. What is the least common multiple of y and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 80*n - 121 = 919 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -10.897 to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6921 and 822061.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = 6*w + 4576. Let m be (-6)\/8 - w\/32. Suppose 2*h + z + z - 10 = 0, -4*h - z + m = 0. What is the lowest common multiple of 3 and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 20, 47, 78, 113?\n\"Answer: 2*y**2 + 21*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4561?\nAnswer: 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the second derivative of 7*c**5\/120 - 10*c**3\/3 - 37*c. Let y(p) be the second derivative of o(p). Let g(z) = z**2. What is y(g(l))?\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -10 + 76. Let z be (286\/(-16) - -1)*4. Let k = z + v. What is the closest to -1\/2 in k, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t**3 - 43*t**2 - 71*t + 458. Determine m(-41).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -63*j + 9405. Calculate n(135).\nAnswer: 900","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -10 + -31. Let s = -39 - u. List the prime factors of (-115)\/(-3) + s\/3.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 43 - (198 - 142) - -88?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35 + 5*v - 26*v + 20*v.\nAnswer: -v + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 53 - 32. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**2\/3 - 2828*y\/3 - 4705.\nAnswer: -(y + 5)*(y + 2823)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.77735 rounded to 3 decimal places?\nAnswer: -0.777","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 831741649 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the second derivative of -n**4\/12 + 16*n**3\/3 - 31*n**2\/2 + 2*n - 44. Let u be f(31). Solve 2*q - 2 = x + 6, u = -3*q + 3*x + 9 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(45)\/sqrt(5) + sqrt(9)))\/sqrt(3) + 5.\nAnswer: 5 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 greater than 3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -69 - 16 = 5*o - 6*n + 116, -8*n = -2*o + n - 318 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gt when two letters picked without replacement from {m: 1, g: 2, t: 1, u: 1, j: 1, c: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -29*k - 217. Let u be x(-45). Calculate the greatest common factor of 192 and u.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1  (b) -1  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -24, 1762, 1 in decreasing order.\nAnswer: 1762, 1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*x + 13*x. Suppose 66*i - 28*i - 32 = 30*i. Solve -2*d - 5*p - 23 = x, -i*d = -9*d - p for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3652750382.\nAnswer: 2, 23, 157, 505781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3759250 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3001*g - 70943 = 4082 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 5*q**2 + 65*q + 2. Let k(t) = -t**2. Determine -3*k(v) - m(v).\nAnswer: -2*v**2 - 65*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1 - 0. Suppose 0 = 3*v - 3*h - 15, v + 4*h + 22 = 6*v. Suppose 8 = -6*s + v. Does s = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1809 - 0.2?\nAnswer: -1809.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 7522868586?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 6797*y - 2902309. Calculate j(427).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {g: 11, n: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(660)\/(sqrt(48)\/sqrt(4))*-5)\/(4*(sqrt(55)*-1)\/sqrt(11))*1.\nAnswer: 5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9\/(84\/70*30\/(-48)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z**2 - 16*z - 44. Let i be v(-4). Solve f = -2*f + 3, 0 = -i*b + 3*f - 23 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/1974 and -139\/120414.\nAnswer: 120414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 13614 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yee when three letters picked without replacement from {p: 3, z: 2, y: 4, e: 6, m: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2710927 divided by 1.\nAnswer: -2710927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 29361, 58726, 88091, 117456, 146821, 176186?\nAnswer: 205551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 - -22. Let y be 16\/3 - 2\/6. Suppose -y*t + r + 11 = 0. Is 3 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = f**3 + 4*f**2 - 13. Let g(d) = 2*d**3 + 9*d**2 + d - 25. Let l(z) = -3*g(z) + 5*h(z). Let a be l(-6). Which is bigger: a or -10?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8765127.\nAnswer: 3, 7, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -20 + 5 + 10*j + 11 + 2 to c*j + y and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -142 by 1.\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -2*n**2 - n. Let u = 3 + 4. Let i(c) = -c**2 + c - 1. Let p(q) = -5*q**2 + 10*q + 5. Let t(h) = 4*i(h) - p(h). Let f be t(u). Give y(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3359, 3378, 3397, 3416, 3435, 3454?\nAnswer: 3473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 6 = p - 9, -3*g + 5*p - 19 = 0. Let k = 7 - g. Suppose -3*n + 104 = -k*v, 4*v = 2*n + 2*n - 136. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = -2*d - 1 + 55, 3*o - 90 = -4*d. Let w = 38 - d. Suppose 947 = 4*h + 331. Calculate the greatest common divisor of w and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the second derivative of -t**8\/8 + t**4\/4 - 11*t. Find the third derivative of w(x) wrt x.\nAnswer: -840*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = l**3 + 3*l**2 - 5*l + 1. Let n be r(-4). Suppose -n*f = -2*m - 32, 0 = f - 0*f + 4*m - 24. What is the highest common divisor of f and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 3*x - 7 = -0, 2*m + x = 7. Suppose 0 = -2*v - w, v + w = m*w. Which is the second smallest value?  (a) v  (b) -2  (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 3, v: 1, f: 4, u: 1, y: 4, k: 2}. What is prob of picking 1 k and 1 y?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -28 + 21*(51\/9)\/17.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 50702\/561 + -1522\/17. Let b = 1717 - 1716. Which is smaller: i or b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 55 - 55 - 13*x - 10*x + 18*x.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -53\/1441 and -19\/2096.\nAnswer: 23056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8086986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 1877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.25 minus -1.102323085?\nAnswer: 0.852323085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qqqqqqqqqiqqiqiq?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -1  (b) 1\/3  (c) 12443  (d) -1\/4  (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -424 - 45?\nAnswer: -513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2531 (base 9) in base 8?\nAnswer: 3543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*k**2*p - 4*k**2 - 306*k*p - 5260*k wrt p?\nAnswer: -2*k**2 - 306*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 3 - 2)*((-7*n**2 + 7*n**2 + 5*n**4)*(-3*n + 1 - 1) - n**5 + 1 - 1).\nAnswer: 112*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -27*g**2. Let s(r) = 4*r**2 - 2*r + 2. Let m(j) = -4*j**2 + 3*j - 3. Let l(v) = -2*m(v) - 3*s(v). What is l(t(h))?\nAnswer: -2916*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 2*s - 2)*(-1 + 1 + 4*s)*(1 - 10 - 13) to w*s**2 + q + z*s and give w.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(7\/3)*m**(1\/15)*m*m*m*m*m*m**(-2\/15)\/(m*m**9) assuming m is positive.\nAnswer: m**(-41\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(1 + -5*(sqrt(320) - (2*sqrt(320) - sqrt(320))) + 1))**2 + 5.\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -36414430*x**2 - 3*x + 70 wrt x?\nAnswer: -72828860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -119, -125, -135, -149?\n\"Answer: -2*c**2 - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (45\/(-2))\/(1\/(-2)). Let a(w) = -2*w**2 + 34*w + 213. Let r be a(-4). Does p = r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = 4*y + 2*l, y = -2*l + 138 - 131 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -3*i**3 + i**2 + i - 11. Let d be f(-7). Let w be (-16 - d)\/((-2)\/1). Let u = w - 244. Is u a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1495115 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 11 = -x, -4*i = -i - 2*x - 17. Suppose -i*b = -4*o - 10, -5*o - 25 = -b - 4*b. Calculate the greatest common factor of b and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -4*w + 16. Let l be d(5). Let p = -78.67 + 76.67. Put -0.5, p, -1, l in decreasing order.\nAnswer: -0.5, -1, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the second derivative of -519*i**6\/10 - i**5\/20 - 559*i**2 - 13*i - 7. Differentiate g(o) with respect to o.\nAnswer: -6228*o**3 - 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -163 (base 10) to base 6\nAnswer: -431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is v in v**5\/2 + 7*v**4 + 35*v**3 + 76*v**2 + 145*v\/2 + 25 = 0?\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 191 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 5, n: 2, x: 5}. What is prob of picking 1 b and 2 n?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o - 548 = -4*o. Calculate the remainder when o is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (10\/(-160))\/(7*(-55)\/(-616))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 45304 is divided by 94.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*o - 2732*z + 2727*z + 20, 30 = -10*o + 4*z for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 8, j: 5}. What is prob of picking 1 j and 1 h?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -47806, -95714, -143622, -191530?\n\"Answer: -47908*o + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = z - 4, -5*p + 19 = 4*z. Let w be (600\/80)\/(1\/2 - -1). Sort p, -1, w in ascending order.\nAnswer: -1, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve -14 = -6*p - 8 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -446 = 4*n - 454. Solve 4\/5*g + 46\/5*g**n + 0 = 0.\nAnswer: -2\/23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 86 divided by 2069\nAnswer: 86\/2069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 582, 1251, 1862, 2385, 2790, 3047?\nAnswer: 3126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8.82 - 9. Let z = 2.22 - u. Let k = z - -0.6. Which is the third smallest value?  (a) k  (b) -5  (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l, 1 s, and 2 h when four letters picked without replacement from hlyydslldylddhyhyld.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 432 minutes before 11:51 PM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3\/4, 90, -0.3, 0.09, 5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 4.331823 millimeters?\nAnswer: 4331823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 31, 158, 299, 460, 647, 866, 1123, 1424?\nAnswer: 1775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -152*g - 148*g + 11062*g**2 + 300*g - 11061*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 136727518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (6\/(-10) + 77\/70)*138. Calculate the greatest common divisor of 299 and m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = -51 + 6. Let l(x) = x**3 - 13*x**2 - 21. Let n(v) = 3*v**2 + 5. Calculate d*n(r) - 2*l(r).\nAnswer: -2*r**3 - r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r\/r**6*r*r*r\/r**(3\/10)*r*r*(r*r*r**(-2\/31)*r*r)\/r*r**13 assuming r is positive.\nAnswer: r**(4847\/310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.6 - 0.63. Let c = -0.8794 + 0.3794. Let g be (4\/(-21))\/(4\/(-6)). What is the third biggest value in c, g, w, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*v + 3*v**4 + 617*v**2 - 2*v - v**4 - v**3 - 888*v**2 to the form y*v**4 + m*v**2 + q*v + n*v**3 + t and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -20538 minus 314464?\nAnswer: -335002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -166459117 divided by -33703?\nAnswer: 4939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*w + 250 + 37 = 0. Which is greater: 0.1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 0*w + 87 = w, -p - 5*w = -66. Suppose -2*o = a - 6*o - p, -5*o + 80 = 4*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 7*o - 27. Let u = 23 - 19. Let i be s(u). Put -2, 0, i, 4 in increasing order.\nAnswer: -2, 0, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.42 - 0.08. Which is the nearest to v?  (a) 0.3  (b) -1\/6  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 12\/(-126) + 20\/210. Is 10 a factor of p\/(-12) - (1 - 109)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b, 1 q, and 1 m when three letters picked without replacement from {r: 1, b: 1, j: 3, m: 6, q: 3, y: 3}.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3384 + 3384 + 99*r to p + j*r and give j.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -187, 0.1 in increasing order.\nAnswer: -187, 0.1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (13*w**2 - 21*w**2 - 2*w**2)*(3 + 0 + 0)*(-3*w**2 + 10 - 10) as l*w**2 + a*w**3 + s + h*w**4 + f*w and give h.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 1\/4  (b) -0.06  (c) -1\/868\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2 + 7. Suppose 0 = -4*m - 2*s + 7*s - 7, -4 = -5*m + 2*s. Suppose 0 = -b + m. Solve -4*g + 19 = 3*o, 3*g + f*o - 18 = b*o for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -99, -200, -301, -402, -503, -604?\n\"Answer: -101*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*m - 3*y - 0*y + 259, 3*y - 58 = -m. Calculate the remainder when m is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -83\/60387008 and 73\/1704472.\nAnswer: 422709056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17162194.\nAnswer: 2, 7, 1225871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is v in -4*v**2\/7 - 3772716*v\/7 = 0?\nAnswer: -943179, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-1\/9)\/(p**(2\/39)*p))\/((p*p*p**(5\/12)\/p*p*p)\/(p\/p**(-4\/13))))**(-4\/11) assuming p is positive.\nAnswer: p**(1531\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -2*m**3 + 5*m**2 - 1. Let a(c) = -67*c**3 - 22*c**2 - 7. Let g(v) = -9*v**3 - 3*v**2 - 1. Let l(p) = 2*a(p) - 15*g(p). Determine -h(y) + 5*l(y).\nAnswer: 7*y**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -635 + 2807 = -250*m - 328 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 107011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1806569, -1806570, -1806571, -1806572, -1806573, -1806574?\nAnswer: -1806575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2921.\nAnswer: 23, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k**2 + 1. Let x(u) = -12*u**2 + 11. Suppose 0 = -3*i + 10 - 4. Suppose 4*q = -12, -p + 0*p + 3*q = 13. What is i*x(t) + p*j(t)?\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 9 = 3*h, 112*d = 115*d + 2*h - 9. Let -2\/9*c**2 + 0 - 2\/9*c**d + 0*c = 0. Calculate c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -26  (b) 0.04  (c) -0.4  (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2529 + 198*o + 2457*o**2 + 2488*o**2 - 829*o**2 - 197*o wrt o?\nAnswer: 8232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 4 - 7*z + 0*z - z. Let v(s) = -38*s - 31*s - 36*s + 133*s - 29*s. What is v(q(d))?\nAnswer: 8*d - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 150965 - 301928 + 150963 - 12579*i as s + g*i and give g.\nAnswer: -12579","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 343*n + 1749. Give g(-5).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y**2\/4 - 19*y\/4 - 5 = 0. What is y?\nAnswer: -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-144)\/(-66) - 2\/11. Suppose -5*g - 6*n = -c*n - 94, -5*g - 2*n = -102. Calculate the remainder when 41 is divided by g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2a64c (base 14) in base 2?\nAnswer: 11001110000101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jx when two letters picked without replacement from {j: 2, e: 1, x: 1, l: 1, h: 5}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 910588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -44*h + 47*h - 57342 + 57324. Calculate s(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 3*h = -30. Let b(n) = -8*n**2 - 4*n - 2. Let u(k) = -7*k**2 - 5*k - 3. Let d(v) = h*b(v) - 6*u(v). Let d(r) = 0. Calculate r.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 130 = -3*g + 114, -3*f + 394 = 5*g. Suppose 5*m - 4*r + 90 = 0, 3*m - 2*r = -2*m - g. Let p = -1 - m. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16*q - 11780*q**2 + 0*q + 73 + 11783*q**2)*(-2*q**3 + 0*q + 0*q).\nAnswer: -6*q**5 - 32*q**4 - 146*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1917, 3858, 5799, 7740?\nAnswer: 9681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3246478922?\nAnswer: 2, 73, 3259, 6823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -6*m**2 + 3*m**2 - 11 - 19*m**2 + m**3 - 4*m. Let j be d(22). Let p = -80 - j. What is the remainder when 34 is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 96143\/8820 + -1\/1764. What is the common denominator of k and 15\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4\/14 + (-2)\/7. What is the tens digit of (13 + -3)*(1 - g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.012, -1\/6, 3\/2 in decreasing order.\nAnswer: 3\/2, 0.012, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**3 - 1180*d**2 + 57994*d - 56816.\nAnswer: 2*(d - 536)*(d - 53)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -845.15288 + 845. What is f rounded to 3 dps?\nAnswer: -0.153","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = y**3 + 29*y**2 + 28*y + 3. Let d be q(-28). Suppose d*r = -12*r - 45. Sort -2, r, 3, 2.\nAnswer: r, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (15\/6)\/(25\/20). Let b(q) be the second derivative of -1\/30*q**5 + 0 - 1\/18*q**6 + 0*q**c + 5\/36*q**4 + 1\/9*q**3 - q. Find r such that b(r) = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v - 1. Let i be o(-2). Let g(r) = -r**3 - r + 1. Let y be g(0). Put y, i, 6, 0 in descending order.\nAnswer: 6, y, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 28614.28 weeks?\nAnswer: 17305916544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3532549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 32125 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does -0.7356 = -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -262004 to the nearest 10000.\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 2*y - 10. Let x be o(3). Let l be 7\/(42\/(-20))*6\/x. Put l, -5, -1 in descending order.\nAnswer: l, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 17 - (13 + -9 + -1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -8*j**3 + 2*j**2 - 1. Let x be n(-1). Solve x + 6 = -5*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6826521 is divided by 5251?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l + 10. Let p be d(-12). Let i(a) = 119*a**2 + 3. Is i(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 21*5\/20*(-150)\/(-175). Solve 3\/2*c**2 + 3 + w*c = 0 for c.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the first derivative of 23*s**4\/4 + 10*s**3\/3 + 8. What is the third derivative of d(a) wrt a?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c + 20 = 0, 2*x + 39*c - 38*c - 9 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 2*r**3 - r**2 + r + 238. Let u(y) = y**3 + 5*y**2 - y - 5. Let x be u(-5). Let o be s(x). Let d = -139 + o. Does 18 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/4)\/((-2)\/(64\/(-12)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 131534503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 7\/191340 or -1?\nAnswer: 7\/191340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -5*v - 3*w, 3*v + 5*w + 8 = 17. Let y(d) be the third derivative of -1\/120*d**6 - 4*d**2 + 0 + 0*d**v - 1\/15*d**5 + 1\/8*d**4 + 0*d. Give y(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -y**2 - 11*y - 4. Let u be p(-9). Suppose -2*i = -u - 34. Suppose 4 - i = -5*z. Solve 3*b = z*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 580052499 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = 27 + 147. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 127 - 250 - j**2 + 117 in the form m*j**2 + v*j + y and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 138786607?\nAnswer: 138786607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 248 - 49. Suppose 6*a = 155 + x. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5031  (b) 3  (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -491 + 23*z + 887 - 396 - 5*z.\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g = 3*l - 57976, -2*g = -4*l - 18733 - 4447. Let n be (2 - 6)*1\/2. What are the prime factors of g\/55 - n\/10?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2 + -3. Let y(p) be the third derivative of 11*p**5\/60 + p**4\/24 + p**3\/6 - 2*p**2. Let n be y(q). Solve 2*d + 8 = 4*r - 18, -n = 2*d - r for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -11*d**3\/8 - 84802*d**2 - 10460249607*d\/8 - 950920569\/4 = 0. What is d?\nAnswer: -30837, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 760.2 rounded to the nearest ten?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -631?  (a) -2  (b) -0.06  (c) -2\/15  (d) -1\/539  (e) -1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 37217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -6*w**2*x**3 + w**2*x + 4*w**2 - 27*w wrt x?\nAnswer: -18*w**2*x**2 + w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 379  (b) -17  (c) -2  (d) 3  (e) 1.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*t**2 - 8*t**4 + 0*t**2 - 246*t**3 + 5*t**4 - 118*t**3 to d*t + j + o*t**3 + q*t**4 + k*t**2 and give o.\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/(-3) - 2\/6 - (-8155)\/(-3495)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 378895\/16 - 23667. Is 14 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 188933 < 188932?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/18 - (-9)\/(-10)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-50589)\/(-21) + (1 - (2 - -1)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -3917, -3924, -3931?\n\"Answer: -7*r - 3910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000078655 rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 514030 (base 7) in base 11?\nAnswer: 5aa95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y**3 + 5*y**2 - 4*y + 1. Let n be s(4). Let l be ((-68)\/(-12) + -6)*(-3)\/n. Sort l, -6\/11, -3.\nAnswer: -3, -6\/11, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -24 + 17. Let d be (2 + j + 4)*13. Let c = 67\/5 + d. What is the third smallest value in -3, 1, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z**3 + 13*z**2 - 80*z - 1053. Let y be c(-13). Put 90, y, 4 in increasing order.\nAnswer: y, 4, 90","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*(sqrt(7) + sqrt(21)\/sqrt(3) + -3) + 1)*-4)**2.\nAnswer: -896*sqrt(7) + 2576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -2*m - m**2 + 0*m**2 + 0 - 1. Let g be i(-3). Let w(o) be the second derivative of -o**4\/12 - 5*o**3\/6 + 3*o**2\/2 - 1643*o. Give w(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (1\/2)\/(3\/24). Suppose -53*m = -108*m - 715. Sort m, i, -5.\nAnswer: m, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 7\/2 of a millimeter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3 - -5. Let l(d) = d - 2. Let u be l(g). Solve u = -4*n + n - 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 10  (b) -1  (c) -0.1  (d) 49  (e) -2\/3  (f) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 13 - 15. Let v be 1\/(-3) - (-13)\/21. Suppose 4*t = 2*p + 6, 2*t - 7 = -1. Which is the nearest to 1?  (a) h  (b) v  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*v + 17 = -9*v. Let g be ((-2)\/(-8))\/((-3)\/(-6)). Which is the nearest to g?  (a) -0.6  (b) -1  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:33 PM and 8:38 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -2619 times -28.877?\nAnswer: 75628.863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17673 = -0*i + i - 1133. Calculate the smallest common multiple of 12 and i.\nAnswer: 112836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (300\/(-30))\/(2*(-5)\/45*-3)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = -0*g - 4*g + 1952, -946 = -2*g + 5*s. Suppose -a + g = 2*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 8859 + -13541. Let n = o - 4378. Let x be (41 - -9)\/(2 - (-18117)\/n). What is x rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 330658 + 432*i**3 - 330658 + (3*i + 3*i - 5*i)*(-2 + i**2 - 2*i + 2) to c + x*i + h*i**3 + a*i**2 and give h.\nAnswer: 433","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 107589 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3515419 + -1644528. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7797485*b + 25063*b**3 - 7797485*b.\nAnswer: 25063*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -o**2*w**3 + 1594*o**2*w**2 + 6*o*w**3 - 551*o*w - w**3 wrt o?\nAnswer: -2*w**3 + 3188*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 43574644 divided by 5\nAnswer: 43574644\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cccc when four letters picked without replacement from {o: 15, c: 4}.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yffyf. What is prob of picking 3 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -6*n. Let b(a) = 2 + 42*a - 2 - 98*a + 53*a. Determine t(b(c)).\nAnswer: 18*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 620 minutes after 3:00 AM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/4*18\/33*2.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*sqrt(363)*1 - ((sqrt(363)*3 + 3 - sqrt(363)) + sqrt(363))) + 1)**2.\nAnswer: 308*sqrt(3) + 17791","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 4 = -4*k. Let q(x) = 71*x**2 - 72*x**2 + 0*x - x + x. Let m(l) = -l**3 + 3*l**2 - l - 1. Give k*m(a) - 3*q(a).\nAnswer: a**3 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2728250?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 142 minutes before 5:24 PM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) be the third derivative of -o**6\/840 + o**5\/210 + o**4\/24 + 2*o**3\/21 + 7*o**2. Factor s(f).\nAnswer: -(f - 4)*(f + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -21, -44, 4.\nAnswer: -44, -21, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1103744961?\nAnswer: 3, 11, 1238771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -3*a + 44. Let i be (1 - (15 - 1))\/(-1). Let w be z(i). Find the second derivative of 8*q**5 + 11*q**5 - 2*q**w + 14*q**5 + 15*q wrt q.\nAnswer: 620*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-8 + 3 - 7*w + 9*w)*(0 + 0 + 2 + (4 - 4 - 2)*(-14 + 19 - 58))*(-2*w + 2*w - 3*w) as o + a*w**2 + i*w and give a.\nAnswer: -648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4005\/4806*(-6)\/5)\/(1\/(-41)*-1).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 166 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9231*c + 942102 = -14024*c + 8301*c for c.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(40)\/(sqrt(72)\/sqrt(225)) + -6*(sqrt(440)\/(sqrt(8) + sqrt(16)\/sqrt(2)))\/sqrt(11).\nAnswer: -1 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -10998 + 10997.999999376. Round k to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*i**2 + 2*i**2 + 6*i**2 + 2)*(0*i**2 - 2*i**2 - i**2) + 41 - 40 - 25*i**4 - 106*i**4.\nAnswer: -143*i**4 - 6*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -1113321 (base 4) in base 8?\nAnswer: -12771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 36*y**2 + 21. Let o(w) = 13*w**2 + 11. Let g(n) = -2*i(n) + 5*o(n). Let d(c) = 11*c**2 - 20. Calculate 5*d(k) + 8*g(k).\nAnswer: -k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = -b + 45, -2*p = 2*b - b - 66. Suppose -2*g + 6 = -v, -4*g + 3*v = 2*v - 10. Suppose -b = -6*c + g*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2*3\/9*63\/(-6). Let q be 14\/c + (0 - -16). What is the third derivative of -4*u**6 + 2*u**6 - q*u**6 - 2*u**6 - 9*u**2 wrt u?\nAnswer: -2160*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vaaa when four letters picked without replacement from {a: 4, p: 2, v: 8}?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 3, -3, 50, 2, 1, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 8) in base 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -z - 2*x, -8*x + 10*x - 10 = 0. Put z, 5, -5, -2 in decreasing order.\nAnswer: z, 5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 84 and 25557?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -28 + 17. Let s = -27 + t. Is s\/57*282\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*b - 82 + 57. What is the units digit of (b\/6)\/((-85)\/(-153))*12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9\/(-4))\/((-18)\/(-6)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 318 + -326. Let r(a) be the first derivative of -a**4\/4 - 3*a**3 - 4*a**2 + 3*a - 2. Let d be r(j). Solve -y = 2*m - 6 + 3, -1 = 2*m - d*y for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 5 = 4*y - 2*y, v - 3*y = 20. Let q(l) = -14669*l - 3877*l - 2 - 3 - 653*l. Let a be q(v). Round a to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the first derivative of -3*n**4\/2 + 2*n**3\/3 - 4*n**2 + 7*n - 5304. Give b(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -6*g**2 - 4*g + 2. Let h(u) = -12*u**2 - 9*u + 5. Let k(c) = 2*h(c) - 5*j(c). Let d be k(-1). Solve b - d*b = -6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(-1\/6)*c*c**(-6)*((c\/(c**(-5\/4)\/c))\/c)**(-5\/9) assuming c is positive.\nAnswer: c**(-77\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 119\/6631866 and 34\/1737.\nAnswer: 6631866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.888048t to kilograms.\nAnswer: 888.048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 702*k**3 - 10*k**2 + 5943*k + 9 wrt k?\nAnswer: 4212*k - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put together -3.59 and -32.\nAnswer: -35.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes before 6:06 PM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -i**2 + 20*i - 72. Let j be a(5). Find x, given that -3\/5*x**j + 0 + 1\/5*x**4 + 3\/5*x**2 - 1\/5*x = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -g**4 - 513*g**3 + 3109*g**2 - 2595*g.\nAnswer: -g*(g - 5)*(g - 1)*(g + 519)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 3*o**2. Let h = -949 + 949. Let n(v) be the third derivative of -14*v**2 - 13\/12*v**4 + 0*v**3 + h*v + 0. Give n(x(u)).\nAnswer: -78*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*u + 63 + 18. Let g = u - 6. Suppose 0 = 12*x - 46 + 10. What is the lowest common multiple of x and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/1079, 12, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44303*u**2 + 28*u**3 + 22173*u**2 + 80*u**3 + 22130*u**2.\nAnswer: 108*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1 - -1 - 4) + 5. Suppose -5*w - 22 = 4*k - 2*k, c*w = -5*k - 17. Let n = -4985\/11 - -453. What is the closest to 1\/4 in 2, w, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6727055.\nAnswer: 5, 373, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3658\/5 + 8\/20. Suppose 4*z - i = -0*z. Suppose x + 50 = h - 3*x, -4*h = x - z. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 213390 and 213432 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-15)\/(-10))\/((-2)\/(-24)) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 101 + -102. Sort 3, v, -0.15 in descending order.\nAnswer: 3, -0.15, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 433.1 to the nearest ten.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r**2 + 9*r - 8. Let n be b(-8). Let w be ((-9)\/(-12))\/((-18)\/n). Let v = -0.3 - -0.8. Sort 2\/5, v, w in ascending order.\nAnswer: 2\/5, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 2*n**2 - 2*n + 1. Let t be i(1). Let a be 20\/(-6)*390\/t. Round a to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*k = -20*k + 240. Suppose -3*c + 532 = a, 2*a - 1026 = -5*c + 34. Calculate the greatest common divisor of a and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 41 + -11. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11*m**4 + 86 - 86 + (-2*m**4 + m**4 + 0*m**4)*(4 - 1 - 5))*(-2*m + 7*m - 2*m).\nAnswer: 39*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (204*l + 144*l - 167*l)*((-2*l + 5*l - l)*(0*l + 3*l - 2*l) + (-1 + 5 - 5)*(2*l**2 - 3*l**2 - l**2)) as v*l**2 + n*l**3 + w + k*l and give n.\nAnswer: 724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*l**3 - 8*l**3 + 14*l**3 - 5*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) be the second derivative of 10*m + 5\/28*m**8 + 0*m**6 + 7\/3*m**4 + 0*m**3 + 0*m**2 + 0*m**5 + 0*m**7 + 0. Find the third derivative of h(i) wrt i.\nAnswer: 1200*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 397428 is divided by 658?\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 - (2 - 3) - 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -45, -34, -19, 0, 23, 50?\n\"Answer: 2*u**2 + 5*u - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the first derivative of 2*q**3\/3 + 1. Let t(l) = 2*l**2. What is o(t(f))?\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -9 by -20.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in 103, 0.3, -3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -113 - -254. Suppose 2*x = -6, -6*h - 5*x = -3*h - s. What is the greatest common factor of 4 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 + 172*z - 172*z + 13*z**3 + (-1 + 2*z + 1)*(-2 + 2 - z**2) + z**3 + 0*z**3 - 3*z**3.\nAnswer: 9*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m**5 - 1. Let d(x) = 5*x**5 + 4*x**2 + 4. Let k(t) = d(t) + 4*n(t). Find the third derivative of k(i) wrt i.\nAnswer: 540*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the third derivative of -115*y**6\/12 - 4*y**4\/3 - 400*y**2 + 2*y. What is the second derivative of n(k) wrt k?\nAnswer: -6900*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 450*x - 36 = 456*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 373588 + -373588.6. Let i = -1.3 + 1. Which is the closest to -2\/3?  (a) f  (b) 0.3  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -289754\/38168459 - -44\/5581. Is 0 at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.79653 to 2 dps.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 2*m**2 - 3*m. Let o be y(2). Suppose -a + 5*x - 45 = -2*a, o*a - 90 = 2*x. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -1160, -1361, -1578, -1811, -2060, -2325?\n\"Answer: -8*d**2 - 177*d - 975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1901989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 16 and 8081572?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 13*g**2. Let n(v) = 7436*v. Give i(n(j)).\nAnswer: 718823248*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 17 - 28. Let m = q - -16. Suppose 4*y = 3*o + 17, m*y + 4*o = -0 - 2. Solve -y*g + 10 = 2, 6 = -2*b + 3*g for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-11)\/(275\/(-10)))\/(6\/10)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 230 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -91*i**2 + 4271*i + 272. Calculate s(47).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -143 - -2?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (-26332)\/(-2672698) + 648\/16646\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -t**3 + 45*t**2 + 186*t - 11487. What is q(43)?\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23 = j + g - 28, -6 = 3*g for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 205\/1*1344\/140*24\/384.\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -9649*s**3 - 1884*s**2?\nAnswer: -57894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is (-17 - -2)\/((-3)\/9) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*w + 23*w + 2*w.\nAnswer: 36*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9\/7, 1\/7, -1.52, 5, 18\/23.\nAnswer: -1.52, 1\/7, 18\/23, 9\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.5 and 26223.\nAnswer: 26222.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) be the second derivative of -z**3\/6 - z. Let q(i) be the third derivative of 3*i**5\/20 - 2234*i**2. Determine m(q(d)).\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2.787 or 7\/3?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -8*w**2 - 587*w - 761. Give z(-72).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x**2 + 9*x - 6. Let j be l(-10). Suppose 2*y - j*p + 22 = 0, -p - 8 = -3*p. Let a be ((-2)\/(-3))\/(y\/(-9)). Sort 5\/4, 5, a in increasing order.\nAnswer: 5\/4, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -55\/28 and 97\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -13*s + 1. Let j = 21 + -5. Suppose h = q - 2*h + j, -7 = 2*q - h. What is the units digit of p(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 1351, 1356, 1365, 1378, 1395?\n\"Answer: 2*j**2 - j + 1350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -495 > -494?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 21 and 20627691.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -35 + 35.4. What is the closest to -0.1 in g, -5, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c = -5*c - 1325. Let s = -414 - c. Let p = s - -317. What is the greatest common factor of p and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -17781*l - 1. Let q be b(-2). Let h = q - 57436. Let c = h + 874879\/40. What is the common denominator of 47\/24 and c?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11 + -13. Let z be (f - -4) + -2*4. Let q(v) = -7*v - 5. List the prime factors of q(z).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*j - 3*j = 0. Suppose b + 4*b - 15 = j. Solve b = -2*g - 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 120 minutes after 9:13 AM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 819*h**5 + 2*h**4 - 1399*h**3 + 5697807*h**2 + h wrt h?\nAnswer: 49140*h**2 + 48*h - 8394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.003459418 to five decimal places.\nAnswer: 0.00346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -7884 divided by 657?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (6\/(-10))\/(1\/(-5)). Suppose -3*a + 2*c + 4 = -10, y*a - 22 = 4*c. Suppose 0 = 3*f + 4*t - 111, -f - a*t = f - 72. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = i**3 + 6*i**2 - 62*i + 7. What is l(-11)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 111793542 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + b - 3 = 0, 0*b = 5*t - 4*b + 18. Let d be (-5)\/(15\/t) - -1. Solve -4 - 11 = d*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*(sqrt(110) + (sqrt(110)*-4 - sqrt(110))) + sqrt(110) + sqrt(110))\/sqrt(10) + sqrt(99)\/(-1*sqrt(9)) + -2)**2.\nAnswer: -68*sqrt(11) + 3183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 292857763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 41173.15 litres to millilitres.\nAnswer: 41173150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**3 + 5*r**2 + 4*r + 8. What is x(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 300 minutes before 12:58 PM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 548221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 65 - 64.53. Let t = 0.5 - r. Let y = t - -1.97. Is 2\/7 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7.85 - -0.15. Let q = a + -12. What is the third biggest value in 4, 0.07, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r**2 + r. Let i be k(-3). Let f be (-11)\/(-2) - ((-18)\/i - 2). Suppose -l - 560 = -f*l. Is l a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m - 4. Let f = -7 + 14. Let p = 11 - f. Let t be o(p). Is t not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c = 3*n + 17, c = -2*n + 5 - 8 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 35 and 2065.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Are 209\/6624 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 53*o**2 + 35*o + 79. What is the remainder when p(-2) is divided by 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 28609085 and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 53489 = -48339. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3230?  (a) -0.1  (b) -54  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-2\/21)\/(b*b**(2\/5)))\/(b**(-1\/8)\/(b**(-4)*b*b)) assuming b is positive.\nAnswer: b**(-2831\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the first derivative of o**4\/4 + 5*o**3\/3 + 3*o**2\/2 - 3*o - 2. Suppose -46*u + 44*u = h + 9, -3*u = h + 12. What is l(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -164567297.9 to the nearest ten thousand.\nAnswer: -164570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13*w + 50 - 94 + 42)*(-2 - 6 - 2 - 1).\nAnswer: -143*w + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -3 - 72916\/(-36) - ((-174)\/(-9))\/(-29). Is 2022 less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + -4 - (-1308)\/436?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h and 1 t when three letters picked without replacement from ffthhfhfllhffhhftfht?\nAnswer: 21\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -9*f**3*j**2 - 3*f**3*j*x + 2*f**3 + 2*f**2*j*x**3 + 3*f**2*j*x**2 - 25*f**2*x**3 - 201841*f*j**2*x**3 + 18*j*x**2 wrt j.\nAnswer: -18*f**3 - 403682*f*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 468854*y**2 - 109908*y?\nAnswer: 937708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 8116381 less than or equal to 8116383?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yrogorgsorrrrrgro. What is prob of picking 2 o and 2 g?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oaao when four letters picked without replacement from rhomaoioaomohmhormho.\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -114.8 to 0 decimal places.\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 7980 divided by -380\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -3787 (base 11) to base 9\nAnswer: -6683","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange u**4 + u**2 - u**2 + (-2 + 0 + 4)*(76*u**2 - 76*u**2 - 26*u**4) to the form b*u**3 + o + y*u**4 + g*u + s*u**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 330 - -24.54?\nAnswer: 354.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1114.\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -0.31 + 137893\nAnswer: 137892.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4\/3 + 10\/(-15). Is -0.2 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 131864322 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0886 * -89443.\nAnswer: 7924.6498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6312 * 23.\nAnswer: -145176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**6\/(h*h*(h\/(h\/h**15*h))\/h))\/(h*h**12*h**10))**5 assuming h is positive.\nAnswer: h**(-160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -36172, 2\/91.\nAnswer: -36172, -4, 2\/91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is c in 4*c**5 - 68*c**4 - 5924*c**3 + 165940*c**2 - 973856*c + 813904 = 0?\nAnswer: -43, 1, 7, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -h**3 + 7*h**2 - h + 7. Let x be q(7). Suppose -j + 2*j - 2857 = x. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -24?  (a) -29  (b) 38  (c) -6468  (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -1a (base 12) to base 6\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:11 PM and 3:52 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*o + 16*o - 14*o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 43009242?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 28820150 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the first derivative of 5*g**3 - 10*g**2 + 5*g - 69. Let r(o) = -15*o**2 + 20*o - 5. Let w(y) = -3*r(y) - 4*x(y). Solve w(k) = 0 for k.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 402\/(-1675)*-5*15*2\/(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*g + 28184*g**3 + 3*g - 26699*g**3.\nAnswer: 1485*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 46 divided by -23?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 15*y**3 + 18*y**2 + 187*y.\nAnswer: 90*y + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*q + 47 - 12. Suppose q*m - 105 = 56. Solve 5*z + 4*r + m - 2 = 0, 20 = -5*z - 5*r for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000061024072 rounded to 7 decimal places?\nAnswer: 0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -41 + 3 + 33 + -8?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmmmmm. Give prob of sequence mmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that -3*x**5 + 79497*x**4 - 705736248*x**3 + 2129853071424*x**2 - 274482170112384*x - 1132051517066496 = 0.\nAnswer: -4, 139, 8788","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 180 = 7*k + 33. Calculate the remainder when 99 is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the third derivative of -j**5\/60 - j**4\/4 - j**3\/6 - j**2. Let t be m(-5). Find the third derivative of -n**6 - 5*n**2 - t*n**6 - 2*n + 2*n wrt n.\nAnswer: -600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 1 + 4)*(-q - 2 + 2 + (-2 + 4 - 3)*(2*q - q + q) + q + 0*q - 2*q - 5*q - 19*q + 4*q) as j + k*q and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 400 and 73.6.\nAnswer: 29440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 12*c + 8*c + 6 - 2*c**2 - 4*c**2. Let u(r) = -2*r**2 + 7*r + 2. Determine -5*o(v) + 14*u(v).\nAnswer: 2*v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ztqz when four letters picked without replacement from {d: 2, q: 1, z: 3, t: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5763\/1224 - (32\/(-6))\/(-1).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 14992.8089 - 14986.4. Round x to one decimal place.\nAnswer: 6.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1 - 98564?\nAnswer: -98565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -18.000055 + 18. Round p to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -3288, -3611, -4056, -4629, -5336, -6183, -7176?\n\"Answer: -p**3 - 55*p**2 - 151*p - 3081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -151\/276 and -149\/12.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v = 3*v + 216372. Suppose 97876 + v = i. Round i to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1797513 (base 12) to base 4.\nAnswer: 102302330133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t**2 + 30. Let p be n(0). Does 3 divide (3 + p\/(-8))*-4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.574281936 from -0.1.\nAnswer: 0.474281936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 23 + -15. Let u = r - 7. Is u != -4\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 256639 or 256636?\nAnswer: 256639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1887*y + 1757*y + 1578*y + 1801*y - 6152*y.\nAnswer: 871*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4  (b) 0.3  (c) 0.5  (d) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -38734, -78209, -117684, -157159, -196634?\nAnswer: -236109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 50, -11, -112, -253?\n\"Answer: -20*j**2 - j + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 + 11 + -9 - 22 - -50?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 14773860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 218 - 120. Let x = -97 + i. What is the highest common divisor of 1 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1121020211 (base 3) in base 12?\nAnswer: 162b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -7*m + 2. Let t(f) = f. Let v(z) = -g(z) - 5*t(z). Does 8 divide v(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = -x - 1, 2*x - x - d = 17. Let u = 29 - x. Does 5 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 24724276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x**3 + 14*x**2 + 18*x + 13. Calculate h(-12).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1534 - 37898.55?\nAnswer: -36364.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 11 - 11. Solve -y + 4*q = v, q + 4*q - 1 = y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -9612989700 to the nearest 1000000.\nAnswer: -9613000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*v + 275 + 109. Calculate the least common multiple of 22 and 3*(v\/12)\/4.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 28271.71 litres?\nAnswer: 28271710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.05 - 0.28. Let y = -0.2 - p. Let g = -0.11 - y. Round g to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-11)\/((-616)\/(-42))*2. What is the biggest value in r, -0.5, -102?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = v**3 + 3*v**2 + 3*v + 2. Let f be n(-2). Suppose -2*x = -f*x - 96. Let z = -191\/4 + x. Which is the second smallest value?  (a) -1\/4  (b) -4\/7  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bfbr when four letters picked without replacement from bbrffffpfbbbbfb.\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q + d - 542 + 534 = 0, -q - 1005*d + 5026 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 103 minutes after 10:52 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 4*j = 0, -t - 10 - 10 = 5*j. Let f = 7 - t. Does 2 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 20*z**3 - 10*z**4 + z - 2042802 + 2042799 + 14*z**4 as l*z + m*z**2 + v + i*z**4 + h*z**3 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.131 minus 19828862130?\nAnswer: -19828862129.869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -74 + 42. Let i = 20 + s. Let r = i + 19. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 * 5463.8\nAnswer: 546.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -71 + 35 - 3*r + 35. Let z(b) = -8*b - 2. Determine -14*o(n) + 5*z(n).\nAnswer: 2*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Are -1046824 and -1046823 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.6787747 to two dps.\nAnswer: 3.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fqtpftpq. What is prob of picking 2 q and 2 f?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 6*i = -5*b + 29759, 59528 = 2*i + 5*b. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -19 - -20. Let y(q) = -q**2 - q. Let r(s) = -2*s**2 - 2*s. Let k(g) = o*r(g) - 3*y(g). Determine w so that k(w) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 20 = 6*g, 0 = 4*y + g - 40. Let l be (-8)\/3*y\/(-6). Suppose -l = -0*a + a. Which is bigger: -3 or a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(363) - sqrt(363)*1 - sqrt(363) - (sqrt(6) + sqrt(24)\/sqrt(4))\/sqrt(2)) + 1 + 0 + -1 + sqrt(3))**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -11.3511 to zero decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 228645180?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (4\/18)\/2 + (-192)\/27. Let t be (126\/336)\/(6\/(-8)). Sort 5\/2, r, t in increasing order.\nAnswer: r, t, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5213000 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (36\/24)\/(54\/18)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -309*y + 101*y**2 - 307*y - 36*y**2 + 715*y - 99*y.\nAnswer: 65*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = -14 - 62. Suppose 5*d = 3*p - j, 3*d = -5*p + 4*d + 156. Is p a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2230)\/(-28990)*(-26)\/102.\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -375809*o**3*w**2 - 2*o**3*w - o**2*w + 10873*o*w wrt w.\nAnswer: -751618*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -43, -39, -33, -25?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w**3 - 9*w**2 - 22*w + 5. Let i be o(11). Suppose 39 = -i*g - 2*c, 2*g = -3*g - 5*c - 45. Put 0, -2, g in descending order.\nAnswer: 0, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1377, -2657, -3837, -4911, -5873?\nAnswer: -6717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -10?  (a) -5  (b) 132\/17  (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -6*p + 10. What is m(15)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*a + 5*o - 4*o + 243, -5*o - 477 = -6*a. Solve -13*k = -a + 17 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 37699 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 0.6111967m?\nAnswer: 0.0006111967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 66 - 529\/8. Suppose 8*g - 3*g - 5 = 0. Let p(s) = 6*s**2 - 1. Let h be p(g). Which is the nearest to -0.1?  (a) h  (b) -2  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -w**3 - 7*w. Let v = -2 - -4. Let z(g) = 6*g**3 + g**3 + 4*g - 8*g**3 + v*g**3. Calculate 4*d(f) + 7*z(f).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1 - -5. Let h = 4 - k. Which is bigger: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -5*f**2 - 2. Let j(h) = h**3 + 7*h**2 - 3*h - 40. Let l be j(-3). Let g(i) = -l + 43*i**2 - 122*i**2 + 69*i**2. Calculate 10*d(x) - 4*g(x).\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 7701 and 12106?\nAnswer: 93228306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, p: 2}. Give prob of sequence plp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11 - 19*x**2 - 22 + 11*x**2 + 6*x**2 + 11.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*g**3 + 5*g**3 + 2*g**3)*(0 + 2 - 3) - 1660508*g + 1660508*g + 25645*g**3.\nAnswer: 25643*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 18714.999970115 + -18715. Round x to seven decimal places.\nAnswer: -0.0000299","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 3*l**2. Let k be w(-2). Let j(n) = k*n + 8*n + 4 - 9*n. Let h be j(4). What is the greatest common divisor of 6 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -823\/7 + 118. Let q = -1 + -2. Let s = q + 4. Which is the second biggest value?  (a) w  (b) -3  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-130)\/13 - -16 - (-3)\/1. Solve 2*k - 35 = o*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.44  (b) -2\/19  (c) -118  (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4444.\nAnswer: 2, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w + 6 = 15*j - 16*j, 2*w + 14 = -4*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*z - c - 27, 3*z - z - 4*c - 18 = 0. What is the greatest common divisor of z and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 48 + 2*2\/4. Suppose -x + 205 = 2*f. Is f a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 j when two letters picked without replacement from {j: 5, o: 5, f: 2}.\nAnswer: 25\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 268 is divided by 47?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 7258768801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = q**3 + 49*q**2 - 2*q - 98. Let o be v(-49). Let t be (6\/26)\/(51\/(-34)). Which is bigger: o or t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -75*o**2 + 38*o**2 + 40*o**2. Let t(k) = -3*k. Determine t(i(j)).\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(3500) - sqrt(35))*6)\/(sqrt(50)\/(sqrt(20)\/sqrt(2)) + sqrt(480)\/sqrt(6)).\nAnswer: -66*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 2*s**3 - 25*s**2 + 8*s + 29. Give x(12).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-595)\/20)\/(49\/1176*-42)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5265*w**3 - 31595*w**2 + 42150*w - 40.\nAnswer: 5*(w - 4)*(w - 2)*(1053*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26910 = 18*f - 408*f for f.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) be the third derivative of b**7\/2100 + b**6\/450 - 4*b**3\/3 - 3*b**2. Let s(g) be the first derivative of r(g). Solve s(d) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -25, -14, 31, 128, 295?\nAnswer: 550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 3*p - 12 = 138, 5*m + 3*p = 333. Let o be (4\/6)\/(20\/90). Suppose n - f - 27 = 0, -o*f + m = 5*n - 98. List the prime factors of n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = 5*j, -3*j - 4*b = -2*j + 18. Suppose -32 = -j*u + 4*k, 0*u - 2*k = 2*u - 2. What is the smallest common multiple of u and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 27\/5753 and 17\/7.\nAnswer: 40271","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 2, m: 1, f: 2, p: 1, l: 1}. What is prob of picking 1 l and 1 f?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 2*f = -94, -189 - 205 = -4*n + f. Suppose -2 + 10 = -2*u + 5*t, 5 = -5*u + 5*t. What is the remainder when 46 is divided by u\/(-3) + n\/6?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 3*q - 37 = 0, -2*r + 2 = 4*q - 0. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -c**2 - 11*c**3 + 4*c**4 + 3*c**3 + 3*c - c + 6*c**3 to the form m*c**2 + y*c**3 + h + g*c**4 + w*c and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101460 (base 9) to base 3.\nAnswer: -10001112000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 75 and 1675.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 92 + -95. Let n(o) = -4 - 4*o + 11 - 7*o. Is 10 a factor of n(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k**2 - 3*k. Suppose 0 = 4*h - 5*h + 5*m - 1, h + m - 5 = 0. Let q be j(h). Solve q*x = -4 + 16 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k**3 + k**2 + 2*k + 6. Let m be a(-8). Let n = 474 + m. What is the remainder when 191 is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-14 + 9)*34\/5. Let b = n + 30. Let m be ((-6)\/b)\/((-12)\/(-160)). What is the greatest common divisor of m and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1946*y**2 + 130*y + 211*y - 344*y.\nAnswer: 1946*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0*((-7)\/(-2) + -4). Suppose -1337 = -7*y - c*y. Is y a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:19 AM and 3:11 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - (-3 + -3) - 0) + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 870 is divided by 91?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 187578*t**3 + 2295203*t**2 wrt t.\nAnswer: 1125468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (175\/(-105) + 3\/(-9))*23\/(-2)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000433381576 rounded to six dps?\nAnswer: 0.000433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/90709, 5, -3, -1\/6?\nAnswer: -1\/90709","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2644 divided by 51?\nAnswer: -2644\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 870?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-2)\/5 - (-5017)\/580 and 71\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2534 - 2522. Let n(c) = -7*c + 5. What is the remainder when n(-5) is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2513 and 0.02.\nAnswer: -50.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -13812 + 21801. What are the prime factors of h?\nAnswer: 3, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) -36\/7  (b) 3  (c) 8\/15  (d) -6  (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1668)\/(-22) - 6\/(-33). Suppose 0 = -3*x + 5*a + l, 4*a + 142 = 4*x + 38. Is 5 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4, -50, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*y + 3*d + 17, 117*y = 112*y - d - 24 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 90*f - 13. List the prime factors of h(3).\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -81530 divided by -62\nAnswer: 1315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a decade in months?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -60055\/3 + 19711. Is w < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + 6*((sqrt(175) - (0 + sqrt(175) + -3)) + sqrt(175))*-6*3 + -3 + 0)**2.\nAnswer: 348840*sqrt(7) + 2145529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 454 minutes after 8:15 AM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-6 - -45) + 1*-2. Suppose 0 = 5*u - y - 18. What is the lowest common multiple of 7 and u?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(130) + sqrt(130)*-1*-4))\/((sqrt(160) - sqrt(10))*5*4).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Add 22.2123 and -47759345.\nAnswer: -47759322.7877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -36.064 + 36. Let v = b - 0.936. Let a = -1 + 1.2. What is the nearest to -0.1 in 4, a, v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -24*n**2 + n - 17. Let l(w) = 24*w**2 - w + 17. Let i(a) = 5*k(a) + 6*l(a). Find the second derivative of i(u) wrt u.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 35, 51, 101, 203, 375, 635, 1001?\n\"Answer: 3*h**3 - h**2 - 2*h + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (30*2\/8)\/((-36)\/(-96)). Let w be (6\/4)\/(-7 - (-170)\/u). Solve w - 25 = -6*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -210 - -209. Let d be (-1)\/2*8 - (i - -3). Let n(s) = -s**3 - 3*s**2 + 6*s + 4. Let a be n(-4). Which is greater: d or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that 16*x**4 - 46136*x**3 - 532775*x**2 + 275037*x - 34740 = 0.\nAnswer: -12, 1\/4, 2895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**8*x**(4\/9)*x*x*x**(-2\/5)*x*x\/x**(2\/5)*x*x)\/(x**(-5)\/x**(2\/13)*(x**(-2\/7)*x*x)**(-24)) assuming x is positive.\nAnswer: x**(245459\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) be the first derivative of 2*a**3 - 7*a**2\/2 - a + 4. Let z(g) = g**2 - g - 1. Let i(u) = t(u) - z(u). Find the second derivative of i(s) wrt s.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*1*sqrt(1573) - (sqrt(1573) + -1 + -3)**2)*-4.\nAnswer: -572*sqrt(13) + 6356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -23*q + 15. Let y be p(4). Let c be 44\/y - 4\/(-7). Sort c, -5, -8, -2 in increasing order.\nAnswer: -8, -5, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 minutes before 5:26 AM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (1 - 3) + 31 + (2 - (54 - 43))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -4382, -17362, -39200, -70064, -110122, -159542?\n\"Answer: -28*i**3 - 4261*i**2 - i - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) -2  (b) -6\/11  (c) -39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -57 divided by 2473.\nAnswer: -57\/2473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 10002948 and 824?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 54977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 4, k: 1, u: 1, g: 1, v: 2, o: 3}. Give prob of picking 2 f.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -930 + 431. Which is smaller: m or 8?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1052566490 a multiple of 1070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -232 - -244. Let n(z) = 177 - 11*z - 186 + a*z. What is n(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-22)\/(-28) + 4\/(-14). Let b be 22 - (-2 + 2 - 1). Let l = b - 21. Do p and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/108672881 or 0?\nAnswer: -2\/108672881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -45300264*f**3 - 24906683?\nAnswer: -135900792*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*o + 31124 = 3*q + 13*o, q = -3*o + 10371. Does 14 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -41 - -45. Suppose 4*c = 3*x + 8, 2*c + 2*x = 5*c - 6. What is the least common multiple of c and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence urs when three letters picked without replacement from {h: 3, u: 1, m: 1, r: 1, s: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 217, 4, -1, -5, 5 in descending order.\nAnswer: 217, 5, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -380*x = -580*x - 7200 for x.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 0, 30401, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 43532494 to the nearest integer?\nAnswer: 6598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c**3 + c**2 - 5*c + 3. Let j be b(-3). Solve s = -j*s + 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10598738 divided by 3.\nAnswer: 10598738\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -101272 + 103070 = -62*z for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -89\/38 and 51\/133?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does -2 = 13124122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (20\/(-2610))\/((-9)\/(-81)*-1).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.9788 or -8?\nAnswer: -0.9788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -z**2 - 3*z**3 + 376 - z - 376 to the form t*z + f + n*z**2 + g*z**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 159 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.4 * -0.481.\nAnswer: -0.1924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3533 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(882) - -2*-1*sqrt(882)))\/(-4*(2*sqrt(726)*-1 - sqrt(726))).\nAnswer: 7*sqrt(3)\/132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -120101201 (base 3) to base 9\nAnswer: -16351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1035696 litres in millilitres?\nAnswer: 103.5696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*k = -7 - 11 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 996*r - 326717. Give d(328).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.90540989 rounded to 3 decimal places?\nAnswer: -1.905","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 0.461343 days?\nAnswer: 39860035.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1 + -5241?\nAnswer: -5240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 62 minutes after 6:42 PM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + n - 55 = 0, 4*m - 2*n - 66 - 32 = 0. Suppose 0 = 12*p - m*p + 2772. What are the prime factors of p?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 84*47\/3102*33*-1\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 139*o - 147*o + 8 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 280 - 278. What is the second derivative of 166*l**2 - 169*l**2 - 4*l**3 + j - 3*l**3 + 2*l wrt l?\nAnswer: -42*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (7 - -13 - 11) + -15?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -45?  (a) 2  (b) -5  (c) -4  (d) 62.69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*o - 39*o = 58*o - 5240 for o.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the second derivative of l**4\/6 - 103*l. Let u(o) = -175*o. Determine c(u(s)).\nAnswer: 61250*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 2*v = 3*v - 35, 5*c - 3*v = 71. Suppose c*i + 72 = 12*i. Let h = 95 + i. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ltlblobl. Give prob of picking 2 b.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the second derivative of d**3\/6 + 10*d. Let q(p) = -3*p. Determine i(q(t)).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = x + 4. Let v(k) = -6*k - 25. Calculate -34*m(p) - 6*v(p).\nAnswer: 2*p + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by -1098\nAnswer: -1\/366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*h**3 - 2*h**2 - 34797*h - 191372 wrt h?\nAnswer: 6*h**2 - 4*h - 34797","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.011?  (a) -0.4  (b) 3\/14  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + ((-2*sqrt(960) + sqrt(15) - sqrt(15))*6)\/(-3*(sqrt(180) - (sqrt(180) - 2*sqrt(180)))).\nAnswer: 4 + 8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.14 - -2.04. Let y = -2 + p. Which is the closest to 2\/3?  (a) y  (b) 2  (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-18)\/27 + (-5630)\/42. Let o = 135 + v. Factor o*z**2 - 8\/7*z + 8\/7.\nAnswer: 2*(z - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 2, f: 7, c: 3}. Give prob of picking 2 k.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 367 + -477. Which is bigger: 3 or l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 212 (base 16) to base 14\nAnswer: 29c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 1 + 0)*(-3*x + 4*x + 0*x) - 2*x - 12*x + 2*x.\nAnswer: -13*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 139, 144, 151, 160?\n\"Answer: t**2 + 2*t + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (225\/12)\/((-6)\/(-64))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-4*(1*sqrt(1377))**2 - sqrt(204)\/(3*sqrt(36)\/sqrt(3))).\nAnswer: sqrt(17) + 16524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from siiiibixbiiix. What is prob of sequence xb?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 62*c**2 - 3*c - 16. Let q be k(9). Suppose 2*h - q = 2135. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + 5 + (-15 - -5) + -3 - -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c**2. Let r(n) be the second derivative of 5*n**4\/12 - 8*n. Give r(o(k)).\nAnswer: 5*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = -4*j + 3*z + 134, 3*j - 4*z = 73. Calculate the remainder when 151 is divided by j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 4*b - 24 = 0, -2*m - b = -0*m - 12. Calculate the greatest common factor of 32 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 936 is divided by 37.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 16*p + 87. What are the prime factors of z(7)?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 166793840 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in fourty-seven quarters of a micrometer?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -184*o + 51*o - 101*o = 3510 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 27 + (2 - 0) + -3. Solve -4*m - 7 = 3*c, t = -5*c + c + 3*m for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:00 PM and 1:05 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6\/55 - -293\/165. Which is the closest to -1?  (a) h  (b) 4  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4\/7?  (a) -39  (b) 4  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -7*o + 53. Let t(v) = v - 9. Let z(p) = h(p) + 6*t(p). Let c(j) be the third derivative of j**4\/2 + 5*j**3\/3 + 2*j**2. What is -2*c(u) - 22*z(u)?\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 11 - 0?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:03 AM and 9:28 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the third derivative of 3*k**4\/4 + 71*k**3\/2 + 77*k**2. Let d be l(-11). Solve -7 = -5*c - 4*b, 4*b = 5*c - 2*c + d for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -210 - -384. Let h = z - 104. Calculate the remainder when h is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 3, c: 6, d: 6}. What is prob of sequence dpd?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -0.2*-4151085\nAnswer: 830217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Product of 53.92876 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -534694064 - 2.1.\nAnswer: -534694066.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 14 - 11. Solve 0 = i + 2*i - 4*s + 20, -s + 5 = b*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27031 (base 12) in base 15?\nAnswer: 10d3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -13 + 62\/5. Suppose -16 = -0*c - 4*c. Let g = c - 1. What is the closest to g in s, 5, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 17 + -24. Find the common denominator of ((-1617)\/(-6))\/r - -3 and -27\/31.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -226 or -221?\nAnswer: -226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.5?  (a) 5\/2  (b) 1\/3  (c) 0.35  (d) 0  (e) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 26993855 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 4\/7, -81.7, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p**3 + 20*p**2 + 4*p + 125. What is the units digit of x(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*u + 6*u = 3*t + 3, 3*t = u - 9. Let p(f) = f - 17 - u*f + 4*f + 40. List the prime factors of p(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, 5, -990, 4 in descending order.\nAnswer: 11, 5, 4, -990","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 200313201312 (base 4) to base 15.\nAnswer: b52d89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 - 0.3. Let f(y) = -4*y - 14. Let s(m) = -4*m + 4. Let o be s(2). Let i be f(o). Which is the nearest to i?  (a) -5\/3  (b) -1\/5  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -152*m**3 - 157*m**3 + 335*m**3.\nAnswer: 26*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -332*z**4 + 1510516*z**3 - 1360650002*z**2 wrt z?\nAnswer: -7968*z + 9063096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 695220923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c - 2*p = -5*c - 1890, -401 = c - 5*p. Let f = c + 432. Calculate the smallest common multiple of f and 88.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 134904 take away -0.1?\nAnswer: 134904.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w + 5*f + 36 = f, -4*w - 35 = 3*f for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 111647 is divided by 119.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-1\/12)\/(j\/(j*j**(-26))))\/(j**(1\/39)\/(j\/((((j*(j**(1\/9)\/j)\/j*j)\/j*j)\/j)\/j)*j)) assuming j is positive.\nAnswer: j**(-10399\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -t**2 - 1 + 1 + (3*t - 4*t - t)*(-2*t + 0*t + t) + ((-t - 1 + 1)*(1 - 3 + 0) - t + 4*t - 2*t - 190 + 5*t + 190 - 2*t - 2*t + 2*t)*(4 + 3*t - 4).\nAnswer: 19*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2394, -1850, 22, 1.\nAnswer: -2394, -1850, 1, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -16*d - 12. Let s(i) = i + 1. Let n(w) = w**3 + 13*w**2 + w + 15. Let z be n(-13). Suppose z*x = -3*x - 60. What is x*s(t) - y(t)?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -3*(-4)\/(-30)*40\/4. Let y be ((-48)\/(-36))\/((-2)\/m). Factor -8\/3 + y*n - 2\/3*n**2.\nAnswer: -2*(n - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*a + 0*a + 5*a)*(126 + 76 + 14).\nAnswer: 216*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7040 - -7081. Solve -d*b + 24 = -33*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -840*s**2 + 3*s + 8. Let u be k(-2). Let c = u - -5172. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3887011.8 milliseconds to weeks.\nAnswer: 0.0064269375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.41294 years in millennia?\nAnswer: 0.00141294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -364 - -367. Determine m, given that -3*m**3 - 8*m**2 + 21*m + 0*m**p + 20*m**2 - 20 - 10 = 0.\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 18*t**3 - 22*t**3 + 8*t**3 - 3*t**2 in the form c + n*t**3 + o*t + s*t**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3920\/49*4\/(-10).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 5669*m**3 + 6*m**2 - 3*m - 9. Is u(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13700.72 rounded to the nearest 100?\nAnswer: 13700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -80, -227, -372, -515, -656, -795, -932?\nAnswer: -1067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 31 by -1.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 3113.7421 times -0.5\nAnswer: -1556.87105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.2, -9, -29?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-1840)\/(-270))\/((-2)\/(-11004)) + 148\/(-1332)?\nAnswer: 5, 7499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -18 - -21. Let m(r) = -r**3 + 5*r**2 + 7*r - 9. Let z be m(6). What is the closest to q in 0, z, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ho when two letters picked without replacement from hhhnhhhohn.\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -d**2 + 6*d**2 - 4*d**2 - 3*d**2. Let z be 0 + -1 - 0 - -3. Let g(k) = 4*k**2 + 5*k**z - 5*k**2. Give g(a(f)).\nAnswer: 16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (sqrt(128) + -1)*2 + (sqrt(128) + ((1*sqrt(128) + sqrt(128))*4 + sqrt(128) - sqrt(128)))*-3)**2.\nAnswer: 1600*sqrt(2) + 80016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - (-9 + 7) - ((-25 - -20) + 19).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 5, 4, 0 in decreasing order.\nAnswer: 5, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1 and -30.305337.\nAnswer: -30.305337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -89.769?  (a) -1\/4  (b) -46\/7  (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/((s*s*s**(-24)\/s)\/s*s))\/s)\/s**(-5) assuming s is positive.\nAnswer: s**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(-1\/22)*o**(1\/14)*o**(2\/11)*(o*o**9)\/o assuming o is positive.\nAnswer: o**(709\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -10*n - 24*n + 5*n in the form d*n + l and give d.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -75 + 147. Let q be (2\/(-3))\/((-142)\/1917). What is the greatest common factor of q and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -16947 + 24889. Calculate the greatest common divisor of 44 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/4 of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 403 from -0.5.\nAnswer: -403.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000009567 to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5865 + 35077\/6. Let r be 1*-25 + (-60 - (-90 + 24)). Is m less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that j**3\/4 - 65*j**2\/2 + 1023*j + 2178 = 0.\nAnswer: -2, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 54 + -1503?\nAnswer: -1427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.07 take away 123210?\nAnswer: -123210.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1\/((-3)\/(-4 + -2)). Suppose f*q - 8 = -0. Suppose 4*o + 0*o = 16. Solve -3*g - 4*a - 4 = 0, q + 6 = -o*g - 3*a for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20851 + 32484 = -1284*x + 14815 for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/8*3)\/(96*(-87)\/946560)\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*v**3 - 2*v**3 + 3*v**4)*((0 - 2 + 4)*(-3*v + v + v) - 390*v + 11502 - 11502).\nAnswer: -1176*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = -h - 3959, -5941 = -12*n + 9*n - h. Calculate the highest common divisor of 108 and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) be the second derivative of v**5\/50 - v**4\/15 - 91*v**3\/5 - 54*v**2 + 4476*v. Factor j(y).\nAnswer: 2*(y - 18)*(y + 1)*(y + 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a week in hours?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -r**3 + 13*r**2 + 1. Let z be p(13). Let w(h) = 57*h**2 - h + 2. What is the remainder when w(z) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -0.1, 1505, -230, 4, 17?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -15*h**2 - 242*h + 5666. Let j(v) = -8*v**2 - 121*v + 2834. Let p(y) = 5*j(y) - 3*u(y). Differentiate p(i) wrt i.\nAnswer: 10*i + 121","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -398\/5 smaller than -81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1608, -3235, -4862, -6489, -8116?\nAnswer: -9743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 209790 and 26334.\nAnswer: 43846110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 3  (b) 5  (c) -0.1  (d) -194  (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 2*g - 3. Suppose g*l - n - 6 = 0, -5*l + 2*n + 0*n + 9 = 0. Is 1 - 2\/l*-43 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 3*r + 8 = 0. Factor -9\/4*n - 5\/4*n**2 - 1\/2 + 7\/4*n**r + 9\/4*n**3.\nAnswer: (n - 1)*(n + 1)**2*(7*n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-348)\/24 - (6 - 15))*-2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -534*f**2 - 1424*f. Let p(o) = o**2 + 2*o. What is -3560*p(i) - 5*w(i)?\nAnswer: -890*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 116537, 116644, 116827, 117086, 117421, 117832?\nAnswer: 118319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 4, 0.1801, 1\/5, 3, -3\/17, 0?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**5\/(j\/j**(-6)))\/(j\/(j*j**(1\/2))*j)**(2\/171))**25 assuming j is positive.\nAnswer: j**(-8575\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.043 + 0.043. Let t = -5 + 4.93. Let r = t - -5.07. Which is the third biggest value?  (a) x  (b) r  (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -386*n - 3753 = 5511 for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7 - 7 + 1342*u.\nAnswer: 1342*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1654866, -3309734, -4964602?\nAnswer: -6619470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -6*s**2 + 642*s. Let a(d) = 13*d**2 - 1281*d. Determine -2*a(j) - 5*y(j).\nAnswer: 4*j**2 - 648*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5657532 is divided by 1885810?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is eighteen fifths of a millisecond in microseconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4.183114 + -0.033214. Let d = 4.12 - y. Round d to 3 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 bigger than -4.122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 43\/26 and 4\/(-26) - (1192\/(-143) + 6)?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-42)\/(-77) - ((-19)\/(-171) - (-20080)\/(-495))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5, -9\/2, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/(-1)*338\/(-156)*-2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 107268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 2.9 * -0.04\nAnswer: -0.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -20*n**2 - 14*n + 2. Let p(v) = -18*v**2 - 12*v + 1. What is -6*c(x) + 7*p(x)?\nAnswer: -6*x**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6 - -12. Suppose 5*k = 2*m - 46, 5*m - 2*m - 19 = -5*k. Let v = m - n. Solve v*p = 2*p - 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 22 - -7. What is the remainder when a is divided by -8 - 5*98\/(-35)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = -2*x + 166. Suppose 2*w = x + 70. Let m = w - 76. Does 17 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3469 - -6261. Does 69 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (5 - 4)*(9 + 2). Suppose -l*q + 9*q + 4 = 0. Differentiate -4 - 2*h**q - 7*h**2 + 14 with respect to h.\nAnswer: -18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 521354 and 2085416.\nAnswer: 2085416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p + 5*u + 5 = 0, -5 = -3*p + 3*u - 2*u for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 339196 and 80652?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 4*h. Let j(b) = 2*b. Let i(l) = -3*j(l) + 2*z(l). Let g(q) = -5*q**2. Give i(g(o)).\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -6.76 equal to -20443?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -58932544 by -334844.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes after 4:33 AM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n**3 + n**2. Let b(j) = 8*j**3 + 4*j**2 - j. Suppose 4 = -3*h - 2. Let s(z) = -z**3 + z. Let r(m) = h*s(m) - b(m). What is -5*i(c) - r(c)?\nAnswer: c**3 - c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 79.3668ml?\nAnswer: 0.0793668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*6*sqrt(1573)*-1 + -3*(-1*(sqrt(156) - sqrt(156)*-1))\/sqrt(12))**2.\nAnswer: 46800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 408321378 a multiple of 738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b**2 + 8*b + 9. Let s be i(8). Let q = 13 - s. Suppose g = -g - 5*a + 5, -q*a + 21 = 5*g. Solve -o = -g*o + 20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/(((k**9*k)\/k)\/k))\/k)\/k**(-2\/7)*(k\/(k*k\/(((k**(1\/2)\/k)\/k)\/k*k)))\/k**5*(k**(1\/3))**(-17)\/(k**(-1\/8)\/k**6) assuming k is positive.\nAnswer: k**(-2479\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uafbssasbsssas. What is prob of picking 2 a?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (176 - 25915\/146)\/(9\/(-16))?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 16, -76, 3, -2\/33, -1.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4.661 - 5.061. Let d = 6 - 7. Let s(z) = z**2 - 2*z - 4. Let a be s(-2). Put a, r, 0.1, d in increasing order.\nAnswer: d, r, 0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = u**3 + 16*u**2 + 63*u + 9. Let n be v(-9). Solve -n + 5 = -5*g - 3*w, -g - w = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 243.1 < -46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 354870?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 5 - -103566414?\nAnswer: 103566422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**4 + x**2 - x. Let p(i) = 455*i**4 - 6*i**2 + 6*i - 1883. Let q(d) = p(d) + 6*r(d). Differentiate q(w) wrt w.\nAnswer: 1844*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -34 + 33.6. Round v to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -116*m - 5*k = -113*m - 25010, 4*m - 33354 = -3*k. What is the lowest common multiple of m and 16?\nAnswer: 33360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that -h**3 - 20*h**2 = 0.\nAnswer: -20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 equal to -0.306?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vwd when three letters picked without replacement from ddtdtvddvdwvdtdvdd?\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 812 or 815?\nAnswer: 815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -60 divided by 221676\nAnswer: -5\/18473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -a**2 + 9*a - 8. Calculate the lowest common multiple of 16 and n(6).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 2*x**3 + x**2 + 1. Let j(t) = -19*t**3 + 7*t**2 + 11*t - 11. Let y(k) = -j(k) - 2*p(k). Let b(i) = 8*i**3 - 5*i**2 - 6*i + 5. Give -11*b(s) + 6*y(s).\nAnswer: 2*s**3 + s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -n**2 + 8*n - 3. Let p be i(8). What is the closest to 1 in -0.2, p, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -35 - 18. Let n = 581\/11 + g. Are n and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -945.8 rounded to the nearest ten?\nAnswer: -950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2037 divided by 21.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 less than -3725315?\nAnswer: -3725314.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 7700461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/53?  (a) 31  (b) 0.1  (c) -2  (d) -1\/4  (e) 1\/58  (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i + 3*w - 17 = 0, 4*i - 3*w - 13 = -24 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = 4*v + 36, 0 = -4*k + 2*v + v + 38. Suppose r = -3 + k. Calculate the lowest common multiple of r and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*((-2)\/(-18))\/(1\/3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -244, -246, -248, -250?\n\"Answer: -2*q - 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = -31*k + 27*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -23621*k - 3 + 1 + 23617*k. Determine m(6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {p: 2, a: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**2 + 3*r - 2064. Let y be k(-47). Sort 1, -30, y in descending order.\nAnswer: y, 1, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6276, -12588, -18924, -25296, -31716?\nAnswer: -38196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3861*l**3 - 4*l + 4*l - 3859*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 35 - 34.09. Let u = k - 1. Let m = u + -0.01. Is m at least 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -5  (b) -118\/5  (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 9652093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*m**2 + 0*m + 0*m + 3264 - 1839 to the form u*m + v*m**2 + y and give y.\nAnswer: 1425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 49895 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.02597 + -0.02597. Is d at most -7\/421?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3.99 + -3.78. Put -2\/5, 5, k, 1 in decreasing order.\nAnswer: 5, 1, k, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -151*d + 26628410 - 26628410.\nAnswer: -151*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z**3 - 2*z**2 + 5*z - 3. Let n be g(-4). Let i(u) = -u + 15. Let o be i(n). Find the third derivative of -4*x**6 + 3*x**6 - 4*x**o + 2*x**2 wrt x.\nAnswer: -600*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the first derivative of -1\/5*z**5 - 302 + 0*z**3 + 0*z + 29\/2*z**4 + 114*z**2. Find the second derivative of b(v) wrt v.\nAnswer: -12*v**2 + 348*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 60913.99 millilitres in litres?\nAnswer: 60.91399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -f**2*m - 77*f**2 + f*m - 33*m + 22 wrt f?\nAnswer: -2*m - 154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = y**2 - y - 4. Let j be (-7)\/(-2) + 5\/(-10). Suppose j*g + g = 60. What is the remainder when g is divided by d(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, 3\/4, -0.11, 3, 0.2.\nAnswer: -12, -0.11, 0.2, 3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 11 times -1.1\nAnswer: -12.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(50) + sqrt(50)*-2*6 - (sqrt(50) + (sqrt(50) - sqrt(800)*-1)))\/(-4*sqrt(100)\/(sqrt(60)\/sqrt(6))).\nAnswer: 17*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 640 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 7*u + 4. Let l(h) = -14*h - 7. Calculate -4*l(x) - 7*t(x).\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -48826817 divided by 13\nAnswer: -3755909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 219 and 21.\nAnswer: 1533","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 5275d8 (base 14) to base 12\nAnswer: b24562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3735149 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Product of 27 and -10.299.\nAnswer: -278.073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.4 + -1.4. Which is smaller: 0.5 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 54, -1\/2654, -3\/7, -3.\nAnswer: -3, -3\/7, -1\/2654, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that -4*b**5 + 22100*b**4 + 88620*b**3 - 862020*b**2 - 2786616*b = 0.\nAnswer: -7, -3, 0, 6, 5529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Add -6175056427.3 and 0.122.\nAnswer: -6175056427.178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*j**4\/2 - 3*j**3\/2 - 24*j**2 - 30*j.\nAnswer: 3*j*(j - 5)*(j + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(102)*-3 - sqrt(102))\/sqrt(6) + 2.\nAnswer: 2 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h + 3*s + 34 = 0, -12*h - 5*s = -14*h + 67 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 890?\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.5 + 391287.\nAnswer: 391287.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -573 = 108*l + 75 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -598383884 * 1.\nAnswer: -598383884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r = 5*r - 2*r + 217*f + 442, 0*r + 3*f - 4*f = 3*r - 10 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3\/2, -1343, -4, -1\/4, 5080?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -77\/1704 and -101\/70864?\nAnswer: 15094032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1628, -3799, -6456, -9593, -13204, -17283, -21824, -26821?\nAnswer: -32268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -361, -699, -1027, -1351, -1677, -2011, -2359?\n\"Answer: -d**3 + 11*d**2 - 364*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*t + 75016 - 25004 - 25010 - 25002 - 16*t.\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -16318 or -17004?\nAnswer: -17004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*n = 29127549 + 11132451. What is n rounded to the nearest 100000?\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7461\/650 + -150\/13. Which is smaller: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -28*x - 1188. Determine u(-43).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 2, p: 6, y: 1, j: 2, x: 3}. What is prob of sequence wy?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.488022661 - 32.\nAnswer: -32.488022661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -248136 rounded to the nearest 10000?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 235*f = 209*f + 107*f - 1782 for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 35 = -2*s - 3*i, s = 4*i. Suppose -5*d = -5*z + 35, -4*z + 27*d + 21 = 30*d. Calculate the remainder when s is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -49\/299 and -14\/325?\nAnswer: 7475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 58.33524 litres to millilitres.\nAnswer: 58335.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the first derivative of -4*n**3\/21 + 10*n**2 - 600*n\/7 - 1647. Let i(z) = 0. What is z?\nAnswer: 5, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -238 - -247. Suppose p*i = i + 80. Solve 2*g + 2*n = 4*n, 0 = -5*n + i for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 599017648?\nAnswer: 2, 37438603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.03806 and 7.\nAnswer: 7.03806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 2172.6, 3\/4, 0.05, 0.4, -0.1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 56836 and 52464.\nAnswer: 682032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.4 and 3.1459.\nAnswer: -1.25836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 3*n = -189083, 2*p - 2*n + 95896 = -93182. Let z = -36286 - p. Suppose 172248 = 3*d + z. Round d to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-62)\/961 - 6422\/403. What is the nearest to p in -1, -2.1, 0.5?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*x + 148 = 596. Let n be (-96)\/x*105\/10. What is the highest common factor of 30 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 71637300?\nAnswer: 2, 3, 5, 7, 83, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 56\/12*(-12)\/(-14). Let q(r) = -8 - 2*r + r - r + v*r. Let s = -11 + 17. Give q(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 - 2. Suppose -2*q - 14 = -4*x + 16, -3*x + 45 = -4*q. Let n = a - q. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = -2*o - 72, -3*p - 4*o + 56 = -2*o. Let m be (-1)\/(1 - 2) + -9. Let b = p + m. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-56)\/20)\/((-1)\/10). What is the greatest common factor of 7 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2570\/(-257) - (-40)\/2\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 16699158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.042 - -45.042. Let n = 45 - t. Does n = -9\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -27, 1\/3, -11, -4\/3, -55 in decreasing order.\nAnswer: 1\/3, -4\/3, -11, -27, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the third derivative of -j**6\/20 + 3*j**5\/5 + 571*j**4\/8 + 1425*j**2. Find the second derivative of m(a) wrt a.\nAnswer: -36*a + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -53  (b) 11  (c) -104  (d) -17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 100 - 98. Let a be 30\/(-6) + p + 7. Suppose 0*s + 8 = s. Solve 0 = -4*y - s - a for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 96816 and 2880384.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 728 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6244309?\nAnswer: 29, 197, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let -64*r**3 - 1696*r**2 + 4540*r - 2900 = 0. Calculate r.\nAnswer: -29, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 70220 rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 443 = 2*o - 207, 3*o - 1005 = -3*x. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 132 - 188. Let m = i + 23. Which is bigger: m or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-8)\/14*(75\/(-10) - -4). Let m(b) = 4 + 5*b**2 + b**3 - 3 + 1 - 3*b**n. Let s be m(-2). Solve -3*p + s = -1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 8, t: 1, y: 10}. What is prob of sequence kyt?\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -21 + 10. Let m = -3 - a. Is 1 greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6*(-1 + 2)\/(-2). Suppose -214 = -5*h - 49. Calculate the remainder when h is divided by (-2 - f)\/(10\/170).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of k*s**2*u + 327*k*s*u**2 + 997*k*s*u - 4*k*u - 12860*s**2*u**2 - 6*s*u + 3*s wrt u?\nAnswer: 654*k*s - 25720*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1436*r**2 - 5 + 5 + 1040*r**2.\nAnswer: 2476*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 120 and 3780?\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -9*k + 31. Let s be w(3). Suppose 4*x - 50 = -s*c + 7*x, -76 = -5*c - 3*x. Suppose c*v = 20*v - 18. Solve v*n = 6*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l - l = -3*a + 24, 5*l + a = 20 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v**4\/v*v*v)**(-5\/13))**(-16) assuming v is positive.\nAnswer: v**(480\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 129887?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 49\/1870 and 75\/88.\nAnswer: 7480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-236268)\/20 - (-196)\/140. Round u to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -v**3 - 6*v**2 + 95*v + 12. Determine t(-13).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 268177 and 27391?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 2*t + 1 = -8, -5*b + 19 = -2*t. Suppose -2284 = -4*n + p, n + b*p + 2855 = 6*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 102675 - 57231. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 6d + -1496?\nAnswer: -1427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: ((-60)\/36)\/(31\/(-28644)*-55)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 15 = 0, 5*i + 10 = 4*i + 4*c. Let f be ((-44)\/(-24) + i\/(-1))\/(-1). Sort 1, -1, f in descending order.\nAnswer: 1, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 5448304, 1 in ascending order.\nAnswer: -1, 1, 5448304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + 1 + (2 - 5 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 - -4. Let t(y) = 142*y**3 - 2*y**2 + 1. Let c be t(-1). Let r be 67\/13 + 22\/c. Solve -i - x*d - 14 = d, -5*d - 10 = r*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 275, 2, 3268, 6 in descending order.\nAnswer: 3268, 275, 6, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 2 = -4*m. Let g(b) = -b. Let r(k) = 2*k**3 + 6*k**2 + 20*k - 6. Let l(j) = m*r(j) + 44*g(j). Factor l(v).\nAnswer: 4*(v - 1)*(v + 1)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m + 2*b - 192 + 204 = 0, 2*m + b + 4 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -7\/43962 and 113\/12930?\nAnswer: 219810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1596703.\nAnswer: 19, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -q**2 - 7*q. Let w be x(-7). Suppose u - 6*u = w. Let v(o) = o**3 + o**2 - o - 16. Give v(u).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -47 + 2534645?\nAnswer: 2534576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -492*w**3 + 637*w**3 + 970*w**3.\nAnswer: 1115*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(5 + (sqrt(1700) - sqrt(1700)*2)**2 + sqrt(1700) + (-4*sqrt(1700) + -5)**2).\nAnswer: 1640*sqrt(17) + 115720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -684, -1583, -2694, -4017, -5552, -7299?\nAnswer: -9258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 180 = -7*m + 152 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -z + 3. Let a = -7 + 2. Let g(l) = -l - 1. Let u(j) = -5*j + 4. Let c(v) = -3*g(v) + u(v). What is a*b(f) + 2*c(f)?\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(1\/4)\/t)**(3\/7)*(t**(-3))**(-2\/49) assuming t is positive.\nAnswer: t**(-39\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the first derivative of 136*l**5\/5 - 4*l**3\/3 + 8*l**2 - 39. What is the third derivative of p(s) wrt s?\nAnswer: 3264*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1552 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.3?  (a) 0.01  (b) -1  (c) 8\/3  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 4*d = -909, -3 = -6*d + 3*d. What is the remainder when u is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = -h + 252. Let t be 12\/7 - (-18)\/h. Solve t = 4*d - 14 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -w**2 - 6*w + 5. Suppose 4*k + 72 + 19 = -5*q, 2*k + 8 = 0. Let j be 117\/q - 4\/20. Calculate u(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = -7 + 47. Suppose -3*q + n = q. Is q + (4 - (2 + 0)) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (16 - (7 + 0)) + -7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 512 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 226 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -142*l + 305 - 766 = 2379 for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -6, -14, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*g + 48*g**2 - 149*g**4 - 2*g - 22*g**5 + 101*g**4 + 14*g**3 = 0. What is g?\nAnswer: -2, -1, -2\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -c**2 - 4*c + 4. Let w be r(-4). Suppose -2*h - 4 = -w*z + 2*h, -5*h = 10. Let f be 1*((-1)\/26)\/(1\/(-2)). Which is smaller: z or f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -c633 (base 14) to base 4\nAnswer: -20111211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10488.\nAnswer: 2, 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.82 smaller than 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 532 minutes before 6:15 PM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -230, 1, 4, 2 in decreasing order.\nAnswer: 4, 2, 1, -2, -230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 44902104?\nAnswer: 2, 3, 13, 71, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**3 + 13*t**2 - 24*t + 10. Let r be y(11). Let c(j) = -j**3 - 11*j**2 + 11*j - 9. Let q be c(r). Solve n = 2*u - 3, -3*n = n - q*u - 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 3*d - 52. Let v be z(13). Let t = v - -106. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = z**3 - 34*z**2 + 98*z + 36. Let l(j) = 58*j - 84. Let y be l(2). List the prime factors of s(y).\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the second derivative of g**3\/6 + 6*g**2 + 15*g. Let f be 3\/((72\/(-33))\/8). Calculate p(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41*q + 36*q + 0 + 61*q + 2*q**2 + 0 - 89*q.\nAnswer: 2*q**2 + 49*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*j**2*z**2 + j**2 - 12*j*z**3 + 37*j*z**2 + 9*z**3 + 132*z - 799 wrt z?\nAnswer: 8*j**2 - 72*j*z + 74*j + 54*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 107492 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 9674939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -44*o**2 + 9*o + 9. Let n(g) = -11*g**2 + 2*g + 2. Let u(b) = 9*n(b) - 2*v(b). Let a(c) = -6*c. Give u(a(j)).\nAnswer: -396*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 22*j**2 - 5*j - 24. Determine p(-2).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/((-68)\/(-1377)*-9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 43 and 34400?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*k = -28*k + 65802. Suppose -95*c + 89*c + k = 0. What is the hundreds digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = 4, -4 = 3*n - 3*m + 2. Let j(z) be the second derivative of 0*z**3 + 4*z - 1\/2*z**4 + 0 - 3\/2*z**n. Differentiate j(t) wrt t.\nAnswer: -12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2.401 - -5.401. Put -4\/217, 1\/7, s in ascending order.\nAnswer: -4\/217, 1\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/48*-148*-20*(-105)\/(-350)\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -8 + 3\/(-3)*-2. What is the units digit of (-2)\/j + 104\/12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11770*z**3 - 223 - 214 + 671 - 3438*z**3 - 234.\nAnswer: 8332*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (1 - 11) + 0\/8. Let v be (-30)\/(-7) + l\/35. Suppose 3*i + v = 49. Calculate the remainder when 44 is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5\/1 - 11\/(-264)*-104\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (1\/2)\/(4\/((-240)\/(-15))). Solve -t*w = -2*f - 16, 0 = 3*f - 4*f + 2*w - 11 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4 - 19?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 6*p + 5. Let c(m) = -5*m - 6. Give -4*c(o) - 5*t(o).\nAnswer: -10*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dvuuddvvwwuuwwwwwdw. Give prob of picking 2 v.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -16819, -67059, -150751, -267901, -418515, -602599?\n\"Answer: -n**3 - 16720*n**2 - 73*n - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-10)\/7 + (-6)\/(-14). Let l be (1*-1)\/(n\/(-83)). Let u = l + 161\/2. What is the common denominator of u and 27\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 148571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 11 times -1\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 + 1. Suppose c + 0*c + 5*b - 51 = 0, -2*c + 72 = 4*b. Suppose -i + 5*f = -c, x = -2*f - 8. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5448891*b**3 - b**2*h**2 + 3*b**2*h - 2*b*h**2 - b*h - 383*h**2 - h - 5039 wrt b.\nAnswer: 32693346*b - 2*h**2 + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-24)\/(-60)*10\/136)\/(21\/28).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1590\/(-1272)*(-44)\/5.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(33) - (sqrt(297) + sqrt(297)*3 + sqrt(33)))\/sqrt(3)*-3.\nAnswer: -180*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 43*m = 112*m + 77 + 751 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 475100 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by -60611\nAnswer: -5\/60611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express f**2 + 50*f - 9 - 19 + 30 - 30 as i + k*f + h*f**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (18*u - 3*u - 8*u + 17*u)*(-4*u**2 + 0*u**2 - 4*u**2).\nAnswer: -192*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = -3*z + 10069, -3*o + 1496 = -2*z + 8177. Is z greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -179\/5, -0.5, 186, 0.7 in decreasing order.\nAnswer: 186, 0.7, -0.5, -179\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 173 minutes after 1:06 PM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2045?  (a) 27.1  (b) -3  (c) 2\/17  (d) -0.2  (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(1620) - (sqrt(1620) - -4*(sqrt(1620) + sqrt(1620)*3))))\/((sqrt(280)\/(sqrt(28) - sqrt(7)))\/(sqrt(400)*2 - sqrt(400))).\nAnswer: -2880*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9 (base 14) to base 8.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -137402 divided by -4738.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -c**2 - 3*c + 4. Let q be l(-4). Let o be ((-1 - -1) + -2)*-1. Solve 4\/3*k**3 + q + 2\/3*k - 2*k**o = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/f**(-2\/9))\/f**(-3\/8))\/(f\/f**(1\/2))**(-47) assuming f is positive.\nAnswer: f**(1807\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = 3*v - 7*v + 116, 3*r + 33 = v. Calculate the highest common factor of 54 and v.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17013*v - 222830 = 938*v + 998870 for v.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1762 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: What is 82 minutes before 3:08 PM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 365 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -u**2 + 13*u. Let n be f(14). Let y = n - -18. Suppose -y = -s + 5. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -128250 = -35*x - 60*x. Calculate the remainder when x is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(20)\/sqrt(4) + 0)*-1.\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 550 - 577.9. Let m = l - -28. Which is the closest to m?  (a) -3  (b) 0.4  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 172 and 196166.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aod when three letters picked without replacement from {o: 4, d: 3, n: 10, a: 1}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 10\/(-15) + 316\/(-192) and 1839\/(-90) + (-2)\/5.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -133714290, -534857168, -1203428632, -2139428682, -3342857318?\n\"Answer: -133714293*m**2 + m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -3935 to the nearest one hundred.\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 22377.50685 rounded to the nearest 10?\nAnswer: 22380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.030342276 to 4 dps.\nAnswer: -0.0303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = 43 - 121. Let k = p - -43. Is k >= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 4*b + 27. Let t be o(-7). Let w be -3 - t - -3*(-1 - -3). Which is smaller: w or 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 624 and -10.6?\nAnswer: -6614.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*g + 3*d + 10019991, -4*d = -3*g - 280220 - 9739792. Round g to the nearest 100000.\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 5*c = 18. Let j(r) = -3*r - 3. Let k be j(-2). Suppose z - w = -0*z + k, -4*z + 5*w = -13. Solve -2 = z*b - c for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 49 is divided by 35?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 4*q + 7 = -q, 2*q = -2*z + 2. Let d(t) = 2*t**2 + 57*t + 450. Let u(n) = -2*n**2 - 58*n - 450. Let k(v) = z*d(v) - 3*u(v). Factor k(f).\nAnswer: 2*(f + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -f**2. Let b(h) be the second derivative of -31*h**4\/12 - 4*h. Calculate b(c(s)).\nAnswer: -31*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7 - 7. Suppose 0 = -j*w + 2*w - 4. Find the second derivative of -w*y - 7 + 7 - y**3 wrt y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2602876 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 13*s - 15. Let r(b) = 39*b - 46. Let l(u) = 13*h(u) - 4*r(u). Determine l(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -169*g + 76 = -73 - 189 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -35 + 38. Suppose v*i - 2*t = 21, -2*i + 5*t + 19 = 2*t. Suppose 0 = -2*p + 60 + 30. Calculate the highest common divisor of i and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6273 = 21*a - 4521. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1825 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.3 and 34542.\nAnswer: 10362.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the first derivative of -2*z**5\/35 - 5*z**4\/14 - 16*z**3\/21 - 4*z**2\/7 + 104. Factor b(c).\nAnswer: -2*c*(c + 1)*(c + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 804396?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (22*(-472)\/8437)\/(2\/13).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.015 and 2.941.\nAnswer: 2.926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(6\/5)\/q**(1\/10)*q*q\/(q*q**(2\/29)\/q)*q\/(q\/q**(-2\/25)) assuming q is positive.\nAnswer: q**(4279\/1450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k**3 - 4*k**2 - 4*k - 4. Calculate the remainder when n(-5) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -6 + 3*a + 2*a + 6*a**2 - 5*a with respect to a.\nAnswer: 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28233 is divided by 5644.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 46.7, -5057, -1\/5 in increasing order.\nAnswer: -5057, -1\/5, 46.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 3*t + 3839 = 0, 0 = 3*n - 7*t + 4*t - 2301. Let p = n - 349. Calculate the lowest common multiple of 20 and p.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*r + 8*r - 64. Let u = 1 + r. Calculate the remainder when 67 is divided by u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w + 2. Let b be k(2). Suppose -2*y - 10 = -4*j + 12, b*y = -2*j + 6. Suppose -4*g = -j*g. Which is bigger: 2\/9 or g?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1 - 2*1\/5. Let n = 0.1 + 9.9. Let o = n + -5. What is the closest to 0 in o, f, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 71\/2022 and 41\/24938?\nAnswer: 74814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 4 + 0*v - 5 + 6*v**3 + 3*v**3 - 2*v as z + b*v**3 + a*v**2 + k*v and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = m - 33. Is m a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -11 - -14. Suppose 0 = 2*x - 5*t + 19, g*x + t = 11 + 3. What is the second derivative of 4*b**3 + b + 8*b**3 - 9*b**x + 0*b wrt b?\nAnswer: 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12*h**2 - 6*h**2 - 28*h - h**2 - 2*h**2 - 1 to k + p*h**2 + o*h and give o.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v - 2*v - 3*v. Is b(-2) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.3*113357621\nAnswer: -34007286.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -3*r**2 - 3768*r + 41815. Determine x(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j**3\/3 - 112*j**2 - 1400*j\/3 + 1376 = 0. Calculate j.\nAnswer: -6, 2, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 17*v**3 + 102*v**2 - 4*v + 4. Let i be t(-6). Suppose 2*x - 8 = -0*x. What is the highest common factor of x and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(171)\/sqrt(576) + sqrt(19))**2 + sqrt(19) - sqrt(19)) + -3.\nAnswer: 1347\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 - 1. Let x(f) = 3*f**3 + f**2 + f - 1. Let h be x(1). Suppose v = -n - 4*v - 13, h = -n - 2*v. Which is the nearest to n?  (a) -1\/2  (b) 1\/4  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -d**3 - d**2 + d + 2. Let o be k(0). Let s be o\/(112\/54 + -2). Let m = s + 86. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-66 + 71 - (1 - -2)) + 9 + -6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1816 + 1854. What is the lowest common multiple of 1672 and o?\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-14)\/(-56)*(-5 - 2)*-4. Solve -3*o = -4*m + 11, -o - 2*m + d = -2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.04  (b) -5\/2  (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-28)*a**36*a)\/(a**(3\/7)\/a**(-27)) assuming a is positive.\nAnswer: a**(-129\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.47541815 to four decimal places.\nAnswer: -0.4754","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 243 - 203. Let r be -5*((-1712)\/g - -1). Calculate the highest common divisor of r and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 10*a - 5. Let m(s) = -s - 1. Let h(x) = -4*m(x) - w(x). Let o(z) = 13*z - 19. What is 9*h(n) + 4*o(n)?\nAnswer: -2*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*f - 2*s + 432, 4*s = 4*f - 0*f - 432. Suppose 0 = -3*a - x + f, 0 = 5*a - x - 4*x - 200. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -10201*w + 5. Let x be i(5). What is x rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 4 = p + 4*s, -4*p + 27 = 5*s. Let k = 13 - 21. Let m = p + k. Which is greater: -1\/18 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 55, 10, 2 in descending order.\nAnswer: 55, 10, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-3)\/(-6) - (-5)\/(-30))\/1. Let o be 2 + (1\/(-3) - 1). Factor j + k*j**2 + o.\nAnswer: (j + 1)*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 37\/271 in 1\/5, -5, -5\/6, -0.4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - q + 20 = 0. Let o be 0\/1 - (-54 - -48). Solve -o*w - q = -4*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - (-4 - -14) - -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 113 rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 201021301200 (base 4) in base 11?\nAnswer: 49a6573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z - 14 - 35 + 37 = 4*c, z - 15*c + 3 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*l + 4*l + 2 - l)*(-26 + 58 + 341).\nAnswer: -746*l + 746","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -85\/6 or -0.01?\nAnswer: -85\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -369873 rounded to the nearest one thousand?\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -91\/61224 and -67\/10204?\nAnswer: 61224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 545 - 2169\/4. Find the common denominator of b and -39\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-7\/2)\/((z\/z**(-2\/43))\/z)*z\/z**(-16)*z**14 assuming z is positive.\nAnswer: z**(2361\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 460 (base 9) to base 2\nAnswer: 101111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2128.361kg to grams.\nAnswer: 2128361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*x = 5*x - 96. Let y be (x\/10)\/(28\/(-3010)). Let v = y - -82. List the prime factors of v.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -125200 - -125200.14099762. Let f = i - 0.141. What is f rounded to 7 dps?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uiiiuui. What is prob of picking 2 i?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1058137 + -17?\nAnswer: 1058120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (100\/(-25))\/(18*1)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12797?\nAnswer: 67, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3.98 + 0.02. Let f = -0.08 - -9.08. Let v = f - u. Which is the closest to -1?  (a) -2  (b) 2\/19  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 30524\/23 or 1327?\nAnswer: 1327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6 - 0. Let b be m\/(-2)*(-3)\/(-3). Let g(c) = -3*c**3. Let o(i) = 22*i**3 + i**2 - i - 1. Let x(d) = b*o(d) + 21*g(d). Suppose x(a) = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-79*a - 87 + 87)*(-5*a**2 + 4*a - 4*a).\nAnswer: 395*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 25 - 25.0001589. Round s to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rvkrrvrvr. Give prob of sequence rvrv.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4123.\nAnswer: 7, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 42\/8 + 7\/(-28). Suppose q - 3*t = 26, 3*q = 4*q + 4*t - k. Let l(h) = q*h**2 - 11*h**2 - 11*h**2. Let n(c) = 4*c**2. Give n(l(m)).\nAnswer: 100*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 + -2. Suppose 2*x + x + 36 = n. Let w = x - -26. Calculate the greatest common divisor of w and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -666*b**3 + 5 - 404*b**3 - 6.\nAnswer: -1070*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, 92, -347, -48 in decreasing order.\nAnswer: 92, 7, -48, -347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 560, 1987, 4290, 7481, 11572?\n\"Answer: 2*p**3 + 426*p**2 + 135*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 42956824 a multiple of 443?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-788)\/(-4))\/(1\/1). Let q = t - 109. Calculate the remainder when q is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 549101?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3 - 8. Let t be 0\/(-1) - 10\/h. Suppose -5*k - u + 2*u = -10, 0 = -k - 5*u + t. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -165*b + 155*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -295, -261, -211, -151, -87, -25?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -23*k**3 - 161128*k**5 + 161129*k**5 - 27*k**4 + 5*k**2 + 475*k + 392*k + 10*k**4 wrt k?\nAnswer: 60*k**2 - 408*k - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + 5 + (0 - 5 - -11 - -1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 8*z - 69. Suppose -81 = -6*b - 27. Calculate n(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -2*n - 7. Let k be q(-6). Let o = -29.181 + 21.181. Which is the smallest value?  (a) o  (b) -0.1  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 + 4 = -3*h. Suppose 0 = -h*z - 0*z + 2. Let g = 6 + -5.6. Sort -2\/9, z, g in decreasing order.\nAnswer: z, g, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = -2*p - 0*p - 5*i, -i = p + 2. Suppose p*s + 3 = 2*x, 8*x + 5 = 3*x - 5*s. Suppose -4*h + 4*r = -28, 0*r + 4*r + 8 = x. Solve h = 3*q + 17 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -9 - (-1862)\/420*2 - (-4)\/30. Solve k = 3*u - 105 + 99 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 191621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1095 is divided by 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j + 7. Let l be t(-7). Let r be 1*(-2)\/(-12)*3. Let o = -36 - -39. Which is the nearest to l?  (a) 3\/7  (b) r  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -12.721253048 - 10387.\nAnswer: -10399.721253048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1090542 to the nearest integer?\nAnswer: 1044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 2 times -2072.7037\nAnswer: -4145.4074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3338724, 3338736, 3338748, 3338760, 3338772, 3338784?\nAnswer: 3338796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*l - 5*t + 20, -20*t + 15*t = -5*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/2, 1\/3, 0.1, -92, 5\/4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s - 24*z + 10 = -36*z + 11*z, 3*z = -4*s + 40 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 8362 and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 13284600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(475)*-1 + -3 + sqrt(475) + -5)*-4 + ((sqrt(1900) - (sqrt(1900)*3 + -3)) + sqrt(1900) + sqrt(1900) - ((sqrt(1900) + 1 + -5)**2 - sqrt(1900))).\nAnswer: -1881 + 90*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6273 is divided by 198?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the first derivative of 2*u**3\/15 + 2*u**2\/5 + 2*u\/5 - 3. Solve y(v) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*u**5 + 64*u**4 - 104*u**3 + 64*u**2 - 12*u = 0. What is u?\nAnswer: 0, 1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8954263.\nAnswer: 19, 471277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 4, e: 2, z: 3}. Give prob of picking 1 z and 1 g.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 91.00546 rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-six fifths of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 507, 3796, 12735, 30150, 58867?\nAnswer: 101712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c = -2*p - 8, p - 6*p = 2*c + 17 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-27)*j)\/(j*j**(-7)\/j))**(-1\/6) assuming j is positive.\nAnswer: j**(19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/3, 0.4, -0.3, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 12*i + 9. Let t be d(-1). Let n be (-191105)\/t - 80\/48. Suppose -17*c + 4*c = -n. What is c rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1521682 to the power of 1\/2, to the nearest integer?\nAnswer: 1234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n + 3*r + 19 = 0, -3*n + 106*r + 14 = 102*r for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -5, 10, 0, -58 in decreasing order.\nAnswer: 10, 0, -5, -8, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17655602.\nAnswer: 2, 109, 80989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3429*j + 8104 = -4442*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = z**3 + 8*z**2 + 13*z + 1. Let h be m(-6). Let b(p) = p**2 + p - 4. Give b(h).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 9*l**2 - 40*l - 86. Let x be m(-2). Solve 5*s = 5 + x for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 110656197.\nAnswer: 3, 23, 534571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve w + 2*w = 4*x - 23, -35 = 5*w - 5*x for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 64469 divided by -16?\nAnswer: -64469\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 23 = -3*l, b + 9 = l + 30. Calculate the lowest common multiple of b and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 217916 or 217917?\nAnswer: 217917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -2, 22, 3, -21.\nAnswer: -21, -2, 2, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2976 + -2904. What is the remainder when 982\/7 - (-10)\/(-35) is divided by b?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(3 + (sqrt(44) + -1*sqrt(176) - -4*sqrt(176)\/sqrt(4) - (2*sqrt(264)\/sqrt(6) + -5))))**2.\nAnswer: 288*sqrt(11) + 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -21*n + 1272 + 1353. Calculate the remainder when n is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000143426 rounded to seven decimal places?\nAnswer: 0.0000143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -15435, -15431, -15417, -15387, -15335?\nAnswer: -15255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2487.265 rounded to the nearest 10?\nAnswer: -2490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = p**3 + 16*p**2 + 9*p - 7. Let x be t(-16). Let w = -149 - x. Solve w*h = 5*j - 33, 5*j - 2*h + 6*h - 9 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1496456 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) be the first derivative of -6*b**3 + 4. Let a(x) be the third derivative of 0*x**3 + 0*x**4 + x**2 + 0 + 0*x - 1\/30*x**5. Give p(a(y)).\nAnswer: -72*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.633 - -0.59. Let j = 0.143 + i. Put j, -2\/13, 7 in increasing order.\nAnswer: -2\/13, j, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the second derivative of 175*w + 0 - 5\/12*w**6 + 29\/8*w**5 - 4*w**2 - 17\/2*w**4 + 25\/3*w**3. What is a in p(a) = 0?\nAnswer: 2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*o - 1338847 = -29*o - 22*o. What is the ten thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 830359 rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 154 = -d, p = 5 - 0. Suppose -20 = -178*v + d*v. Solve -w = 5*i - 18, -2*i + v*i - 12 = -w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from mmzzmmmmczmmmcmzmmmz?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -29, -169, -419, -779, -1249, -1829?\n\"Answer: -55*i**2 + 25*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 190448866 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 18*i + 349. Let o be t(-59). Which is smaller: o or -715?\nAnswer: -715","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*d - d + 4*d)*(-248 - 110 - 43 - 236 + 14).\nAnswer: 1246*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**3\/2 + 84*z**2 + 767*z\/2 - 41040.\nAnswer: (z - 19)*(z + 27)*(z + 160)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -2*m**3 + 18*m**2 + 91*m - 789. Give r(9).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = y + 48. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-77)\/68 - ((-222)\/24 - -8)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b = 4*v - 22 + 1, -28 = 3*v + 5*b for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 5*y - 702 = 0, 3*k = -0*k - 3*y + 2166. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3629141080?\nAnswer: 2, 5, 53, 1711859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 11*g**2 + 57*g - 180. Let c be s(4). What is the greatest common divisor of c and 3500?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*a**3 - 28156*a**2 + 84496*a - 56336 = 0. Calculate a.\nAnswer: -7042, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 14056*h**4 + 3197*h - 499976434?\nAnswer: 56224*h**3 + 3197","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 97\/792 and -85\/1872.\nAnswer: 20592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 + 6. Let m(a) = 0 + 0 + n - a. Let t be m(5). Which is smaller: -2\/59 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 983201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 13*u**2 - 4*u - 615. Give m(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:34 PM and 3:51 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 27*i + 330 = 26*i, 0 = i + 1. Is -330 at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12*((-6)\/(-18))\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 282*h - 245*h = -1364 - 967. Let w(n) = 24*n + 3. Let j be w(-3). Let b = h - j. Solve 3*v = 9 + b for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s and 1 n when three letters picked without replacement from {r: 1, s: 4, l: 7, p: 4, d: 2, n: 1}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 1\/11570?\nAnswer: 1\/11570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -15*u + 12. Let j be y(2). Let h = j + 23. Solve -3*x + 15 = 0, -h*b - 2*x = -0*b - 25 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = i - 172, -4*j + 7*j = -3*i + 471. Suppose -16*o + 19*o - 40 = 5*g, -3*o = 2*g - 68. Calculate the greatest common divisor of o and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 185 divide 1486123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -5510 (base 8) in base 3?\nAnswer: -10221222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 10 = 5*d, 0*d - 4*d - 8 = -4*a. Let c = -107 - -113. Suppose c*h - 2*h = -5*o - 6, -o = -h - 6. Solve -o*s + d*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -83*f**2 - 8. Let d(g) = -44737*g**2 - 4316. Let o(a) = 2*d(a) - 1079*y(a). Let k(j) = 2*j. Give o(k(p)).\nAnswer: 332*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 710 minutes after 9:55 PM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 125, 169, 213?\n\"Answer: 44*p + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2268) - sqrt(2268)*1 - (sqrt(63) - (sqrt(63) - sqrt(1575)*2 - sqrt(63))**2))*1.\nAnswer: -3*sqrt(7) + 6300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 5*o**2 + 7*o + 6. Let d be u(7). Suppose -3*x + d = -1257. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s + 1. Let f(k) = -2*k**2 + 14*k - 14. Let b(x) = -2*f(x) - 28*l(x). Let i(t) = -2*t**2 + 0*t**2 + t**2. Determine i(b(p)).\nAnswer: -16*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9*5\/(-20)*-12)\/(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -7*u - 19. Let b be h(-4). Let j be 1*(-2 + (b - -3)). Does 8 divide (16\/j)\/((-2)\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -174*v**3 - 11*v**2 - 2*v**2 + 6*v**2 - 2*v**2 + v**2.\nAnswer: -174*v**3 - 8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 - (-7 - (-13 + 4))) + -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 100 - 99.944. Let t = -0.076 + y. Let h be (-3)\/(-63) + (-2)\/(-7). Put -4, h, t in ascending order.\nAnswer: -4, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 11\/1371 and 67\/12339.\nAnswer: 12339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -2*l**2 - 44*l + 210. Let b be p(-26). Let d = -4 + 6. Suppose -d*h = -8 - 2. Solve -2*o = i + 10, b*i - 25 = -0*i + h*o for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 16965 - 16964. Solve 4*g - 37*j + 34*j + l = 0, -4*g - j + 11 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 529.9157 + 0.0843. Let s = 530.2 - r. Put s, -0.6, -0.2, 0.1 in ascending order.\nAnswer: -0.6, -0.2, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3, -2547, 2\/9?\nAnswer: -2547","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 1 + 24*i + 26*i + 19*i + 29*i - 97*i. Give n(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1988 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -28 in 10, 1\/2, -145\/7?\nAnswer: -145\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 15109*m**3*q**3*w - m**3*q**2*w**2 - 67241*m**3*q**2 + 40*m*q**3*w**2 + 7*m*w**2 wrt q?\nAnswer: 90654*m**3*w + 240*m*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 767328 and 168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 524650\/3430 - 153 - 32\/4018?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -25489*t**2. Let c(g) = -2*g. Calculate z(c(h)).\nAnswer: -101956*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -125 = -5*g + 5*z, -135 = -5*g + 2*z + z. Suppose n - 3*n = -g. Let p = n - 14. What is the least common multiple of 10 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.7766 to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 34 and 706.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + -2 + -3*sqrt(180) + -4*-5*sqrt(180))**2.\nAnswer: 52020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1169 is divided by -1*31\/((-217)\/630)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 + 2 - -5 - (23 + -21)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-90)\/(-10))\/(522\/4234)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -575.39091 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7 - 9. Let a(p) = p + 2. Let k be a(d). Find the first derivative of -2 - 4*n**3 + k + 0 + 1 wrt n.\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -13447 + 13420. Let u = 1.1 + -0.1. Sort u, j, 1\/8.\nAnswer: j, 1\/8, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 411 divide 28719757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 20*n + 20. Let b be u(-1). Solve -4*m - 5*g = -10, b*m - 2*g + 4 = -2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f + 189*d - 186*d = -3, 0 = -2*f - 2*d + 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:15 AM and 7:40 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (14\/28*92)\/(4\/(-2)). Let b(h) = 2*h**3 + 46*h**2 + h + 21. Give b(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 9005.0889 to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 330 divided by -2\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = a**3 - 12*a**2 - 6*a + 158. Calculate n(13).\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (193843\/(-1147))\/(130\/(-90)).\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -5054, -5058, -5062?\n\"Answer: -4*z - 5050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*-2*sqrt(272)*-3)**2.\nAnswer: 244800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 537850821.74262413 - 537850879.2. Let h = 56.757376 + n. Let x = h + 0.7. Round x to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -72 = 22*l - 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = -4*y - 12, 3*o = 3*y + 4*o + 4. Suppose y = 18*k - 13*k - 240. Let n be 4 - (-2 - (-1 + 1)). Calculate the highest common divisor of k and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 756.67369 rounded to 0 decimal places?\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**31\/(x**31\/x))**(-43) assuming x is positive.\nAnswer: x**(-43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 813730672 divided by -4194488.\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00018582208 rounded to five decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*a + 0*a + 3*a + (3 - 4 + 0)*(a - 3*a + 4*a) - 7*a - 13*a - 6*a + 3*a + 18*a + 0*a + (-1 + 6 - 3)*(1 + 2*a - 1).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -957 - 453 = 46*g + g for g.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.06 - -5.94. Let c = q - 5. Is c > -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 72237724 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 124 + -5?\nAnswer: 11a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -32891876*c*m**2 - 2*m**2 + 2*m - 234276 with respect to c.\nAnswer: -32891876*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -257546, -515056, -772566?\nAnswer: -1030076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d + 3*d + 47*m - 4 = 45*m, 0 = d + 3*m + 14 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/((p\/((p**(-17)*p)\/p))\/p))\/(p*p\/(p*p**(-8)*p)) assuming p is positive.\nAnswer: p**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 2, k: 2, e: 1, n: 8, h: 3, q: 1}. What is prob of picking 1 k, 1 h, and 1 e?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 28 - 29. Does 30 divide (-722)\/(-8) + i\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 4*w - 11. Let f = -152 - -167. Let k be (0 + (-25)\/f)*(7 - 10). Determine d(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12322)\/122 + 66 + -1*4.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-1)\/(5634\/1410 + -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by 1920.\nAnswer: -1\/960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 872*d**2\/9 + 7918*d\/9.\nAnswer: 2*d*(436*d + 3959)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 + 7 - 230316*z**2 - 2.\nAnswer: -230316*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 480 minutes after 6:01 PM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (8 - 171\/21)\/((8\/12)\/(-2)). Find q, given that -o*q**2 - 3\/7*q**3 + 0 + 0*q = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 1\/770500?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.67579 nanograms to grams.\nAnswer: 0.00000000867579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -x - 6. Let w be o(-8). Suppose 2*a = -w*a + 8. Suppose -5 = c - 5*m, a*m = -7*c + 2*c - 25. Put c, -1, 3 in increasing order.\nAnswer: c, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s*s*s**(-6\/13)*s)*s)\/(s**23*s)*(s**(4\/5))**(-33) assuming s is positive.\nAnswer: s**(-3311\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1 - -0.6. Let g = w + -2.2. Let a = -2.59934 - g. Round a to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 640 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 55*z - 323. Let f be c(6). Solve f*p + 5 = 6*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 127 + 18. Suppose -3*v + n = 55. Does 13 divide 99\/2 - 15\/v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 32313.5275 to the nearest one thousand.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-6)\/4)\/((-2)\/(-4096)*-4). Let c = -419 + o. List the prime factors of c.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -155.27 + 153.27. Which is greater: -62\/39 or a?\nAnswer: -62\/39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4.7  (b) -271  (c) -2  (d) -1\/6  (e) 6  (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((78\/325)\/(-15*(-15)\/1125))\/(45\/(-50)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00131426 rounded to 4 dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) be the second derivative of -m**4\/3 - 8*m**2 + 7*m. What is the first derivative of h(y) wrt y?\nAnswer: -8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -3*g - 25. Give k(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -0.96 - 1.57875\nAnswer: -2.53875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -1 - 0 - (-22)\/26. Suppose s - 16 = -3*s - 4*i, -4*s - i = -4. Is s greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6144 and 200?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 304 minutes after 4:35 AM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -o + 3. Let h be k(0). Suppose p = t + 8, -h*t + 4*t - 2 = 0. Let s(n) = n**2 - 8*n - 18. Let w be s(p). Solve -w = -2*g - 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 26*p**4 - 2*p**3 + 2 - 262*p**2 + 262*p**2 + (-123*p + 123*p + 25*p**3)*(2*p + 3*p - 3*p).\nAnswer: 76*p**4 - 2*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (60 - (2 - 7)) + -61?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven fifths of a century in decades?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 251, 224, 179, 116?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -18774 (base 10) to base 16.\nAnswer: -4956","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4439552)\/313664)\/(1\/(13\/(-6)))*1\/(-2).\nAnswer: -46\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.2 - -0.4. Let v = l + 3.8. Let i = -0.99 - 0.01. Which is bigger: i or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) be the second derivative of -b**8\/28 - 93*b**5\/10 - 761*b**4\/3 - 3*b - 67. What is the third derivative of n(g) wrt g?\nAnswer: -240*g**3 - 1116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 143\/252897072 and 13\/240?\nAnswer: 1264485360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the second derivative of a**3\/3 + 48*a. Let d(w) = 45*w - 4 + 32 + 27. Let o(b) = b + 1. Let v(s) = -2*d(s) + 110*o(s). What is p(v(k))?\nAnswer: 40*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - 21) + 150 + (-51 - 112)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9\/12*1\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4.9 in -60646, -0.1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -12 - -102?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -12*c + 16*c + 32, 62*g + 4*c = 65*g - 23 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 d when two letters picked without replacement from {t: 2, d: 4}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -939*t = -5382*t - 347*t + 28289 + 33981 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 65\/792 and 125\/18.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 3*u - 2*u. Let n = u - 5. Put 5, n, -4 in increasing order.\nAnswer: -4, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16 - (360\/(-216))\/(5\/(-9))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -16 or -437?\nAnswer: -437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 4*p - 2. Let g(d) = -3*d + 2. Let u(v) = -5*g(v) - 4*o(v). Give u(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-w - 3*w + 2*w)*(-928 + 928 - 1142*w) as m*w**2 + a*w + h and give m.\nAnswer: 2284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -808*k - 4639*k**2 - 456*k - 364*k - 1405*k wrt k?\nAnswer: -9278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the second derivative of -4*a**4\/3 + a**2\/2 - a. Let w be s(1). Let p be (w\/(-9))\/(2\/42). What is the highest common factor of 14 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 - 2 = 2*y - 4*q, 2*y + 3*q = 27. Let f be 1\/y - 43\/6. Let u(o) = -2*o + 2. Calculate the smallest common multiple of 6 and u(f).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 13, c: 6}. Give prob of picking 1 g and 1 c.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 47*l + 42 + 4 + 34 - 83.\nAnswer: 47*l - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v - 52 = -44 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -155 (base 15) to base 6\nAnswer: -1225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 105713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5 in 378, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.8 + -1.85. Let r = -0.3 + 0.05. Let k = f + r. Which is the third smallest value?  (a) -2  (b) 1  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t\/(t*t*t*t\/((t\/(t*(t*t\/(t\/(((t*((t**(-17)\/t)\/t)\/t)\/t*t*t)\/t)))\/t))\/t*t)*t*t))**(2\/107)\/(t**16*t**3) assuming t is positive.\nAnswer: t**(-2003\/107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 24.60986 rounded to one decimal place?\nAnswer: 24.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -7\/41  (b) 0  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17367*v - 8422*v - 8948*v + 4.\nAnswer: -3*v + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = 7*n - 8406. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4.48 + -4.68. Let t(d) = 5*d**3 - d**2 + 1. Let g be t(-1). What is the nearest to m in -0.5, g, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*y - 5*y + y)*(-6 + 4 + 0 + (2 - 3 - 3)*(-7 + 3 + 3) + 1 + 2 - 2) + (5 - 7 - 4)*(1 - 1 + 1)*(-20*y + 26*y + 28*y).\nAnswer: -207*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (0 + 1)\/2 + (-1233)\/(-822). Solve 0 = -p*t - 96 + 92 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + 3 - (-44 + -15 + 75)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h, 2 v, and 1 j when four letters picked without replacement from {j: 1, v: 3, h: 3, l: 2, d: 1}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 47 + -26. Let y = -14 + h. Let j = 13 - y. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-17)\/34*104\/70 and -23\/40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t**2 - 10*t - 22. Suppose 6*h - 11*h = -60. Let b be n(h). Solve b*w + 5*j + 2 = 0, -3*w = w + 2*j + 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/(-1)*(23 - 690) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9107242 millilitres to litres.\nAnswer: 0.0009107242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -32420 + 232042?\nAnswer: 144122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -51*j**2*r**3 + 14*j**2*r + 4*j**2 + 136*j*r**3 - 169*r wrt j?\nAnswer: -102*r**3 + 28*r + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -365 + 396.7. Let f = 3.3 + l. Let m = f + -33.34. Round m to one dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*f**2 + 346*f**2 + 301*f**2 + 43*f**2 - 72*f**2.\nAnswer: 612*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m**(-3\/2)*m*m**(-5))**30)**(-46))**23 assuming m is positive.\nAnswer: m**174570","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1569412671 and 0.2256?\nAnswer: 1569412671.2256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in three tenths of a microsecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 692 - 690.874. Let n = -0.006 + o. Let r = 0.12 - n. Sort r, 1, -1\/6.\nAnswer: r, -1\/6, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3102 - -1?\nAnswer: 3103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -2\/19844781?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 27837256 to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/15 in -4, 1, 7, -14, -56?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i\/(i**(-10)*i))**(2\/7))**(2\/5))**(19\/4) assuming i is positive.\nAnswer: i**(38\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -158, -117, -56, 19, 102, 187?\n\"Answer: -t**3 + 16*t**2 - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - -1) + -2 + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 times -39.315?\nAnswer: -196.575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.009 and -154165.\nAnswer: -154164.991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 5c (base 14) in base 13?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17 divided by -4121750.\nAnswer: 17\/4121750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 42.918 * -0.27947\nAnswer: -11.99429346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -730 * 0.042.\nAnswer: -30.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4443*v*w**2 + 3*v + 411*w wrt w.\nAnswer: -8886*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -49 + 151. Suppose 0 = -8*s + 50 + c. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 9*n + 3726. What is the thousands digit of h(-99)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -201 greater than -201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 2*f**2 + f + 1. Let u(b) = -b**2 + 6*b - 4. Let k be u(6). Calculate the remainder when j(k) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0 and -797266482.\nAnswer: -797266482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t\/(t**(-23)\/t)*t*(t*t**7)\/t*(t**(1\/28)\/t)\/t*(t\/((t\/(t*t**(8\/9)\/t*t))\/t))\/t assuming t is positive.\nAnswer: t**(8297\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55 = 22*p - 33. Solve -c + 3*j + 14 = p, -7 = 2*c + 3*j for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 469021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 7342782 to the power of 1\/2, to the nearest integer?\nAnswer: 2710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 3 + 0 + (0 - 1 + 0)*(-5 + 5 - 1))*(-15 + 15 - 7*q).\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000009762074 to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 minutes before 4:21 AM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 69982201459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/70 and 73\/42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -11011110111000000011 (base 2) to base 16\nAnswer: -dee03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 95 + -32. Let h be (4\/14)\/(9\/t). Let q = -2 + 2. Solve h*w - 4 = -q*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 92 and 46?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 139368 divided by -3.\nAnswer: -46456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -36 + 28. Calculate the common denominator of ((12\/a)\/(-3))\/4 and -75\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -38 or -1376?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-24)\/(-50)*(-15)\/42)\/(1\/(-7)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -z**2 - 3*z + 4. Let s be y(-4). Suppose s = -2*r + 4. Solve 0 = -b - 3*d - 8, d = -b + 4*d - r for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (12 + 11 + 14*t - 25)*((-t + t - t)*(1 + 0 - 3) - 2 + 2 - 3*t - t + 2*t + t + 0 + 0 - 2*t) as b*t**2 + q*t + p and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.7?  (a) 1\/2  (b) 0  (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -53, -2471 in increasing order.\nAnswer: -2471, -53, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - 7) + -163 + 140.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(171)\/sqrt(9) + 0 + 1.\nAnswer: 1 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -22, -2, -3, 54970, 3, 2 in ascending order.\nAnswer: -22, -3, -2, 2, 3, 54970","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -19*i**2 - 33. Let n(t) = 9*t**2 + 16. Let j(u) = -2*f(u) - 5*n(u). Let l(h) = 2*h**2 + 5. What is 5*j(w) + 14*l(w)?\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**15*t**(-3\/13))\/(t**(-2\/5)\/t)**(-36) assuming t is positive.\nAnswer: t**(-2316\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2031 - -1257?\nAnswer: -663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 6*v**3 - v - 1. Let q be m(-1). What is the common denominator of (58\/10)\/(66\/15) and (-760)\/12*q\/(-88)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -126 - -136. Sort 2, w, -1, -2 in descending order.\nAnswer: w, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -117645112.36729936 - -117644358.01. Let i = b + 758.3573. Let a = 4 - i. Round a to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -13*c**2 + 3*c. Let i be n(2). Let o = -25 - i. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 7*o**3 - 3*o**2 + 17*o + 31. Let t(a) = -3*a**3 + a**2 - 9*a - 15. Let h(c) = -4*m(c) - 9*t(c). Is h(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2.4  (b) -1  (c) -4  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2, 0.1, 0.06, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16394 + 9126 - 1983 = -1271*y - 6967 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = 3*i - 990. Let x = -183 + i. Solve 3*r + x = -3*d, 0*r + r - d = 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:59 AM and 6:34 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 56693207.4 minus -31?\nAnswer: 56693238.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 57*p + 3508 = 3451 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10246*h + 10279*h + 10247*h - 41021*h + 10233*h.\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 113\/20 and -103\/260.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 702566.\nAnswer: 2, 89, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*j = -47 - 40. Calculate the highest common factor of 3 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 1. Let q(p) = -191*p + 5. What is -q(j) + 4*s(j)?\nAnswer: 191*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the first derivative of 2*n**3\/3 - 7*n**2 - 5*n - 15. Let d be c(7). Put d, -2, 6 in descending order.\nAnswer: 6, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 27 - 19. Let q(j) = -14*j + 22. Let d(k) = -5*k + 7. Let u(o) = -17*d(o) + 6*q(o). What is the remainder when u(9) is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -135 or -132?\nAnswer: -132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 180457, 722415, 1625679, 2890249, 4516125, 6503307?\n\"Answer: 180653*b**2 - b - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1265592 + 1265644. Let u = 22 - -34. Which is greater: u or k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = i - 1839, 0 = 5*x - 7*i + 5*i - 1857. What is the greatest common divisor of x and 779?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -30 - -30. Suppose 3*d + 2 + 10 = p. Let v = 1.1 + -1. Which is the closest to v?  (a) 3\/5  (b) -2  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 786143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b\/(b*b*b**(-35))))\/(b\/(b\/b**(24\/5))) assuming b is positive.\nAnswer: b**(-189\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = -12 - 0. Suppose 0 = -2*m - m + 6. What is the second smallest value in m, k, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (95\/((-665)\/16))\/((-4)\/(-14))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(1*(sqrt(21)*2 + sqrt(21) + sqrt(21)) + sqrt(21)))\/(sqrt(84)\/sqrt(192) - (6*-2*sqrt(7) + sqrt(7))) + -1.\nAnswer: -8*sqrt(3)\/3 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + 0 - -3 - (-8 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11594 divided by -31.\nAnswer: -374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -2*v - 8. Determine a(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.1 times -5640?\nAnswer: 11844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 43*b**3*f**4 + 13899*b**3*f + 218375*b*f**4 + 1388*b*f wrt f?\nAnswer: 516*b**3*f**2 + 2620500*b*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 2*k - 1. Let w(g) = g**3 + 6*g**2 + 4*g + 23. Let v be w(-6). Give f(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20952 divided by -6.\nAnswer: 3492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -47\/3136 and -73\/84.\nAnswer: 9408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 29 - (-2 + 0 + 0 + (-32 - -19) + 14).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 432112091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (8\/104)\/(13\/169)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 17 in -9, 1.5, -4\/65?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 148002*a**3*k**3 - 2*a**3*k + 142239*a**3 wrt k?\nAnswer: 888012*a**3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31*d + 41 + 39*d**3 + 90*d - 1 + 38.\nAnswer: 39*d**3 + 59*d + 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) be the second derivative of 4*t**6 + t**2\/2 + t - 12. Find the first derivative of l(i) wrt i.\nAnswer: 480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -73 - -28\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26048.\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -365, -0.4, 1\/8, -5, 2198?\nAnswer: 2198","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 600 divided by -200?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 48*s - 1. Let x(u) = -3*u**2. Determine x(i(r)).\nAnswer: -6912*r**2 + 288*r - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 197 is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 12 - 22. Let y = 10 + v. What is the closest to y in -2\/11, 2\/3, -3\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.048 - 0.142. Let y = 21.81 - u. Which is the closest to -2?  (a) 4  (b) -1\/4  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -64498605.48 rounded to the nearest 1000000?\nAnswer: -64000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1536*u - 149*u + 139095 = 1409*u - 565*u for u.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -34\/36765 and 199\/367650.\nAnswer: 367650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*p + 154*p = 25164581 + 45117989. What is p rounded to the nearest 10000?\nAnswer: 510000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 511?\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -w**2 - 2*w + 2. Let m(u) = 2*u**2 + 8*u - 7. Let k(r) = m(r) + p(r). Let z(v) = v**2 + 12*v - 9. What is -5*k(d) + 3*z(d)?\nAnswer: -2*d**2 + 6*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*h - h - 2*h)*(1 - 623*h - 623*h + 1240*h)*(0 - 3 + 4).\nAnswer: -6*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4800 and 98136.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -33525, -67153, -100879, -134703, -168625, -202645, -236763?\n\"Answer: -49*n**2 - 33481*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4 + 1. Let j = o + -6. Let n = -2 - -2. Which is the smallest value?  (a) 2\/17  (b) n  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 405186\/66 + (-1 - (-9)\/11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.7 + -1.69999995. What is x rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 20031 - 12032. Does 19 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 57732 and 54672?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = -2*f + 16. Let u = -76 + 84. What is the lowest common multiple of f and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 26, 127, 306, 569, 922, 1371?\nAnswer: 1922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 74787, 150181, 225575, 300969, 376363, 451757?\n\"Answer: 75394*p - 607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/7925 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l. Let g(q) be the third derivative of q**6\/120 - q**5\/60 - q**4\/8 - q**3\/6 + 6*q**2. What is -3*d(a) - g(a)?\nAnswer: -a**3 + a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 655 minutes after 3:55 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -48 - -32 - ((-1 - 2) + 8).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1 - 2. Let o be 5\/(15\/(-9))*n. Suppose 5 = -5*z - 5, 0 = o*k + 3*z + 18. Let y(j) = j - 5. Give y(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i**3 - 5*i**2 - 2*i + 10. Let l be h(8). Suppose -l = 4*w - 1178. Suppose -k + w = 50. What are the prime factors of k?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8813577 to the power of 1\/3, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -10*b**2 + 185*b + 926. Determine u(-5).\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(66) - 2*-3*sqrt(66) - sqrt(66))\/(sqrt(486)*2 - sqrt(486)).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (0 + -3 - 3*(-374)\/462)*2961\/(-108)\nAnswer: 47\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 77 is divided by (120\/(-28))\/(3\/(-14))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7011.4 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -72*u**4 + 30403*u**5 + 292*u**3 - u - 30399*u**5 + u + 32*u**3 = 0.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5155498, -5155493, -5155488, -5155483, -5155478?\nAnswer: -5155473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -501059\/25 >= -20043?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -11067 (base 10) in base 12?\nAnswer: -64a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.206 + 0.146. Is 4 >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i, 1 s, and 2 y when four letters picked without replacement from yysiiiiynyinssnniiii.\nAnswer: 54\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 57 - 24. Suppose 8*j = m + 119. Calculate the highest common factor of j and 190.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-20)\/(-2)*6\/12. Suppose -14380 = -n*g + g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 40001.31 seconds to days.\nAnswer: 0.462978125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-1\/11)*y**(-7)\/y)**(1\/23)*(y*y\/(y*y\/(y\/(y**(-3\/5)\/y)))*y)\/(y*((y\/y**(-3))\/y)\/y)*(y\/(y**(-4)\/y))\/y**(-7) assuming y is positive.\nAnswer: y**(16759\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.15  (b) -4  (c) -0.2  (d) -9  (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 - ((15 - 8) + -5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 44 - 40.4. Let m = i + -4. Suppose -5*p - 20 = -s, 3*s + 3*p + 2*p = 0. Which is the biggest value?  (a) -1\/3  (b) s  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1406251 is divided by 121?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -17.3536978 to 0 decimal places.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 156 + -157.13. Let j = 0.13 + k. What is the second smallest value in 1, -5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 19*i**2 - 17*i**3 - 24*i**3 - 27*i**2 + 9*i**2 + i + 1 + 0*i + i**4 to the form x + y*i + c*i**3 + a*i**2 + w*i**4 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of (13 - 5)*215 + (-35)\/7 and 21.\nAnswer: 5145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-84)\/(-32) - 31331\/5432)*(44\/(-1) + 2).\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -8290 divided by -2\nAnswer: 4145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out 12111546 * 0.09.\nAnswer: 1090039.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1 - 511?\nAnswer: -512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 38276774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -119430000 to the nearest one million.\nAnswer: -119000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*w = 59*w - 20*w - 9675. What is the remainder when 44888 is divided by w?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2.13 - 0.13. Let g = -1.27 - 0.13. Let k = g + 1. Which is the closest to 1?  (a) w  (b) k  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - ((5 - -1) + 20 + -26).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.0578209 and -267175?\nAnswer: 267175.0578209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -3278*a + 386891. What is x(118)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2259\/13 + 174. Let m be 9\/3 + (-544)\/187. What is the nearest to 1\/2 in -4, m, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + l + (1 - 1 + 2*l)*(3 - 1 - 4) - 4*l + 2*l + l + l + 3*l - 3*l)*(l - 2*l - l).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b\/(b*b**(-7))))\/b**(2\/5)*b**5*b*b**2 assuming b is positive.\nAnswer: b**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -32 + -14 + 66 + (6 + -10 - (-2 - -1))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 65909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 195 = -8*m - 3*d, -1 = -d. Suppose 21*j = 5*j + m. Solve -4*u + 3*a + 23 = 0, 3*u - j*a - 11 = 5*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - c - 5187 = 0, -3873 = 4*j - 7*j - 5*c. 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 second derivative of -2075*n**3*y**2 - 2*n**3 - 2*n**2*y**2 - 2*n*y**2 - 361*y wrt y?\nAnswer: -4150*n**3 - 4*n**2 - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20 + 0*h**2 + h**2 + h**2.\nAnswer: 2*h**2 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 13) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.3*-2274\nAnswer: 682.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16852 divided by 22.\nAnswer: -766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 636*u - 43 + 1285*u + 43.\nAnswer: 1921*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3405 + 6807 + 324*b**2 - 3402 to the form u*b + g*b**2 + x and give g.\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 0, 0.4, 4, 2\/7, -6105?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = -3*u + 51, 2*u - 17 = u - 4*m. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 190278?\nAnswer: 2, 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2 and 327718?\nAnswer: 655436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*a**2 + 4*a**2 - 4*a**2)*(-4*a**3 + 4*a**3 + 4*a**3) + 1 - 4*a**3 + 0*a**5 + 0 - a**5.\nAnswer: 7*a**5 - 4*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the third derivative of j**6\/120 - j**5\/4 + 2*j**4\/3 - 3*j**3\/2 + 4*j**2. Does 5 divide v(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -2*a**3 + a**2 + 3*a + 2. Calculate i(3).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 3*j**2 + 15*j + 4. Calculate the remainder when s(-7) is divided by (-120)\/(-25)*105\/28.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wtii when four letters picked without replacement from {p: 4, v: 1, w: 6, i: 2, t: 4}.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -75260*r**5 + 185*r + 574.\nAnswer: -1505200*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5 + -3. Suppose -4*l + 3*v - 850553 = 949453, -4*l - d*v = 1799996. Round l to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = 10*h - 16 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t**3 - 8*t**2 - 11*t - 3. What is d(9)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100 - 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 2 + -2 + (-22 - -15)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 e when two letters picked without replacement from szzzzezezyeezzz?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/(x\/x**(2\/19)))\/x)\/(x*x**(3\/23)*x)*x**(-1\/43)*x**41 assuming x is positive.\nAnswer: x**(713148\/18791)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -g**3 - g**2 + 2. Let c be n(-2). Let j(m) = 2*m - 2*m + 2 - c*m. List the prime factors of j(-6).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -11\/104 and -77\/76976?\nAnswer: 1000688","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: What is 75 divided by -75?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*f - f + 4*f)*(0*f - 5*f + 4*f) + 5*f**2 - f**2 - 2*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 71 minutes after 6:24 AM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**8*(h\/((h**(1\/4)\/h*h)\/h))\/h)**(3\/4)*(h**(-3)\/h*h*h**5)\/(h*h*h\/h**(-2\/7)*h)**(-5\/7) assuming h is positive.\nAnswer: h**(9113\/784)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 62349615?\nAnswer: 3, 5, 193, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**5\/5 - 6*n**4\/5 + 7*n**3\/5.\nAnswer: -n**3*(n - 1)*(n + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -14.2 + 28. Let p = -13.7 + q. Let h = -0.3 - -0.26. What is the third smallest value in h, 5, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22 = -37*o + 48*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -1.2, -5, 2\/179, 1, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*k**4\/5 - 32*k**3 - 444*k**2\/5.\nAnswer: -4*k**2*(k + 3)*(k + 37)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -13*c**3 - 12*c**2 + 153*c + 9. Let f(b) = 13*b**3 + 8*b**2 - 153*b - 6. Give 3*f(x) + 2*h(x).\nAnswer: 13*x**3 - 153*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a - v - 2*v = 15, 4*a - 3*v = 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 4*x = 13, -4*o = -x - 2*x + 24. Let p(a) = a**2 - 3*a + 1. Calculate the remainder when 4\/6 - 166\/(-3) is divided by p(o).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 + 10. Let a(f) be the second derivative of f**5\/10 + f**4\/4 - 2*f**3\/3 + 3*f**2\/2 + 4*f. What is the smallest common multiple of a(2) and m?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = s - 33, 2*f - 5*f + 9 = 0. Is 18\/s + 1474\/8 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 2*b**2 - 31*b + 17. Let f be t(15). Solve -3*z = 3*n - 6, 3*z + n - f = -2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -50181 + 72519. List the prime factors of d.\nAnswer: 2, 3, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x + 5*x = 10. Let s be (-2 - 275\/x)*-2. Suppose 3*q = 2*w + 261, 5*w - w - s = -3*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) be the second derivative of 0 + 2*r - 3\/2*r**2 - 1\/6*r**3. Let q be i(-7). Solve 0 = -3*y - q*n + 16, -y - 4*n + 23 = 7 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:52 PM and 2:36 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 123\/(-9348)*-589*4\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5.954 - 0.146. Let g = k - -6. What is the closest to g in -2\/15, -1, 2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1379 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put together -7648.7577 and 70977.\nAnswer: 63328.2423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (-19)\/4275*-125 + 728\/180\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5.32 + 10.32. What is the third smallest value in 3, -1\/6, v, 2\/23?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 * 0.013485\nAnswer: -0.013485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -247513 (base 10) in base 7?\nAnswer: -2050420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 98.7 - 98.7. Which is the nearest to 6?  (a) w  (b) -0.4  (c) -10\/3  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 6) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put together 3.18 and -157916242666.\nAnswer: -157916242662.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*d - d + 0*d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q**3 - 24*q**2 - 33*q + 74. Calculate s(25).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v - 2. Let m(n) = -n - 8. Let k be m(-11). Suppose -2*z = -r - 7, z + z + 21 = -k*r. List the prime factors of o(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f + 4*u - 4292 + 4323 = 0, -u = 4 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*z - 798 = -9*z. Let s(g) = 2*g - 7. Let j be s(6). Suppose 2*a + z = j*n + 3*a, -a - 4 = 0. Does 27 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 106307904?\nAnswer: 2, 3, 553687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/6, 10\/33, -27, -3\/10, -5?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 7*y**2 - 7*y - 1. Suppose 5*w = w - 20. Let z be 17\/(-102)*6*-4. Let u(x) = -8*x**2 + 2*x**2 + 1 - z*x + 10*x + 0. Determine w*u(l) - 4*n(l).\nAnswer: 2*l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -75 + 401. Does 74 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1795, 3795, 5795, 7795, 9795?\nAnswer: 11795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-6)\/4*16\/(-36). Let n be 125\/420*(-366)\/(-15). Let g = n - 47\/6. Put h, 4, g in descending order.\nAnswer: 4, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10021400 (base 6) in base 5?\nAnswer: -33023023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-2)*h)**22*(h*h*(h\/(h\/h**(-2)))\/h)**(-2\/37) assuming h is positive.\nAnswer: h**(-812\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 12 + 28 - x**2 + 15 + x - 15. Calculate the lowest common multiple of f(0) and ((-30)\/(-8) - 0) + 6\/24.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1219026 a multiple of 274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -9518 bigger than -9521?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 11, s: 1, w: 2, n: 1}. What is prob of sequence wf?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the second derivative of 107*q**6\/15 + q**3\/6 + 67*q**2 + 71*q + 2. What is the derivative of b(m) wrt m?\nAnswer: 856*m**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -w**3 - 23*w**2 + 77*w - 24. Suppose 0 = -3*u + 14 - 92. Let f be v(u). Solve 0 = 3*i + f*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*((sqrt(143) - (sqrt(143) + -2*sqrt(143))) + sqrt(143)) - 1*sqrt(143)*3)\/(sqrt(11)*1*-6*-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1401 divided by -12?\nAnswer: -467\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1134 and 181818?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l + 110 = 6*l for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (4\/(-2))\/(4*5\/(-110)). Suppose -m*w = -4*w + 2653. What is w rounded to the nearest ten?\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 2*u + 12 = -18, -3*x - 7 = u. Which is the biggest value?  (a) 0.3  (b) 0  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the third derivative of a**5\/12 + 25*a**2. Let t(u) = -46*u. Calculate b(t(f)).\nAnswer: 10580*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:13 PM and 2:03 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 104326 is divided by 17385?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*b**6 - 26*b**4 + 428*b**2?\nAnswer: 360*b**3 - 624*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t**2 - 6*t - 6. Let m be (1548\/860)\/(3\/(-5)). What is h(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = s + 9. Let g be y(2). Solve 0 = g*x + 4 + 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-2)\/4)\/(10\/(-1080))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 12*p**3 - 18*p**2 + 7*p - 2. Let d be n(1). Sort -587, 0, d in decreasing order.\nAnswer: 0, d, -587","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -19 + 9. Let t be (1 - 0) + (-892)\/g. Let o = -97 + t. Calculate the common denominator of o and -71\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3074 - 919125\/299. Let q = 3281\/2392 + f. Let w = 248\/9 + -943\/45. Calculate the common denominator of q and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (3\/(-6))\/(1\/(-12)). Suppose 4*z + j - 26 = 0. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10110 (base 2) in base 5?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -13*z. Let u(x) = 3*x. Let s = 12 - 3. Let k = 6 + -4. Determine k*n(c) + s*u(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that -2*k**5 - 9746*k**4\/3 - 3978724*k**3\/3 - 17065064*k**2\/3 - 866160*k + 3499200 = 0.\nAnswer: -810, -4, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in three fifths of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13*n - 345*n - 104*n to the form w + u*n and give u.\nAnswer: -462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 56\/10*(12\/30)\/((-8)\/100)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g + 17 = 11 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 24*a**2 - 1. Let m(r) = r**2 + 3*r + 4. Let h be m(-2). Suppose -h*y - 4 = -6*y. What are the prime factors of w(y)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - v**3 - 2 - 2)*(177*v**2 + 39 - 176*v**2 - 11).\nAnswer: -v**5 - 28*v**3 - 2*v**2 - 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i**(-16)*i)**(2\/3)*i*i\/(i**(-4)*i)*i**(3\/40) assuming i is positive.\nAnswer: i**(-511\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-14)\/(-4)*((-220)\/(-70) - 2). Let l be (6\/4)\/((-153)\/68). Which is the third smallest value?  (a) 13  (b) y  (c) l  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 55\/(34\/4 + -6). Calculate the highest common divisor of 473 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 173041 is divided by 57671.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 7, q: 2}. Give prob of sequence xqxx.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*4*sqrt(2430))\/(sqrt(1210)*1 + sqrt(1210) + sqrt(120)\/sqrt(192)).\nAnswer: -576*sqrt(3)\/89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -1 - ((-68)\/(-24) - 4). Which is bigger: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (54\/(-30)*5)\/(6\/(-16)). What is the greatest common divisor of 216 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 64473?\nAnswer: 3, 21491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3478*q + 3562*q + 756 = 0 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 120 and 17352.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 369156 is divided by 369094?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 254475\/(-1017175) + (-20)\/(-610).\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Are 6683986 and 6683991 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -54 - -94. What is the remainder when p is divided by 26?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 167 or 164?\nAnswer: 167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 110002 (base 3) to base 16\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*t + 106 + 98. Let x = -16 + t. List the prime factors of x.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 1 and 6\/35 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.015419323 to three decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (7 - 0) + (-14 - -13) - (16 - 3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 217*c - 216*c - q + 6 = 0, -4 = 3*c + 4*q for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 3, b: 11}. Give prob of sequence bbz.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -176051.4 times 0.03?\nAnswer: -5281.542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 12 in -3, -5, -0.5, 5, 40.05?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4454 - 2223 - 6*x - 2210.\nAnswer: -6*x + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 165 divide 27951495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6 - -12. Suppose 8*n - 11*n + 51 = 15*m, -5*m = 3*n - 21. Suppose 5*i - 31 = m*f, -5*i + 2*f = -7*i + v. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 682, 1368, 2052, 2734, 3414, 4092, 4768?\n\"Answer: -b**2 + 689*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 45374956.\nAnswer: 2, 11, 109, 9461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.3 + 0.1. Let c be (1\/(-2))\/(2\/(-12)). Let x = -4.4 + 0.4. What is the smallest value in c, x, s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -35 + 37. Suppose 0 = -5*j - 4*f + 2*f + 34, 0 = -5*j + q*f + 26. Suppose w = 4*w - j. Solve 4*d = w*c - 14, 0 = c + 3*c + 2*d + 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -103, -1015, -3509, -8383, -16435, -28463, -45265, -67639?\nAnswer: -96383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4\/7, 2\/13, 6, 33?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*y**2 - 438*y - 61776.\nAnswer: 3*(y - 234)*(y + 88)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5343218 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 21565409 times -0.7?\nAnswer: -15095786.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -167\/2652 and -32\/143?\nAnswer: 29172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eeteteeetee. Give prob of picking 2 e.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2.8 - -2.7. Let x = -203\/2 - -401\/4. Which is the nearest to 0.1?  (a) x  (b) 4  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**0)**(-2\/39))**(-42\/11)\/((o**(-1\/2))**50)**(-25) assuming o is positive.\nAnswer: o**(-625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 u when two letters picked without replacement from {d: 2, l: 5, k: 1, u: 2, b: 2, f: 1}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((276\/552)\/(2\/(-44)))\/(3\/((-9)\/5)).\nAnswer: 33\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) be the third derivative of d**5\/15 - 2*d**3\/3 + d**2. Determine l, given that o(l) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -163549 (base 11) to base 5.\nAnswer: -31103143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 171300 is divided by 85648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 13 - 8. Suppose n = -2*d - 1. Do -4 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 166, 679, 1528, 2707, 4210, 6031, 8164?\n\"Answer: -o**3 + 174*o**2 - 2*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 327\/7 - 1301\/28. Which is the smallest value?  (a) 0.8  (b) 1\/2  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = d**3 + 9*d**2 + 9*d + 25. Let j be y(-6). Solve -9*q = j - 34 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 22488 and 17256?\nAnswer: 16168872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1039569 at least 1039569?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -i + 9. Suppose 4*u + 5 = i*q, 4*u + 5*q - 5 = -u. Is (-3 + u)\/((-2)\/10) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 5*v + 1505 = 0, -v = 4*k - 1532 + 313. Calculate the remainder when k is divided by 105.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3a5a6 + -2?\nAnswer: -3a5a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.0323 - -3.0323. What is the nearest to -4 in w, 1.3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4252 + 4118.59. Round j to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 13883\/7 + -1988. Let j = 4768934822\/8305 - 2871127\/5. Let b = j - -6\/151. Calculate the common denominator of b and x.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 340973?\nAnswer: 349, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 38184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/14 + (-7)\/((-49)\/698) + (-2197 - -2212)?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/6?  (a) -1.1  (b) -5  (c) 5  (d) -109\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 1127*c**2 - 449 + 4742*c**2 + 446 as k*c + b*c**2 + u and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-4) + 4\/8 + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-10))\/(6\/15)*-4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -68, -508349 in increasing order.\nAnswer: -508349, -68, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-2 + 2 + (sqrt(49) + -1*sqrt(2401))\/sqrt(7)).\nAnswer: -36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 264 and 5192?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2335\/42 + 783\/14. Let g = -7 - -4. Let b = 19 + -19.1. What is the closest to f in b, 0.1, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -23\/2 - -12. Let y = -0.529 + 0.029. Put y, g, 5 in increasing order.\nAnswer: y, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 23*t + 64. Suppose -59*s + 3*b + 15 = -62*s, 5*s + 19 = -2*b. What is p(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 30 (base 4) in base 7?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 13, s: 5, e: 2}. Give prob of picking 1 s and 2 e.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that 5*u**2\/6 + u + 1\/6 = 0.\nAnswer: -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 223 a factor of 1441162332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(336)\/sqrt(7)*4)\/((sqrt(294) + -2*sqrt(294))*1).\nAnswer: -8*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -28 + 30. Let l be (5\/m)\/(12\/24). Suppose -3*p - 14 = -l. What is the third biggest value in p, 1\/5, -0.1, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u**3 - 6*u**2 - 14*u - 13. Determine f(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:07 AM and 12:34 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 168541 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 55730361191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k = 5*t + 15, -k + 5 = -6*k for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 147 + -67. Let n be (-24)\/f*(-2)\/3. Factor -3\/5*g**3 + 0 + n*g**4 + 4\/5*g + 0*g**2.\nAnswer: g*(g - 2)**2*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -705 and -0.31.\nAnswer: -705.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45 is divided by 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the first derivative of 3*s**2 - 5*s - 1\/4*s**4 - 12 + 1\/2*s**3. Let h(o) be the first derivative of t(o). Factor h(i).\nAnswer: -3*(i - 2)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-37)\/370*(-10)\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (3 - 3)\/(6 - 9)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 1  (b) -57166  (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 2*x + 10. Let y be i(-8). Let h = -87 - -85. Put h, y, 4 in descending order.\nAnswer: 4, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (520905\/(-24915) + 21)\/(11 - -3)\nAnswer: 1\/151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -75*g**3 - 21786 + 21786.\nAnswer: -75*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -19.41 and 55675.\nAnswer: -1080651.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -197 - -192. Put -1, 5\/2, -3, y in decreasing order.\nAnswer: 5\/2, -1, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 42538839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -937*p**3 - 64*p**3 + 0 + 0.\nAnswer: -1001*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Do 402\/89 and 4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 987*p**2 + 5. Let f(y) = 4*y**2. Determine -11*f(b) - x(b).\nAnswer: -1031*b**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s**2 - 7*s. Give w(9).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1.7, 0.136661, -0.06 in decreasing order.\nAnswer: 0.136661, -0.06, -1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -k**3 - 2*k**2 - k - 1. Determine l(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 5) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6.3 + -297110075820.\nAnswer: -297110075813.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 4*n + 4 + 4 = 0, 3 = n. Let k(u) = -3*u - 3. Let l(c) = 1. Suppose -4*s = y - 0*y - 9, -2*s + 27 = 5*y. Determine s*k(m) + t*l(m).\nAnswer: -3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2 - -2)\/(-11 - -12). Factor 2\/9 + k*j**3 + 0*j - 4\/9*j**2 + 2\/9*j**4.\nAnswer: 2*(j - 1)**2*(j + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 32fea + 5?\nAnswer: 32fef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = o**3 + 4*o**2 - 2. Suppose 2*v = 3*h - 3*v - 51, h + 6*v - 17 = 0. Calculate the remainder when z(4) is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 8 in 8, 1\/3, 23?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = -2*s + 10, 3*s = 5*k - 5 + 1. Let j(x) = 3*x**k - x**2 + x**2. Let w(r) be the third derivative of -r**5\/20 + 27*r**2. Determine j(w(d)).\nAnswer: 27*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is x in x**3\/5 - 8*x**2 + 336*x\/5 = 0?\nAnswer: 0, 12, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 261.2136 or 1\/5?\nAnswer: 261.2136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -2, -1428, -36, 169 in increasing order.\nAnswer: -1428, -36, -4, -2, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5308\/6635*5\/(-56) - 3\/(2394\/69).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q**3 + 5*q**2 - 2*q + 2. Let a be l(4). Suppose 74 = 4*r - 2*t, -4*t = r - a - 22. Let f = 22 - 12. Calculate the least common multiple of r and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(2\/3))**(-50)*(v*((v**(2\/3)\/v)\/v)\/v)\/v*v*v**(-2\/7) assuming v is positive.\nAnswer: v**(-734\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-42)\/(-49)*(-3)\/6\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 102490249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -p - 5. Let o be k(-5). Suppose -5 = -n - 2*h, -124*n + 128*n + 6 = 5*h. Solve a + n = -o for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4\/(-1)*2\/(-2). Suppose -4*t - 5*f = 33 + 48, 5*t + g*f + 90 = 0. Let i = t - -10. What is the closest to 1 in 3, i, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 24234471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 53\/5 of a century?\nAnswer: 106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 10562 - 3313. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that 2*q**5 + 168912*q**4 + 2195644*q**3 + 10640088*q**2 + 22799826*q + 18239688 = 0.\nAnswer: -84443, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the second derivative of -b**7\/7 - 2*b**4\/3 - 6*b. What is the third derivative of t(p) wrt p?\nAnswer: -360*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 39\/2 in -1\/8, -0.3, 30, 6\/11, 2\/19?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4219, 4228, 4251, 4294, 4363, 4464, 4603?\nAnswer: 4786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.395533g to kilograms.\nAnswer: 0.003395533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) -0.485  (b) 5  (c) -187\/5  (d) 11  (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 719 minutes before 8:08 AM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 17 from -7.84.\nAnswer: -24.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4890\/36 - (22 + -2)\/(-120). Calculate the highest common factor of a and 31144.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 17*q**6 - 205*q**5 + 205*q**5 - 15*q**2 wrt q.\nAnswer: 2040*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 2.8, 3\/2, 4, 5, 1, -4, -6731?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6912.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-505)\/(-404) - (-93)\/12?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (-2 - -4) + (2 - (3 + -5)) + 22694?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2192446 is divided by 4368.\nAnswer: 4078","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 210 = -2*p, f + 2*f = 5*p - 525. List the prime factors of p.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8711 is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -17*2\/(-8) - (0 + 5). What is the nearest to -2\/13 in g, -0.08, -3, 2\/3?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -934, -7701, -26104, -61969, -121122, -209389?\nAnswer: -332596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 73673 or 77214?\nAnswer: 73673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1956, -2069, -2182, -2295, -2408?\nAnswer: -2521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 101 = 5*c + 2*u, 3*c + u + 86 = 7*c. Suppose 285 - c = -3*m. Let a = -78 - m. Solve -5*o - 26 = -2*g - a, 2*o + 13 = 3*g for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 215 and 946.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (210\/490)\/(-2*2\/(-28)). Suppose 2*u = -2*n + 78, l*n + 0*n + 2*u - 113 = 0. Solve -5*s - 10 + n = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7285051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15 + (7 - ((-2 - 8) + 7) - 8).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-9 - -3) + (6 - -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 97658, 195309, 292960, 390611, 488262, 585913?\nAnswer: 683564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 28*w + 39*w - 28*w to the form c*w + q and give c.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -42500 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:47 AM and 3:58 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 474969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 62984921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 60643750801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3\/7, 0, 5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = p**3 + 2*p**2 - 5*p + 3. Let w be a(-3). Let m = 13 - w. Suppose -3*v = 11 + m. Let t(k) = k**2 + 4*k + 3. Calculate t(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2214 + 9a83?\nAnswer: 786d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 13) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -2*k**2 - 163 + 3*k**2 - 8*k + 168. Calculate g(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8769 + -8884.82. Let a = c - -127.682. Let p = 12 - a. What is p rounded to 2 dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*q - 13 = 3*q - 43 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -8, -48, -122, -236, -396, -608, -878, -1212?\n\"Answer: -r**3 - 11*r**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25\/3*u**2 + 65\/3*u + 10 = 0. Calculate u.\nAnswer: -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from xwxwwwwxaxwww?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in x**3 - 563*x + 563*x.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 4320 (base 11) to base 15\nAnswer: 1a59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -27876 (base 14) to base 8.\nAnswer: -276660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -2*x**3 - x**2 + 2. Let r be g(-2). Let c = r + -9. Suppose f = -c*m, 0*m = 4*f + m. Solve 3*a + b + 3*b - 3 = f, a = b - 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-l**4 + 0*l**4 + 3*l**4)*(-1 + 1 + l) + 28 - 56 + 29 + 8*l**5 + (-2*l**2 - 3*l**2 + 3*l**2)*(5*l**3 - 5*l**3 - 2*l**3).\nAnswer: 14*l**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1397*u**2 + 2534*u**2 - 1136*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7 + -7. Suppose b = 4*p + p - 45. Is p a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - (-3 - (2 + -1 + 2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 663720 divided by 118?\nAnswer: 331860\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ayaaayaaaaaaynaa. Give prob of picking 1 n and 2 a.\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j**3 - j**2 - 3. Let p(v) = v**2 + 3*v - 7. Let u be p(-5). Let i be t(u). Solve -3*g - 2*g - i = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 77592 is divided by 463.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 29560944 times 0.03\nAnswer: 886828.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1 + -210233233133?\nAnswer: -210233233132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2 - (2 - (-1 + -1)). Let t = f + 2. Let i = 1 + -1. What is the closest to t in i, -1\/6, -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (12 + 6*o - 12)*(-2*o + 0*o + 5*o) - o**2 + 0*o**2 - 2*o**2 to the form k*o**2 + b + h*o and give k.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 2*g**3 + 5*g**2 - 8*g - 12. Give k(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1321040 (base 5) in base 6?\nAnswer: 322111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -144223\/43568 + -6\/2723. What is the common denominator of d and 83\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 230462765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 188 + -176. Calculate the highest common factor of 900 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1 + 3. Let b = -3.2 + 2.7. What is the second smallest value in i, b, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 209568151\/12 - 17453015. Let o = y + -11008. What is the common denominator of -29\/28 and o?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/5, -2, -1.\nAnswer: -2, -1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 146161 is divided by 9744.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-44)\/8*(-2)\/44. Let j(x) = 3*x + 5. Let v be j(-2). Let w = 0.99 + -1. What is the third smallest value in w, v, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.03 * -6234\nAnswer: -187.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mpmmpqmmmppmi. What is prob of sequence mpmq?\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3137059, 3137048, 3137015, 3136948, 3136835, 3136664, 3136423?\nAnswer: 3136100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -475.737 + 476. Round f to 2 decimal places.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is j in 1083\/8*j + 6859\/8 + 1\/8*j**3 + 57\/8*j**2 = 0?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6 + 6. Suppose t = -g + 3*g - 4. Solve b = -g*b - 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -24*x**3 - 2*x**5 - 257*x**2 - 329*x**2 - 35*x**3 - 31*x**3 + 187*x**2 wrt x?\nAnswer: -120*x**2 - 540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*z - 3*z - 4*z)*(-34*z + 165 - 86 - 77) in the form r*z + f + h*z**2 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 418?\nAnswer: 418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -49090*h + 588985. What is k(12)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -10 + 12. Suppose 4*x = -16 + 116. Solve 7 = 4*u + y, 0 = -g*y - 3*y - x for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 8163481 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 66\/(-9) - (-18)\/(-27)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*s = -167349 - 17472 + 46821. Calculate the highest common divisor of s and 1920.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.18778 rounded to 3 dps?\nAnswer: 0.188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 3*v = 9, 2*f - 4*f = -5*v + 15. Let u(l) = -l**2 - 28 - 565 - 607. Let i be u(f). What is i rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.2 and -0.0581.\nAnswer: -0.01162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 19*d - 11. Let i be v(1). Let p be (18\/6 - -2) + i. Solve b + 4*o - p = 0, 2*b + 3*b + 4*o - 17 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(-1 + sqrt(2299) + 1 + (sqrt(2299) + sqrt(2299) + 0 + 4 - sqrt(2299)))**2 - (5 + (-1*sqrt(2299)*3)**2*-4))*-2.\nAnswer: -73398 + 1760*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*g - 3*p - 12, -3*g - p + 0 = -4. Suppose -3*d + 58 = 2*k, -2*d - g*k = 3*k - 35. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.08 - 2.08. Let s = -2 - v. What is the second biggest value in -4, 2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(78) + sqrt(78))*-2)\/sqrt(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-6)*g\/(g\/((g\/((g\/(g\/(g\/g**(2\/7))))\/g))\/g)*g))\/(g\/(g*g\/(g**(-2)\/g)))**24*((g*g**4)\/g*g*(g\/g**1)\/g)**(-2\/97) assuming g is positive.\nAnswer: g**(60569\/679)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -556*j = -65789 + 90809 for j.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -63 plus -1944.2?\nAnswer: -2007.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -1309632*m + 4864. Let l(z) = 4846*z - 18. Let i(u) = -9*f(u) - 2432*l(u). Let t(b) = -2*b. What is i(t(s))?\nAnswer: -2432*s","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 343*w = -41*w + 111057 - 16977. Does 11 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 - 10 = -g. What is the units digit of g - 9 - 2*-2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8, -7, 48, 179, 392, 693?\nAnswer: 1088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the second derivative of -7*t**9\/216 + t**8\/30 - t**7\/105 - t**3\/6 - 2*t. Let k(l) be the second derivative of p(l). Factor k(o).\nAnswer: -2*o**3*(7*o - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*t**3 - 32*t**2 - 29164*t + 29192.\nAnswer: 4*(t - 89)*(t - 1)*(t + 82)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 5705*l - 131195. Give x(23).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, 5\/721, 5 in ascending order.\nAnswer: -0.3, 5\/721, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100111110110010101111 - -100?\nAnswer: 100111110110010110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**4\/3 - 38*x**3\/3 + 70*x**2 - 98*x\/3 - 1372\/3.\nAnswer: 2*(x - 7)**3*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -16 + 8 + (27 - 5).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 56*b - 816. What is the smallest common multiple of r(21) and 90?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.0742 - -0.235. Let u = c - 0.271. Let z = u + -0.044. Round z to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**2 + 13*s + 9. Let p be n(-12). Let y(g) = 2*g + 1. Let v(b) = -b - 1. Let d = -40 + 43. Suppose -d*x - 11 = -2. Give p*y(m) + x*v(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 a factor of 35473458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 2*t - 13. Let u be w(27). Let l = 49 + u. Calculate the greatest common factor of l and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -17, -71, -205, -455, -857, -1447?\n\"Answer: -6*u**3 - 4*u**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from maavassbabaammbb.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put together 115590.977051 and -1834.\nAnswer: 113756.977051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the second derivative of -4*l**5\/45 + 5*l**4\/27 - 2*l**3\/27 - 22*l. Factor d(z).\nAnswer: -4*z*(z - 1)*(4*z - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 24392873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/(3 + 11\/(-4)). Suppose t + j*t = 1115. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 8472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - -10) + -13 + 18 + -12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60 + 18 = -u. Let h = u - 42. Find the second derivative of 13*n**2 + h + 4*n - 19*n**2 + 0 wrt n.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x**3 - 5*x**2 + 8*x + 3. Suppose -3*s = s - 8. Let z(g) = g**3 + 6*g**2 - 7*g - 3. Let c(d) = s*n(d) + 3*z(d). Is 13 a factor of c(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0005893 to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*q + 4*q + 0*q + (-2 + 2 - 2)*(-2*q + 3*q + q))*(-2*q + 3*q**3 + q - 4*q**3) in the form s*q**2 + c*q**4 + u + v*q**3 + w*q and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -2\/5, 2\/11, 3\/2, -4, 1\/9, -0.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.65528 rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14081 + 37841 = -2162*p + 2602*p for p.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 150384?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1272 and 97128?\nAnswer: 5147784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, r: 8, g: 9, h: 2}. Give prob of sequence gx.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 2*l + 2. Calculate a(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 312881 - 5?\nAnswer: 312879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = s - 2*s. Let l = 15 + -7. Let v = s - l. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 151507\/10296 + -1606\/117. Find the common denominator of 21\/110 and j.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*h**2 - 11*h**2 - 405*h**3 + 20*h**3.\nAnswer: -385*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = -5*w + 3, -w - 5 = 3*p - 5*p. Let k = w - -9. Solve 2*l - 2 - 2 = 3*f, 5*f - 2*l + k = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -286180 - 107?\nAnswer: -286287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -1038*l + 13565. Determine h(11).\nAnswer: 2147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (265\/1855)\/((-1)\/3).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 8, b: 11, y: 1}. Give prob of picking 1 b and 1 s.\nAnswer: 44\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 270 minutes after 4:35 AM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 40327944 is divided by 2189?\nAnswer: 2186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/5  (b) -1\/4  (c) -0.05  (d) 1\/8  (e) -0.07  (f) -32\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 times 8.93034?\nAnswer: -35.72136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -190252308*m**2 - 143387939?\nAnswer: -380504616*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 7 - ((-12)\/(-3) - 2). Let q = -7 - -10. Solve u - q = 2*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (65\/(-2535)*-507 + (-2858)\/220)*-2?\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -v - 36. Let d be (-15)\/v + 6\/8. What is the third derivative of -c**2 + 2*c**d - 2*c**2 + c**5 wrt c?\nAnswer: 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 2*p + 1. Let h be (-6)\/(-3 + p\/(-1)). Are h and 6 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (4\/5)\/(2\/25). Suppose 6*l - 7*l - 27*l + 0*l = 0. Solve l = -4*p - 2*g - k, -p - 4*g = 4*p + 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 31995888*g**3 - 48154054 wrt g.\nAnswer: 95987664*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6518371 + 73781421 = 8*t. Suppose -9*s + t = 587474. Round s to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 2*k**3 - k**3 + k**2 - 14*k + 15*k + 0*k**2. Let n(u) = -u + 2. Let o be n(2). Let v be w(o). Which is the biggest value?  (a) v  (b) 2  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1378 + -917. What is the remainder when x is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -m**3*o**2 + 3980*m**3*o*v - m**3 + 63*m*o*v - 2*o**2*v - 38*v wrt m.\nAnswer: -6*m*o**2 + 23880*m*o*v - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 101683931, 101683932, 101683933, 101683934, 101683935?\nAnswer: 101683936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (((sqrt(180))**2 + -3 - (sqrt(385)\/sqrt(7) + sqrt(55))\/sqrt(11)) + (sqrt(405)*-2*-3 - ((sqrt(405) - (sqrt(405) + -1))*-3 - sqrt(405)))**2)*6.\nAnswer: 2256*sqrt(5) + 120190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/2241 in -1052, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -39, -122, -257, -444, -683, -974, -1317?\nAnswer: -1712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*o + o**3 - 6*o**4 + 5*o**4 - 6648 - 3*o**2 + 5*o**4 + 6636 to p*o**2 + g*o + y*o**4 + c + s*o**3 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (1 + 3)*(-4 + 42 - 14). Calculate the highest common divisor of v and 1104.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 711*l**2 + l - 1864. Let s(o) = 1431*o**2 + 2*o - 3732. Let z(j) = 13*q(j) - 6*s(j). Differentiate z(k) with respect to k.\nAnswer: 1314*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -29734, -29926, -30250, -30706?\n\"Answer: -66*y**2 + 6*y - 29674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -4*p**2 + 4*p + 13. Suppose v + 2 = -3. Let y(c) be the second derivative of 9\/2*c**2 + 0 - c + 1\/2*c**3 - 1\/4*c**4. Determine v*a(r) + 7*y(r).\nAnswer: -r**2 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mxnmfkxfxkxmksx. Give prob of picking 2 k and 1 m.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 26.6, 4\/5, -5, 3\/809?\nAnswer: 26.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 i when two letters picked without replacement from hwiwibk?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.81016 rounded to two decimal places?\nAnswer: -3.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 17, 41, 65?\n\"Answer: 24*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 621541917?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 123348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 883935 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9246 is divided by 627?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*x - 7560 = 10*x. Does 24 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-60)\/(-8))\/(2*(-15)\/(-40))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (2 - (-1 + -1))\/2. Let m be 0 + -4*2\/4. Let k be u*(-1)\/2*m. Solve -a - 3 = k*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a century in years?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5\/12 in -0.5, 3\/2, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + 2 - (2 + (-3 - -1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -296 - -301. Suppose -3*m + 5 = h*z - 2, -4*m + z = -17. Solve -4*o = -3*o - c - 1, m*o + c = 9 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2127 is divided by 416?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 23 - 1 - 5 - (-471 + 577)\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -34 + 36. Solve 15 = h + 5*p, -h + 3 = g*p - 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-18 + (-11 - -28))\/((-1)\/5). Suppose k + 57 = 3*i, 0 = 2*k - 2*i + 66 + 32. Let y = k - -85. What is the highest common factor of r and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwwwwww. Give prob of picking 2 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 130780 and 260.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 9, 2717 in increasing order.\nAnswer: 7, 9, 2717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 46\/9969705 and 133\/6646470.\nAnswer: 19939410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 4*p**2 - 4*p. Let j(n) = -24*n**2 + 24*n. Let x(w) = 6*j(w) + 34*r(w). Find the second derivative of x(c) wrt c.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = -25, 5*s = 4*i - 43 - 6. Let n be 3\/(i\/14) - 2. Suppose n*m - 11 = 4*l, -m - 3*l = -3*m + 3. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*l - 4*l - 2*l)*(-l + l + l**2) + 252*l**2 - 252*l**2 - 23*l**3 - l**3 + 4*l**3 - 2*l**3 + 3*l**3 - 2*l**3 - 2*l**3.\nAnswer: -24*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 - 3) + (-19 + (-10 - -10) - -11)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a**2. Suppose -3*p - p - 18 = -5*q, -4*p = 5*q - 2. Suppose -q*d - 10 = -7*d. Let y(v) = 3*v**2 + 4*v**d - 2*v**2. What is y(c(l))?\nAnswer: 5*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1817 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1288180 and 580.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/7  (b) -13\/2  (c) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l + 1. Let i(n) = -1. Let c be (6 - 4) + (1 - 2). Calculate c*m(k) + i(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3)\/39*((-1)\/(-1) - 3). Let u = 5 - 5.4. Let w = -0.5 - u. Which is the third smallest value?  (a) w  (b) 5  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*o + 0*o + 4*o**2 - 2*o**2 + o**2 + 0*o**2 + (o + 2*o - 5*o)*(-4*o + o + o) + 5*o**2 + 4 - 4 + (-3 + 7 - 3)*(0*o**2 - 3*o**2 + 2*o**2) - 5 + 5 + 3*o**2.\nAnswer: 14*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (150\/60)\/(21\/126).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -y**3 - 32*y**2 + 64*y - 130. Let u be p(-34). Let n(v) = 6*v - 29. What is n(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5725, -11446, -17167, -22888, -28609?\nAnswer: -34330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-13)\/(-7) - ((-110)\/35 + 3). Let u(m) = -9*m**2 + 3*m**y + 736*m + m**3 - 722*m + 1. What is the tens digit of u(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 409 - 405. Suppose 2*c - c = -2*x - 10, 0 = m*c - 5*x - 25. Solve 2*b - 7 + 17 = c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 1\/5  (b) 4  (c) -133  (d) 2\/155  (e) 0.3  (f) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 8.398062l?\nAnswer: 8398.062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3 - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 66.114 + -0.114. Let n = w - 43. Let q be ((-6)\/(-126))\/(34\/238). Is n equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 4*q = -0*q - 230, -3*o - 2*q = -238. Calculate the remainder when o is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22 = -d + 12*g - 10*g, 3*g = 5*d + 47 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 20 = -3*z. Let d(a) = -2*a - 6. Let w be d(z). Suppose -4*b + 4*y - 12 = -4, 5*y = w*b + 12. Solve 0 = -0*l - l + b for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*h**2 - 41*h**2 + h - 2*h**3 + 42*h**2 + 1 + 0*h to the form j*h**3 + m*h + u*h**2 + n and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5\/3 in 2\/41, 0.2, -0.4, 9153?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q - 12*q + 7 = -3*k - 4*q, q - 5 = 0 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + 20 = 5*x, 5*x = 9 + 11. Solve 0*y + 2*y = u for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 604, 553, 470, 343, 160, -91?\n\"Answer: -2*u**3 - 4*u**2 - 25*u + 635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*b - 89 = -113. Let l(i) be the second derivative of 8*i - 1\/20*i**5 + 1\/42*i**7 + 0*i**b - 1\/24*i**4 + 0 + 0*i**2 + 1\/60*i**6. Solve l(d) = 0 for d.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -42 - -44. Solve -3*r - 6 = 5*t, -5*t + 4*r = x + 25 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*m, 0 = -n - 2*n + 2*m + 15. Let d(q) = 10 - 4 - n - 5*q**2 - q**3 + 5*q. Give d(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 4*u**2 + 1. Let q(x) = -x**2 + 5*x + 2. Let d be q(5). Let l(n) = 582*n + 582*n - 1746*n + 582*n - n**2. Calculate d*t(m) + 9*l(m).\nAnswer: -m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*y = -23*y - 387. Suppose -5*b - 67 = 3*c, 47*c = -5*b + y*c - 71. Let k(h) = 3*h + 27. Calculate k(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5540034.32 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1304?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 3*k + 81. Let t be y(-26). Solve -t*p - 4 = 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -y - 11. Let p(g) = -g**2 - 219 + 106 + 113. Give b(p(w)).\nAnswer: w**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -47 - (-32 + (55 - 38)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 35700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16962 is divided by 124.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -296, -600, -904?\n\"Answer: -304*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-9 - (-105)\/14) + 770\/20. Let s be (-146)\/(-4) - (-1)\/2. Calculate the greatest common divisor of n and s.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 minutes before 10:23 PM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = o**2 - 4*o - 6. Calculate p(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2097111 to the power of 1\/2, to the nearest integer?\nAnswer: 1448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 9*k**5 - 2*k**5 - 3*k**5 + (-2*k**5 - 2*k**5 + 3*k**5)*(-5 + 0 + 4).\nAnswer: 5*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -5*v - 1. Let h be g(4). Let k be (-3)\/(-2) - h\/(-14). Solve -3\/2*r**2 + 3\/2*r**4 - 1\/2*r + k + r**5 - 1\/2*r**3 = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -t**2 - 6*t + 10. Let y be l(-7). Suppose 24 = y*g - 3. Is 9 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -54, -254, -586, -1050, -1646?\nAnswer: -2374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 37*w**2 - 55*w - 164. Let b(q) = 9*q**2 - 14*q - 37. Give 9*b(n) - 2*h(n).\nAnswer: 7*n**2 - 16*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 9*c - 455. Determine x(50).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nd when two letters picked without replacement from ppddnddnn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -35525, -35440, -35359, -35282?\nAnswer: -35209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 31 + -30.82. Let t = 1.8653 + 0.1347. Which is smaller: t or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 125\/45 + 7\/((-63)\/(-2)). Suppose -11 + 449 = v*t. What are the prime factors of t?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-15840)\/(-35) + -1 + 8\/(-14). Suppose -2*n + 5*d + c = n, -n + 145 = d. What is the highest common factor of n and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 919098?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1769*h**6*o**3 - 4*h**3*o**3 - 2*h**2 - 3757*o**3 wrt h.\nAnswer: 212280*h**3*o**3 - 24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 31 divided by -10\nAnswer: -31\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-7)\/t)\/t**(1\/9)*t*t\/(t**2*t)*t**0*((t\/((t**2*t)\/t))**(2\/9))**3 assuming t is positive.\nAnswer: t**(-88\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qg when two letters picked without replacement from gggggggggggggqgggggg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 30, 2\/5, -2\/15, 0.3, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6 + 13. Let g = 172 - 271. Let z = g - -491\/5. Which is the third biggest value?  (a) i  (b) -2\/9  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -2 + 13*y + 5*y - 2*y. Let m be n(-3). Let i = m - -101. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1010191.9372 rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/69  (b) -1007  (c) 2  (d) -4\/7  (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 17397272*m**2*z - 20437961*z wrt m.\nAnswer: 34794544*m*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*n**2 - 30*n**3 + 11739*n - 11739*n + 3*n**2.\nAnswer: -30*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2791\/9 + 310. Let q = 0.21 + -0.17. Which is the nearest to 2?  (a) j  (b) q  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t + 8. Suppose -4*r - 3*w + 6 = 0, -4*r + w + 1 = 3. Let n be h(r). Let j be (-10)\/14 - n\/28. What is the biggest value in 0.5, 1, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7 - 3. Let u(b) = -6*b - 5*b**2 + 0*b**3 + f - 3 - b**3. Is u(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -f**3 - 4*f**2 + 11*f - 3. Let k be t(-6). Solve i = 2 - k for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve i = -4*a - 15, -2*i = -4*a + 3*i + 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = -3*s - 0*s - 38, 3*s = -3*x - 57. Suppose -2*r - 3*r + 150 = 0. Let n = x + r. 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 f = 42653.451 - 42608. Round f to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -308, -627, -960, -1313, -1692, -2103, -2552, -3045?\nAnswer: -3588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -2*30\/25*5\/4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -279140*h + 279154*h - 840. Calculate the greatest common divisor of 235 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 484*a + 3386. What is b(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -11.000002 + 11. What is l rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (3 - -3)*(-17)\/(-34). Suppose 5*z = 3*m, 0*m - z = u*m. Which is smaller: m or -1\/92?\nAnswer: -1\/92","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*u = 5*u + 7*b - 2*b + 110 + 158, -4*u - b = -319 for u.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 58263?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/5?  (a) 2\/7  (b) 326  (c) 1\/5  (d) 3924\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10 + 4121?\nAnswer: 4111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1003230203 (base 4) in base 11?\nAnswer: 17a366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -107 > -106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 777250.628 rounded to the nearest one thousand?\nAnswer: 777000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the third derivative of r**4\/24 - r**2. Let m(u) be the third derivative of 0*u + 0 + 0*u**3 - 11*u**2 - 1\/8*u**4. Determine k(m(x)).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.046, 774, -4, 2, 0.6, 2\/7, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 177 divide 1092749679?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1 + 1 + -1*4. Let n be d\/(-2) - 3\/2. Suppose 6 = -36*m + 38*m. Which is the nearest to n?  (a) m  (b) 2\/7  (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 + 0.47436?\nAnswer: 20.47436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -489\/77 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*g = -3*x + 5*g + 16934, -3*g = 2*x - 11288. List the prime factors of x.\nAnswer: 2, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let o = -11298.3 + 11298. Suppose -11 = 2*n - 1. Let l(z) = z**3 + 4*z**2 - 5*z - 3. Let r be l(n). What is the third smallest value in r, o, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 159974 greater than or equal to 160050?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5043835.\nAnswer: 5, 19, 53093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -36*q + 9. Let z be y(3). Let j = z - -106. Suppose -j = 4*d - 3*u, -4*u + 7 + 7 = -3*d. Is d <= 11\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 201 * 22.\nAnswer: 4422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = -y + 25, 0*y + 95 = 5*i - y. Let n(u) = -u**3 + 12*u**2 + 4*u - 9. Calculate the remainder when n(12) is divided by i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**3*n*n**(-5)\/n*n**(2\/7)*n**0)\/((n\/n**0)**23*n*n\/(n**(-1\/3)*n)*n\/(((n\/(((n*n**3\/n)\/n)\/n))\/n)\/n)) assuming n is positive.\nAnswer: n**(-610\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 26 - 16. Suppose -4*v - v = -4*g - 12, 5*g = x. Suppose 5*w - v - 1 = 0. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4698 - -94037\/20. Calculate the common denominator of o and ((-108)\/(-110))\/(24\/15).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2816116006 to the power of 1\/4, to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -m**3 + 7*m**2 + 7*m - 7. Let v(b) = b - 2. Let r be v(5). Let q(w) = 5*w**2 - w - 4*w**2 + w**2 + 1 - r*w**2. What is -2*p(h) - 14*q(h)?\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that -3*x**3 - 1224*x**2 - 122364*x + 509232 = 0.\nAnswer: -206, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -4 + 2 - ((-556)\/48 - 1) and 47\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 n when two letters picked without replacement from {v: 1, z: 3, i: 1, n: 5, c: 4}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.483927 years to months.\nAnswer: 113.807124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z - 2*z + 3*z)*(0 + 0 - 1) + 0*z + z - 5*z + 5*z - 4*z - 2*z + (-4 + 4 - 1)*(-z - 2*z + 2*z) + 3*z + z - z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/10  (b) -5  (c) 4496  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence quii when four letters picked without replacement from {u: 1, i: 3, q: 3, z: 3}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -24103 - -26310. Does 13 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k - 5. Let o be f(-9). Let p = 17.69 - 19.6. Let q = -1.09 + p. Which is the third biggest value?  (a) -3\/2  (b) o  (c) q  (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 33\/13, -0.048, 18 in decreasing order.\nAnswer: 18, 33\/13, -0.048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3151 - -2104?\nAnswer: 5255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m - 1. Let f(w) = -4*w - 2 + 4 - 4. Let y(x) = f(x) - 2*o(x). Let i(g) = 6 - 3*g - 6. Determine y(i(q)).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -8517521907 - -0.5?\nAnswer: -8517521906.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 6*z - 22. Determine n(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -841.6 - -842.1. Which is the nearest to 16?  (a) -1.3  (b) -3  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -11.9 * -0.14451.\nAnswer: 1.719669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 548.4499 to the nearest ten.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.3626 and 0.2.\nAnswer: -0.1626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 90364359.\nAnswer: 3, 30121453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2107 is divided by 525.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 121 minutes before 10:10 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 76 + 16 = 0. Suppose 0 = 3*k - 0*k - v, -2*b - 2*k = -16. Suppose -b*m - 30300 = -m. Round m to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 11194435 and 454895.\nAnswer: 1435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that u**3\/8 + 35*u**2\/4 = 0.\nAnswer: -70, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0.5  (b) 82.8  (c) -3  (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2307 - 2417 = 10*s for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 194510?\nAnswer: 2, 5, 53, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 82518, 82485, 82454, 82425, 82398, 82373?\nAnswer: 82350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s - 34 = 2*s. Suppose -16*k + 4*f = -14*k + 32, k = -2*f - 20. Which is bigger: s or k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 1 + 2)*(4*u - 3*u - 2*u) to the form m + r*u and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 33693 + -33690. Solve 0*k = -o*l - k, 3*l + 9 = -4*k for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w + 90 = 13*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -19*n + 38*n + 2 + 21*n + 28*n in the form q*n + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v = -11*v - 5. Let a = 0.0124 + 3.9876. What is the second smallest value in v, 4\/3, a?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 29*j**3 - j**2. Let b(i) = -i**3 - 5*i**2 - 3*i - 36. Calculate the remainder when b(-7) is divided by o(1).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -67 + 45. Let b be 0 - (0 + 188\/u). Let n = b - 1388\/165. Which is bigger: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that g**4\/9 - 2*g**3\/3 - 76*g**2\/9 - 62*g\/3 - 13 = 0.\nAnswer: -3, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9333 and 306.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3*n - 3)*(4 + 2 - 3)*(-4 - 5 + 8).\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 19*k + 8. Let i(z) = -38*z - 14. Give -11*a(h) - 6*i(h).\nAnswer: 19*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 4, f: 1, d: 1, q: 2}. Give prob of picking 1 q, 1 f, and 1 d.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/l**(-1))**(-41))**43*((l*(l\/(l**2*l*l))\/l)**(-40))**(-2) assuming l is positive.\nAnswer: l**(-3766)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (139 + 86*k + 139 - 277 + (0 + 0 - 1)*(-k - 2*k + 4*k))*(4 + 7 - 16).\nAnswer: -425*k - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 12835637 to the power of 1\/3, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 65 - 44. Suppose 4*k - 11 = c. Calculate the lowest common multiple of k and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 104 is divided by 25.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from msssssssmmsmsmmm. Give prob of sequence smm.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = -4*v - 33. Suppose -2*u = u - v. Suppose 2*q - 3*d = 11, -8 = -q - 2*q - 4*d. Solve 5*i + f = -3 - 6, 3*f - u = q*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = h - 3. Suppose 1 = -3*x - 5. Let v(z) = -2. What is x*r(g) + 3*v(g)?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 9357750 and 13250?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 times -1.87?\nAnswer: -1.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 54 + -50. Which is the third smallest value?  (a) -3  (b) j  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5090 = -15*j - 24070. Calculate the common denominator of 13\/6 and 5660\/j - -3*(-1)\/(-1).\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 160 and 1948460?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3.06 - -170.06. Let w = -163 + z. Which is the third smallest value?  (a) w  (b) 2\/3  (c) -2\/7  (d) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6 + -5 - -5) + -2 - 9 - 7.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide (299475\/300)\/((-3)\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 46074602 and 98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 448854*i**2 - 224427*i**2 - 224421*i**2.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q**3 + q**2 + 2. Suppose -8*r + 6*r + 3*a = 12, 0 = 5*r - a + 4. Give u(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) be the second derivative of 7*l**3\/6 - 7*l**2\/2 + 6*l. Does 14 divide z(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-two fifths of a millennium in years?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -7 + -c?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1106 + -12230432?\nAnswer: -12226323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 53803.4 meters in nanometers?\nAnswer: 53803400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -5, -22, 4, 46, 6 in decreasing order.\nAnswer: 46, 6, 4, -4, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 291 minutes before 8:27 PM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 54 a factor of 5629066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 17840 and 200?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*m**3*t**2 + 5*m**3*t*w**2 + 150871*m**3*t*w + 5*m*t*w**2 - 13551*t**2*w**2 + 4*t**2 wrt t?\nAnswer: -6*m**3 - 27102*w**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {x: 5, o: 9}?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -2185 * 0.001\nAnswer: -2.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 23.9 + -25. Which is smaller: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 - 310?\nAnswer: -314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 27533 (base 9) in base 4?\nAnswer: 10203210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 2*o**3 - 178*o**2 + 13*o - 1152. Let s be z(89). Let t(w) be the first derivative of -w**3\/3 + 7*w**2\/2 - 5*w + 1. Give t(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 4, -100845 in descending order.\nAnswer: 4, -4, -100845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 divided by -66168.\nAnswer: -1\/11028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 97 from -0.1136.\nAnswer: -97.1136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -24  (b) -16\/3  (c) -1467\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -4. Let p be 2 + -9 + (3 - -9) + -7. Let h(d) = -d - 1. Give p*h(a) + n(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*v = -120 - 111. Let h = 31 - 22. Let r = h - -2. What is the highest common divisor of r and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -950*h**5 - 16*h**2 + 23?\nAnswer: -57000*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) be the third derivative of -199*h**8\/1344 + h**7\/420 + 199*h**6\/60 - h**5\/15 - 199*h**4\/6 + 4*h**3\/3 + 5*h**2 + 490. What is k in r(k) = 0?\nAnswer: -2, 2\/199, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 149.48468 take away 0.111867?\nAnswer: 149.372813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 47232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 60336310?\nAnswer: 2, 5, 43, 140317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4\/7, -0.058, 3, -5.\nAnswer: -5, -0.058, 4\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s*s**(-1\/13)*s*s)*s*s*s**(-16)*s\/(s\/s**(-3\/4))*s*s\/(s\/(s\/(s\/(s\/((s\/s**(4\/5))\/s)))))*s)**32 assuming s is positive.\nAnswer: s**(-26776\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -2*c**3 - c**2 + 6*c**3 + 1 + 2*c - c. Find the common denominator of t(-1) and (28\/(-18))\/(28\/(-273)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4912 (base 13) in base 7?\nAnswer: 42046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1768128 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(77) + (sqrt(77) - (sqrt(77)*-3 + sqrt(77)))*-4))\/(sqrt(847)*3*-3).\nAnswer: -sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3751 and 2728.\nAnswer: 30008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*d - 5*d - 2, 4*a + 3*d - 19 = 0. Suppose 0 = 4*z + a*z + z. Suppose z = -5*k - k. Solve k*m - 25 = 5*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bfbfbbbbbbbbbfbbfb. Give prob of sequence bbbb.\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 76*x**2 + 142*x**2 + 10*x**3 + 8*x**3.\nAnswer: 18*x**3 + 218*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3\/2  (b) -51.6  (c) -261\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.1  (b) 2\/15  (c) -24  (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 37*n. Let c(a) = 260606*a. What is c(t(w))?\nAnswer: 9642422*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10 - -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 - 1325828*s**2 + 6.\nAnswer: -1325828*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 681 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out 8239 + -16.\nAnswer: 8223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -9*d + 60. Suppose -2*f + g + 5 - 2 = 0, 0 = 5*f - 2*g - 6. Determine s(f).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve x + 13*x - 28 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -4*z + 4*m, 3*m + 0*m = -3*z + 9. Solve -w = -z*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11110 - 3?\nAnswer: -11113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 269 (base 12) to base 3\nAnswer: 111200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -44\/153 and 94\/675.\nAnswer: 11475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the third derivative of z**5\/15 + 11*z**4\/24 - 374*z**2 + 10*z. Let w(g) = 36*g**2. Give r(w(d)).\nAnswer: 5184*d**4 + 396*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -13, 2264, -6.\nAnswer: -13, -6, -5, 2264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-24)\/(-20)*(-20)\/(-16). Sort -1\/5, t, 5 in increasing order.\nAnswer: -1\/5, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2594 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 15?  (a) 2\/11  (b) 30  (c) 1\/109\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*b = 5*j - 18, -3*j - 11*b + 8*b + 13 = -6*j + 31 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3 + 3\/1)*-1. Suppose 2*a + 0*a - 24 = o. Suppose -4*r + a = 0, -3*x + 15 = 3*r - 9. Calculate the highest common divisor of x and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n**2 - 4431*n + 39816. Determine r(9).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.08 - 0.58. Let z be (-3)\/(-14)*3\/(18\/8). Suppose 4*v + 4 + 0 = 0. Which is the nearest to v?  (a) 2\/11  (b) z  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 208*g + 4. Let s be i(-2). Let n = 643 - s. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 2.629262ns?\nAnswer: 0.000002629262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*((sqrt(68) + 1 - sqrt(68)) + sqrt(68)))**2.\nAnswer: 100*sqrt(17) + 1725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -t**3 + 10*t**2 - 5*t - 12. Is 5 a factor of q(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -10480 - -10484. Suppose 5*t = -2*s - 1, 4*s + 9*t - 3 = 4*t. Let n be (6 - 5) + s\/(-2). Sort r, n, -3 in descending order.\nAnswer: r, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = v - 2*v - 20, -3*v + 5*m = 30. Let o = 20.31 - 22.51. Which is the biggest value?  (a) -0.5  (b) o  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3620352655 to the power of 1\/2, to the nearest integer?\nAnswer: 60169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 3*f - 4. Let k be i(5). Suppose -14*j - 5*s + 16 = -k*j, -s = -2. Solve 3*r + 5 = -j*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 15449275*m**3 - 246794480*m wrt m?\nAnswer: 92695650*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 95 is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 819, 812, 791, 750, 683, 584?\n\"Answer: -d**3 - d**2 + 3*d + 818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 214617649451577301.00000074 + -214617657693186422. Let l = 8241609201 + a. Let w = -80 + l. Round w to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*r - 231 = -25*r. Let u = r + -44. Sort -1, u, 2, 0 in descending order.\nAnswer: 2, 0, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -252202693*k**2 - 7079*k + 1248 wrt k.\nAnswer: -504405386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -1106430*0.057\nAnswer: -63066.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1\/6 - 1\/3. Let n = 4.1 - -0.9. Let d = -1 + n. Which is the third smallest value?  (a) -2\/13  (b) k  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*f - 125*f**3 + 130*f**3 - 4*f + 8*f.\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j - 238*r = -229*r + 47, -5*r = 5*j + 40 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g, 1 f, and 1 d when three letters picked without replacement from fggffdfgffg.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 585854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the second derivative of -15*b - 2\/3*b**2 + 1\/36*b**4 + 0 + 1\/6*b**3. Determine i, given that q(i) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -p + 9. Let i be d(9). Which is the biggest value?  (a) 4  (b) i  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29611198?\nAnswer: 2, 113, 131023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}